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# Geosynchronous orbit

Animation (not to scale) showing geosynchronous satellite orbiting the Earth.

A geosynchronous orbit (sometimes abbreviated GSO) is an Earth-centered orbit with an orbital period that matches Earth's rotation on its axis, 23 hours, 56 minutes, and 4 seconds (one sidereal day). The synchronization of rotation and orbital period means that, for an observer on Earth's surface, an object in geosynchronous orbit returns to exactly the same position in the sky after a period of one sidereal day. Over the course of a day, the object's position in the sky may remain still or trace out a path, typically in a figure-8 form, whose precise characteristics depend on the orbit's inclination and eccentricity. A circular geosynchronous orbit has a constant altitude of 35,786 km (22,236 mi).[citation needed]

A special case of geosynchronous orbit is the geostationary orbit, which is a circular geosynchronous orbit in Earth's equatorial plane with both inclination and eccentricity equal to 0. A satellite in a geostationary orbit remains in the same position in the sky to observers on the surface.[citation needed]

Communications satellites are often given geostationary or close to geostationary orbits so that the satellite antennas that communicate with them do not have to move, but can be pointed permanently at the fixed location in the sky where the satellite appears.[citation needed]

## History

The geosynchronous orbit was popularised by the science fiction author Arthur C. Clarke, and is thus sometimes called the Clarke Orbit.

In 1929, Herman Potočnik described both geosynchronous orbits in general and the special case of the geostationary Earth orbit in particular as useful orbits for space stations.[1] The first appearance of a geosynchronous orbit in popular literature was in October 1942, in the first Venus Equilateral story by George O. Smith,[2] but Smith did not go into details. British science fiction author Arthur C. Clarke popularised and expanded the concept in a 1945 paper entitled Extra-Terrestrial Relays – Can Rocket Stations Give Worldwide Radio Coverage?, published in Wireless World magazine. Clarke acknowledged the connection in his introduction to The Complete Venus Equilateral.[3][4] The orbit, which Clarke first described as useful for broadcast and relay communications satellites,[4] is sometimes called the Clarke Orbit.[5] Similarly, the collection of artificial satellites in this orbit is known as the Clarke Belt.[6]

Syncom 2: The first functional geosynchronous satellite

In technical terminology, the geosynchronous orbits are often referred to as geostationary if they are roughly over the equator, but the terms are used somewhat interchangeably.[7][8] Specifically, geosynchronous Earth orbit (GEO) may be a synonym for geosynchronous equatorial orbit,[9] or geostationary Earth orbit.[10]

The first geosynchronous satellite was designed by Harold Rosen while he was working at Hughes Aircraft in 1959. Inspired by Sputnik 1, he wanted to use a geostationary (geosynchronous equatorial) satellite to globalise communications. Telecommunications between the US and Europe was then possible between just 136 people at a time, and reliant on high frequency radios and an undersea cable.[11]

Conventional wisdom at the time was that it would require too much rocket power to place a satellite in a geosynchronous orbit and it would not survive long enough to justify the expense,[12] so early efforts were put towards constellations of satellites in low or medium Earth orbit.[13] The first of these were the passive Echo balloon satellites in 1960, followed by Telstar 1 in 1962.[14] Although these projects had difficulties with signal strength and tracking that could be solved through geosynchronous satellites, the concept was seen as impractical, so Hughes often withheld funds and support.[13][11]

By 1961, Rosen and his team had produced a cylindrical prototype with a diameter of 76 centimetres (30 in), height of 38 centimetres (15 in), weighing 11.3 kilograms (25 lb); it was light, and small, enough to be placed into orbit by then-available rocketry, was spin stabilised and used dipole antennas producing a pancake-shaped waveform. [15] In August 1961, they were contracted to begin building the working satellite.[11] They lost Syncom 1 to electronics failure, but Syncom 2 was successfully placed into a geosynchronous orbit in 1963. Although its inclined orbit still required moving antennas, it was able to relay TV transmissions, and allowed for US President John F. Kennedy to phone Nigerian prime minister Abubakar Tafawa Balewa from a ship on August 23, 1963.[13][16]

Today there are hundreds of geosynchronous satellites providing remote sensing, navigation and communications.[11][17]

Although most populated land locations on the planet now have terrestrial communications facilities (microwave, fiber-optic), which often have latency and bandwidth advantages, and telephone access covering 96% of the population and internet access 90% as of 2018,[18] some rural and remote areas in developed countries are still reliant on satellite communications.[19][20]

## Types

### Geostationary orbit

The geostationary satellite (green) always remains above the same marked spot on the equator (brown).

