The Evil Overlord
07-09-2003, 21:59
I am posting this information- along with the links and lectures below- in order to cut down on the uninformed nonsense that frequently appears on the boards. Note carefully that this only applies to real-world modern technology. If you are using fusion power plants, FTL ships, gravitic drives, etc, only the lectures at the end of the post really apply.
Anyone having trouble with the terminology in these lectures can go to the glossary in the first link.
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A large number of the players in the game who roleplay with modern technology make use of satellites, space stations, and spacecraft. Sadly, though they use real-world technology, most of them seem to lack an understanding of real-world physics, particularly orbital mechanics.
All too often some player makes the statement, “Any satellites flying over my territory will be shot down.” There are several problems with this, and I’ll take ‘em one at a time.
Satellite Overflights
There are dozens- if not scores or hundreds- of nations with modern space technology in the game. Each one of these puts several dozen satellites of various types into a wide variety of orbital paths. We’ll pull a bunch of numbers out of the air and say that there are fifty nations with satellites in orbit (using only real-world technology). If each such nation puts up 5 reconnaissance satellites (a reasonably small number, since the USA has a large- but classified- number of advanced spy satellites). That makes 250 satellites. Each one also has 10 communications satellites (far too small a number), for an additional 500 satellites. We’ll also assume each nation has 5 weather satellites (another 250 birds). With these extremely rough numbers, we have over 1000 satellites in orbit. I haven’t even mentioned the GPS satellites, dedicated cell-phone satellites, orbital observatories, et cetera.
A lot of these birds will be in polar orbits. The satellite travels over both poles as the planet rotates beneath them. This allows the satellites to cover the entire planet over time. Other satellites will be in orbits that go slightly north and slightly south of the equator, thoroughly covering the terrain between their northern and southern maximum latitudes. Other satellites will be in geosynchronous orbits (at around 36,000 kilometers, the orbital speed matches the Earth’s rotation, so the satellite stays over the same portion of the Earth’s surface). Most of these will be observing the entire hemisphere that faces them.
Because of these facts, every nation may be reasonably certain that there are satellites flying over their territory at least once/day. Most rational nations agree that their national territorial claims end at the earth’s stratosphere, but I won’t get into International Laws here.
Orbits
Generally speaking, the lower the orbit, the shorter the satellite’s lifespan. In real life, it is very difficult to refuel a satellite in orbit. A satellite at 100 miles altitude will experience orbital decay due to friction with the atmosphere. This can only be countered by using the satellite’s engines to keep the speed up. The engines require fuel. Sooner or later, the fuel runs out. When the fuel runs out, the satellite starts to slow down and the orbit becomes a long spiral into the atmosphere.
Many satellites deal with this issue by spending most of their orbit at higher altitudes. Since few orbits are perfect circles, this is not much of an issue. The orbits resemble an oval (ellipse). The Earth is close to one end of the oval. Most of the satellite’s lifespan is spent far away from the planet, and it only swings close by once per orbit. Since the planet is turning beneath the satellite at the same time, the satellite covers a slightly different path over the surface as it orbits. Eventually, the satellite will fly over every millimeter of the planet’s surface.
Remember the fuel issue? It still exists. These birds are on ballistic orbits. They are NOT under thrust once they establish their orbit. They are still coasting on the initial thrust that set up the orbit in the first place. Changing the orbit takes LOTS of fuel. Few satellites can make more than a small number of MINOR maneuvers during their lifespan- usually to counteract atmospheric drag. Done properly, a miniscule amount of thrust can increase the satellite’s speed enough to counteract atmospheric friction- making the tiny amount of fuel onboard last much longer.
Shooting down a satellite
It CAN be done. The US Air Force built a few specialized missiles designed to be launched by F-15’s to take out low-flying satellites. This missile is nearly as long as the aircraft that carries it. The ASAT mission (AntiSATellite) requires specially-trained pilots and specially-equipped aircraft. Satellites with little or no maneuvering reserve fuel in low orbits are vulnerable to this attack.
In order to destroy a satellite in a higher orbit, actual launch vehicles must be used. Each ASAT mission requires the same preparations and cost as launching the satellite to begin with. Attacking satellites from the Earth is very difficult and expensive- mostly due to the problems involved with overcoming the Earth’s massive gravity. Think of it as trying to shatter some glass jars sitting on the rim of a very deep well. The only way you can shatter them is by throwing rocks. But you are at the bottom of the well. And the glass jars are zooming around the edge of the well at a high rate of speed.
“What about beam weapons- Lasers, and the like?” I hear you ask. Remember that we’re dealing with real-world physics here. The biggest problem with laser ASAT weapons is power throughput. Lasers are beams of light. They’ve been amplified and collimated down to coherent beams, but they’re still light. Light spreads out over distance (I won’t get into the physics of why this happens because it is fairly detailed and I’m trying to keep this simple). Even a beam collimated down to 1mm at the aperture (highly unlikely in a weapon) would spread enormously after traveling through 100 miles of atmosphere. This means that the laser would require enormous amounts of energy to be an effective weapon at that range. Too much of the energy is lost in forcing the air aside in order for the energetic photons to damage the target.
The US military has been working on classified missile defense beam weapons for decades, but they’re still not planning on destroying satellites with ground-based lasers anytime soon. Ground-based lasers HAVE been used to damage satellites. The Soviets routinely tried to blind low-flying spy satellites with laser beams. Anecdotal evidence suggests that they might have been partially successful, but hard data is very hard to come by.
