As you should know, there are two types of nuclear weapons. An "atomic bomb" is a weapon with a war-head powered by nuclear fission. An "H-bomb" or "hydrogen bomb" is a weapon with more powerful warhead powered by nuclear fusion.
You can read all about the (unclassified) details of their internal construction and mechanism here.
Occasionally you will find a fusion weapon referred to as a "Solar-Phoenix" or a "Bethe-cycle" weapon. This is a reference to the nuclear scientist Hans Bethe and the Bethe-Weizsäcker or carbon-nitrogen cycle which powers the fusion reaction in the heart of stars heavier than Sol.
A "neutron bomb" is what you call an "enhanced radiation bomb". They are specially constructed so more of the bomb's energy is emitted as neutrons instead of x-rays. This means there is far less blast to damage the buildings, but far more lethal neutron radiation to kill the enemy troops. Conventional nuclear warheads typically release 5% of the energy as neutrons, but in neutron bombs it is more like 40%. Neutron energy is higher as well: 14 MeV instead of the conventional 1 to 2 MeV.
A 1 kiloton neutron bomb will irradiate anybody unfortunate enough to be at a range of 900 meters with 80 Grays of neutrons. According to dosages set by the US military, this is high enough to instantly send the victim into a coma, with certain death to follow within 24 hours due to damage to the central nervous system. The LD50 dose is at a range of between 1350 and 1400 meters.
- Neutron activation of the steel girders of buildings would render them unsafe. Which was one of the selling points of neutron bombs: the buildings could be immediately used by an advancing army, once you removed all the dead enemy soliders.
- Armored fighting vehicles provide enemy soldiers with a surprisingly high protection of neutron radiation, and can be easily increased. Since all spacecraft include radiation shielding from solar storms and galactic cosmic rays, this will drastically reduce the effect of neutron bombs. Spacecraft with nuclear propulsion will try to aim their shadow shields at the neutron bomb for added protection.
- Enemy soldiers can also find high amounts of protection by sheltering inside buildings with 12 inch concrete walls and ceiling, or in a cellar under 24 inches of damp soil. Both will reduce the radiation exposure by a factor of 10.
- Neutron bomb ordinance requires maintenance, since one of the components is Tritium with its annoyingly short half-life of 12.32 years. This means that every few years the neutron bombs will have to be opened up and have their tritium replaced.
You will also occasionally find references to a nasty weapon called a "cobalt bomb". This is technically termed a "salted bomb". It is not used for spacecraft to spacecraft combat, it is only used for planetary bombardment. They are enhanced-fallout weapons, with jackets of cobalt or zinc to generate large quantities of deadly radioactive cobalt or zinc isotope dust. The warhead proper will probably be a neutron bomb: since the more neutrons emitted by the warhead, the more of the jacket will be neutron-activated into radioactive isotopes.
Suggested elements include cobalt, gold, tantalum, zinc, and sodium. The idea is to use as a jacket some element that will neutron activate into an isotope which is a high intensity gamma ray emitter with a long half-life.
Please note the difference between a "salted bomb" and a "dirty bomb".
A dirty bomb is an ordinary chemical explosive in a small bag of ground-up radioactive material. The chemical explosion merely sprays the powdered plutonium or whatever all over the city block. Strictly a terrorist weapon, it is pretty worthless as a military weapon.
A salted bomb is a nuclear warhead designed to make a nuclear explosion that will spread millions of bagfulls of fallout that is thousands of times more radioactive that mere powdered plutonium over a quarter of a continent.
Term comes from metaphor "sowing the Earth with salt".
As far as warhead mass goes, Anthony Jackson says the theoretical limit on mass for a fusion warhead is about 1 kilogram per megaton. No real-world system will come anywhere close to that, The US W87 thermonuclear warhead has a density of about 500 kilograms per megaton. Presumably a futuristic warhead would have a density between 500 and 1 kg/Mt. Calculating the explosive yield of a weapon is a little tricky.
For missiles, consider the US Trident missile. Approximately a cylinder 13.41 m in length by 1.055 m in radius, which makes it about 47 cubic meters. Mass of 58,500 kg, giving it a density of 1250 kg/m3. The mass includes eight warheads of approximately 160 kg each.
Wildly extrapolating far beyond the available data, one could naively divide the missile mass by the number of warheads, and divide the result by the mass of an individual warhead. The bottom line would be that a warhead of mass X kilograms would require a missile of mass 45 * X kilograms, and a volume of 0.036 * X cubic meters (0.036 = 45 / 1250). Again futuristic technology would reduce this somewhat.
Nuclear weapons will destroy a ship if they detonate exceedingly close to it. But if it is further away than about a kilometer, it won't do much more than singe the paint job and blind a few sensors. And in space a kilometer is pretty close range.
Please understand: I am NOT saying that nuclear warheads are ineffective. I am saying that the amount of damage they inflict falls off very rapidly with increasing range. At least much more rapidly than with the same sized warhead detonated in an atmosphere.
But if the nuke goes off one meter from your ship, your ship will probably be vaporized. Atmosphere or no.
George William Herbert says a nuke going off on Terra has most of the x-ray emission absorbed by the atmosphere, and transformed into the first fireball and the blast wave. There ain't no atmosphere in space so the nuclear explosion is light on blast and heavy on x-rays. In fact, almost 90% of the bomb energy will appear as x-rays behaving as if they are from a point source (specifically 80% soft X-rays and 10% gamma), and subject to the good old inverse square law (i.e., the intensity will fall off very quickly with range). The remaining 10% will be neutrons.
The fireball and blast wave is why nuclear warheads detonating in the atmosphere will flatten buildings for tens of kilometers, but detonations in space have a damage range under one kilometer.
For an enhanced radiation weapon (AKA "Neutron Bomb") figures are harder to come by. The best guess figure I've managed to find was up to a maximum of 80% neutrons and 20% x-rays.
If you want to get more bang for your buck, there is a possibility of making nuclear shaped charges. Instead of wasting their blast on a spherical surface, it can be directed at the target spacecraft. This will reduce the surface area of the blast, thus increasing the value for kiloJoules per square meter.
According to John Schilling, with current technology, the smallest nuclear warhead would probably be under a kiloton, and mass about twenty kilograms. A one-megaton warhead would be about a metric ton, though that could be reduced by about half with advanced technology.
Eric Rozier has an on-line calculator for nuclear weapons. Eric Henry has a spreadsheet that does nuclear blast calculations, including shaped charges, on his website. For bomb blasts on the surface of the Earth or other planet with an atmosphere, you can use the handy-dandy Nuclear Bomb Effects Computer. But if you really want to do it in 1950's Atomic Rocket Retro style, make your own do-it-yourself Nuclear Bomb Slide Rule!
Thermonuclear weapons are typically a mass of fusion fuel (with some other items) that are ignited to fusion temperatures by a fission bomb "match." The requirement of an atom bomb to light off your h-bomb is a bit inefficient. In science fiction one occasionally encounters fusion weapons that contain unobtainium capacitors powering honking huge lasers to ignite fusion. You might save on plutonium, but this is hardly cheaper than conventional fusion warheads.
Finn van Donkelaar has been playing around with another concept. It might be barely possible to ignite a small fusion reaction using chemical explosives. Maybe. Not out of the question. Possibly. Not impossible. Sort of.
His initial write up is very interesting reading, abet loaded with nasty equations. He notes it has a lower yield-to-weight ratio compared to conventional fusion warheads (which is bad), but has a couple of advantages. Which you can read about in the report.
He calculate the device in the diagram above is at the low end of possible yields. Mass of 20 kilograms, length of 45 centimeters, diameter of 8 centimeters, and a yield of 250 kg of TNT. Scaled up to largest reasonably portable size the same design would have a mass of 1.6 metric tons, length of 2.5 meters, diameter of 40 centimeters, and a yield of 2 kilotons of TNT.
Most SF fans have a somewhat superficial understanding of EMP: an evil foreign nation launches an ICBM at the United States, the nuke detonates in the upper atmosphere over the Midwest, an EMP is generated, the EMP causes all stateside computers to explode, all the TVs melt, all the automobile electrical systems short out, all the cell phones catch fire, basically anything that uses electricity is destroyed.
This is true as far as it goes, but when you start talking about deep space warfare, certain things change. Thanks to Andrew Presby for setting me straight on this matter.
First off, the EMP I just described is High Altitude EMP (HEMP). This EMP can only be generated if there is a Terra strength magnetic field and a tenuous atmosphere present. A nuke going off in deep space will not generate HEMP. Please be aware, however, if a nuke over Iowa generates a HEMP event, the EMP will travel through the airless vacuum of space just fine and fry any spacecraft that are too close.
Secondly, EMP can also be generated in airless space by an e-Bomb, which uses chemical explosives and an armature. No magnetic field nor atmosphere required. This is called a Non-nuclear electromagnetic pulse (NNEMP). As with all EMPs, once generated they will travel through space and kill spacecraft.
Thirdly, there is System Generated EMP (SGEMP) to consider. HEMP is created when the gamma rays from the nuclear detonation produce Compton electrons in air molecules, and the electrons interact with a magnetic field to produce EMP. But with SGEMP, gamma rays penetrating the body of the spacecraft accelerated electrons, creating electromagnetic transients.
A one kiloton nuclear detonation produces 4.19e12 joules of energy. One kilometer away from the detonation point defines a sphere with a surface area of about 12,600,000 square meters (the increase in surface area with the radius of the sphere is another way of stating the Inverse Square law). Dividing reveals that at this range the energy density is approximately 300 kilojoules per square meter. Under ideal conditions this would be enough energy to vaporize 25 grams or 10 cubic centimeters of aluminum (in reality it won't be this much due to conduction and other factors).
1e8 watts per square centimeter for about a microsecond will melt part of the surface of a sheet of aluminum. 1e9 W/cm2 for a microsecond will vaporize the surface, and 1e11 W/cm2 for a microsecond will cause enough vaporization to create impulsive shock damage (i.e., the surface layer of the material is vaporized at a rate exceeding the speed of sound). The one kiloton bomb at one kilometer only does about 3.3e7 W/cm2 for a microsecond.
One megaton at one kilometer will do 3.3e10 W/cm2, enough to vaporize but not quite enough for impulsive shock. At 100 meters our one meg bomb will do 3.3e12 W/cm2, or about 33 times more energy than is required for impulsive shock. The maximum range for impulsive shock is about 570 meters.
Luke Campbell wonders if 1e11 W/cm2 is a bit high as the minimum irradiation to create impulsive shock damage. With lasers in the visible light and infrared range, 1e9 W/cm2 to 1e10 W/cm2 is enough. But he allows that matters might be different for x-rays and gamma rays due to their extra penetration.
As to the effects of impulsive damage, Luke Campbell had this to say:
Dr. John Schilling describes the visual appearance of a nuclear strike on a spacecraft.
Crew members are not as durable as spacecraft, since they are vulnerable to neutron radiation. A one megaton Enhanced-Radiation warhead (AKA "neutron bomb") will deliver a threshold fatal neutron dose to an unshielded human at 300 kilometers. There are also reports that ER warheads can transmute the structure of the spacecraft into deadly radioactive isotopes by the toxic magic of neutron activation. Details are hard to come by, but it was mentioned that a main battle tank irradiated by an ER weapon would be transmuted into isotopes that would inflict lethal radiation doses for up to 48 hours after the irradiation. So if you want to re-crew a spacecraft depopulated by a neutron bomb, better let it cool off for a week or so.
