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Spacecraft propulsion

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A rocket engine test at NASAEnlarge

A rocket engine test at NASA

There are many different methods of spacecraft propulsion used to change the velocity of spacecraft and artificial satellites. Each method has drawbacks and advantages, and spacecraft propulsion is an active area of research. Most spacecraft today are propelled by heating the reaction mass and allowing it to flow out the back of the vehicle. This sort of engine is called a rocket engine.

Table of contents
1 The necessity for propulsion systems
2 Effectiveness of propulsion systems
3 Propulsion methods
4 Table of methods and their efficiencies
5 Further information

The necessity for propulsion systems

Artificial satellites must be launched up to orbit, and once there they must accelerate to circularize their orbit. Once in the desired orbit, they often need some form of attitude control so that they are correctly pointed with respect to the Earth, the Sun, and possibly some astronomical object of interest. They are also subject to drag from the thin atmosphere, so that to stay in orbit for a long period of time some form of propulsion is occasionally necessary to make small corrections. Many satellites need to be moved from one orbit to another from time to time, and this also requires propulsion. When a satellite has exhausted its ability to adjust its orbit, its useful life is over.

Spacecraft designed to travel further also need propulsion methods. They need to be launched out of the Earth's atmosphere just as do satellites. Once there, they need to leave orbit and move around.

For interplanetary travel, a spacecraft must use its engines to leave Earth orbit. Once it has done so, it must somehow make its way to its destination. Current interplanetary spacecraft do this with a series of short-term orbital adjustments. In between these adjustments, the spacecraft simply falls freely along its orbit. The simplest efficient way to do this is with a Hohmann transfer orbit: the spacecraft begins in a roughly circular orbit around the Sun. A short period of thrust in the direction of motion accelerates or decelerates the spacecraft into an elliptical orbit around the Sun which is tangential to its previous orbit and also to the orbit of its destination. The spacecraft falls freely along this elliptical orbit until it reaches its destination, where another short period of thrust accelerates or decelerates it to match the orbit of its destination.

Artist's conception of a solar sailEnlarge

Artist's conception of a solar sail

Some spacecraft propulsion methods such as solar sails provide very low but inexhaustible thrust; an interplanetary vehicle using one of these methods would follow a rather different trajectory, either constantly thrusting against its direction of motion in order to decrease its distance from the Sun or constantly thrusting along its direction of motion to increase its distance from the Sun.

Spacecraft for interstellar travel also need propulsion methods. No such spacecraft has yet been built, but many designs have been discussed. Since interstellar distances are very great, a tremendous velocity is needed to get a spacecraft to its destination in a reasonable amount of time. Acquiring such a velocity on launch and getting rid of it on arrival will be a formidable challenge for spacecraft designers.

Effectiveness of propulsion systems

When in space, the purpose of a propulsion system is to change the velocity v of a spacecraft. Since this is more difficult for more massive spacecraft, designers generally discuss momentum, mv. The amount of change in momentum is called impulse. So the goal of a propulsion method in space is to create an impulse.

When launching a spacecraft from the Earth, a propulsion method must first overcome the Earth's gravitational pull before it can begin accelerating.

The rate of change of velocity is called acceleration, and the rate of change of momentum is called force. To reach a given velocity, one can apply a small acceleration over a long period of time, or one can apply a large acceleration over a short time. Similarly, one can achieve a given impulse with a large force over a short time or a small force over a long time. This means that for maneuvering in space, a propulsion method that produces tiny accelerations but runs for a long time can produce the same impulse as a propulsion method that produces large accelerations for a short time. When launching from a planet, tiny accelerations cannot overcome the planet's gravitational pull and so cannot be used.

The law of conservation of momentum means that in order for a propulsion method to change the momentum of a space craft it must change the momentum of something else as well. A few designs take advantage of things like magnetic fields or light pressure in order to change the spacecraft's momentum, but in free space the rocket must bring along some mass to accelerate away in order to push itself forward. Such mass is called reaction mass.