The best way to destroy a satellite in orbit is to use a weapon that is also in orbit. Fire a shotgun shell into the path of a satellite and any pellets that hit will do enormous damage. A satellite or spacecraft-launched missile would be just as effective, and probably have a better chance to hit. Even beam weapons from orbital weapons would have a greater chance for success due to proximity and lack of atmospheric scatter. The SDI (Strategic Defense Initiative) had plans to use one-shot beam weapons to destroy ballistic missiles before they re-entered the atmosphere. Each one of these weapons uses the power of a contained (for a microsecond or two) nuclear explosion to generate the charged particle beam or X-Ray laser that would destroy or “mission-kill” (more on these terms later) the missile warhead. The contemporary plans to use ground-based lasers and orbital mirrors fell by the wayside when the power throughput issue killed the ground-based laser program.
Another possible ASAT concept is the so-called “killsat”, or killer satellite. Launch a bunch of satellites loaded with lightweight self-homing missiles, shotgun-like firearms, or chemically-powered beam weapons and lots of fuel. Put these birds in a high orbit. Whenever you want to take out a particular satellite, deploy the missiles or fire the shotguns or energize the lasers whenever the killsat is in relative proximity to the target satellite and ahead of the target’s orbital path.
Now we get down to the “destroying” satellites part. Space is vast. Even the relatively close quarters of planetary orbit still involves enormous amounts of space. Satellites are tiny by comparison. It is very hard to hit a satellite. Even “smart” or “brilliant” missiles can still miss, particularly if the satellite uses a great deal of fuel to execute a violent maneuver (unlikely in light of the fuel constraints, but technically possible). The most effective means of “destroying” a satellite is the Kinetic Energy Weapon (KEW). KEWs rely on relative velocity and mass to do damage. Basically, it means that the KEW must hit the target satellite. Radar guidance is one method for increasing the precision of the weapon, or any other self-guidance system, but these methods start adding a lot of cost to the already staggering expense of building and launching the orbital weapon or spacecraft to begin with.
The answer of course lies in “area-effect” KEWs. The shotgun effect. If a target satellite is zipping along at 20,000 KPH (a modest speed for space travel), firing a shotgun in the opposite direction from fairly close in front of it would have a devastating effect. Each individual shotgun pellet is a fairly insignificant mass, but the pellets are traveling at 100 meters per second (360,000 KPH) and run head on into a satellite with a mass of 200 kilograms traveling at 20,000 KPH (around 6 meters per second). The satellite would be pretty thoroughly shredded by the impact and the subsequent heating from the friction of the impact. This satellite could reasonably be considered “killed”, since it won’t be doing its designed task in its current state and the change in velocity from the impact (known as “delta v”) would doubtless end up dropping the satellite into a spiraling orbit that results in its eventual destruction during re-entry.
The big problem is how to get the shotgun in front of the target close enough to do this kind of damage. If the shotgun is too far away, the odds against successful impact increase exponentially with distance. In layman’s terms, every meter of distance between the target and the shotgun doubles the chances that the target will be undamaged (this is a rough approximation, used only for purposes of this post). Remember where I mentioned that satellites are hard to hit? Imagine this:
The satellite is zipping along at 6 meters/second. Your killsat is several kilometers ahead of the target, in an orbit two kilometers higher. These orbits are going to be in exactly the same orbital plane for purposes of keeping this example simple (meaning that at any given point in either satellite’s path, they will be covering the exact same territory on the planet beneath). So, your killsat aims directly at the target satellite and fires a shotgun at it. Any duck hunter could tell you what happens next- your shotgun blast misses the target by several kilometers. We’ll assume that the onboard computer has figured out the intercept problem and fires well AHEAD of the target (this is called “leading the target”), so that the pellets will arrive at the target’s orbit WHILE THE TARGET IS THERE. Success, right? Not necessarily. The pellets will spread as they leave the barrel of the weapon. As they travel the several kilometers toward the target, they spread farther and farther apart. Every meter of distance doubles the chances for a miss. The odds of actually hitting the target from that range are pretty slim.
So what is the answer? The weapon system most likely to ensure success would be a radar-guided missile with a shaped-charge fragmentation warhead. Radar from the killsat would track the target, compare orbits, and launch the missile into an interception orbit. Once the missile was in position in an imaginary cone no more than 45 degrees in front of the target’s projected orbit, it would explode. The shaped charge of the missile would direct most of the shrapnel at a high rate of speed into the projected orbit of the target. We get the shotgun effect, the target is extremely likely to be damaged beyond recovery, and will likely drift out of its original orbit.
Beam weapons can also “kill” satellites- if they are fired from outside the earth’s atmosphere. Here there is a lot less worry about accuracy, since the beams are by definition traveling at C (light speed- roughly 300,000 kilometers/second), and the target is unlikely to have traveled far between firing and impact (especially in planetary orbit). The problem with beam weapons is that they are unlikely to destroy the target. It’s likely that the laser would heat the satellite up, melt a hole in the hull, or damage the electronics onboard, but the bird would almost certainly remain in orbit. This brings me to the difference between “mission kill” and “destroy”.