A geostationary equatorial orbit (GEO) is a circular geosynchronous orbit in the plane of the Earth's equator with a radius of approximately 42,164 km (26,199 mi) (measured from the center of the Earth).[21]: 156  A satellite in such an orbit is at an altitude of approximately 35,786 km (22,236 mi) above mean sea level. It maintains the same position relative to the Earth's surface. If one could see a satellite in geostationary orbit, it would appear to hover at the same point in the sky, i.e., not exhibit diurnal motion, while the Sun, Moon, and stars would traverse the skies behind it. Such orbits are useful for telecommunications satellites.[22]

A perfectly stable geostationary orbit is an ideal that can only be approximated. In practice the satellite drifts out of this orbit because of perturbations such as the solar wind, radiation pressure, variations in the Earth's gravitational field, and the gravitational effect of the Moon and Sun, and thrusters are used to maintain the orbit in a process known as station-keeping.[21]: 156

Eventually, without the use of thrusters, the orbit will become inclined, oscillating between 0° and 15° every 55 years. At the end of the satellite's lifetime, when fuel approaches depletion, satellite operators may decide to omit these expensive manoeuvres to correct inclination and only control eccentricity. This prolongs the life-time of the satellite as it consumes less fuel over time, but the satellite can then only be used by ground antennas capable of following the N-S movement.[21]: 156

Geostationary satellites will also tend to drift around one of two stable longitudes of 75° and 255° without station keeping.[21]: 157

### Elliptical and inclined geosynchronous orbits

A quasi-zenith satellite orbit

Many objects in geosynchronous orbits have eccentric and/or inclined orbits. Eccentricity makes the orbit elliptical and appear to oscillate E-W in the sky from the viewpoint of a ground station, while inclination tilts the orbit compared to the equator and makes it appear to oscillate N-S from a groundstation. These effects combine to form an analemma (figure-8).[21]: 122

Satellites in elliptical/eccentric orbits must be tracked by steerable ground stations.[21]: 122

#### Tundra orbit

The Tundra orbit is an eccentric Russian geosynchronous orbit, which allows the satellite to spend most of its time dwelling over one high latitude location. It sits at an inclination of 63.4°, which is a frozen orbit, which reduces the need for stationkeeping.[23] At least two satellites are needed to provide continuous coverage over an area.[24] It was used by the Sirius XM Satellite Radio to improve signal strength in the northern US and Canada.[25]

#### Quasi-zenith orbit

The Quasi-Zenith Satellite System (QZSS) is a four-satellite system that operates in a geosynchronous orbit at an inclination of 42° and a 0.075 eccentricity.[26] Each satellite dwells over Japan, allowing signals to reach receivers in urban canyons then passes quickly over Australia.[27]

## Launch

An example of a transition from Geostationary Transfer Orbit (GTO) to Geosynchronous Orbit (GSO).
· .