For a conventional nuclear weapon (i.e., NOT a neutron bomb), the x-ray and neutron flux is approximately:
Fx = 2.6 x 1027 * (Y/R2)
Fn = 1.8 x 1023 * (Y/R2)
- Fx = X-ray fluence (x-rays/m2)
- Fn = Neutron fluence (neutrons/m2)
- Y = weapon yield (kilotons TNT)
- R = range from ground zero (meters)
There are notes on the effects of radiation on crew and electronics here.
Back in the 1960's, rocket scientist came up with the infamous "Orion Drive." This was basically a firecracker under a tin can. Except the tin can is a spacecraft, and the firecracker is a nuclear warhead.
Anyway, they realized that about 99% of the nuclear energy of an unmodified nuclear device would be wasted. The blast is radiated isotropically, only a small amount actually hits the pusher-plate and does useful work. So they tried to figure out how to channel all the blast in the desired direction. A nuclear shaped charge.
Remember that in the vacuum of space, most of the energy of a nuclear warhead is in the form of x-rays. The nuclear device is encased in a radiation case of x-ray opaque material (uranium) with a hole in the top. This forces the x-rays to to exit only from the hole. Whereupon they run full tilt into a large mass of beryllium oxide (channel filler).
The beryllium transforms the nuclear fury of x-rays into a nuclear fury of heat. Perched on top of the beryllium is the propellant: a thick plate of tungsten. The nuclear fury of heat turns the tungsten plate into a star-core-hot spindle-shaped-plume of ionized tungsten plasma. The x-ray opaque material and the beryllium oxide also vaporize a few microseconds later, but that's OK, their job is done.
The tungsten plasma jet hits square on the Orion drive pusher plate, said plate is designed to be large enough to catch all of the plasma. With the reference design of nuclear pulse unit, the plume is confined to a cone of about 22.5 degrees. About 85% of the nuclear device's energy is directed into the desired direction, which I think you'd agree is a vast improvement over 1%.
About this time the representatives of the military (who were funding this project) noticed that if you could make the plume a little faster and with a narrower cone, it would no longer be a propulsion system component. It would be a nuclear directed energy weapon. Thus was born project Casaba-Howitzer.
Details are scarce since the project is still classified after all these years. Tungsten has an atomic number (Z) of 74. When the tungsten plate is vaporized, the resulting plasma jet has a relatively low velocity and diverges at a wide angle (22.5 degrees). Now, if you replace the tungsten with a material with a low Z, the plasma jet will instead have a high velocity at a narrow angle ("high velocity" meaning "a recognizable fraction of the speed of light"). The jet angle also grows narrower as the thickness of the plate is reduced. This is undesirable for a propulsion system component (because it will destroy the pusher plate), but just perfect for a weapon (because it will destroy the enemy ship).
The report below suggests that the practical minimum half angle the jet can be focused to is 5.7° (0.1 radians).
They would also be perfect as an anti-ballistic missile defence. One hit by a Casaba Howitzer and a Soviet ICBM would be instantly vaporized. Which is why project Casaba-Howitzer's name came up a few times in the 1983 Strategic Defense Initiative.
Casaba Howitzers fired from orbit at ground targets on Terra would be inefficient, which is not the same as "does no damage." A nuclear warhead fired at a ground target would do far more damage, but the Casaba Howitzer bolt is instantaneous, non-interceptable, and would still do massive damage to an aircraft carrier.
Scott Lowther has done some research into a 1960's design for an Orion-drive battleship. It was to be armed with naval gun turrets, minuteman missiles with city-killing 20 megatons warheads, and Casaba-Howitzer weapons. It appears that the Casaba-Howitzer charges would be from subkiloton to several kilotons in yield, be launched on pancake booster rockets until they were far enough from the battleship to prevent damage (several hundred yards), whereupon they would explode and skewer the hapless target with a spear of nuclear flame. The battleship would probably carry a stockpile of Casaba-Howitzer weapons in the low hundreds.
Mr. Lowther estimates that each Casaba-Howitzer round would have a yield "up to a few kilotons" and could deliver close to 50% of that energy in the spear of nuclear flame. Three kiltons is 1.256 × 1013 joules, 50% of that is 6.276 × 1012 joules per bolt.
This is thirty-five times as powerful as a GBU-43/B Massive Ordnance Air Blast bomb, the second most powerful non-nuclear weapon ever designed. Per bolt.
Get a copy of the report for more details, including a reconstruction of a Casaba-Howitzer charge.
What is the mass and volume of a Casaba-Howitzer charge? Apparently this also is still classified.
An Orion Drive nuclear pulse unit would be about 1,150 kg, have a blast yield of about 29 kilotons, and be a cylinder with a radius of 0.4 meters and a height of 0.87 meters. The volume would therefore be about 0.4 cubic meters. As previously mentioned a Casaba-Howitzer charge would have a yield ranging from sub-kiloton to a few kilotons, so presumably it would be smaller and of lower mass than a pulse unit. I just got the lastest inside scoop from Scott Lowther. He estimates each Casaba Howitzer charge is about 115 kg and 0.14 m3, with a probable yield of 5 kilotons. See details below:
Mass Schedule System Mass
Optics 9.1 Primary ACS 9.1 Secondary ACS 2.7 Communication 2.7 Warhead 90.7 TOTAL 114.3
The story is fictional, an alternate history novel. But the details about the Orion nuclear pulse drive and the casaba howitzer are meticulously researched and extrapolated where the details are classified.
Warhead has a length of 0.676 meters, infrared telescope has a length of 0.552 meters. Length when folded, about 1.23 meters. It is mostly a cylinder with a diameter of 0.387 meters, but there are four bumps near the top of the warhead that increase the diameter to 0.412 meters. I calculate the volume to be approximately 0.14 m3.
Nuclear device yield is 5 kilotons. Weapon jet velocity is 280,000 meters per second, containing a whopping 8,700 Ricks.
The first generation of operational Casaba Howtizer units was first deployed in 1972 aboard the USSF Hornet. The units were composed of four primary assemblie… the modified small Orion pulse unit, a high-thrust, short-burn solid rocket booster, a 13-inch infrared telescope and a deployable communications module. All are stored and launched as a 15.25" (0.412 m) diameter cylinder. During the short boost phase, the freon fluid-injection TVC system directs the unit towards the target and roughly aims it using internally stored data obtained from the warship at the moment of launch. After booster separation the unit deploys the sensor and communication systems. A high-thrust monopropellant thruster system aims the weapon to within half a degree of the target. The infrared scope detects the target, using reflected laser light (projected from the warship); the cold gas thruster perform final aiming. Weapons initiation is commanded from the warship after confirmation of target lock.
From author's afterword:
Discussion of Casaba-Howitzer
The Casaba-Howitzer was a real concept: a modified pulse unit that fired a jet of plasma. But instead of a jet of fairly dense plasma at a fairly wide angle, Casaba-Howitzer was to fire a lower density jet at a much tighter angle in order to serve as a weapon. Work continued well after the Orion program was terminated. And that, sadly, is about the sum total of the publicly available information on Casaba-Howitzer. Everything else about it is speculative. So, I speculated.
My first generation Casaba-Howitzer weapon is a modification of the pulse unit designed for the small 10-meter Orion. Exactly how a tight “beam” of nuclear death was to be generated, what sort of range could be expected… these are concepts about which I simply cannot speculate. But other areas sort of fall into place on their own. Was Casaba-Howitzer a weapon that would be fired from the ship, like a massive cannon? Given that the yield for a small pulse unit was a good fraction of a kiloton, trying to contain that energy in any sort of cannon-like object seems futile. So the pulse unit would be fired in free space. And likely you’d want to fire it at some distance from the ship. Therefore the pulse unit would need to be projected from the ship. This could be done via either gun or rocket; I’ve chosen rocket. In this case, a fast-burning, high-thrust booster similar to a Sprint motor, using Freon injection in the nozzle for thrust vectoring. The rocket would burn for only a second or so, tossing the projectile some considerable distance from the ship. After burnout, the projectile would unfold. I’ve given the projectile a sizable telescope with an IR scanner and a communications system. The presumption is that the weapon would be used to take out enemies at ranges of hundreds of kilometers, so it would need precise aim. If it was hundreds of yards from the ship, the only way to be sure of precise orientation with early 1970’s tech would be if the projectile could see what it was aiming at. The projectile would be aided by a laser on the warship; this would illuminate the target, making it stand out from the background, shining as a bright point in the distance. Computer aiming would be needed; even with a jet velocity of 2.8×107 cm/sec (~174 miles/sec) — slightly less than twice that of the pulse unit — it will still take several seconds to hit a target. In that time the jet will have radiated away much of its heat as well as spreading out some distance, so the target will be hit with a shotgun blast of tiny particles. A thin cloud of dust moving at one tenth of one percent the speed of light.
The weapon has three attitude control systems. The first is the thrust vector control system on the booster; this is enough to get the unit within a few degrees of the target. The second system is a hydrazine monoprop thruster system which, once the system is properly deployed, quickly gets the weapon within a fraction of a degree of the target. The third is a simple cold gas (helium) system that has very low but precise thrust, used for getting the system precisely on target. Once the weapon has locked onto the target, the command to fire is issued by the warship. The weapon is initially launched with the telescope and radio communications system folded against the front of the system, but you wouldn’t want “stuff” immediately in front of the beam, as that would disrupt the blast.
The Casaba Howitzer yield is here given as 5 kilotons, about ten times the yield of a comparable pulse unit. The pulse units were at the low end of what was feasible for repeatable nukes; dialing one up to five kilotons would only be a matter of letting the base nuke be what it wants to be, rather than intentionally throttling it.
DIRECTED THERMONUCLEAR EXPLOSIVES
Another device being investigated by both SDI architects and weapon designers is "a kind of nuclear shotgun with little pellets" named Prometheus. According to a Congressional report that was otherwise quite pessimistic about SDI, Prometheus "may have nearer-term applications for picking out warheads from decoys" (in the midcourse phase of ballistic-missile flight) than the Neutral Particle Beam (NPB), a leading contender for that role. Encouraged by experiments already conducted, SDI officials in 1987 ordered an acceleration of the Prometheus project for "concept verification," using funds from that year's $500 million supplemental SDI request.