We’ve already discussed destruction, so I will focus on “mission kill”. This is a military term meaning that the target is not “destroyed”, but it is incapable of performing its mission. Even if a KEW fails to reduce the target satellite to shredded metal, the impact friction and change in delta v are likely to cause a “mission kill”, because the satellite would be unlikely to be of much value to anyone afterwards. It would not take much of a change in delta v to change a satellite’s orbit enough to make it useless for its owners.
Lasers are good weapons to execute a “mission kill” on a target satellite. If the laser is powerful enough, it could do extensive damage in a few microseconds to the hull, solar screens, antennae, or sensors on the target satellite. The lower the laser’s energy level, the longer the contact with the target must be to do significant damage. Even relatively low-powered lasers (class III) could “blind” a satellite by creating an electromagnetic (EM) field around the target, or overloading the sensors with heat or EM energy.
X-ray lasers, Gamma-ray lasers, and Masers (Microwave Amplified by Sustained Emission of Radiation) are all examples of high-energy beam weapons with enormous potential to damage any target they hit. The problem with such high-energy weapons is the energy requirement. It takes the equivalent of a tactical nuclear bomb to generate enough energy in the extremely short time required to generate these beams. This is essentially what the US Government was looking at for the SDI program.
Put a small nuclear weapon into a casing with an extremely refractive lining. This lining is pierced by the laser emission tubes. When a target is detected, the entire assembly is turned to point toward the target, then the nuke within goes off. For a few microseconds, the nuclear explosion is contained, and the energy is channeled into the laser emitters. These tubes send out X-ray laser beams toward the target. The highly energetic beams penetrate the target (unless it is shielded by thick metal of one sort or another- in which case the beams melt everything) and burn out every electrical circuit onboard. Fuel tanks would rupture or explode from the heat of the beams’ passage. This would be more than enough to “mission kill” any satellite made with modern technology. It would also be enough to do the same for missile warheads.
There are a couple of problems with these. First is the fact that they are one-use weapons. One shot is all you get, because the weapon is destroyed as it fires. Another problem is the fact that nuclear weapons are dangerous. A weapon that would destroy a city on the planet has a lot of potential to create havoc in space. It also creates an Electro-Magnetic Pulse (EMP). A sphere of intense EM energy is released by the explosion, which reacts with and overloads any EM fields it encounters (this effect decreases with distance, of course). Active electronic components are destroyed by en EMP. This will affect the satellite or spacecraft employing the weapon as well as anyone else in the area.
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http://users.commkey.net/Braeunig/space/orbmech.htm
http://liftoff.msfc.nasa.gov/RealTime/JTrack/
Types Of Orbits
For a spacecraft to achieve earth orbit, it must be launched to an elevation above the Earth's atmosphere and accelerated to orbital velocity. The most energy efficient orbit, that is one that requires the least amount of propellant, is a direct low inclination orbit. To achieve such an orbit, a spacecraft is launched in an eastward direction from a site near the Earth's equator. The advantage being that the rotational speed of the Earth contributes to the spacecraft's final orbital speed. At the United States' launch site in Cape Canaveral (28.5 degrees north latitude) a due east launch results in a "free ride" of 915 mph (1,470 kph). Launching a spacecraft in a direction other than east, or from a site far from the equator, results in an orbit of higher inclination. High inclination orbits are less able to take advantage of the initial speed provided by the Earth's rotation, thus the launch vehicle must provide a greater part, or all, of the energy required to attain orbital velocity. Although high inclination orbits are less energy efficient, they do have advantages over equatorial orbits for certain applications. Below we describe several types of orbits and the advantages of each:
Geosynchronous orbits, also called geostationary orbits (GEO), are circular, low inclination orbits around the Earth having a period of 24 hours. A spacecraft in a geosynchronous orbit appears to hang motionless above one position on the Earth's surface. For this reason, they are ideal for some types of communication and meteorological satellites. To attain geosynchronous orbit, a spacecraft is first launched into an elliptical orbit with an apogee of 22,240 miles (35,790 km) called a geostationary transfer orbit (GTO). The orbit is then circularized by firing the spacecraft's engine at apogee.
Polar orbits (PO) are orbits with an inclination of 90 degrees. Polar orbits are useful for satellites that carry out mapping and/or surveillance operations because as the planet rotates the spacecraft has access to virtually every point on the planet's surface.
Walking orbits: An orbiting satellite is subjected to a great many gravitational influences. First, planets are not perfectly spherical and they have slightly uneven mass distribution. These fluctuations have an effect on a spacecraft's trajectory. Also, the sun, moon, and planets contribute a gravitational influence on an orbiting satellite. With proper planning it is possible to design an orbit which takes advantage of these influences to induce a precession in the satellite's orbital plane. The resulting orbit is called a walking orbit, or precessing orbit.
Sun synchronous orbits (SSO) are walking orbits whose orbital plane precesses with the same period as the planet's solar orbit period. In such an orbit, a satellite crosses periapsis at about the same local time every orbit. This is useful if a satellite is carrying instruments which depend on a certain angle of solar illumination on the planet's surface. In order to maintain an exact synchronous timing, it may be necessary to conduct occasional propulsive maneuvers to adjust the orbit.