An ion engine testEnlarge

An ion engine test

In order for a rocket to work, it needs two things: reaction mass and energy. The impulse provided by launching a particle of reaction mass having mass m at velocity v is mv. But this particle has kinetic energy mv2/2, which must come from somewhere. In a conventional solid fuel rocket, the fuel is burned, providing the energy, and the reaction products are allowed to flow out the back, providing the reaction mass. In an ion thruster, electricity is used to accelerate ions out the back. Here some other source must provide the electrical energy (perhaps a solar panel or a nuclear reactor) while the ions provide the reaction mass.

When discussing the efficiency of a propulsion system, designers often focus on the reaction mass. After all, energy can in principle be produced without much difficulty, but the reaction mass must be carried along with the rocket and irretrievably consumed when used. A way of measuring the amount of impulse that can be obtained from a fixed amount of reaction mass is the specific impulse. This is the impulse per unit mass; examining the formula for impulse, it turns out that this is in fact the exhaust velocity.

A rocket with a high exhaust velocity can achieve the same impulse with less reaction mass. However, the kinetic energy is proportional to the square of the exhaust velocity, so that more efficient engines require more energy to run.

A second problem is that if the engine is to provide a large amount of thrust, that is, a large amount of impulse per second, it must also provide a large amount of energy per second. So highly efficient engines require enormous amounts of energy per second to produce high thrusts. As a result, most high-efficiency engine designs also provide very low thrust.

Propulsion methods

The many different propulsion methods can be classified based on their means of accelerating the reaction mass.

Rockets

A test firing of the Space Shuttle Main EngineEnlarge

A test firing of the Space Shuttle Main Engine

A rocket engine accelerates its reaction mass by heating it, giving hot high-pressure gas or plasma. The reaction mass is then allowed to escape from the rear of the vehicle by passing through a de Laval nozzle, which dramatically accelerates the reaction mass, converting thermal energy into kinetic energy. It is this nozzle which gives a rocket engine its characteristic shape.

Rockets emitting gases are limited by the fact that their exhaust temperature cannot be so high that the nozzle and reaction chamber are damaged; most large rockets have elaborate cooling systems to prevent damage to either component. Rockets emitting plasma can potentially carry out reactions inside a magnetic bottle and release the plasma via a magnetic nozzle, so that no solid matter need come in contact with the plasma. Of course, the machinery to do this is complex.

Rocket engines that could be used in space (all emit gases unless otherwise noted):

When launching a vehicle from the Earth's surface, the atmosphere poses certain problems. For example, the precise shape of the most efficient de Laval nozzle for a rocket depends sharply on the ambient pressure. For this reason, various exotic nozzle designs such as the plug nozzle, the expanding nozzle and the aerospike have been proposed, each having some way to adapt to changing ambient air pressure.

On the other had, certain rocket engines have been proposed that take advantage of the air in some way (as do jet engines):

Electromagnetic acceleration of reaction mass

This test engine accelerates ions using electrostatic forcesEnlarge

This test engine accelerates ions using electrostatic forces

Rather than relying on high temperature and fluid dynamics to accelerate the reaction mass to high speeds, there are a variety of methods that use electrostatic or electromagnetic forces to accelerate the reaction mass directly. Usually the reaction mass is a stream of ions. Such an engine requires electric power to run, and high efficiency engines require large amounts of power to run. For some missions, solar energy may be sufficient, but for others nuclear energy will be necessary; engines drawing their power from a nuclear source are called nuclear electric rockets. With any current source of power, the maximum amount of power that can be generated limits the maximum amount of thrust that can be produced.

Some electromagnetic methods:

The Biefeld-Brown effect is a somewhat exotic electrical effect. In air, a voltage applied across a particular kind of capacitor produces a thrust. There have been claims that this also happens in vacuum due to some sort of coupling between the electromagnetic field and gravity, but recent experiments show no sign of this.

Systems without reaction mass

NASA study of a solar sail. The sail would be half a kilometer wideEnlarge

NASA study of a solar sail. The sail would be half a kilometer wide

The law of conservation of momentum states that any engine which truly uses no reaction mass cannot move the center of mass of a spaceship (changing orientation, on the other hand, is possible). But space is not empty, especially space inside the Solar Systems; there are countless photons sleeting through it, there is a magnetic field, and there is the solar wind. Various propulsion methods try to take advantage of this; since all these things are very diffuse, propulsion structures need to be large.