One research engineer familiar with the project described the device as operating much like a rifle, using a polystyrene-filled barrel to help couple a plate to the "gunpowder-like" blast of a directed nuclear charge. After the impulse from the explosion generates an intense shock wave, the plate "fractionates" into millions of tiny particles. Of course, these would vaporize if in direct contact with the bomb, but as configured, the pellets have reportedly achieved speeds of 100 kilometers per second without vaporization.‡
Thermonuclear shaped charges, one of the better understood third-generation concepts§, have much in common with conventional shaped-charge explosives already used extensively in military and commercial applications. Both conventional and thermonuclear shaped charges tailor an explosive burn-wave using a detonation front that releases energy along a prescribed path. Both can produce jets of molten metal having velocities greatly in excess of the detonation velocity.*
For thermonuclear fuels such as deuterium plus tritium, the burn-wave can be directed by placing hollow bubbles or inert solids in the path of the detonation front in order to alter its velocity. Of course, ignition of a thermonuclear burn in a warhead requires a fission trigger to achieve the necessary compression and temperature (about 100 million K), but even with such a (nondirected) trigger, the overall directivity of a thermonuclear shaped charge can still be significant. †
Velocities achievable with thermonuclear shaped charges are impressive. Unlike molten jets produced by conventional shaped charges, which are limited to about 10 kilometers per second (about four times the velocities of the gases resulting from chemical explosions), thermonuclear shaped charges can in principle propel matter more than two orders of magnitude faster. Since fusion temperatures reach 100 million K, the detonation front of a thermonuclear explosive travels at speeds in excess of 1,000 kilometers per second. Using a convergent conical thermonuclear bum-wave with a suitable liner, one could theoretically create a jet traveling at 10,000 kilometers per second, or 3 percent of the speed of light.‡
Up to 5 percent of the energy of a small nuclear device reportedly can be converted into kinetic energy of a plate, presumably by employing some combination of explosive wave-shaping and "gun-barrel" design, and produce velocities of 100 kilometers per second and beam angles of 10-3 radians*. (The Chamita test of 17 August 1985, reportedly accelerated a 1-kilogram tungsten/molybdenum plate to 70 kilometers per second.† ) If one chooses to power 10 beams by a single explosion, engaging targets at a range of 2,000 kilometers with a kill energy of 40 kilojoules per pellet (one pellet per square meter), then such a device would require an 8-kiloton explosive and could tolerate random accelerations in the target, such as a maneuvering RV or satellite, of up to 0.5 g (5 m/s2).‡
The initial plate for each beam in this Casaba-like device would weigh only 32 kilograms but would have to fractionate into tiny particles to be an effective weapon—4 million evenly spaced pellets to produce one per square meter at 2,000 kilometers range. If such pellets could be created uniformly, which is highly questionable, then, at a velocity of 100 kilometers per second, they would each weigh 8 milligrams, carry 40 kilojoules of energy (the amount of energy in 10 grams of high explosive), and travel 2,000 kilometers in 20 seconds. Such hypervelocity fragments could easily punch through and vaporize a thin metal plate and could cause structural damage in large soft targets such as satellites and space-based sensors, but they would have little probability of striking a smaller RV, or even disabling it if a collision did occur.§
10-kiloton ASAT Nuclear yield 10 kilotons Number of beams 10 Mass per plate 32 kg Mechanism 50 kilojoules per pellet impact kill Assumptions 4 × 106 particles per beam
uniformly spaced 1 per m2
at 2,000 kilometers
Range 2,000 kilometers
‡ SPARTA, Inc., Workshop on Interactive Discrimination, 1986, unclassified. The velocity of 100 kilometers per second falls between the goal of 50 kilometers per second in the 1960s, only a fraction of which was achieved, and the 1,000 kilometers per second velocities possible with the plasma howitzer concept. The latter allegedly operates at 10 percent efficiency up to about 1 megaton, although with only about 10-2 radian beam directivity. Speeds of 1,000 kilometers per second are inevitably accompanied by ionization, and because charged particles curve in the earth's magnetic field, they would not be useful for long-range applications. Velocities up to 200 kilometers per second, however, are believed possible without vaporization.
§ See, for example, the detailed analysis of nuclear shaped-charges by R. Schall, "Detonation Physics," in P. Caldirola and H. Knoepfel, eds., Physics of High Energy Density, (New York: Academic Press, 1971), pp.230-244.
* Friedwardt Winterberg, The Physical Principles of Thermonuclear Explosive Devices, (New York: Fusion Energy Foundation, 1981), p.117. Conventional shaped charges have been applied to demolition, antisubmarine weapons, and advanced ordnance antitank munitions—all being further developed at Livermore—as well as for igniting the fission triggers in thermonuclear warheads. Cf. Energy & Technology Review, Lawrence Livermore National Lab, (June-July 1986), pp.I4-15.
† Devices based on this principle were pursued in the 1960s. Project Orion examined their potential for space propulsion. Casaba and "nuclear howitzer" were names for weapon applications.
‡ The detonation front shock-wave velocity is (32 kT/3M)½, where M is the average mass per ion of the thermonuclear fuel. Suitable geometries can propel matter at many times the detonation front velocity. Using cone geometry, the jet speed is v/sinθ, where v is the detonation-front velocity and θ is the cone's half-angle. A practical minimum for θ has reportedly been found to be θ ≈ 0.1. See Winterberg, Thermonuclear Physics, p.41,122
* SPARTA Workshop, 1986. This scaling presumably holds up to about 50 kilotons but, due to blackbody x-ray emission, decreases to about 1 percent for larger yields.
† Robert S. Norris, Thomas B. Cochran, and William M. Arkin, "Known U.S. Nuclear Tests July 1945 to 31 December 1987," Nuclear Weapons Databook Working Paper NWD 86-2, Natural Resources Defense Council, September 1988.
‡ The energy fluence per beam, E in J/m2, is approximately ηY/(NbR2θ2), where η is the fraction of overall yield transferred to the pellets, Y is the bomb yield (1 kiloton is equivalent to 4.2 × 1012 joules), Nb is the number of individual beams being driven by one bomb, R is the distance to the target, and θ is the individual full-beam divergence angle. A maneuvering target could accelerate out of the path of the beam if amR/vf2 > θ, where am is the magnitude of the target's average acceleration, vf is the particle velocity, and τ = R/vf is the particle fly-out time. (For comparison, the average acceleration of ICBMs is about 40 m/s2.) To deliver this energy requires a total mass per beam of Mb = 2E(Rθ)2/vf2.
§ For instance, even if an RV were coated with aluminum, a more volatile material than might be expected, the resulting vapor blow-off would only push a 350-kilogram RV off course by about 15 meters in 20 minutes of flight (about five times the amount if there were no ablation), thus failing to degrade significantly the ≈150 meter accuracy of a modern ICBM. Of course, if the collision caused the RV to tumble upon re-entry, the results would be less predictable
There are a few more crumbs of information in the report Fourth Generation Nuclear Weapons: Military effectiveness and collateral effects. They note that harnessing the x-rays from a nuclear blast is not only good for making deadly jets of atomic fire, but can also be used to pump x-ray lasers and energize EMP weapons. Not to mention accelerating projectiles to very high velocities by means of x-ray ablation, or by means of neutrons from the nuclear explosion (see report for cites on this).
So the report points out that the x-rays and neutrons can be used to drive or self-forge several projectiles or fragments (a "nuclear gun" or "nuclear grenade"). X-rays and neutrons can also be used to heat a working fluid and form hot jets (the above-described "nuclear shaped charge").
Thirdly, the forwards and backwards flux of x-rays and neutrons from a single nuclear device can be used to drive a multi-warhead weapon, e.g., a single weapon that fires a self-forging penetrator followed a few microseconds later by a jet of hot plasma. Talk about a one-two punch! The penetrator cracks the armor, allowing the hot jet to enter the target's interior and vaporize the soft chewy center.
The report also estimates, that for the use in military conflicts on the surface of the Earth, these weapons will probably be powered by nuclear devices in the 1 to 100 tons of TNT range (subkiloton range). Whether this will also hold true in the space environment is a question above my pay grade.
A propellant plate in the form of a pancake expands into a plume shaped like a cigar. And the reverse is true: a propellant plate in the form of a cigar/cylinder would expand into a plume shaped like a pancake. Specifically:
(Dplume / Lplume) = 1 / sqrt(Dplate / Lplate)
- Dplume = plume diameter (perpendicular to direction of travel)
- Lplume = plume length (in direction of travel)
- Dplate = plate diameter (perpendicular to direction of travel)
- Lplate = plate length (in direction of travel)
So if the plate had a diameter of 4 and a length of 1 (diameter to length ratio of 4/1 or 4), the plume would have a diameter to length ratio of 1/2, or a diameter of 1 and a length of 2. Equation is from Nuclear and Plasma Space Propulsion by M. Ragheb.
There is a great summary of the various issues of directed-energy weapons. Luke Campbell has an in depth analysis of laser weapons for science fiction on his website, don't miss the on-line calculator for laser weapon pulse parameters. Eric Rozier has another on-line calculator for laser weapons. Rick Robinson's analysis Space Warfare V: Laser Weapons is also quite good. You also might want to look over this 1979 NASA report on using nuclear reactions to directly power a laser beam. (Thanks to Andrew for suggesting this link.)
Before we get to all the boring equations, lets have some juicy details. Say that the habitat module of your combat starship gets penetrated by an enemy laser beam. What happens? Luke Campbell and Anthony Jackson have the straight dope:
Now for the dull equations.
"Laser" is an acronym for light amplification by stimulated emission of radiation. A laser beam can cut through steel while a flashlight cannot due to the fact that laser light is coherent. This means all the photons in the beam are "in step" with each other. By analogy, a unit of army troops marching in step can inadvertently cause a bridge to collapse, while the same number of people using the bridge in a random fashion have no effect. Laser light at amazingly low energies can still cause permanent blindness by destroying the retina.
Maximum range will be a few hundred thousand kilometers, otherwise almost every shot will miss due to light-speed lag. This is explained in more detail here.
Laser beams are not subject to the inverse-square law, but they are subject to diffraction. The radius of the beam will spread as the distance from the laser cannon increases.
RT = 0.305 * D * L / RL
- RT = beam radius at target (m)
- D = distance from laser emitter to target (m)
- L = wavelength of laser beam (m, see table below)
- RL = radius of laser lens or reflector (m)
|Far Infrared||1e-3 to 5e-5 m (1,000,000 to 50,000 nanometers)|
|Mid Infrared||5e-5 to 2.5e-6 m (50,000 to 2,500 nanometers)|
|Near Infrared||2.5e-6 to 7.5e-7 m (2,500 to 750 nanometers)|
|Red||7.5e-7 to 6.2e-7 m (750 to 620 nanometers)|
|Orange||6.2e-7 to 5.9e-7 m (620 to 590 nanometers)|
|Yellow||5.9e-7 to 5.7e-7 m (590 to 570 nanometers)|
|Green||5.7e-7 to 4.95e-7 m (570 to 495 nanometers)|
|Blue||4.95e-7 to 4.5e-7 m (495 to 450 nanometers)|
|Indigo||4.5e-7 to 4.2e-7 m (450 to 420 nanometers)|
|Violet||4.2e-7 to 3.8e-7 m (420 to 380 nanometers)|
|Ultraviolet A||4e-7 to 3.15e-7 m (400 to 315 nanometers)|
|Ultraviolet B||3.15e-7 to 2.8e-7 m (315 to 280 nanometers)|
|2.e-7 m (200 nanometers)|
|Ultraviolet C||2.8e-7 to 1e-7 m (280 to 100 nanometers)|
|Extreme Ultraviolet||1e-7 to 1e-8 m (100 to 10 nanometers)|
|1e-8 m (10 nanometers)|
|Soft X-Ray||1e-8 to 2e-10 m (10 to 2e-1 nanometers)|
|Hard X-Ray||2e-10 to 2e-11 m (2e-1 to 2e-2 nanometers)|
|Gamma-Ray||2e-11 to 1e-13 m (2e-2 to 1e-4 nanometer)|
|Cosmic-Ray||1e-13 to 1e-17 m (1e-4 to 1e-8 nanometers)|
Use horizontal scroll bar to pan the spectrum right and left.