Hohmann transfer orbits are interplanetary trajectories whose advantage is that they consume the least possible amount of propellant. A Hohmann transfer orbit to an outer planet, such as Mars, is achieved by launching a spacecraft and accelerating it in the direction of Earth's revolution around the sun until it breaks free of the Earth's gravity and reaches a velocity which places it in a sun orbit with an aphelion equal to the orbit of the outer planet. Upon reaching its destination, the spacecraft must decelerate so that the planet's gravity can capture it into a planetary orbit.
To send a spacecraft to an inner planet, such as Venus, the spacecraft is launched and accelerated in the direction opposite of Earth's revolution around the sun (i.e. decelerated) until in achieves a sun orbit with a perihelion equal to the orbit of the inner planet. It should be noted that the spacecraft continues to move in the same direction as Earth, only more slowly.
To reach a planet requires that the spacecraft be inserted into an interplanetary trajectory at the correct time so that the spacecraft arrives at the planet's orbit when the planet will be at the point where the spacecraft will intercept it. This task is comparable to a quarterback "leading" his receiver so that the football and receiver arrive at the same point at the same time. The interval of time in which a spacecraft must be launched in order to complete its mission is called a launch window.
Newton's Laws of Motion and Universal Gravitation
Newton's laws of motion describe the relationship between the motion of a particle and the forces acting on it.
The first law states that if no forces are acting, a body at rest will remain at rest, and a body in motion will remain in motion in a straight line. Thus, if no forces are acting, the velocity (both magnitude and direction) will remain constant.
The second law tells us that if a force is applied there will be a change in velocity, i.e. an acceleration, proportional to the magnitude of the force and in the direction in which the force is applied.
Motions of Planets and Satellites
Through a lifelong study of the motions of bodies in the solar system, Johannes Kepler (1571-1630) was able to derive three basic laws known as Kepler's laws of planetary motion . Using the data compiled by his mentor Tycho Brahe (1546-1601), Kepler found the following regularities after years of laborious calculations:
1. All planets move in elliptical orbits with the sun at one focus.
2. A line joining any planet to the sun sweeps out equal areas in equal times.
3. The square of the period of any planet about the sun is proportional to the cube of the planet's mean distance from the sun.
These laws can be deduced from Newton's laws of motion and law of universal gravitation. Indeed, Newton used Kepler's work as basic information in the formulation of his gravitational theory.
As Kepler pointed out, all planets move in elliptical orbits, however, we can learn much about planetary motion by considering the special case of circular orbits. We shall neglect the forces between planets, considering only a planet's interaction with the sun. These considerations apply equally well to the motion of a satellite about a planet.
Launch of a Space Vehicle
The launch of a satellite or space vehicle consists of a period of powered flight during which the vehicle is lifted above the earth's atmosphere and accelerated to orbital velocity by a rocket, or launch vehicle. Powered flight concludes at burnout of the rocket's last stage at which time the vehicle begins its free flight. During free flight the space vehicle is assumed to be subjected only to the gravitational pull of the earth. If the vehicle moves far from the earth, its trajectory may be affected by the gravitational influence of the sun, moon, or another planet.
Escape Velocity
We know that if we throw a ball up from the surface of the earth, it will rise for a while and then return. If we give it a larger initial velocity, it will rise higher and then return. There is a velocity, called the escape velocity, Vesc, such that if the ball is launched with an initial velocity greater than Vesc, it will rise and never return. We must give the particle enough kinetic energy to overcome all of the negative gravitational potential energy.
Thrust
Thrust is the force that propels a rocket or spacecraft. In this section we will take a look at how the application of thrust affects the orbit of a space vehicle.
A space vehicle in orbit experiences the sensation of weightlessness because the outward force of centrifugal acceleration perfectly balances the inward gravitational pull of the earth. By applying thrust, the space vehicle's velocity can be increased or decreased. If velocity is increased the outward centrifugal force also increases which "pulls" the vehicle to a higher orbit. Decreasing velocity lessens the centrifugal force and gravity "pulls" the vehicle to a lower orbit. Such altitude changes do not alter the inclination of the orbit, they merely reposition the vehicle within the same orbital plane. Applying thrust at right angles to the orbital plane modifies the inclination. These maneuvers, called plane changes, burn considerably more propellant than altitude changes.
For a spacecraft to perform an altitude change, two engine burns are required. To change to a higher orbit, the spacecraft fires its engine to increase velocity, thus placing it in an elliptical orbit with an apoapsis equal to the new altitude. When the spacecraft reaches apoapsis, a second burn is performed to once again increase velocity, thereby placing the vehicle in a circular orbit. For a spacecraft to change to a lower orbit, the procedure is reversed. The craft fires its engine in the direction of travel to decrease velocity, thus dropping the spacecraft into an elliptical orbit with a periapsis equal to the new altitude. When reaching periapsis the engine is fired to decrease velocity further, thereby circularizing the orbit.
When propulsive maneuvers are used to alter the orbit of a space vehicle, engineers calculate the magnitude of the velocity change required to achieve the desired alteration. This change in velocity is called delta v (v).
Drag
Drag is the resistance offered by a gas or liquid to a body moving through it. A spacecraft is subjected to drag forces when moving through a planet's atmosphere. This drag is greatest during launch and reentry, however, even a space vehicle in low earth orbit experiences some drag as it moves through the earth's tenuous upper atmosphere. In time, the action of air drag on a space vehicle will cause it to spiral back into the atmosphere, eventually to disintegrate or burn up. If a space vehicle comes within 80 to 100 miles of the earth's surface, air drag will bring it down in a few days, with final disintegration occurring at an altitude of about 50 miles. This deterioration of a spacecraft's orbit is called decay.
