# Feasibility of Relativistic Artillery / Kill Vehicles

As far as it is known, Relativistic Kill Vehicles are a common weapon in science fiction and are rendered as powerful as nukes just due to their kinetic energy alone, a finite mass being propelled at a portion of lightspeed.

https://hackerfall.com/story/relativistic-kill-vehicle

However, one thing that has never been questioned is its feasibility, and thus I ask if it is possible to construct such a weapon.

Rules:

• Any percentage of lightspeed is fine, as long as it is above 1% lightspeed.
• The length and the size of the gun is up to you. Any resource is also fine, maybe even slightly theoretical, as long as it is not complete Unobtainium or Handwavium.
• The bullet should not have any rockets, and only a starting spark or propellant is allowed. Or magnetic materials for the bullets. Having a rocket function makes it more of a Relativistic Missile instead of a Relativistic Gun, which is what I am more looking for.
• How maneuverable must the vehicle be? Jan 17 '20 at 13:32
• No need. Can even be stationary. Just needs to turn left and right, and a bit up. Jan 17 '20 at 13:34
• I assume we also have to assess the feasibility of constructing/firing the gun? I can get any object up to any speed I like if I can make an arbitrarily long barrel and forget about its structural requirements. Jan 17 '20 at 13:47
• Oh yes, that as well. Jan 17 '20 at 13:47
• I suggest visiting this site, the section on kinetic weapons is near the bottom. projectrho.com/public_html/rocket/spacegunconvent.php
– John
Jan 17 '20 at 17:52

Any percentage of lightspeed is fine, as long as it is above 1% lightspeed.

Pfft. Unless you can get a Lorentz factor of at least two, it doesn't deserve to be called a relativistic kill weapon.

The bullet should not have any rockets, and only a starting spark or propellant is allowed.

Happily, relativistic rockets are harder to make than relativistic guns, because physics hates you and your toys, as Tsiolkovsky has observed.

I'm going to blatantly abuse the wiggle room allowed by "starting spark" and break out Jordin Kare's sailbeam interstellar propulsion system. As many have observed, going fast enough for interstellar travel, even a puny 0.1c, is really hard, and using rockets is basically a terrible idea if you want to go faster.

The sailbeam is a laser-driven light sail system, that uses a powerful laser (the "spark") to drive a stream of small sails made of suitable dielectric materials (the "propellant") to considerable speeds. The performance limits of such a thing are mindboggling... Kare suggests that maximum acceleration of a sail could be 32 million gravities (or zero to lightspeed in .97 seconds) though practical implementations probably aren't going to hit those sorts of levels.

The whole idea of the sailbeam was that each sail can be efficiently ionised and then deflected by a magnetic shield to transfer momentum, which is obviously not what you want. Instead of using the stream of relativistic lightsails directly, you bounce them off a magnetic shield behind the actual kill vehicle to drive that up to relativistic velocities. That can be a lot heavier and denser (making it impractical to deflect with mere human-generated magnetic fields) and might also have other useful adaptations like having a bursting charge to turn into a cloud of debris that is impractical to intercept. Lots of possibilities.

Sure, it doesn't look much like a "gun", but that's a good thing because guns of the conventional kind cannot possibly do what you want... too big, too hot, to inefficient. Nonetheless, it clearly ain't a rocket.

(and to those who might ask "why not just use the laser?" this could hit a target at arbitrary ranges, whereas all lasers will be diffraction limited and have finite ranges, or have planet- or star-sized optical elements)

Do note the size of this system... you probably want at least a light-second's worth of space for the sail "runway", which is about 300000km, plus sufficient distance for your kill-vehicle to get up to speed. The latter is likely to be much longer, as accelerations will be quite a few orders of magnitude lower. That gives "barrel" length of a few tens of millions of kilometres (light minutes) depending on how fast you want your projectile to go. That's why you don't want a physical barrel on this sort of weapon!