Note that wavelengths shorter than 200 nanometers are absorbed by Terra's atmosphere (so they are sometimes called "Vacuum frequencies") and anything shorter than 10 nanometers is considered "ionizing radiation" (i.e., what the an average person on the street calls "atomic radiation"). Vacuum frequencies will be worthless for a laser in orbit attempting to shoot at ground targets protected by the atmosphere.
Sometimes wavelengths are expressed in Ångström units, 1.0 Ångström = 0.1 nanometer.
More to the point is the intensity of the beam at the target. First we calculate the beam divergence angle θ
θ = 0.61 L/RL
- θ = beam divergence angle (radians)
- L = wavelength of laser beam (m, see table above)
- RL = radius of laser lens or reflector (m)
Note that this is the theoretical minimum size of the divergence angle, it will be larger with inferior lasers.
Next we decide upon the beam power BP, then calculate the beam intensity at the target (the beam "brightness"):
BPT = BP/(π * (D * tan(θ/2))2)
- BPT = Beam intensity at target (megawatts per square meter)
- BP = Beam Power at laser aperture (megawatts)
- D = range to target (meters)
- θ = Theta = Beam divergence angle (radians or degrees depending on your Tan() function)
- π = Pi = 3.14159...
Kerr notes that if you already know the beam radius at target RT, the above equation simplifies to:
BPT = BP/(π * RT2)
There are a few notes on laser firing rates and power requirements here.
In the US military, the minimum threshold for a tactical weapons-grade laser is 100 kilowatts.
In the US military, the minimum threshold for a strategic weapons-grade laser is 1 megawatt.
When figuring the tangent, remember that θ from the beam divergence angle equation is in radians, not degrees (Divide radians by 0.0174532925 to get degrees).
What this means is if you are calculating the Beam Intensity equation with a pocket calculator or the Windows calculator program, the calculator is generally set to degrees and it expects you to punch in the angle in degrees before you hit the TAN key. If you punch in the angle in radians you will get the wrong answer.
If instead you are calculating the Beam Intensity equation with a computer spreadsheet or with a computer program you are writing from scratch, the TAN() function wants the input angle to be in radians.
For comparison purposes, the average beam intensity of sunlight on your skin is about 0.0014 MW/m2.
Please note that the amount of beam power deposited on the target is still BP, the intensity just measures how tightly it is focused. It's like using sunlight through a magnifying glass to burn a hole in a piece of paper (or to incinerate ants if you were one of those evil children). The amount of beam power hitting the paper does not change, it is always BP. But if the magnifying glass is so close that the spot size is large, the paper will just get warm. If you move the glass so the spot focuses down to a tiny dot, the intensity increases and the paper spot starts to burn.
Also note that a laser cannon might have lens/mirror which is larger than strictly required for the desired spot size, due to the fact that otherwise the mirror would melt. The larger the mirror, the more surface area to dilute the beam across, and the less the thermal stress on the mirror.
In the game Attack Vector: Tactical, the smallest laser lens is three meters in diameter, the frequency of various models of cannon is from 0.0000024 meters (2400 nanometer) to 0.0000002 meters (200 nanometer) and the efficiency varies from 20% down to 1.5%.
Note that laser cannon are notoriously inefficient. This means if your beam power is 5,000 megawatts (five gigawatts), and your cannon has an efficiency of 20%, the cannon is producing 25,000 megawatts, of which 5,000 is laser beam and 20,000 is waste heat! Ken Burnside describes weapon lasers as blast furnaces that produce coherent light as a byproduct. Rick Robinson describes them as an observatory telescope with a jet engine at the eyepiece. Laser cannons are going to need seriously huge heat radiators. And don't forget that heat radiators really cannot be armored.
The messy alternative is to use open-cycle cooling, where the lasing gas is vented to dispose of the waste heat. Not only does this endanger anything in the path of the exhaust, it limits the number of laser shots to the amount of gas carried.
But Troy Winchester Campbell brings to my attention a recent news item. In 2004, a company named Alfalight, Inc. demonstrated a 970 nm diode laser with a total power conversion efficiency of 65%. They are working in the DARPA Super High Efficiency Diode Sources program. The goal is 80% electrical-to-optical efficiency in the generation of light from stacks of semiconductor diode laser bars, and a power level of 500W/cm2 per diode bar operating continuously.
We = (1.0 - Ce)
- We = Waste power percentage
- Ce = Efficiency of Laser Cannon
WP = CP - BP
- WP = Waste Power (megawatts)
- CP = Laser Cannon total power (megawatts)
- BP = Beam Power at laser aperture (megawatts)
Getting rid of the waste heat from a laser is a problem if you don't dare extend your heat radiators because you are afraid they will be shot off. A strictly limited solution is storing the waste in a heat sink, like a huge block of ice. "Limited" because the ice can only absorb so much until it melts and starts to boil. If your radiator is retracted and your heat sink is full, firing your laser will do more damage to you than to the target.
Eric Rozier has this analysis of heat sink mass:
- >360 W and >70% Efficient GaAs-Based Diode Lasers
- SHEDs Funding Enables Power Conversion Efficiency up to 85% at High Powers from 975 nm Broad Area Diode Lasers
They reported some rather remarkable power conversion efficiencies, ones to bring a smile to any laser-weapon-smith's face.
|Diode cooled to||Efficiency|
Ken Burnside's masterful tabletop wargame Attack Vector: Tactical is fictional, but it was prepared with expert help from real live physicists and other scientists. More to the point, design choices were made to make an interesting game. Which means they would also be design choices that would make an interesting science fiction novel.
In the game, there are various types of lasers of increasingly shorter wavelengths, which due to the diffraction equation have increasingly longer range (by which I mean the spot intensity decreases more slowly). These lasers also have a decreasing level of efficiency of converting power into laser beam, I am unsure if this is due to a physical limit or it is an arbitrary thing used to balance the game.
|Short Range Laser||2400 nm||Near Infrared||20%|
|Close Range Laser||1600 nm||Near Infrared||16.6%|
|Medium Range Laser||1200 nm||Near Infrared||12.5%|
|Extended Range Laser||800 nm||Near Infrared||9%|
|Long Range Laser||600 nm||Orange||6%|
|Extreme Range Laser||400 nm||Indigo||3%|
|Ultraviolet Laser||200 nm||Ultraviolet||1.5%|
In addition, each laser type comes in seven sizes (with focusing mirrors ranging in size from 3 meters radius to 6 meters radius) and assorted energy requirements. The basic game only has short range and medium range lasers:
|3 m||3 GW||20%||0.6 GW||80 km||300 km|
|3.5 m||4.5 GW||20%||0.9 GW||100 km||440 km|
|4 m||6 GW||20%||1.2 GW||120 km||560 km|
|4.5 m||7.5 GW||20%||1.5 GW||140 km||740 km|
|5 m||9 GW||20%||1.8 GW||160 km||900 km|
|5.5 m||10.5 GW||20%||2.1 GW||160 km||1,040 km|
|6 m||12 GW||20%||2.4 GW||180 km||1,200 km|
|3 m||2 GW||12.5%||0.25 GW||180 km||400 km|
|3.5 m||3 GW||12.5%||0.375 GW||200 km||600 km|
|4 m||4 GW||12.5%||0.5 GW||240 km||800 km|
|4.5 m||5 GW||12.5%||0.625 GW||280 km||1,000 km|
|5 m||6 GW||12.5%||0.75 GW||300 km||1,200 km|
|5.5 m||7 GW||12.5%||0.875 GW||340 km||1,400 km|
|6 m||8 GW||12.5%||1 GW||360 km||1,800 km|
The mirror radius is the size of the lens or reflector (RL in the diffraction equation). The input energy is fed as power into the laser, after suffering the horrific effects of typical abysmal laser efficiency the laser beam emerges from the business end containing the aperture energy and leaps out to impale the hapless target. The gigawatts of waste heat are absorbed by the internal heat sink, because extending your heat radiator is just asking for it to get shot off.
The effective range and maximum range are not directly applicable, they are artifacts of the beam damage model used by the Attack Vector: Tactical game. But they do provide some basis of comparison. In the game each "damage point" inflicted upon an enemy ship represents 50 megajoules in an eight centimeter diameter circle inflicted in 1/100th of a second. The effective range is the farthest range that the laser can inflict its full damage. The maximum range is the farthest range that the laser can inflict at least one point of damage. This is all required because Attack Vector is not a computer game, it is an incredible paper and cardboard wargame where all the scientific accuracy and scary mathematics are handled painlessly with cunning player aides.
I would hazard a guess this is the reason for the values chosen for input energy and ranges, to calibrate each laser to 50 megajoules in an eight centimeter spot size.
For our purposes, it might make more sense to use the Brightness equation. Then you can assign hardness values for the target's armor.
|Short Range Laser 2|
|80 km||7.8 cm||1.55×109 J/m2|
|100 km||9.8 cm||9.9×108 J/m2|
|140 km||13.7 cm||5.05×108 J/m2|
|180 km||17.6 cm||3.06×108 J/m2|
|220 km||21.5 cm||2.05×108 J/m2|
|300 km||29.3 cm||1.1×108 J/m2|
|Short Range Laser 8|
|180 km||8.8 cm||3.06×108 J/m2|
|200 km||9.8 cm||2.48×108 J/m2|
|240 km||11.7 cm||1.72×108 J/m2|
|300 km||14.6 cm||1.10×108 J/m2|
|380 km||18.5 cm||6.86×107 J/m2|
|520 km||25.4 cm||3.66×107 J/m2|
|840 km||41.0 cm||1.40×107 J/m2|
|1,200 km||58.6 cm||6.88×106 J/m2|
|Medium Range Laser 2|
|180 km||8.8 cm||5.09×108 J/m2|
|240 km||11.7 cm||2.86×108 J/m2|
|300 km||14.6 cm||1.83×108 J/m2|
|400 km||19.5 cm||1.03×108 J/m2|
|Medium Range Laser 8|
|360 km||8.8 cm||1.27×108 J/m2|
|420 km||10.2 cm||9.35×107 J/m2|
|500 km||12.2 cm||6.60×107 J/m2|
|620 km||15.1 cm||4.29×107 J/m2|
|860 km||21.0 cm||2.23×107 J/m2|
|1,220 km||29.8 cm||1.11×107 J/m2|
|1,600 km||39.0 cm||6.45×106 J/m2|
A more scientifically plausible but much less dramatic laser weapon is the combat mirror. In this scheme, the spacecraft doesn't have a laser, just a large parabolic mirror. The laser is several million miles away, on a freaking huge solar power array orbiting your home planet. You angle the mirror so it will do a bank shot from the distant laser off the mirror and into your target, then radio the laser station to let'er rip. About fifteen minutes later the diffuse laser beam arrives, and your parabolic mirror focuses it down to a megaJoule pinpoint on your target.