Anyone having trouble with the terminology in these lectures can go to the glossary in the first link.
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A large number of the players in the game who roleplay with modern technology make use of satellites, space stations, and spacecraft. Sadly, though they use real-world technology, most of them seem to lack an understanding of real-world physics, particularly orbital mechanics.
All too often some player makes the statement, “Any satellites flying over my territory will be shot down.” There are several problems with this, and I’ll take ‘em one at a time.
Satellite Overflights
There are dozens- if not scores or hundreds- of nations with modern space technology in the game. Each one of these puts several dozen satellites of various types into a wide variety of orbital paths. We’ll pull a bunch of numbers out of the air and say that there are fifty nations with satellites in orbit (using only real-world technology). If each such nation puts up 5 reconnaissance satellites (a reasonably small number, since the USA has a large- but classified- number of advanced spy satellites). That makes 250 satellites. Each one also has 10 communications satellites (far too small a number), for an additional 500 satellites. We’ll also assume each nation has 5 weather satellites (another 250 birds). With these extremely rough numbers, we have over 1000 satellites in orbit. I haven’t even mentioned the GPS satellites, dedicated cell-phone satellites, orbital observatories, et cetera.
A lot of these birds will be in polar orbits. The satellite travels over both poles as the planet rotates beneath them. This allows the satellites to cover the entire planet over time. Other satellites will be in orbits that go slightly north and slightly south of the equator, thoroughly covering the terrain between their northern and southern maximum latitudes. Other satellites will be in geosynchronous orbits (at around 36,000 kilometers, the orbital speed matches the Earth’s rotation, so the satellite stays over the same portion of the Earth’s surface). Most of these will be observing the entire hemisphere that faces them.
Because of these facts, every nation may be reasonably certain that there are satellites flying over their territory at least once/day. Most rational nations agree that their national territorial claims end at the earth’s stratosphere, but I won’t get into International Laws here.
Orbits
Generally speaking, the lower the orbit, the shorter the satellite’s lifespan. In real life, it is very difficult to refuel a satellite in orbit. A satellite at 100 miles altitude will experience orbital decay due to friction with the atmosphere. This can only be countered by using the satellite’s engines to keep the speed up. The engines require fuel. Sooner or later, the fuel runs out. When the fuel runs out, the satellite starts to slow down and the orbit becomes a long spiral into the atmosphere.
Many satellites deal with this issue by spending most of their orbit at higher altitudes. Since few orbits are perfect circles, this is not much of an issue. The orbits resemble an oval (ellipse). The Earth is close to one end of the oval. Most of the satellite’s lifespan is spent far away from the planet, and it only swings close by once per orbit. Since the planet is turning beneath the satellite at the same time, the satellite covers a slightly different path over the surface as it orbits. Eventually, the satellite will fly over every millimeter of the planet’s surface.
Remember the fuel issue? It still exists. These birds are on ballistic orbits. They are NOT under thrust once they establish their orbit. They are still coasting on the initial thrust that set up the orbit in the first place. Changing the orbit takes LOTS of fuel. Few satellites can make more than a small number of MINOR maneuvers during their lifespan- usually to counteract atmospheric drag. Done properly, a miniscule amount of thrust can increase the satellite’s speed enough to counteract atmospheric friction- making the tiny amount of fuel onboard last much longer.
Shooting down a satellite
It CAN be done. The US Air Force built a few specialized missiles designed to be launched by F-15’s to take out low-flying satellites. This missile is nearly as long as the aircraft that carries it. The ASAT mission (AntiSATellite) requires specially-trained pilots and specially-equipped aircraft. Satellites with little or no maneuvering reserve fuel in low orbits are vulnerable to this attack.
In order to destroy a satellite in a higher orbit, actual launch vehicles must be used. Each ASAT mission requires the same preparations and cost as launching the satellite to begin with. Attacking satellites from the Earth is very difficult and expensive- mostly due to the problems involved with overcoming the Earth’s massive gravity. Think of it as trying to shatter some glass jars sitting on the rim of a very deep well. The only way you can shatter them is by throwing rocks. But you are at the bottom of the well. And the glass jars are zooming around the edge of the well at a high rate of speed.
“What about beam weapons- Lasers, and the like?” I hear you ask. Remember that we’re dealing with real-world physics here. The biggest problem with laser ASAT weapons is power throughput. Lasers are beams of light. They’ve been amplified and collimated down to coherent beams, but they’re still light. Light spreads out over distance (I won’t get into the physics of why this happens because it is fairly detailed and I’m trying to keep this simple). Even a beam collimated down to 1mm at the aperture (highly unlikely in a weapon) would spread enormously after traveling through 100 miles of atmosphere. This means that the laser would require enormous amounts of energy to be an effective weapon at that range. Too much of the energy is lost in forcing the air aside in order for the energetic photons to damage the target.
The US military has been working on classified missile defense beam weapons for decades, but they’re still not planning on destroying satellites with ground-based lasers anytime soon. Ground-based lasers HAVE been used to damage satellites. The Soviets routinely tried to blind low-flying spy satellites with laser beams. Anecdotal evidence suggests that they might have been partially successful, but hard data is very hard to come by.
