1. Theory

2. Implementation

3. Spacecraft using Reaction wheel
     Beresheet 

4. Failures and mission impact
     Hubble    Hayabusa    Kepler    Dawn  

5. See also

6. References

7. External links

A reaction wheel (RW) is a type of flywheel used primarily by spacecraft for three axis attitude control, which doesn't require rockets or external applicators of torque. They provide a high pointing accuracy,^[1]{{rp|362}} and are particularly useful when the spacecraft must be rotated by very small amounts, such as keeping a telescope pointed at a star.

A reaction wheel is sometimes operated as (and referred to as) a momentum wheel, by operating it at a constant (or near-constant) rotation speed, in order to imbue a satellite with a large amount of stored angular momentum. Doing so alters the spacecraft's rotational dynamics so that disturbance torques perpendicular to one axis of the satellite (the axis parallel to the wheel's spin axis) do not result directly in spacecraft angular motion about the same axis as the disturbance torque; instead, they result in (generally smaller) angular motion (precession) of that spacecraft axis about a perpendicular axis. This has the effect of tending to stabilize that spacecraft axis to point in a nearly-fixed direction,^[1]{{rp|362}} allowing for a less-complicated attitude control system. Satellites using this "momentum-bias" stabilization approach include SCISAT-1; by orienting the momentum wheel's axis to be parallel to the orbit-normal vector, this satellite is in a "pitch momentum bias" configuration.

A control moment gyroscope (CMG) is a related but different type of attitude actuator, generally consisting of a momentum wheel mounted in a one-axis or two-axis gimbal.^[1]{{rp|362}} When mounted to a rigid spacecraft, applying a constant torque to the wheel using one of the gimbal motors causes the spacecraft to develop a constant angular velocity about a perpendicular axis, thus allowing control of the spacecraft's pointing direction. CMGs are generally able to produce larger sustained torques than RWs with less motor heating, and are preferentially used in larger and/or more-agile spacecraft, including Skylab, Mir, and the International Space Station.

Theory

Reaction wheels are used to control the attitude of a satellite without the use of thrusters, which reduces the mass fraction needed for fuel.

They work by equipping the spacecraft with an electric motor attached to a flywheel which, when its rotation speed is changed, causes the spacecraft to begin to counter-rotate proportionately through conservation of angular momentum.^[2] Reaction wheels can rotate a spacecraft only around its center of mass (see torque); they are not capable of moving the spacecraft from one place to another (see translational force).

Implementation

For three axis control, reaction wheels must be mounted along at least three directions, with extra wheels providing additional redundancy to the attitude control system. A redundant mounting configuration could consist of four wheels along tetrahedral axes,^[3] or a spare wheel carried in addition to a three axis configuration.^[1]{{rp|369}} Changes in speed (in either direction) are controlled electronically by computer. The strength of the materials used in a reaction wheel determine the speed at which the wheel would come apart, and therefore how much angular momentum it can store.

Since the reaction wheel is a small fraction of the spacecraft's total mass, easily controlled, temporary changes in its speed result in small changes in angle. The wheels therefore permit very precise changes in a spacecraft's attitude. For this reason, reaction wheels are often used to aim spacecraft carrying cameras or telescopes.

Over time, reaction wheels may build up enough stored momentum to exceed the maximum speed of the wheel, called saturation, which will need to be cancelled. Designers therefore supplement reaction wheel systems with other attitude control mechanisms. In the presence of a magnetic field (as in low Earth orbit), a spacecraft can employ magnetorquers (better known as torque rods) to transfer angular momentum to the Earth through its planetary magnetic field.^[1]{{rp|368}} In the absence of a magnetic field, the most efficient practice is to use either high-efficiency attitude jets such as ion thrusters, or small, lightweight solar sails placed in locations away from the spacecraft's center of mass, such as on solar cell arrays or projecting masts.

Spacecraft using Reaction wheel

Beresheet

Beresheet was launched on a Falcon 9 rocket on 22 February 2019 1:45 UTC ^[4], with the goal of landing on the moon. Beresheet uses the Low-energy transfer technique in order to save fuel. Since its fourth maneuver ^[5] in its elliptical orbit, in order to prevent shakes due to the liquid fuel that went small, there was a need to use a reaction wheel.