The combination of a powersat and a combat mirror is called a Powersat Weapon.
The advantage is that the spacecraft does not have to lug around the laser, the power supply, the heat radiators, and other massive elements of the laser weapon. The spacecraft can have a higher acceleration or increased payload. The beam can also be of a power level associated with laser equipment that is not considered "portable by spacecraft", if the laser generator is a few miles in diameter your spacecraft could care less.
Disadvantages include the lag time between ordering a shot and its arrival, and the vulnerable nature of the combat mirror (generally little more than a large Mylar balloon).
Now I know all you older science fiction fans still remember Johnny Quest and The Mystery Of The Lizard Men where Dr. Quest demonstrates that one can defend oneself against a weapon-grade laser beam with a dressing-room mirror. Sorry, it doesn't work that way in reality. No mirror is 100% efficient, and at these power levels, the fraction that leaks through is more than enough to vaporize the mirror armor. The same goes for "ablative armor." One zap and the impact point is abruptly as bare of armor as a baby's behind.
Inside a laser cannon, a relatively diffuse laser beam is generated. This prevents the beam from vaporizing the cannon's internal optics. At the business end, a parabolic mirror focuses the diffuse beam down to the aforementioned megaJoule pinpoint on the hapless target.
And don't think that lasers will automatically hit their targets either. There are many factors that can cause a miss. Off the top of his head, Dr. John Schilling mentions:
- Uncertain target location due to finite sensor resolution
- Uncertain target motion due to sensor glint or shape effects
- Sensor boresight error due to finite manufacturing tolerances
- Target motion during sensor integration time
- Analog-to-digital conversion errors of sensor data
- Software errors in fire control system
- Hardware errors in fire control system
- Digital-to-analog conversion errors of gunlaying servo commands
- Target motion during weapon aiming time
- Weapon boresight error due to finite manufacturing tolerances
- Weapon structural distortion due to inertial effects of rapid slew
- Weapon structural distortion due to external or internal vibration
- Weapon structural distortion due to thermal expansion during firing
And we haven't even begun to include target countermeasures...
Kerr points out that the above list is fine, but outdated (list was compiled in the 1990s). Some factors ignore the capability of modern computing. "Modern" being defined as "circa 2018".
What about a laser turret? It can be so inconvenient to have to move the entire ship in order to aim the blasted beam. As it turns out, the US Air Force has a solution created for their Airborne Laser project.
I hear you ask "but why doesn't the beam slice up the inside of the turret?" The key is power density.
For instance, a naughty little boy will find that sunlight does not do much to his skin except warm it up a bit. However, if you whip out a magnifying glass you can focus the sunlight to a white-hot pinpoint that will easily incinerate ants. The magnifying glass increases the power density of the sunlight. So inside the turret, the weapon beam is something like 20 centimeters in diameter which means a power density too low to fry the internal mirrors. At the end, the beam expander mirror evenly shines the laser beam over the primary mirror. That mirror then acts like the magnifying glass in the hands of the anticidal little boy, focusing the diffuse laser beam down to an incinerating pin-point on the hapless target.
Isaac Kuo points out that another factor keeping the laser from chopping up the turret is that the internal mirrors are dielectric mirrors. Those babies can be up to 99.999% reflective. Meanwhile if target has conventional mirror plating it will only be 95% reflective, absorbing 5,000 times as much laser energy. Dielectric mirrors would be difficult if not impossible to manufacture in pieces large enough to cover a missile or spacecraft.
The actual US Air Force Air Borne Laser is a megawatt class chemical oxygen iodide laser (COIL) operating at a frequency of 1.315 microns or 1.315e-6 meters (near infrared). With a 1.5 meter mirror, this gives a divergence angle of 1.07e-6 radians. If my slide rule is correct, this means at a range of one kilometer it will have a spot size of one millimeter radius, and a beam brightness of about 300,000 megawatts per square meter. However, I've seen suggestions that the actual spot size is more like several centimeters, demonstrating the room for improvement.
The US Air Force is understandably reluctant to give any figures on the performance of the Air Borne Laser. The best figures I could find suggest that it could destroy a flimsy unarmored hypergolic fueled missile (with fuel still in the tanks) by expending a three to five second burst up to a range of about 370 kilometers. Three to five seconds is an awfully long time to keep the beam focused on the same spot on a streaking missile. The dwell time will have to be longer if the missile is armored or if it uses solid fuel or other inherently stable fuel.
The giant primary mirror will contain adaptive optics (i.e., it will be a "rubber mirror"). This will allow the mirror to change its focus to accommodate the range to target. In diagram "a" to the right, the flexible mirror is laid over a slab of piezoelectric material that changes shape as power is applied to the electrodes. In diagram "b" individual actuators are used. The image on the right is a 19-actuator deformable mirror built by Rockwell International. The mirror is only 40 cm in diameter. The actuator density is about 150 actuators per square meter, so the 1.5 meter ABL mirror would require about 270. (surface area of a circular 1.5 meter mirror is about 1.8 square meters, times 150 actuators per square meters give 270 total actuators)
Rick Robinson has a more serious concern. You know how it is a very bad idea to look through a telescope at the Sun? Well, for the same reason it is bad to unshutter your laser cannon optics and point them at a hostile ship which might zap you with its laser. Your cannon's optics would funnel their beam right down into the delicate interior of your cannon. The optics would also concentrate their beam to 10x or 100x the intensity. This means that if your lasers are unshuttered and your opponents are shuttered, you have the drop on them. The instant you detect their shutters trembling you give them a zap. Their shutters will still be opening when your bolt scrags their laser.
However, Ken Burnside says:
One solution is to aim the laser by using a flotilla of external combat mirrors. The laser cannon shoots a diffuse beam that the combat mirror focuses on the target. If the enemy returns fire the combat mirror will defocus the hostile beam.
Anthony Jackson has another messy solution. One can design a laser cannon without a mirror or lens, if one uses a phased array. Currently we can create phased arrays for microwaves and radars,
but have no idea how to do it with visible light. It would take a major technological break-through, but it is not actually forbidden by the laws of physics. Kerr points out that as of 2018 there are indeed optical phased arrays, depending on how elastic is your defintion of "phased array." But there do exist things resembling an optical analog to a microwave phased array.
Another nifty effect of phased array emitters is that they're flat and can fire at any angle (range will suffer at extreme angles), without requiring a turret assembly.
Dr. Yo came to the horrified realization that the logical acronym for PHased Array laSER was ... aiieee!
Eric Henry prefers that particular name for Free-electron laSER.
A special type of laser is the bomb-pumped laser. This is generally found as a missile warhead. A "submunition" is a warhead that is a single-shot bomb-pumped gamma-ray laser. The original concept was developed by Edward Teller under the name "Excalibur." Teller and Excalibur were later discredited, but the basic idea wasn't.
Here's the problem: the lasing medium in a laser has to be "pumped" or flooded with the same frequency that the laser emits. This isn't a problem with infrared or visible light, but sadly there are not many good sources of x-rays and gamma-rays. About the only good source is a detonating nuclear device, which has the distressing side-effect of vaporizing the laser. So the idea is to make a laser that can frantically manufacture one good x-ray zap in the few microseconds before it is destroyed by the bomb blast. This is the reason it is "one-shot."
(Yes, in theory, hafnium-178m2 is also a good source of gamma rays, but it has problems.)
The Excalibur units had about one hundred x-ray laser rods mounted on a nuclear device. When the hordes of evil Soviet nuclear missiles climbed into view, all one hundred lasers would lock on to different targets, then the bomb was triggered. John Schilling said that due to inefficiency each laser would emit a pulse of only 5×106 Joules, but they'd have a range of up to one hundred kilometers. Unfortunately Dr. Schilling didn't mention whiat size bomb he was basing his estimate on. The unclassified literature about Excalibur is vague, only saying the pumping nuclear device will have a yield that is smaller than your average nuclear warhead. Which could mean almost anything. My guess is under the size of the Hiroshima bomb: 15 to 20 kiloton or so.
According to Directed Energy Missile Defense in Space, a one megaton (1,000 kiloton) nuclear device releases about four billion megajoules (4.184×1015 J), but only a few percent of this will end up in the x-ray laser beams, due to the inherent inefficiency. Call it a total of about 100 million megajoules (1.0×1014 J) of x-ray laser (efficiency of 2.5%). Unfortunately they do not specify how many laser rods they are assuming in their analysis. Assuming 50 laser rods, then each rod would have a beam of 2.0×1012 joules.
Bomb-pumped lasers do not use lenses or mirrors (because there ain't no such thing as an x-ray mirror). Brian Smith-Winsemius gently pointed out to me that I do not know what I am talking about, since he works with x-ray mirrors every day.
According to The Star Wars Controversy: An "International Security" Reader (edited by Steven E. Miller and Stephen Van Evera, 1986), in order to calculate the beam divergence angle of a bomb-pumped laser, use the following:
θ = 2 * (w / l)
- θ = beam divergence angle (radians)
- w = width of lasing rod (meters)
- l = length of lasing rod (meters)
A practical maximum length of a single laser rod is no more than five meters. Making the rod thinner decreases the divergence angle, but this is limited by diffraction, just like in more conventional lasers. Make the rod too narrow and diffraction actually makes the divergence angle larger. The width limit is:
1.22*L/l = 2*w/l
- L = wavelength of laser beam (meters)
- w = width of lasing rod (meters)
- l = length of lasing rod (meters)
For an x-ray laser rod of one nanometer wavelength and rod length of five meters, the optimum rod width is 0.06 millimeters. The beam divergence angle will be 20 microradians.
This relatively huge divergence further degrades the laser performance. Our 100 million megajoules are now diluted into a 20 microradian cone. If all of this energy came from a single laser rod, on a target at ten megameters (10,000 km), it would deposit about 300 kJ/cm2 over a spot 200 meters wide. Divide the energy by the number of laser rods in the Excalibur, probably around 50. That would be 6 kJ/cm2 over a spot 200 meters wide. Which isn't quite enough if you are targeting enemy ICBMs with a hardness of 10 kJ/cm2.
Note the consequence of the absence of x-ray mirrors: each laser rod will fire a laser beam out both ends of the rod. The majority of the beam will exit from the end of the rod farther from the nuclear blast, however (i.e., most of the beam will travel in the same direction as the x-rays from the blast). If the rod is perpendicular to the blast, equal beams will emerge from both ends.
A bigger draw-back is the fact that while a laser cannon requires a targeting system, Excalibur requires a targeting system for every single laser rod. Such systems are not cheap.
A more minor problem is "bomb-jiggle." Many types of fission devices use conventional explosives to squeeze the core into a critical mass. While the nuclear blast is far too swift to jog the laser rods off their targets, the conventional explosives are not. They might cause the rods to miss-aim, so when the nuclear blast triggers the x-rays, the beams are off-target. This might be avoided by using a laser-initiated fusion device.
There is a variant on the bomb-pumped laser in Larry Niven and Jerry Pournelle's classic novel Footfall, which is arguably the best "alien invasion" novel ever written. They noticed that bomb-pumped lasers is a concept that merges seamlessly with Orion drive spacecraft. In this case the submunitions do not need a bomb. They are thrown below the pusher plate, they take aim at the enemy, then the next propulsion bomb pushes the ship and simultaneously pumps the submunitions. You can find more detalis about the spacecraft here.