The best way to destroy a satellite in orbit is to use a weapon that is also in orbit. Fire a shotgun shell into the path of a satellite and any pellets that hit will do enormous damage. A satellite or spacecraft-launched missile would be just as effective, and probably have a better chance to hit. Even beam weapons from orbital weapons would have a greater chance for success due to proximity and lack of atmospheric scatter. The SDI (Strategic Defense Initiative) had plans to use one-shot beam weapons to destroy ballistic missiles before they re-entered the atmosphere. Each one of these weapons uses the power of a contained (for a microsecond or two) nuclear explosion to generate the charged particle beam or X-Ray laser that would destroy or “mission-kill” (more on these terms later) the missile warhead. The contemporary plans to use ground-based lasers and orbital mirrors fell by the wayside when the power throughput issue killed the ground-based laser program.
Another possible ASAT concept is the so-called “killsat”, or killer satellite. Launch a bunch of satellites loaded with lightweight self-homing missiles, shotgun-like firearms, or chemically-powered beam weapons and lots of fuel. Put these birds in a high orbit. Whenever you want to take out a particular satellite, deploy the missiles or fire the shotguns or energize the lasers whenever the killsat is in relative proximity to the target satellite and ahead of the target’s orbital path.
Now we get down to the “destroying” satellites part. Space is vast. Even the relatively close quarters of planetary orbit still involves enormous amounts of space. Satellites are tiny by comparison. It is very hard to hit a satellite. Even “smart” or “brilliant” missiles can still miss, particularly if the satellite uses a great deal of fuel to execute a violent maneuver (unlikely in light of the fuel constraints, but technically possible). The most effective means of “destroying” a satellite is the Kinetic Energy Weapon (KEW). KEWs rely on relative velocity and mass to do damage. Basically, it means that the KEW must hit the target satellite. Radar guidance is one method for increasing the precision of the weapon, or any other self-guidance system, but these methods start adding a lot of cost to the already staggering expense of building and launching the orbital weapon or spacecraft to begin with.
The answer of course lies in “area-effect” KEWs. The shotgun effect. If a target satellite is zipping along at 20,000 KPH (a modest speed for space travel), firing a shotgun in the opposite direction from fairly close in front of it would have a devastating effect. Each individual shotgun pellet is a fairly insignificant mass, but the pellets are traveling at 100 meters per second (360,000 KPH) and run head on into a satellite with a mass of 200 kilograms traveling at 20,000 KPH (around 6 meters per second). The satellite would be pretty thoroughly shredded by the impact and the subsequent heating from the friction of the impact. This satellite could reasonably be considered “killed”, since it won’t be doing its designed task in its current state and the change in velocity from the impact (known as “delta v”) would doubtless end up dropping the satellite into a spiraling orbit that results in its eventual destruction during re-entry.
The big problem is how to get the shotgun in front of the target close enough to do this kind of damage. If the shotgun is too far away, the odds against successful impact increase exponentially with distance. In layman’s terms, every meter of distance between the target and the shotgun doubles the chances that the target will be undamaged (this is a rough approximation, used only for purposes of this post). Remember where I mentioned that satellites are hard to hit? Imagine this:
The satellite is zipping along at 6 meters/second. Your killsat is several kilometers ahead of the target, in an orbit two kilometers higher. These orbits are going to be in exactly the same orbital plane for purposes of keeping this example simple (meaning that at any given point in either satellite’s path, they will be covering the exact same territory on the planet beneath). So, your killsat aims directly at the target satellite and fires a shotgun at it. Any duck hunter could tell you what happens next- your shotgun blast misses the target by several kilometers. We’ll assume that the onboard computer has figured out the intercept problem and fires well AHEAD of the target (this is called “leading the target”), so that the pellets will arrive at the target’s orbit WHILE THE TARGET IS THERE. Success, right? Not necessarily. The pellets will spread as they leave the barrel of the weapon. As they travel the several kilometers toward the target, they spread farther and farther apart. Every meter of distance doubles the chances for a miss. The odds of actually hitting the target from that range are pretty slim.
So what is the answer? The weapon system most likely to ensure success would be a radar-guided missile with a shaped-charge fragmentation warhead. Radar from the killsat would track the target, compare orbits, and launch the missile into an interception orbit. Once the missile was in position in an imaginary cone no more than 45 degrees in front of the target’s projected orbit, it would explode. The shaped charge of the missile would direct most of the shrapnel at a high rate of speed into the projected orbit of the target. We get the shotgun effect, the target is extremely likely to be damaged beyond recovery, and will likely drift out of its original orbit.
Beam weapons can also “kill” satellites- if they are fired from outside the earth’s atmosphere. Here there is a lot less worry about accuracy, since the beams are by definition traveling at C (light speed- roughly 300,000 kilometers/second), and the target is unlikely to have traveled far between firing and impact (especially in planetary orbit). The problem with beam weapons is that they are unlikely to destroy the target. It’s likely that the laser would heat the satellite up, melt a hole in the hull, or damage the electronics onboard, but the bird would almost certainly remain in orbit. This brings me to the difference between “mission kill” and “destroy”.
We’ve already discussed destruction, so I will focus on “mission kill”. This is a military term meaning that the target is not “destroyed”, but it is incapable of performing its mission. Even if a KEW fails to reduce the target satellite to shredded metal, the impact friction and change in delta v are likely to cause a “mission kill”, because the satellite would be unlikely to be of much value to anyone afterwards. It would not take much of a change in delta v to change a satellite’s orbit enough to make it useless for its owners.