• Would that permit steering during flight by adjusting the momentum fed into the sails? That would be a noticeable advantage for guaranteeing the round lands on target! Jan 17 '20 at 14:52
• @CortAmmon-ReinstateMonica the projectile could also tweak its magnetic field to accomplish the same thing, without any lightspeed lag issues. Jan 17 '20 at 14:55
• +1 for the Jordan Kare reference. This is not a solution I would have thought of. Jan 18 '20 at 1:55

It depends on what counts as a bullet. A synchrotron can easily accelerate a proton to relativistic speeds, does that count as a bullet? Probably not, but how big must the bullet be? As this is critically important to the calculation.

It would be possible theoretically to accelerate a much larger object such as a magnetic bullet using synchrotron type technology but the practical problems are immense making the whole thing impractical.

The first issue would be acceleration, in order to build up enough speed in a reasonable time the accelerating force would need to be astronomical and/or the radius of the gun would need to be on a similar scale. And once a bullet has been powered up to such velocity it would be difficult to aim except in the plane of rotation.

• The sad thing about a synchrotron as a weapon is that the energy deposition in the weapon is massively larger than the energy that goes into the bullet. Like 10s of thousands as much. Most particle beam weapons are "one shot" meaning they blow up in order to fire. Jan 17 '20 at 14:26

Not easy, but doable (with unlimited resources).

This is what I would go for. (Caution, awesome MS paint skills)

I would go for a design not unlike the large hadron collider, only with a twist. The ship would have a diameter of 32km giving it a radius of just over 100km. This means that at .01c the projectile takes approximately 0.034 seconds to make a full revolution. Assumed you can switch the magnetic fields guiding the projectile within that time window to have it exit the straight "nozzle".

To counteract the inertia created by the projectile, one simply places thrusters in opposite direction the projectile is propelled.

The bigger problem would be the time you have to switch your fields to get the projectile from the loop into the muzzle. A full revolution at only 1%c takes only about 0,034 seconds. It'd take some really fancy electronics and programming to get this done accurately and quick enough.

But by far the biggest problem is the scale of this project. It's an absolute monstrocity and would cost an obscene amount of resources to get built in orbit. Not to mention to fuel cost to orient and maneuver this thing. Using this as a weapon would only work if it can be properly protected from enemies who also have access to advanced weaponry and could take this thing out with conventional and far less convoluted weapons.

Conclusion: However fun a weapon might be, it's not particularly practical unless this thing can be properly protected from assaults with support units... Or it could be part of a death star if you want to take a route like that.

• We have already dealt with the acceleration ring. It is seductive, but turns out to be less efficient than a linear accelerator. The force you must apply to keep your projectile in the ring turns out to be bigger than the force you need to apply to get your projectile to speed in a linear accelerator that has the same length as your ring's diameter. Jan 17 '20 at 14:24
• Centripetal acceleration is $v^2/r$, so for 0.01c at a ~16km radius, that's 57 million gravities. A 1 gram projectile at that speed would experience a force of .56MN. If that little projectile were steel, the effective pressure would exceed its yield strength, spaghettifying it, and the heat released by smashing it like this would melt and ionise it. It would exit the gun as a cloud of rapidly expanding plasma (eg. it would explode). There's a reasonable chance it would do so inside the gun barrel. Jan 17 '20 at 14:25
• yay! a photon torpedo Jan 17 '20 at 17:19
• Don't use fuel counteracting the force of accelerating your projectile, accelerate another projectile in the opposite direction and fire both at the same time! Jan 17 '20 at 21:01
• Diameter of 32 km gives a radius of 16 km. Do you mean circumference? Jan 17 '20 at 21:50

Solid vehicle relativistic weapons may not actually be able to exist. As matter approaches the speed of light, several models of quantum mechanics predict that the the "shape" of the probability cloud changes when an atom moves faster. This predicted effect is caused by the inability of the electron to exceed the speed of light forcing its orbital to become lopsided. The lopsidedness would cause complex molecules and crystalline structures to become unstable, and form a state of matter that behaves more like plasma when it leaves the barrel. I can not find any current research that proves or disproves this phenomenon; so, I will try to answer this question using the more conservative assumption of what is the "best way to make a relativistic compacted direct fire weapon" (doable) rather than "the best way to make a relativistic kill vehicle" (maybe not doable).