Andrew Presby found an interesting document entitled "On The Feasibility of an Impulsively Driven Gamma-ray Laser" (1979) at the Federation of American Scientists website. Please note this is for gamma-ray lasers, not x-ray lasers like the discussion above. That is probably why the x-ray laser rods had a maximum length of 5 meters while these graser rods have a length of 0.05 meters.
The document suggest using Tantalum-180 dissolved in Lithium-7 for the lasing rods, about one part in four thousand. Alternatives are Cobalt-109 and Molybdenum-99.
The design uses the Mössbauer effect, the recoil-free emission and absorption of gamma ray photons by atoms bound in a solid form. This is important. Laser light is coherent light, where all the photons are in perfect lock-step. The trouble with x-ray and gamma-ray emission is that they are powerful enough to make the excited atom recoil in reaction. This throws off the synchronization, so that the beam is not coherent, and thus not a laser beam. The Mössbauer effect prevents this by locking the lasing atoms in a matrix of anchor atoms, thus dealing with the recoil.
It was estimated that the grasing transition energy densities of tens of kilojoules per cubic centimeter. This means a one megajoule graser could fit in a breadbox, sans bomb of course. A laser beam composed of gamma rays impacting on, say, an incoming Soviet nuclear warhead would produce a flood of neutrons generated by gamma-ray/neutron recations, burning a nice hole. And the high-energy Compton-scattered electrons would create an enormous EMP, frying the warhead's electronics.
The document describes a test for the concept. A cylindrical package five centimeters long by five centimeters in radius would be packed with 20,000 lasing needles 25 µ diameter by 5 centimeters long (I assume that µ means micrometre or micron). The needles would be composed of Lithium-7 with 0.025% Tantalum-180. The needles would be aligned in parallel with 100 µ spacing between their axes, and arranges so that the centers of no three needles would be in a straight line.
The rod assembly package would be insulated from the bomb by insulating and moderating material (from the bomb: 15 cm of space, 7 cm of lead, 20 cm of heavy water, 5 cm to the center of the rod assembly). This will ensure that only the proper radiation strikes the assembly, and to allow the assembly to survive for the few microseconds required to create the graser beam. The lead  attenuates the gamma radiation from the bomb,  slows the debris motion,  and blocks the x-rays that would destroy the package. The heavy water moderates the neutron output.
The beam divergence is determined by the aspect ratio, which for this package is on the order of 0.5 milliradian. This is above the diffraction limit (about 8 milliradian).
In the proposed test, a one kiloton device would be detonated to pump the graser. The five centimeter needles have a calculated gain of 2 x 104. About 9% of the nuclear energy in the grasing transition will actually escape the needles, due to the short pathlength for 6.3 keV gamma rays. The energy available is 7.3 x 1016 MeV cm-3, which means the graser beam will be a piddling little 2.6 kilojoules. Keep in mind that is was intended as a test rig, not a functioning weapon.
Laser guru Luke Campbell thinks it not impossible to make an x-ray laser which does NOT require a nuclear device to pump it. In theory a Free Electron laser can produce any wavelength. It is possible approximate an x-ray lens by having the rays make glancing blows off dense materials.
Bottom line is an x-ray laser is technologically very challenging, but if you manage to make one you have an Unstoppable Death Ray of Stupendous Range.
However, he goes on to note that in order to boost electrons to the velocities required for an X-ray free electron laser, you will need an acceleration ring approximately one freaking kilometer in diameter. So this X-ray laser would only be suitable for exceedingly huge warships, orbital fortresses, and Death Stars.
Since the time he wrote the above, Luke Campbell has reconsidered the use of lead grazing incidence mirror. Now he favors using diffraction.
Particle beam weapons use a similar principle to the one being utilized in
the computer monitor aimed at your face right now (unless you are one of those lucky people who has a flat-panel monitor) those ancient CRT monitors and TV screens they used to use in olden times. Electrons or ions are accelerated by charged grids into a beam. They work much better in the vacuum of space than in an atmosphere, which is why there is no air inside the cathode-ray tube of your ancient monitors. Laboratory scale electron beams can have efficiencies up to 90%, but scaling up the power into a weapon-grade beam will make that efficiency plummet.
Particle beams have a advantage over lasers in that the particles have more impact damage on the target than the massless photons of a laser beam (well photons have no rest mass at least. The light pressure exerted by a laser beam pales into insignificance compared to the impact of a particle beam). There is better penetration as well, with the penetration climbing rapidly as the energy per particle increases. Particle beams deposit their energy up to several centimeters into the target, compared to the surface deposit done by lasers.
They have a disadvantage of possessing a much shorter range. The beam tends to expand the further it travels, reducing the damage density ("electrostatic bloom"). This is because all the particles in the beam have the same charge, and like charges repel, remember? Self-repulsion severely limits the density of the beam, and thus its power.
They also can be deflected by charged fields, unlike lasers. Whether the fields are natural ones around planets or artificial defense fields around spacecraft, the same fields used to accelerate the particles in the weapon can be used to fend them off.
Particle beams can be generated by linear accelerators or circular accelerators (AKA "cyclotrons"). Circular accelerators are more compact, but require massive magnets to bend the beam into a circle. This is a liability on a spacecraft where every gram counts. Linear accelerators do not require such magnets, but they can be inconveniently long.
Another challenge of producing a viable particle beam weapon is that the accelerator requires both high current and high energy. We are talking current on the order of thousand of amperes and energy on the order of gigawatts. About 1e11 to 1e12 watts over a period of 100 nanoseconds. The short time scale probably means quick power from a slowly charged capacitor bank, similar to the arrangement in a typical camera strobe. You want a very thin beam with a very high particle density, the thinner the better and the more particles the better. The faster the particles move the more particles will be in the beam over a given time, i.e., the higher the "beam particle current" and the faster this current flows, the more energy the beam will contain.
The power density is such that the accelerator would probably burn out if operated in continuous mode. It will probably be used in nanosecond pulses.
Protons are 1836 times more massive than electrons, so proton beams expand only 1/1836 times as fast as electron beams and are 1836 times harder to deflect with charged fields. Of course they also require 1836 times as much power to accelerate the protons to the same velocity as the electrons.
It is possible to neutralize the beam by adding electrons to accelerated nuclei, or subtracting electrons from negative ions. While this will eliminate electrostatic bloom, the neutralization process will also defocus the beam (to a lesser extent). As a rough guess, maximum particle beam range will be about the same as a very short-ranged laser cannon.
For a neutral particle beam, the divergence angle is influenced by: traverse motion induced by accelerator, focusing magnets operating differently on particles of different energies, and glancing collision occurring during the neutralization process. The first two can be controlled, the last cannot (due to Heisenberg's Uncertainty Principle). The divergence angle will be from one to four microradians, compared to 0.2 for conventional lasers and 20 for bomb-pumped lasers.
The source of the particles for the beam come from sophisticated gadgets with weird names like "autoresonantors", "inertial homopolar generators", and "Dundnikov surface plasma negative ion sources".
Dr. Geoffrey A. Landis had this to say:
I'm not sure I have this correct, but to put this in useful form:
θ = (5e-9 * Sqrt[BT]) * Sqrt[80/Bn]
- BT = beam temperature (Kelvin)
- Bn = atomic number of element composing the beam (Uranium = 92, Mercury = 80, Zirconium = 30, Calcium = 20, Neon = 10, Hydrogen = 1)
- θ = Beam divergence angle (radians)
RT = Tan(θ) * D
- D = distance from particle beam emitter to target (m)
- RT = radius of beam at target (m)
...making sure that Tan() is set to handle radians, not degrees. Or as one big ugly unified equation:
RT = Tan((5e-9 * Sqrt[BT]) * Sqrt[80/Bn]) * D
...again making sure that Tan() is set to handle radians, not degrees. I must stress I derived this equation myself, so there is a chance it is incorrect. Use at your own risk.
(ed note: this is in the context of the tabletop wargame Attack Vector: Tactical. One hexagon is 20 kilometers. Each armor layer is 5 g/cm2 of carbon.)
Building a practical particle beam that behaves in a gun-like manner at any plausible level of technology is a formidable challenge; a 1 GeV neutral hydrogen beam has a minimum theoretical beam spread of around 1 microradian, or 8 cm at a 4 hex range (80 km). Reaching this limit seems unlikely, so using a standard damage model for particle beams seems unlikely.
However, particles at energies in excess of 1 GeV/nucleon have quite excessive penetration; 1/e distance for initial penetration are on the order of 70 g/cm2 in typical shielding materials, and if you count in the effects of cascade radiation can climb over 100 g/cm2, which means you need 20 layers of AV armor to get a 1/e reduction. This allows a particle beam to kill ships without actually piercing armor.
Hardened electronics tends to have severe problems at 100-1000 grays, or 2.5 to 25 megajoules per hullspace average dose; 1 damage point to a hullspace will kill it pretty reliably. This makes a PAW a bit more lethal, per unit energy, than conventional energy weapons, but it only damages a fairly limited class of targets. Note that 5 grays is likely lethal to a human, and incapacitation in combat-relevant time takes 40+ grays. A beam intensity of 1 megajoule per square meter, with a penetration of 100 g/cm2, results in 1000 grays to surface components.
While photonic equipment is more resistant than standard electronics to transient effects caused by radiation, radiation also directly physically damages components, and there's no really good way to make them tougher other than making them bigger (and thus slower) or adding lots of backups.
The incapacitation mechanic, for a PAW, is thus chosen as having the weapon damage X components, requiring a save for each component at a specified difficulty; it then cascades down to the next layer at some reduction in power (on average, 1/10 the dose per 10 meters of length; a 10m ship gives -1 in the first region, -3 in the second, -5 in the third). X depends on the beam width; for a beam that hits a 10 square meter area, X is 1.
For simplicity in handling shielding effects of internal components, we define a 'shielding depth' for the ship, equal to 1/8 of the relevant dimension, in meters. We also assume that the components in the hull layer are behind half a shielding depth.
Particle Beam Rules
1) Shielding and Shielding Depth
To determine a ship's shielding, add 1/8 of its armor and 1/32 of its hull dimension from the relevant direction, and drop fractions; thus, a Rafik has a shielding factor of 5/8 + 33/32 or 1, from more or less any side; a Wasp has a shielding factor of 12/8 + 84/32 or 4 from the front, 1/8 + 17/32 or 0 from the side. This is a bit of a simplification, but works tolerably well unless the ship is very large. Two points of shielding depth roughly halve dose.
To determine a ship's shielding depth, simply divide relevant dimension by 8. In the above examples, the Rafik uses 4 in all directions, the Wasp uses 10 from the front, 2 from the sides.
2) PAW Effects
A PAW hits one or more surface areas. The weapon table tells you how many surface areas it hits, and the power of the attack at each area. If more areas are hit than the actual surface of the ship, any excess is lost (if it's more than the area of one region, spread to another region). To determine the actual number of components in the first region damaged, multiply the area hit by shielding depth, and divide by 5. Then, reduce power by the ship's shielding. The result is the difficulty of component saves. Certain components are more or less vulnerable, see below. If it seems useful, you may spread; each doubling in area hit reduces damage by 2.