Lasers are good weapons to execute a “mission kill” on a target satellite. If the laser is powerful enough, it could do extensive damage in a few microseconds to the hull, solar screens, antennae, or sensors on the target satellite. The lower the laser’s energy level, the longer the contact with the target must be to do significant damage. Even relatively low-powered lasers (class III) could “blind” a satellite by creating an electromagnetic (EM) field around the target, or overloading the sensors with heat or EM energy.
X-ray lasers, Gamma-ray lasers, and Masers (Microwave Amplified by Sustained Emission of Radiation) are all examples of high-energy beam weapons with enormous potential to damage any target they hit. The problem with such high-energy weapons is the energy requirement. It takes the equivalent of a tactical nuclear bomb to generate enough energy in the extremely short time required to generate these beams. This is essentially what the US Government was looking at for the SDI program.
Put a small nuclear weapon into a casing with an extremely refractive lining. This lining is pierced by the laser emission tubes. When a target is detected, the entire assembly is turned to point toward the target, then the nuke within goes off. For a few microseconds, the nuclear explosion is contained, and the energy is channeled into the laser emitters. These tubes send out X-ray laser beams toward the target. The highly energetic beams penetrate the target (unless it is shielded by thick metal of one sort or another- in which case the beams melt everything) and burn out every electrical circuit onboard. Fuel tanks would rupture or explode from the heat of the beams’ passage. This would be more than enough to “mission kill” any satellite made with modern technology. It would also be enough to do the same for missile warheads.
There are a couple of problems with these. First is the fact that they are one-use weapons. One shot is all you get, because the weapon is destroyed as it fires. Another problem is the fact that nuclear weapons are dangerous. A weapon that would destroy a city on the planet has a lot of potential to create havoc in space. It also creates an Electro-Magnetic Pulse (EMP). A sphere of intense EM energy is released by the explosion, which reacts with and overloads any EM fields it encounters (this effect decreases with distance, of course). Active electronic components are destroyed by en EMP. This will affect the satellite or spacecraft employing the weapon as well as anyone else in the area.
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http://users.commkey.net/Braeunig/space/orbmech.htm
http://liftoff.msfc.nasa.gov/RealTime/JTrack/
Types Of Orbits
For a spacecraft to achieve earth orbit, it must be launched to an elevation above the Earth's atmosphere and accelerated to orbital velocity. The most energy efficient orbit, that is one that requires the least amount of propellant, is a direct low inclination orbit. To achieve such an orbit, a spacecraft is launched in an eastward direction from a site near the Earth's equator. The advantage being that the rotational speed of the Earth contributes to the spacecraft's final orbital speed. At the United States' launch site in Cape Canaveral (28.5 degrees north latitude) a due east launch results in a "free ride" of 915 mph (1,470 kph). Launching a spacecraft in a direction other than east, or from a site far from the equator, results in an orbit of higher inclination. High inclination orbits are less able to take advantage of the initial speed provided by the Earth's rotation, thus the launch vehicle must provide a greater part, or all, of the energy required to attain orbital velocity. Although high inclination orbits are less energy efficient, they do have advantages over equatorial orbits for certain applications. Below we describe several types of orbits and the advantages of each:
Geosynchronous orbits, also called geostationary orbits (GEO), are circular, low inclination orbits around the Earth having a period of 24 hours. A spacecraft in a geosynchronous orbit appears to hang motionless above one position on the Earth's surface. For this reason, they are ideal for some types of communication and meteorological satellites. To attain geosynchronous orbit, a spacecraft is first launched into an elliptical orbit with an apogee of 22,240 miles (35,790 km) called a geostationary transfer orbit (GTO). The orbit is then circularized by firing the spacecraft's engine at apogee.
Polar orbits (PO) are orbits with an inclination of 90 degrees. Polar orbits are useful for satellites that carry out mapping and/or surveillance operations because as the planet rotates the spacecraft has access to virtually every point on the planet's surface.
Walking orbits: An orbiting satellite is subjected to a great many gravitational influences. First, planets are not perfectly spherical and they have slightly uneven mass distribution. These fluctuations have an effect on a spacecraft's trajectory. Also, the sun, moon, and planets contribute a gravitational influence on an orbiting satellite. With proper planning it is possible to design an orbit which takes advantage of these influences to induce a precession in the satellite's orbital plane. The resulting orbit is called a walking orbit, or precessing orbit.
Sun synchronous orbits (SSO) are walking orbits whose orbital plane precesses with the same period as the planet's solar orbit period. In such an orbit, a satellite crosses periapsis at about the same local time every orbit. This is useful if a satellite is carrying instruments which depend on a certain angle of solar illumination on the planet's surface. In order to maintain an exact synchronous timing, it may be necessary to conduct occasional propulsive maneuvers to adjust the orbit.
Hohmann transfer orbits are interplanetary trajectories whose advantage is that they consume the least possible amount of propellant. A Hohmann transfer orbit to an outer planet, such as Mars, is achieved by launching a spacecraft and accelerating it in the direction of Earth's revolution around the sun until it breaks free of the Earth's gravity and reaches a velocity which places it in a sun orbit with an aphelion equal to the orbit of the outer planet. Upon reaching its destination, the spacecraft must decelerate so that the planet's gravity can capture it into a planetary orbit.
