Deeviant said:
I see no feasible way to create a star trek style "shield", nor any reasonable way to armor a spaceship that would be in any way capable of standing up to even the weapons we could build now, let alone weapons of the future. I could not even think of a system that could sufficiently protect a ship against a large thermonuclear bomb.
You do it the same way we do it today. Shoot the missile or jam its radar.
I suggest researching modern warfare especially air and sea. This is almost all electronic now (no more dogfights!). We have both hard and soft kill systems in use today, for preventing missile hits. Modern warships are not significantly armoured in way that World War II ships were, or that tanks are.
Hard kill involves shooting the missile. There are a number of systems for this e.g. AEGIS air defence system on the US Navy "Burke" class Destroyers. This was designed for air defence (against missiles and aircraft) but is now being adapted to defend against ballistic missiles (it has hit them in tests: give it a few more years). The premise of the system is that you fit surface-to-air (SAM) missiles to a ship, add a very sophisticated air defence radar, and theoretically (if it all works, and the crew all do their jobs) you can stop missiles and aircraft from reaching you.
I haven't seen any classified data on this but you can assume it *probably* works as follows: It has 90 missile cells. Each cell holds a single long range surface-to-air missile (SAM), or 4 short range ones (the new ESSM 4-packs). It will shoot 2 of the long range missiles at each incoming air target at about >100km range and each missile *probably* hits 0.5 of the time. At about >50km range it will shoot 2 of the short range ones at any "leakers", with almost certainly higher pH. At point blank range it will use a single RAM missile vs any leaker. In tests, RAM has a 0.9 pH.
I don't know what range they are hitting ballistic missiles at. Ask me again in 10 years. Space combat would probably be extending the ranges.
Soft kill can involve electronic jamming (ECM "Electronic Counter Measures"). For example radar "decoys". These rely on the fact that a missile must somehow be able to find its target by itself (unless you want to put a pilot into it) and do this it has a radar. The radar works by giving off signals that bounce back from the target and by detecing the reflected signals, the device locates stuff. By transmitting "false echos" you can confuse a radar.
An example of such a system is "Nulka". This is a rocket that you launch from a ship, which can hover close to the sea, and gives off signals, making it look, to the small computer and basic radar in a missile, like a ship. Remember that if a missile "misses" it may not be able to turn around and re-attack: Only a small number of modern missiles can turn around for a second go (fuel limit, computer limit, maneuvering limit, G-force breaks the fins off etc) and they can be shot as they turn.
There are also various "ECM" devices that comprise transmitters mounted on the ship itself, that can emit signals, that have the same effect. e.g. "SLQ-32". The large computer on a warship is much smarter than the smaller one on a missile.
More primitive systems used "chaff" which could be described as "reflective confetti" and produced a cloud on the radar that obscured the targets. One even launched a net at the missile (that didn't really work, but in space you might use a gun that shoots a glob of expanding foam or something to catch the missile, then it can have bomb or a TASER or something in the foam cartridge - net projectors certainly have worked in the past). A basic metal grille should stop a missile, if it hits it hard enough to hurt itself ...
Finally, and this sounds crazy, but you also have to locate the target before you can shoot a weapon at it. I don't mean stealth, I mean: Say there's a CVN (aircraft carrier) attacking you, that you want to get rid of. OK, where is it? It's not going to be in sight of the coast as it can strike from over 1,000 kilometers away. (In space, it's painted black and in any case they probably parked it behind the moon and are sending drones out around the moon to attack you. "Behind the moon" is a big place.)
First, your radar and camera satellites don't cover the entire ocean. There are gaps and because their orbits are known, the carrier can sail between them: (no joke, USA used to do this to Russian RORSATS [Radar Ocean Reconnaissance SATellite) but it is harder now with more satellites (a lot harder). However, USA, Russia and China have all demonstrated the abilty to shoot satellites. In space, radar satellites aren't going to be as lopsided as they are on Earth - they will be be just extra spaceships.