Once you've damaged surface components, you get to cascade. Subtract the shielding depth of the ship from the weapon power, and proceed to damage the core, hitting it the same number of times as you hit the surface. Then, subtract the shielding depth again and damage the core a second time; finally, subtract the shielding depth a third time and damage the far side of the ship. Note that damage below 0 does matter on certain vulnerable components.
If you wish to add some complexity, the core is actually fairly small; if you hit more than 1/5 of the exposed surface, the remainder must be spread to the sides of the ship instead of the core.
3) PAW weapons
A standard THS weapon delivers 80 MJ per 15 meters length per 16 seconds. This will deliver 8,000 grays to the surface of one location, which is pretty much an autokill unless the location has a lot of shielding; the save is set to 10 on 1 hex. The following table gives the effects of a PAW at varying ranges (minimum area is 4, to reduce jitter)
Hexes 5 7 10 14 20 28 40 56 PAW-30m 2@10 4@8 8@6 16@4 32@2 64@0 PAW-45m 2@11 3@10 6@4 12@6 24@4 48@2 96@0 PAW-60m 2@12 2@12 4@10 8@8 16@6 32@4 64@2 125@0 PAW-75m 2@12 2@12 3@11 6@9 12@7 24@5 44@3 96@1 PAW-90m 2@13 2@13 3@12 6@10 12@4 24@6 48@4 96@2 PAW-105m 2@13 2@13 2@13 4@11 8@9 16@7 32@5 64@3 PAW-120m 2@14 2@14 2@14 4@12 8@10 16@8 32@6 64@4
4) Component Damage
All Drive, Electronics, Reactor, and Weapons locations can be damaged by PAWs; damage control is assumed effective, though if a damage control team is in an area when it's hit by a PAW, the damage control team must save. Other mechanical components may also be vulnerable.
The Bridge location can be damaged by a PAW and suffers a +6 difficulty because it requires sophisticated computers. A light storm shelter reduces difficulty by 12, a heavy by 18.
Other locations will generally have noncritical but annoying damage to environment control, switches, loaders, and the like. Some sorts of cargo will be damaged by radiation.
Personnel, in any location, can be disabled and suffer a +6 difficulty to avoid immediate incapacitation (3200 rads = +0), and a +15 difficulty to survive long-term (140 rads = +0). Unless there is a reason for them to be elsewhere, personnel are on the bridge. The main reason for being off the bridge is damage control, though a surprised ship might have people in quarters.
Cybershells are disabled disabled like personnel; cybershells may use hardened computers if desired. Damage control teams are normally run by hardened cybershells. Radiation effects are a combination of physical damage to switches and transient effects.
While particles cannot travel at the speed of light, they can get close enough that it is hard to tell the difference. Unfortunately, particle beams do obey the inverse-square law.
A beam of neutrons does not suffer from electrostatic bloom since they have no charge, nor could they be deflected by charged fields. However, this also means it is difficult to accelerate the neutrons in the first place (and if you discovered a new way to do it, chances are it too could be used as a defense). Without electrostatic bloom neutron beams are only limited by "thermal bloom". Brett Evill says this will give a neutron beam an effective range of 10,000 km, but he doesn't mention the details of this estimate. Nelson Navarro is of the opinion that a science fictional heavy neutron beam could be produced by a science fictionally efficient method of breaking up deuterium nuclei.
Another problem is one shared by ion drives, the "space charge." If you keep shooting off electron beams you will build up a strong positive charge on your ship. At some point the charge will become strong enough to bend the beam. And the moment your ship tries to dock with another it will be similar to scuffing your shoes on the rug and touching the doorknob. Except instead of a tiny spark it will be a huge arc that will blow all your circuit breakers and spot-weld the ships together.
Don't try to neutralize the charge by firing off positively charged proton beams. John Schilling warns that space is filled with an extremely low-density, but conductive, plasma. You try to eject charge from your ship, and the ship itself becomes part of a current loop. Not only is the current flowing through the hull (or trying to) likely to cause problems, but all those electrons or protons being sucked in produce X-rays on hitting the hull.
Powering up a particle beam to the point where it can cut armor is difficult. But there is another option: death by "Bremsstrahlung".
Consider the x-ray tube in your dentist's office. It is basically an electron beam striking a metal target. Now, what if the electron beam was a particle beam weapon and the metal target was the hull of the enemy spacecraft? A hypothetical observer on the far side of the ship could make a nifty x-ray photo revealing the skeletons of crew members dying in agony of radiation poisoning.
Please note that Bremsstrahlung only occurs with charged particle beams, it doesn't happen with beams of neutrons.
The particle beam weapons postulated for Star Wars missile defense were to disable missiles by damaging the sensitive electronics via radiation, not by carving the missiles into pieces. An APS directed-energy weapons study written for the Strategic Defense Initiative estimated that in order to disable an ICBM, a particle beam had power requirements between 100 and 1,000 megawatts, depending on range and retargeting rate.
Anthony Jackson says if you crank up your particles to a few GeV per nucleon they will be in the soft end of the spectrum of primary cosmic rays. Each particle will be highly penetrating, and you no longer need to actually focus the beam. Just apply a couple megajoules per square meter and everything dies (unless it's behind a huge amount of shielding or is basically operating at pre-microchip levels of automation. Neither is an option for a surface mounted weapon turret.). We are talking about a surface radiation level of over 500 grays. Such a cosmic ray beam would require armor with a TVT (for radiation purposes) peaking at 200-300 g/cm2.
Also note that if the particles are moving a relativistic velocities higher than, say, 90% c, you will have about the same energy release if the particles are matter or antimatter. In other words, it is pointless for relativistic particle beam weapons to use antimatter, with all the added complexity due to antimatter manufacture and storage.
Ships that expect to be fired upon by particle beam weapons would be well advised to add a layer of paraffin or other particle radiation armor on the outside of their metal hull, to prevent the beam from generating Bremsstrahlung with the hull.
One of the more exotic weapon proposals that came out of the Strategic Defense Initiative was orbital neutral particle beam weapons.
As previously mentioned, charged particle beams suffer from electrostatic bloom, which drastically limits the range. It is possible to neutralize the beam by adding electrons to accelerated nuclei, or subtracting electrons from negative ions. This creates a neutral particle beam.
While this will eliminate electrostatic bloom, the neutralization process will also defocus the beam (to a lesser extent). As a rough guess, maximum particle beam range will be about the same as a very short-ranged laser cannon.
For a neutral particle beam, the divergence angle is influenced by: traverse motion induced by accelerator, focusing magnets operating differently on particles of different energies, and glancing collision occurring during the neutralization process. The first two can be controlled, the last cannot (due to Heisenberg's Uncertainty Principle). The divergence angle will be from one to four microradians, compared to 0.2 for conventional lasers and 20 for bomb-pumped lasers.
Most of the images below are of very poor quality, and many of the details are still classified. The scale of these weapons is unknown, but they are huge. Some are "folded", with a U-shaped section. This is a desperate attempt to cut the length in half. Scott Lowther guesstimates the entire weapon is on the order of 100 meters long or so.
Kinetic Kill weapons are unguided missiles that have no warheads. Bullets and artillery shells in other words. They can be a simple as a bucket of rocks dumped in the ship's wake. Since they are basically solid lumps of matter they are much cheaper than a missile. They cannot be jammed, but by the same token they do not home in on the target. The damage they do depends upon the relative velocity between the kinetic lump and the target ship.
A sort of hybrid would be a missile which explodes into a cloud of deadly shrapnel that the enemy ship plows through, screaming.
In case it is not obvious, if the weapon projectile has no rocket engine strapped to it (as do missiles), the weapon is not recoiless. Cannons, coil guns, and rail guns all have recoil due to Newton's third law. The weapon will kick your warship like a mule every time you fire it, just like when a soldier fires a heavy calibre firearm.
In fact, the propulsion system know as a mass driver is basically a coil gun optimized as a propulsion system rather than optimzed as a weapon. This means that kinetic weapons can be used as crude propulsion systems in an emergency.
Kinetic kill weapons give you the tactical option to create terrain in the void of space in order to herd your opponent. Find the trajectories you want to deny to your opponent and fill them with cheap kinetic energy projectiles, thus forcing them to use trajectories advantageous to you.
The damage inflicted can be calculated by the equation below. The same equations will also apply when one ship rams another, of course with added damage from exploding missile magazines, unstable fuel supplies, and out of control power plants. In a ramming, you will have to calculate the equation twice, once to figure damage inflicted on the rammed ship, the second time to calculate damage inflicted on the ramming ship.
To get some idea of the amount of damage represented by a given amount of Joules, refer to the Boom Table.
Eric Rozier has an on-line calculator for kinetic kill weapons.
Please note that it is relative velocity that is important. If your ship is quote "standing still" unquote, and if the enemy is tearing past you at seven kilometers per second, and if you leisurely toss an empty beer can into the path of the enemy, the relative velocity will be 7 km/s and the beer can will do severe damage to the enemy ship (if the beer can masses 0.1 kilogram, it will do 2,450,000 Joules of damage). So even though the beer can has practically zero velocity from your standpoint, from the standpoint of the soon-to-be-noseless ship the can has the velocity of a bat out of you-know-where.
Ke = 0.5 * M * V2
- Ke = kinetic energy (Joules)
- M = mass of projectile (kg)
- V = velocity of projectile relative to target (m/s)
Wp = Ke * (1 / We)
- Wp = power required by weapon to fire one projectile (Joules)
- Ke = kinetic energy of one weapon projectile (Joules)
- We = efficiency of the weapon (0.0 = 0%, 1.0 = 100%)
Rick Robinson's First Law of Space Combat states that:
In other words there are 4,500,000 joules in one kilogram of TNT (3,0002m/s * 0.5 = 4.5e6). This means a stupid bolder traveling at 2,000 km/sec relative has about 400 kilo-Ricks of damage (i.e., each ton of rock will do the damage equivalent of 2e12 / 4.5e6 = 400 kilotons of TNT or about 20 Hiroshima bombs combined).
Ricks = (0.5 * V2) / 4.5e6
- V = velocity of projectile relative to target (m/s)
- Ricks = kilograms of TNT worth of kinetic energy per kilogram of projectile
So a projectile moving at 200 km/sec (20,000 m/s) would have about 4,000 Ricks (4 kilo-Ricks) of damage, approximately the same as a standard one-kiloton-yield nuclear weapon. By that I mean it has the same damage per kilogram as a nuke, counting all the nuke's framework, electronics, fissionable material, and whatnot. (for the projectile to do the same damage as a standard nuke, it would need to be the same mass as a standard nuke, about 250 kilograms) A projectile moving at 3,500 km/sec would have about one mega-Rick, which is the same damage per kilogram as the ultra-compact 475-kiloton-yield W-88 nuclear warhead.
As a general rule, anything with more than 100 Ricks (i.e., over 30 km/sec relative) does weapons-grade levels of damage. As an even more shaky general rule, anything with more than 4,000 Ricks (i.e., over 190 km/sec relative) does nuclear warhead levels of damage. This is based on the assumption that a nuclear weapon has about a 4,000 fold increase in energy per kg released versus TNT.