To send a spacecraft to an inner planet, such as Venus, the spacecraft is launched and accelerated in the direction opposite of Earth's revolution around the sun (i.e. decelerated) until in achieves a sun orbit with a perihelion equal to the orbit of the inner planet. It should be noted that the spacecraft continues to move in the same direction as Earth, only more slowly.
To reach a planet requires that the spacecraft be inserted into an interplanetary trajectory at the correct time so that the spacecraft arrives at the planet's orbit when the planet will be at the point where the spacecraft will intercept it. This task is comparable to a quarterback "leading" his receiver so that the football and receiver arrive at the same point at the same time. The interval of time in which a spacecraft must be launched in order to complete its mission is called a launch window.
Newton's Laws of Motion and Universal Gravitation
Newton's laws of motion describe the relationship between the motion of a particle and the forces acting on it.
The first law states that if no forces are acting, a body at rest will remain at rest, and a body in motion will remain in motion in a straight line. Thus, if no forces are acting, the velocity (both magnitude and direction) will remain constant.
The second law tells us that if a force is applied there will be a change in velocity, i.e. an acceleration, proportional to the magnitude of the force and in the direction in which the force is applied.
Motions of Planets and Satellites
Through a lifelong study of the motions of bodies in the solar system, Johannes Kepler (1571-1630) was able to derive three basic laws known as Kepler's laws of planetary motion . Using the data compiled by his mentor Tycho Brahe (1546-1601), Kepler found the following regularities after years of laborious calculations:
1. All planets move in elliptical orbits with the sun at one focus.
2. A line joining any planet to the sun sweeps out equal areas in equal times.
3. The square of the period of any planet about the sun is proportional to the cube of the planet's mean distance from the sun.
These laws can be deduced from Newton's laws of motion and law of universal gravitation. Indeed, Newton used Kepler's work as basic information in the formulation of his gravitational theory.
As Kepler pointed out, all planets move in elliptical orbits, however, we can learn much about planetary motion by considering the special case of circular orbits. We shall neglect the forces between planets, considering only a planet's interaction with the sun. These considerations apply equally well to the motion of a satellite about a planet.
Launch of a Space Vehicle
The launch of a satellite or space vehicle consists of a period of powered flight during which the vehicle is lifted above the earth's atmosphere and accelerated to orbital velocity by a rocket, or launch vehicle. Powered flight concludes at burnout of the rocket's last stage at which time the vehicle begins its free flight. During free flight the space vehicle is assumed to be subjected only to the gravitational pull of the earth. If the vehicle moves far from the earth, its trajectory may be affected by the gravitational influence of the sun, moon, or another planet.
Escape Velocity
We know that if we throw a ball up from the surface of the earth, it will rise for a while and then return. If we give it a larger initial velocity, it will rise higher and then return. There is a velocity, called the escape velocity, Vesc, such that if the ball is launched with an initial velocity greater than Vesc, it will rise and never return. We must give the particle enough kinetic energy to overcome all of the negative gravitational potential energy.
Thrust
Thrust is the force that propels a rocket or spacecraft. In this section we will take a look at how the application of thrust affects the orbit of a space vehicle.
A space vehicle in orbit experiences the sensation of weightlessness because the outward force of centrifugal acceleration perfectly balances the inward gravitational pull of the earth. By applying thrust, the space vehicle's velocity can be increased or decreased. If velocity is increased the outward centrifugal force also increases which "pulls" the vehicle to a higher orbit. Decreasing velocity lessens the centrifugal force and gravity "pulls" the vehicle to a lower orbit. Such altitude changes do not alter the inclination of the orbit, they merely reposition the vehicle within the same orbital plane. Applying thrust at right angles to the orbital plane modifies the inclination. These maneuvers, called plane changes, burn considerably more propellant than altitude changes.
For a spacecraft to perform an altitude change, two engine burns are required. To change to a higher orbit, the spacecraft fires its engine to increase velocity, thus placing it in an elliptical orbit with an apoapsis equal to the new altitude. When the spacecraft reaches apoapsis, a second burn is performed to once again increase velocity, thereby placing the vehicle in a circular orbit. For a spacecraft to change to a lower orbit, the procedure is reversed. The craft fires its engine in the direction of travel to decrease velocity, thus dropping the spacecraft into an elliptical orbit with a periapsis equal to the new altitude. When reaching periapsis the engine is fired to decrease velocity further, thereby circularizing the orbit.
When propulsive maneuvers are used to alter the orbit of a space vehicle, engineers calculate the magnitude of the velocity change required to achieve the desired alteration. This change in velocity is called delta v (v).
Drag
Drag is the resistance offered by a gas or liquid to a body moving through it. A spacecraft is subjected to drag forces when moving through a planet's atmosphere. This drag is greatest during launch and reentry, however, even a space vehicle in low earth orbit experiences some drag as it moves through the earth's tenuous upper atmosphere. In time, the action of air drag on a space vehicle will cause it to spiral back into the atmosphere, eventually to disintegrate or burn up. If a space vehicle comes within 80 to 100 miles of the earth's surface, air drag will bring it down in a few days, with final disintegration occurring at an altitude of about 50 miles. This deterioration of a spacecraft's orbit is called decay.