Geosynchronous satellites are launched to the east into a prograde orbit that matches the rotation rate of the equator. The smallest inclination that a satellite can be launched into is that of the launch site's latitude, so launching the satellite from close to the equator limits the amount of inclination change needed later.[28] Additionally, launching from close to the equator allows the speed of the Earth's rotation to give the satellite a boost. A launch site should have water or deserts to the east, so any failed rockets do not fall on a populated area.[29]

Most launch vehicles place geosynchronous satellites directly into a geosynchronous transfer orbit (GTO), an elliptical orbit with an apogee at GSO height and a low perigee. On-board satellite propulsion is then used to raise the perigee, circularise and reach GSO.[28][30]

Once in a viable geostationary orbit, spacecraft can change their longitudinal position by adjusting their semi-major axis such that the new period is shorter or longer than a sidereal day, in order to effect an apparent "drift" Eastward or Westward, respectively. Once at the desired longitude, the spacecraft's period is restored to geosynchronous.[citation needed]

## Proposed orbits

### Statite proposal

A statite is a hypothetical satellite that uses radiation pressure from the sun against a solar sail to modify its orbit.[31]

It would hold its location over the dark side of the Earth at a latitude of approximately 30 degrees. It would return to the same spot in the sky every 24 hours from an Earth-based viewer's perspective, so be functionally similar to a geosynchronous orbit.[31][32]

### Space elevator

A further form of geosynchronous orbit is the theoretical space elevator. When one end is attached to the ground, for altitudes below the geostationary belt the elevator maintains a shorter orbital period than by gravity alone.[33]

## Retired satellites

A computer-generated image of space debris. Two debris fields are shown: around geosynchronous space and low Earth orbit.

Geosynchronous satellites require some station keeping to keep their position, and once they run out of thruster fuel and are no longer useful they are moved into a higher graveyard orbit. It is not feasible to deorbit geosynchronous satellites as it would take far more fuel than slightly elevating the orbit, and atmospheric drag is negligible, giving GSOs lifetimes of thousands of years.[34]

The retirement process is becoming increasingly regulated and satellites must have a 90% chance of moving over 200 km above the geostationary belt at end of life.[35]

### Space debris

Space debris in geosynchronous orbits typically has a lower collision speed than at LEO since most GSO satellites orbit in the same plane, altitude and speed; however, the presence of satellites in eccentric orbits allows for collisions at up to 4 km/s. Although a collision is comparatively unlikely, GSO satellites have a limited ability to avoid any debris.[36]

Debris less than 10 cm in diameter cannot be seen from the Earth, making it difficult to assess their prevalence.[37]

Despite efforts to reduce risk, spacecraft collisions have occurred. The European Space Agency telecom satellite Olympus-1 was struck by a meteoroid on August 11, 1993 and eventually moved to a graveyard orbit,[38] and in 2006 the Russian Express-AM11 communications satellite was struck by an unknown object and rendered inoperable,[39] although its engineers had enough contact time with the satellite to send it into a graveyard orbit. In 2017 both AMC-9 and Telkom-1 broke apart from an unknown cause.[40][37][41]

## Properties

The orbit of a geosynchronous satellite at an inclination, from the perspective of an off earth observer (ECI) and of an observer rotating around the earth at its spin rate (ECEF).

A geosynchronous orbit has the following properties:

### Period

All geosynchronous orbits have an orbital period equal to exactly one sidereal day.[42] This means that the satellite will return to the same point above the Earth's surface every (sidereal) day, regardless of other orbital properties.[43][21]: 121  This orbital period, T, is directly related to the semi-major axis of the orbit through the formula:

${\displaystyle T=2\pi {\sqrt {a^{3} \over \mu }}}$

where:

a is the length of the orbit's semi-major axis
${\displaystyle \mu }$ is the standard gravitational parameter of the central body[21]: 137

### Inclination

A geosynchronous orbit can have any inclination.

Satellites commonly have an inclination of zero, ensuring that the orbit remains over the equator at all times, making it stationary with respect to latitude from the point of view of a ground observer (and in the ECEF reference frame).[21]: 122

Another popular inclinations is 63.4° for a Tundra orbit, which ensures that the orbit's argument of perigee doesn't change over time.[23]

### Ground track

In the special case of a geostationary orbit, the ground track of a satellite is a single point on the equator. In the general case of a geosynchronous orbit with a non-zero inclination or eccentricity, the ground track is a more or less distorted figure-eight, returning to the same places once per sidereal day.[21]: 122