And if you are thinking in terms of bombarding your enemy with asteroids, as a general rule an asteroid's mass will be:
Ma = 1.47e4 * (Ra3)
- Ma = mass of asteroid (kg)
- Ra = radius of asteroid (m)
In AV:T are kinetic weapons called "Kirklin mines" (invented by Kirk Spencer). They are dirt cheap chemical fueled anti-missile weapons, specifically anti-Torch missile weapons. The ideas is that they cost a fraction of the price of a fantastically expensive torch missile, yet can scrag it. Using the magic of relative velocity, all they have to do is get in the way (this is why they are used against torch missiles, if the relative velocity isn't large enough the mine might not do enough damage to mission-kill the missile).
Launched at the proper time a Kirklin mine can either take out the incoming missile while it is too far away to damage the targeted ship, or force the missile to miss the ship entirely in the process of avoiding the mine (if the mine is launched too soon the missile has enough time to zig-zag around it and still kill the ship). Since they are cheaper, a given spacecraft can carry several mines for every missile their equivalent opponent ship has.
The current thinking is the only way a torch missile can avoid being neutralized by Kirklin mines is by becoming a bus carrying sub-missiles and decoys. Of course for a modest increase in cost the mines can become buses as well...
However, once the speed of the projectile surpasses about 14% the speed of light (42,000 kilometers per second), it is no longer a strict hypervelocity weapon, it has become a relativistic weapon.
A railgun is two highly charged rails. When a conducting projectile is introduced into the breech, it strikes an arc between the rails, and is accelerated down the barrel by Lorentz force. The projectile can be composed of anything, as long as the base will conduct electricity. Sometimes a non-conducting projectile is accelerated using a conducting base plate called a sabot or armature. The maximum velocity of the projectile is about six kilometers per second, which is pretty freaking fast. This would give the projectile about 3.8 Ricks worth of damage, e.g., a ten kilogram projectile would have as much striking power as thirty-eight kilograms of TNT.
And when we say "strike an arc", we don't mean "make a tiny spark like scuffing your shoes on the carpet and touching the doorknob." It is more like "incredibly powerful continuous electrical explosion." Those rails are carrying pleny of juice, and quite a bit of it is wasted.
Advantages are simple construction, disadvantage is the severe rail erosion each projectile causes, requiring frequent replacement of rails (some prototypes required replacement after each use). The rails need massive braces, since they are under tremendous force trying to repel the rails from each other.
Remember, since the projectiles are not rocket-propelled, railguns are not recoiless.
On Jul 20 2019, Amazon Prime released the trailer for season 4 of RocketCat's favorite show: The Expanse (see above).
Matter Beam (author of the indispensable Tough SF blog) and noted polymath Sevoris Doe watched the trailer and found some interesting details. The scene opens with the good ship Rocinante with its tail pointed at the destination planet in preparation for deceleration, as it should be. This is the sort of quality attention to hard-SF details currently only found in The Expanse and in a couple of movies. But I digress.
Apparently the good ship Rocinante has been equipped with a railgun. They test it on a hapless asteroid.
Sevoris spotted some hard numbers. In the first screencap the control panel displays that the railgun round is one kilogram of tungsten, and the railgun launches the little monster at 9.98 kilometers per second.
Matter Beam and Sevoris did some calculating. 1 kg at 9.98 km/sec is packing 50 megajoules of energy. Five times the energy of a 120mm tank gun or the equivalent of 12 kilograms of TNT. Blasted thing will explode into plasma upon impact. Since the hulls of most ships in The Expanse are little more than sheet metal, the round will probably punch right through the entire ship while spraying everything inside with star-core-hot plasma. Unless the round hits something substantial, like the ship's thrust-frame spine, the nuclear reactor, or the Epstein fusion drive. Then things get real exciting for the crew, assuming they are not instantly killed.
Yep, that's weapons-grade levels of damage, no doubt about it. The legendary Scott Manley points out that while 50 MJ is weapons grade, it is nowhere near enough to split an asteroid. Personally I'm willing to cut The Expanse some slack here, since they get so much else correct.
Secondly, the recoil from firing that round will nudge the Rocinante backwards with about 10 kilo-Newtons of thrust. This is roughly the equivalent of a Toyota Prius running into a brick wall at a mild 27 km/hr. The fact that the crew got a fairly good jolt may indicate that the Rocinate is a pretty low mass spacecraft.
Thirdly, according to the control panels, firing the round only drained half the capacitors ("primary" bar graph reduced by half). Since the round took 50 MJ of energy (assuming 100% efficiency), this implies that the capacitors can hold about 100 MJ.
Fourth, the firing rate of the railgun (after the first two shots drain the capacitors dry) will give us the recharge rate of the capacitors. E.g., firing rate of 1 shot/sec = recharge of 50 megawatts, 2 shots/sec = recharge of 100 megawatts, etc.
Artist Fluorescent Wolf had the thought that the Rocinante would have to do a small thruster burn to zero out the recoil from the railgun firing. A quick re-watch of the trailer showed that The Expanse's showrunner had thought of that. As you can see in the second screencap above the blue flare from the engines signified a thruster burn. Fluorescent Wolf then noted: "...I love my show."
The Strategic Defense Initiative was an anti-nuclear ballistic missile defense program announced in 1984, and finally dissolved in 1993. It was immediately dubbed "Star Wars" by the news media. It produced lots of classified images of high-tech orbital weapons, and spent lots of money, but no deployed systems. At least none that have been declassified.
Coil guns, magnetic linear accelerator, or mass drivers are a series of donut shaped electromagnetic coils (Philip Eklund calls it a "centipede gun", in the Traveler role playing game they are called "gauss guns").
A projectile composed of some ferromagnetic material is placed just behind the first coil. The coil is energized so it attracts the projectile. When the projectile reaches the coil, the coil is turned off while the next coil in line is energized. The first coil no longer has any effect on the projectile, but the next coil attracts it. The projectile continues to accelerate. The procedure is repeated until the projectile emerges from the last coil at an incredibly high velocity.
Advantages are a much lower power consumption than an equivalent rail gun. Also the coils are not eroded with each projectile fired, unlike the severe rail erosion suffered by railguns. Disadvantages are the massive power switches required. In addition, each individual coil needs stronge bracing, as they are under tremendous force trying to expand the coil (actually for "expand" read "explode").
Note that one can use the kinetic energy equation above to see how much power the railgun or coilgun will require for each shot. Since these weapons are nowhere near 100% efficient, you will quickly discover that these weapons are power hogs.
When these weapons are armed they will be carrying plenty of electricity. If they are damaged by enemy weapons fire, there will probably be plenty of high-voltage fireworks, at least inside of the ship. I am unsure if there will be much arcing outside of the ship unless the ship is venting gas by accident (atmosphere through a hull breach) or design (open-cycle cooling gas).
Also note that as the guns get more powerful, the more recoil they will have. Indeed, they will approach being auxiliary propulsion systems. If such a gun was optimized as a propulsion system it is called a "mass driver".
To calculate parameters of your coilguns, Eric Henry has an Excel Spreadsheet. Or you can use Luke Campbell's method:
Ken Burnside notes how difficult it is to calculate the damage caused by a solid shell:
Isaac Kuo is of the opinion that hypervelocity weapons will have limited penetration. He notes that a projectile has both kinetic energy and momentum. Momentum is what keeps the projectile moving in its direction of motion.
Now, if you look at the equations for kinetic energy and momentum, you will note that as the velocity rises the kinetic energy goes up much faster than momentum (1/2 velocity squared vs just plain velocity).
Ke = 0.5 * M * V2
p = M * V
So Mr. Kuo figures that the greater your ratio of kinetic energy to momentum, the more spherical the resulting explosion and the less penetration into the interior you will get. This means hypervelocity weapons can be stopped (for a while) by a Whipple shield (until it is shot full of holes). Whipple shields are set at some distance from the hull, if the spacing is larger than the radius of the explosion, the shield takes damage but the hull does not.
I'm still looking for more details on this, especially the mathematical relationship between the ratio and the explosion sphericality.
Missiles are small drone spacecraft that chase enemy ships and attack them with their warheads. It can have its own propulsion unit, or be launched by a coilgun and just use small guidance jets. It can carry a single warhead, or be a "bus" carrying multiple warheads. Or multiple mini-missiles. Go to The Tough Guide to the Known Galaxy and read the entry "MISSILE".
One of the big advantages of missiles over directed energy weapons is that missiles do not generate huge amounts of waste heat on the firing ship. A missile can be pushed off with springs or cold gas. Once clear of the ship, the missile's propulsion system ignites. But then all the waste heat is the missile's problem, not the ships.
By the same token, the disadvantage is that missiles are expendables, unlike laser bolts (as Anthony Jackson puts it: "If you're willing to have expendables, you can also have expendable coolant."). When the missile magazine runs dry, the launcher will just make clicking noises. But a laser cannon can fire as long as it has electricity.
The second advantage of missiles over directed energy weapons is that (depending upon the warhead) most missiles are not subject to the inverse square law. Laser bolts grow weaker with distance but a nuclear warhead has the same strength no matter how far the missile travels. However, laser bolts cannot be neutralized by point defense.
The warhead is generally a nuclear weapon but others are possible. One possibility is a single-shot coilgun firing a kinetic weapon. Another type of warhead is an explosive charge coated with shrapnel, designed to deliver a cloud of kinetic kill masses into the path of the target spacecraft. A third type is the "submunition".
Of course the simplest is no warhead at all, making the structure of the missile an impromptu kinetic kill weapon. According to the first law of space combat, above about a three km/s relative velocity difference a chemical explosive warhead is superfluous. Rick Robinson says that at these speeds the only reason for conventional explosives is for the bursting charge on a shrapnel cloud.
Rick Robinson suggested that the term "torpedo" be used for a missile that has acceleration capacities comparable to a spacecraft, while the term "missile" or "torch missile" be used for those that have somewhat more acceleration than spacecraft. In GURPS: Transhuman Space they use the term "Autonomous Kill Vehicle" (AKV) instead of torpedo.
To be an effective weapon, missiles have to have acceleration abilities at least as good as the target ship. Rick Robinson says "Basically you have to make your ship drive, or something comparable to your ship drive, small enough and cheap enough for a one-shot weapon." Some drive technologies cannot be squeezed down since they have a minimum size.
Rick also notes that missiles have stupendous range. If your spacecraft can cross the solar system, so can your missiles.
Ken Burnside did the math and found that it is worse than Rick realized.
There is some convergent evolution going on here. If you take a conventional fighter aircraft and replace the pilot with remote-control gear, you have an unmanned combat aerial vehicle or combat drone. If you replace the remote-control gear with a computer AI you have an autonomous combat drone.
In the same way, if you take a space fighter and replace the pilot with remote control you will have an unmanned combat space vehicle. Replace the pilot with an AI and you have a smart missile.
Of course this raises some sticky moral questions about creating a computerized self-aware intelligence whose purpose in life is to commit suicide.
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This week's featured addition is MONOCLE FIGHTER
This week's featured addition is GASEOUS CORE SPACECRAFT