Failures and mission impact

The failure of one or more reaction wheels can cause a spacecraft to lose its ability to maintain attitude (orientation) and thus potentially cause a mission failure. Recent studies^[6] conclude that these failures can be correlated with space weather effects.

Hubble

Two servicing missions to the Hubble Space Telescope have replaced a reaction wheel. In February 1997, the Second Servicing Mission (STS-82) replaced one^[7] after 'electrical anomalies', rather than any mechanical problem.^[8] Study of the returned mechanism provided a rare opportunity to study equipment that had undergone long-term service (7 years) in space, particularly for the effects of vacuum on lubricants. The lubricating compound was found to be in 'excellent condition'.^[8] In 2002, Servicing Mission 3B (STS-109), astronauts from the shuttle Columbia replaced another reaction wheel.^[7] Neither of these wheels had failed and Hubble was designed with four redundant wheels, and maintained pointing ability so long as three were functional.^[9]

Hayabusa

In 2004, during the mission of the Hayabusa spacecraft, an X-axis reaction wheel failed. The Y-axis wheel failed in 2005, causing the craft to rely on chemical thrusters to maintain attitude control.^[10]

Kepler

From July 2012 to May 11, 2013, two out of the four reaction wheels in the Kepler telescope failed. This loss severely hampered Kepler{{'s}} ability to maintain a sufficiently precise orientation to continue its original mission.^[11] On August 15, 2013, engineers concluded that Kepler's reaction wheels cannot be recovered and that planet searching using the transit method (measuring changes in star brightness caused by orbiting planets) could not continue.^{[12][13][14][15]} Although the failed reaction wheels still function, they are experiencing friction exceeding acceptable levels, and consequently hindering the ability of the telescope to properly orient itself. The Kepler telescope was returned to its "point rest state", a stable configuration that uses small amounts of thruster fuel to compensate for the failed reaction wheels, while the Kepler team considered alternative uses for Kepler that do not require the extreme accuracy in its orientation as needed by the original mission.^[16] On May 16, 2014, NASA extended the Kepler mission to a new mission named K2, which uses Kepler differently, but allows it to continue searching for exoplanets.^[17] On October 30, 2018, NASA announced the end of the Kepler mission after it was determined that the fuel supply had been exhausted.^[18]

Dawn

Dawn had excess friction in one reaction wheel in June 2010, and it was originally scheduled to depart Vesta and begin its two and a half year journey to Ceres on August 26, 2012.^[25] However, a problem with another of the spacecraft's reaction wheels forced Dawn to briefly delay its departure from Vesta's gravity until September 5, 2012, and it planned to use thruster jets instead of the reaction wheels during the three-year journey to Ceres.^[19] The loss of the reaction wheels limited the camera observations on the approach to Ceres.

See also

• Reaction control system
• Spacecraft propulsion
• ROSAT, a satellite lost when limitations in its control envelope were exceeded
• UTC Aerospace Systems, the owner of Ithaco Space Systems, Inc., which built the ill-fated reaction wheels for (among others) the Kepler, Dawn and Hayabusa spacecraft

References

External links

• {{cite web |url=http://digitalcommons.usu.edu/cgi/viewcontent.cgi?filename=0&article=1496&context=smallsat&type=additional |format=PDF|last=Sinclair |first=Doug |author2=Grant, C. Cordell |author3=Zee, Robert E. |title=Enabling Reaction Wheel Technology for High Performance Nanosatellite Attitude Control |date=2007}}
• {{cite web |url=http://scienceworld.wolfram.com/physics/ReactionWheel.html|title=Reaction Wheel at Wolfram Research|date=June 2008}}
• {{cite web |url=https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20110015369_2011016130.pdf|format=PDF|last=Markley |first=F. Landis |author2=Reid G. Reynolds |author3=Frank X. Liu |author4= Kenneth L. Lebsock |title=Maximum Torque and Momentum Envelopes for Reaction Wheel Arrays |date=2009}}

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