## References

1. ^ Noordung, Hermann (1929). Das Problem der Befahrung des Weltraums: Der Raketen-Motor (PDF). Berlin: Richard Carl Schmidt & Co. pp. 98–100.
2. ^ "(Korvus's message is sent) to a small, squat building at the outskirts of Northern Landing. It was hurled at the sky. ... It ... arrived at the relay station tired and worn, ... when it reached a space station only five hundred miles above the city of North Landing." Smith, George O. (1976). The Complete Venus Equilateral. New York: Ballantine Books. pp. 3–4. ISBN 978-0-345-28953-7.
3. ^ "It is therefore quite possible that these stories influenced me subconsciously when ... I worked out the principles of synchronous communications satellites ...", McAleer, Neil (1992). Arthur C. Clarke. Contemporary Books. p. 54. ISBN 978-0-809-24324-2.
4. ^ a b Clarke, Arthur C. (October 1945). "Extra-Terrestrial Relays – Can Rocket Stations Give Worldwide Radio Coverage?" (PDF). Wireless World. pp. 305–308. Archived from the original (PDF) on March 18, 2009. Retrieved March 4, 2009.
5. ^ Phillips Davis (ed.). "Basics of Space Flight Section 1 Part 5, Geostationary Orbits". NASA. Retrieved August 25, 2019.
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15. ^ David R. Williams (ed.). "Syncom 2". NASA. Retrieved September 29, 2019.
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20. ^ Tibken, Shara (October 22, 2018). "In farm country, forget broadband. You might not have internet at all. 5G is around the corner, yet pockets of America still can't get basic internet access". CNET. Retrieved August 25, 2019.
21. Wertz, James Richard; Larson, Wiley J. (1999). Larson, Wiley J.; Wertz, James R. (eds.). Space Mission Analysis and Design. Microcosm Press and Kluwer Academic Publishers. Bibcode:1999smad.book.....W. ISBN 978-1-881883-10-4.
22. ^ "Orbits". ESA. October 4, 2018. Retrieved October 1, 2019.
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24. ^ Jenkin, A.B.; McVey, J.P.; Wilson, J.R.; Sorge, M.E. (2017). Tundra Disposal Orbit Study. 7th European Conference on Space Debris. ESA Space Debris Office. Archived from the original on October 2, 2017. Retrieved October 2, 2017.
25. ^ "Sirius Rising: Proton-M Ready to Launch Digital Radio Satellite Into Orbit". AmericaSpace. October 18, 2013. Archived from the original on June 28, 2017. Retrieved July 8, 2017.
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28. ^ a b Farber, Nicholas; Aresini, Andrea; Wauthier, Pascal; Francken, Philippe (September 2007). A general approach to the geostationary transfer orbit mission recovery. 20th International Symposium on Space Flight Dynamics. p. 2.
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30. ^ Davis, Jason (January 17, 2014). "How to get a satellite to geostationary orbit". The Planetary Society. Retrieved October 2, 2019.
31. ^ a b US patent 5183225, Forward, Robert, "Statite: Spacecraft That Utilizes Sight Pressure and Method of Use", published February 2, 1993
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35. ^ EUMETSAT (April 3, 2017). "Where old satellites go to die". phys.org.
36. ^ Stephens, Marric (December 12, 2017). "Space debris threat to geosynchronous satellites has been drastically underestimated". Physics World.
37. ^ a b Henry, Caleb (August 30, 2017). "ExoAnalytic video shows Telkom-1 satellite erupting debris". SpaceNews.com.
38. ^ "The Olympus failure" ESA press release, August 26, 1993. Archived September 11, 2007, at the Wayback Machine
39. ^ "Notification for Express-AM11 satellite users in connection with the spacecraft failure". Russian Satellite Communications Company. April 19, 2006 – via Spaceref.
40. ^ Dunstan, James E. (January 30, 2018). "Do we care about orbital debris at all?". SpaceNews.com.
41. ^ "AMC 9 Satellite Anomaly associated with Energetic Event & sudden Orbit Change – Spaceflight101". spaceflight101.com. June 20, 2017.
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