Space drives that need no (or little) reaction mass:

Launch mechanisms

An electromagnetic catapult on the MoonEnlarge

An electromagnetic catapult on the Moon

The launch of a spacecraft from the surface of a planet into space places special requirements on the methods of propulsion used. Generally speaking high thrust is of vital importance for launch, and many of the propulsion methods above do not provide sufficient thrust to be used in this capacity. Exhaust toxicity or other side effects can also have detrimental effects on the environment the spacecraft is launching from, ruling out other propulsion methods. Currently, only chemical rockets are used for the launch of spacecraft from Earth's surface.

One advantage that spacecraft have in launch is the availability of infrastructure on the ground to assist them. Proposed ground-assisted launch mechanisms include:

Methods requiring new principles of physics

Artist's conception of a warp drive designEnlarge

Artist's conception of a warp drive design

In addition, a variety of hypothetical propulsion techniques have been considered that would require entirely new principles of physics to realize. As such, they are currently highly speculative:

Table of methods and their efficiencies

Below is a summary of some of the more popular, proven technologies, followed by increasingly speculative methods.

Three numbers are shown. The first is the specific impulse: the amount of thrust that can be produced using a unit of fuel. This is the most important characteristic of the propulsion method as it determines the top speed available for the propulsion method.

The second and third are the typical amounts of thrust and the typical burn times of the method. One interesting and somewhat counterinituitive physics result is that outside a gravity well, the total energy provided by a propulsion mechanism is equal to the thrust times the time the thrust is applied. Hence, outside a gravitational potential small amounts of thrust applied over a long period will give the same effect as large amounts of thrust over a short period.

This result does not apply when the object is influenced by gravity.

Propulsion methods
MethodSpecific Impulse (seconds)Thrust (Newtons)Duration
Propulsion methods in current use
Solid rocket100-400103- 107minutes
Hybrid rocket150-420minutes
Monopropellant rocket100-3000.1-100milliseconds - minutes
Momentum wheel (attitude control only)n/a0.001-100indefinite
Bipropellant rocket100-4700.1-107minutes
Tripropellant rocket250-450minutes
Resistojet rocket 200-60010-2-10minutes
Arcjet rocket400-120010-2-10minutes
Hall effect thruster (HET)800-500010-3-10months
Ion thruster1500-800010-3-10months
Field Emission Electric Propulsion (FEEP)10000-1300010-6-10-3weeks
Magnetoplasmadynamic thruster (MPD)2000-10000100weeks
Pulsed plasma thruster (PPT)
Pulsed inductive thruster (PIT)500020months
Nuclear electric rocketAs electric propulsion method used
Tether propulsionN/A1-1012minutes
Currently feasible propulsion methods
Dual mode propulsion rocket
Air-augmented rocket500-600seconds-minutes
Liquid air cycle engine450seconds-minutes
SABRE3000/450minutes
Variable specific impulse magnetoplasma rocket (VASIMR)1000-3000040-1200days - months
Solar thermal rocket700-12001-100weeks
Nuclear thermal rocket900105minutes
Solar sailsN/A9 per km2 (at 1 AU)Indefinite
Mass drivers (for propulsion)3000-?104-108months
Technologies requiring further research
Magnetic sailsN/AIndefiniteIndefinite
Mini-magnetospheric plasma propulsion20,000~1N/kWmonths
Gaseous fission reactor1000-2000103-106
Nuclear pulse propulsion (Orion drive)2000-100,000109-1012 half hour
Antimatter catalyzed nuclear pulse propulsion2000-40,000days-weeks
Nuclear salt-water rocket10,000103-107half hour
Beam-powered propulsionAs propulsion method powered by beam
Nuclear photonic rocket3×10710-5-1years-decades
Biefeld-Brown effect (see also Lifter)N/A0.01-1 (currently)weeks, probably months
Significantly beyond current engineering
Fusion rocket
Bussard ramjet
Antimatter rocket
Redshift rocket

Further information

See also: Rocket, satellite, interplanetary travel, interstellar travel

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