Second, the carrier has a sea control zone of several hundred kilometers in any direction created by its air patrols. Your own scouts and satellites entering this zone are certainly going to come under attack well before they cross the "radar horizon" at the point at which they can detect the carrier due to line of sight over the curve of the Earth or in our case "behind the moon". If the scouts have their own radars on, this is even harder as a radar is like a searchlight: The guy you are looking for can detect you very easily by the beam from your searchlight, and will see you before you see him; it's quite easy therefore for him to shoot his rifle at the light then move to a new place - don't stand next to the guy carrying the light - the equivalent to this is a missile that homes in on active radars. There's also missiles that home in on jamming sources - it's a never ending cycle of weapon vs counter-weapon.
Even if your missiles are set for "bearing only launch" with a wide search pattern (Mr Missile, please fly 500 km in direction A then turn on your radar and look for ship targets over 100 meters in length) not only to the missiles themselves also have to survive, and not get their radars turned off, they are as likely to prang an oil tanker as they are the enemy warship. That's probably less likely in space but you never know ... one assumes you will fight for control of planets, and not randomly in deep space.
Finally, if you're in space and using nukes, note that in space, you're going to have land a nuke very close, as there is no atmosphere to create a pressure wave. There's also nothing stopping the other guy using nukes to counter your nukes. He doesn't need to destroy the missile, just damaging its electronic systems is sufficient.
Missiles can evade (modern anti-ship ones do, they are programmed to make radical maneuvers as they near the target to make it harder to hit them) but essentially they have to get within a certain distance of the target so their destination is known, and they do have a big heat source from their engine and a big searchlight on the front called a radar, so they aren't exactly hard to see.
Guns also can be effective against missiles. The reason gun-based defences are being superceeded with electronics and counter-missiles in modern warfare is due to the limited range of guns vs the speed of modern missiles. However, in space with access to lasers and railguns etc, this may be less of a factor. A gigantic "shotgun" may well be able to deal with incoming missiles.
One other thing to consider, you can stick a gun or submunition on a missile. For example a bomb-pumped X-Ray laser. This is supposed to be a nuke that explodes and directs its force forwards via rods that channel the blast; it's sort of a one use laser that doesn't require you to get close to the enemy. Today we have thing like "subroc" which is a missile that launches a torpedo (because the range of a torpedo is limited, and it does not require a separate torpedo system to launch it); many mines also don't explode, but instead launch torpedoes. You could have a single "bus" vehicle that would spit out submunitions - small anti-missile missiles - in the vague direction of any incoming missile.
Some wikis to check out
http://en.wikipedia.org/wiki/Ballistic_missile_defence
http://en.wikipedia.org/wiki/Nulka
http://en.wikipedia.org/wiki/Aegis_Combat_System
http://en.wikipedia.org/wiki/Electronic_countermeasure
http://en.wikipedia.org/wiki/DDG_51
http://en.wikipedia.org/wiki/SLQ-32_Electronic_Warfare_Suite
BTW: I just remembered there have been nuclear tests vs warships. You have to get considerably closer than most people would imagine ... and that's with an atmophere. They have positively pressurised super-structure and decontamination wash-down systems now on warships. I'll to find the results in Google but that is something you may wish to look for.
EDIT: I also remembered the "medium problem". This is "a missile is faster than a sea ship because it moves in the air, and not the sea". But a missile is not significantly faster than an aircraft ... and only recently (e.g. Spearfish @ 70 knots) have torpedoes been faster than ships or submarines.
The Russians actually built a submarine (Akula class - NATO name, Russian "Akula" is a different class) with sufficient speed to outrun the American torpedo of the same period, and the American SR-71 "blackbird" airplane was able to outrun anti-aircraft missiles. The actual missile had similar speed to the plane, but since the missle had to close, if the aircraft saw it and altered course, it would pass behind.