Most technologies able to accelerate things to relativistic speeds involve GIANT magnetic accelerators. But in space, mass is expensive making that super impractical, as Hyfnae points out.

The good (bad?) news is that there is an emerging technology that could be used to make reasonably scaled relativistic weapons. Laser accelerators can take a small coil full of matter that is already in its plasma state and accelerate it to much greater speed and precision than bulky magnet accelerators. Unlike normal solid matter, plasma can become extraordinarily ionized making it much easier to manipulate with electromagnetic forces. In 2014, the National Accelerator Laboratory, in Menlo Park, CA built a laser accelerator that was only 30cm long and could reach much higher speeds than most giant accelerators.

This means the ideal material for your "kill vehicle" is probably an ionized cold plasma cloud made of something that expands relatively slowly in its plasma state like xenon, neon, or helium.

The ideal speed to maximize damage for your energy input is technically somewhere around 0.6-0.7C. Faster than that and your matter becomes less reactive with normal matter and a lot of your energy will just pass right through the target and be wasted... That said, maximum damage is not necessarily the best weapon here. Because matter can only travel at 1C, as you get really close to 1C your plasma stops being able to dissipate. It basically time dilates into an almost "solid" mass. For example, at 0.99995C, you have a Lorentz factor of 100 meaning that something like Xenon plasma would only expand ~1.8 meters per second. At that speed, your Xenon pulse will be more like getting shot by a nuclear powered x-ray than a bullet, but even if the targeted ship does not exactly explode in a giant nuclear blast, your shot will still empart so much energy into the collisions that do happen that you can still cause devastating damage.

Then there is the ever common question that comes up with relativistic weapons: "Why not just use a laser?" Well anything that fires at 0.99995C might as well be called a laser except for one key element. Ballistic damage is a function of how much energy you can focus into the smallest amount of space and time as possible. Shining a flashlight at someone for a few hours won't hurt them, but translate the energy of that light into kinetic energy and compress it into a fraction of a second and you are are talking about giving someone a gunshot wound. Similarly, These plasma accelerators impart the energy of lasers over time into the plasma's kinetic energy. You might spend several seconds, minutes, hours, whatever charging up the plasma to its full speed, but once released, you are emptying a coil that might only be a few meters long at a speed of 300,000km/s thus turning your flashlight into a gun.

• Plasma weapons don't really work very well; their ranges are just too short. I'm pretty certain that your ideal speed is waaaay too low, as well, given the sort of things you might usefully want to shoot. Jan 17 '20 at 17:44
• @StarfishPrime, I believe you are right on both accounts, that said, by mixing way higher speeds with plasma, time dilation should solve the plasma dissipation issue. See revised answer. Jan 17 '20 at 19:56
• Your second sentence seems incorrect. Matter does not become plasma just because it approaches the speed of light. From the frame reference of the bullet, nothing much changes about itself. The act of accelerating something quickly up to relativistic speeds might turn it into plasma, but the OP put no restriction on length, so you could have a solar system sized gun that uses a leisurely acceleration if you want. Jan 17 '20 at 20:17
• @Nosajimiki-ReinstateMonica handwaving a gamma of 100 might go some way to fixing it, sure, but your weapon is still short ranged compared to a weapon that doesn't have that issue. That's a 60m+ cloud at a single light minute. The same handwavery (and indeed, much of the same hardware) could be applied to a free electron laser with a similar range and a much tighter spot. Jan 17 '20 at 20:41