ArticleslgStudy

science

Momentum exchange tether

Momentum exchange tether is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Momentum exchange tether rather than just read about it. In short: A momentum exchange tether is a kind of space tether that could theoretically be used as a launch system, or to change spacecraft orbits. Momentum exchange tethers create a centripetal force on the end-masses of the system causing the object to experience the pseudo-force known as centrifugal force.

Momentum exchange tether — main illustration
Momentum exchange tether — illustration

Key takeaways

  • Momentum exchange tether belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Momentum exchange tether to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Momentum exchange tether from memory before moving on to harder problems.

Reference excerpt

A momentum exchange tether is a kind of space tether that could theoretically be used as a launch system, or to change spacecraft orbits. Momentum exchange tethers create a centripetal force on the end-masses of the system causing the object to experience the pseudo-force known as centrifugal force. While the tether system rotates, the objects on either end of the tether will experience continuous acceleration; the magnitude of the acceleration depends on the length of the tether and the rotation rate. Momentum exchange occurs when an end body is released during the rotation. The transfer of momentum to the released object will cause the rotating tether to lose energy, and thus lose velocity and altitude. However, using electrodynamic tether thrusting, or ion propulsion the system can then re-boost itself with little or no expenditure of consumable reaction mass. A non-rotating tether is a rotating tether that rotates exactly once per orbit so that it always has a vertical orientation relative to the parent body. A spacecraft arriving at the lower end of this tether, or departing from the upper end, will take momentum from the tether, while a spacecraft departing from the lower end of the tether, or arriving at the upper end, will add momentum to the tether. In some cases, momentum exchange systems are intended to run as balanced transportation schemes where an arriving spacecraft or payload is exchanged with one leaving with the same speed and mass, and then no net change in momentum or angular momentum occurs.

Tether systems

Tidal stabilization

Gravity-gradient stabilization, also called "gravity stabilization" and "tidal stabilization", is a simple and reliable method for controlling the attitude of a satellite that requires no electronic control systems, rocket motors or propellant. This type of attitude control tether has a small mass on one end, and a satellite on the other. Tidal forces stretch the tether between the two masses. There are two ways of explaining tidal forces. In one, the upper end mass of the system is moving faster than orbital velocity for its altitude, so centrifugal force makes it want to move further away from the planet it is orbiting. At the same time, the lower end mass of the system is moving at less than orbital speed for its altitude, so it wants to move closer to the planet. The end result is that the tether is under constant tension and wants to hang in a vertical orientation. Simple satellites have often been stabilized this way; either with tethers, or with how the mass is distributed within the satellite. As with any freely hanging object, it can be disturbed and start to swing. Since there is no atmospheric drag in space to slow the swing, a small bottle of fluid with baffles may be mounted in the spacecraft to damp the pendulum vibrations via the viscous friction of the fluid.

Electrodynamic tethers

In a strong planetary magnetic field such as around the Earth, a conducting tether can be configured as an electrodynamic tether. This can either be used as a dynamo to generate power for the satellite at the cost of slowing its orbital velocity, or it can be used to increase the orbital velocity of the satellite by putting power into the tether from the satellite's power system. Thus the tether can be used to either accelerate or to slow an orbiting spacecraft without using any rocket propellant. When using this technique with a rotating tether, the current through the tether must alternate in phase with the rotation rate of the tether in order to produce either a consistent slowing force or a consistent accelerating force. Whether slowing or accelerating the satellite, the electrodynamic tether pushes against the planet's magnetic field, and thus the momentum gained or lost ultimately comes from the planet.

Sky-hooks

A sky-hook is a theoretical class of orbiting tether propulsion intended to lift payloads to high altitudes and speeds. Simple sky-hooks are essentially partial elevators, extending some distance below a base-station orbit and allowing orbital insertion by lifting the cargo. Most proposals spin the tether so that its angular momentum also provides energy to the cargo, speeding it up to orbital velocity or beyond while slowing the tether. Some form of propulsion is then applied to the tether to regain the angular momentum.

Bolo A Bolo, or rotating tether, is a tether that rotates more than once per orbit and whose endpoints have a significant tip speed (~ 1–3 km/s or 2,200–6,700 mph or 3,600–10,800 km/h). The maximum speed of the endpoints is limited by the strength of the cable material, the taper, and the safety factor it is designed for. The purpose of the Bolo is to either speed up, or slow down, a spacecraft that docks with it without using any of the spacecraft's on-board propellant and to change the spacecraft's orbital flight path. Effectively, the Bolo acts as a reusable upper stage for any spacecraft that docks with it. The momentum imparted to the spacecraft by the Bolo is not free. In the same way that the Bolo changes the spacecraft's momentum and direction of travel, the Bolo's orbital momentum and rotational momentum is also changed, and this costs energy that must be replaced. The idea is that the replacement energy would come from a more efficient and lower cost source than a chemical rocket motor. Two possible lower cost sources for this replacement energy are an ion propulsion system, or an electrodynamic tether propulsion system that would be part of the Bolo. An essentially free source of replacement energy is momentum gathered from payloads to be accelerated in the other direction, suggesting that the need for adding energy from propulsion systems will be quite minimal with balanced, two-way, space commerce.

Rotovator

… excerpt ends here. Continue reading the full article.

Illustrations

Momentum exchange tether: Electrons flow through the conductive structure of the tether to the power system interface, where it supplies power to an associated load, not shown. (Source: U.S. patent 6,116,544, "Electrodynamic Tether And Method of Use".)
Electrons flow through the conductive structure of the tether to the power system interface, where it supplies power to an associated load, not shown. (Source: U.S. patent 6,116,544, "Electrodynamic Tether And Method of Use".)
Momentum exchange tether: If the orbital velocity and the tether rotation rate are synchronized, in the rotovator concept the tether tip moves in a cycloid, and at the lowest point is momentarily stationary with respect to the ground, where it can "hook" a payload and swing it into orbit.)
If the orbital velocity and the tether rotation rate are synchronized, in the rotovator concept the tether tip moves in a cycloid, and at the lowest point is momentarily stationary with respect to the ground, where it can "hook" a payload and swing it into orbit.)
Momentum exchange tether: Rotating Skyhook used for Earth-to-Earth travel
Rotating Skyhook used for Earth-to-Earth travel
Momentum exchange tether: Non-rotating Sky-hook first proposed by E. Sarmont in 1990
Non-rotating Sky-hook first proposed by E. Sarmont in 1990
Momentum exchange tether: Potential energy in the Earth–Moon system. Because the Moon has higher potential energy, tethers can work together to pick an object off the Moon (the tiny dimple on the right), and place it closer to the Earth in LEO, taking essentially no propellant and even generating energy while doing so.
Potential energy in the Earth–Moon system. Because the Moon has higher potential energy, tethers can work together to pick an object off the Moon (the tiny dimple on the right), and place it closer to the Earth in LEO, taking essentially no propellant and even generating energy while doing so.

Worked examples

Example 1 — a first encounter with Momentum exchange tether

Start with the simplest possible case. Write down what Momentum exchange tether claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Momentum exchange tether before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Momentum exchange tether ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Momentum exchange tether

In research
Momentum exchange tether appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Momentum exchange tether in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Momentum exchange tether is common in secondary-school and first-year university syllabi. It links to neighbouring topics Propellantless propulsion, Space elevator, Spaceflight concepts, so understanding it makes those chapters shorter.
In everyday life
Look for Momentum exchange tether outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Momentum exchange tether in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Momentum exchange tether means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Momentum exchange tether out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Momentum exchange tether in simple terms?

A momentum exchange tether is a kind of space tether that could theoretically be used as a launch system, or to change spacecraft orbits. Momentum exchange tethers create a centripetal force on the end-masses of the system causing the object to experience the pseudo-force known as centrifugal force.

Why does Momentum exchange tether matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Momentum exchange tether?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Momentum exchange tether.

Tags

  • Propellantless propulsion
  • Space elevator
  • Spaceflight concepts

Keep exploring