Information about Molniya Orbit

A Molniya orbit is a type of highly elliptical orbit with an inclination of 63.4 degrees and an orbital period of about 12 hours. Molniya orbits are named after a series of Soviet/Russian Molniya (Russian: "Lightning") communications satellites that have been using this type of orbit since the mid 1960s.

A satellite placed in a Molniya orbit spends most of its time over a designated area of the earth as a result of "apogee dwell". Molniya orbits can be computed for any celestial body for which the dominant effects on a bodies orbiting it are due to:

Properties

Much of the area of the former Soviet Union, and Russia in particular, is located at high latitudes. To broadcast to these latitudes from a geostationary orbit would require considerable power due to the low grazing angles. A polar orbiting satellite is better suited to communications in these regions because it looks directly down on them, but a typical near-circular sun-synchronous orbit would put the satellite over Russia for short periods of time, during which it would move in two directions, north/south and to the west as the Earth turns, making tracking difficult. Likewise, an inclined equatorial orbit could be used to move the satellite northward on one-half of its orbit, but the satellite would pass over the country very quickly, so although tracking could be reduced to the east-west direction using an equatorial mount, a large number of satellites would be required to give constant coverage.

The solution to this problem is to make the orbit highly elliptical. The speed of a satellite in its orbit is a function of the distance from the focus, in this case the center of the Earth. So by making the satellite come close to the Earth during one part of its orbit this area will be passed over quite quickly, while at the other side of the orbit, when it is more distant, it will cover the distance slowly. By orbiting westward, the satellite's speed combined with the Earth rotation makes its location as seen from the ground move only a small amount for an extended period of time.

Due to the Earth's rotation, the apogee point is different for each orbit. In order to eliminate "useless" apogees when the satellite is far enough north but located too far east or west, the orbits are set up with periods that are some integer fraction or multiple of a day, making their apogee point repeatedly appear over the same location on a schedule. The most typical Molniya-type orbits have a period of 12 hours, making them appear over Russia twice a day, for about eight hours. Only three such satellites are needed to give 24 hour coverage. The otherwise similar Tundra orbit has an orbital period of 24 hours.

In general, the oblateness of the earth perturbs the argument of perigee, so that even if the apogee started near the north pole, it would gradually move unless constantly corrected with "station keeping" thruster burns. To avoid this expenditure of fuel, the Molniya orbit uses an inclination of 63.4°, for which these perturbations are zero.

Uses

The primary use of the Molniya orbit was for the communications satellite series of the same name. After two launch failures in 1964, the first successful satellite to use this orbit was Molniya 1-01 launched on August 23, 1965. The early Molniya-1 satellites were used for long-range military communications starting in 1968, but the satellites had a short lifespan and had to be constantly replaced. Its replacement, the Molniya-2, provided both military and civilian broadcasting, and was used to create the Orbita television network, spanning the Soviet Union. These were in turn replaced by the Molniya-3 design. There is some confusion in the existing sources about the naming, with some sources suggesting that all of the satellites on-orbit are of the Molniya-3 type, but referred to as Molniya-1 through -3 depending on their purpose.

The same orbits, with slight adjustments, were also used by some Soviet spy satellites, with the apogee point over the continental United States (CONUS). Although geostationary orbits are useful for observing CONUS, Soviet sensor technology sometimes required high-contrast observing angles that could only be achieved from higher latitudes. One such example is the US-KS early-warning satellite that watches for US missile launches, although improvements in these systems have since allowed them to move these to geo orbits.

The US has also made some use of the Molniya orbits for spy satellites of their own. The same long loitering time over high latitudes that makes them useful for broadcasting communications in Russia makes them just as useful for listening to Russian communications. Electronic intelligence satellites called Jumpseat and their successors called Trumpet are also reported to use Molniya orbits. Another use is the Satellite Data System (SDS), which relays data from spy satellites operating over Russia back to the US download sites for processing. SDS allows for real-time data collection from the low-flying KH-11 reconnaissance satellites, passing by in their polar orbits below. Although the KH-11 can also use geostationary relays, these are not useful when passing over high latitudes.

A Molniya orbit is not suitable for manned spacecraft as it repeatedly crosses the high-energy Van Allen belt.


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Derivation

In order to ensure that the position of the apogee is not severely affected by orbit perturbations, an inclination close to 63.4° degrees is chosen. This results in the argument of perigee remaining nearly constant for a long period of time.

The change per day of argument of perigee for earth orbits is as follows:



where: The equation becomes zero for an inclination of 63.4 degrees.

References

See also

External links

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Union of Soviet Socialist Republics (abbreviated USSR, Russian: ; tr.
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Hymn of the Russian Federation


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(and largest city) Moscow

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Molniya ("lightning") was a military communications satellite system used by the Soviet Union. The satellites used highly eccentric elliptical orbits of +63.4 degrees inclination and an orbital period of about 12 hours (called Molniya orbits), which allowed them to be
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Writing system: Cyrillic (Russian variant)  
Official status
Official language of:  Abkhazia (Georgia)
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Events

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19th century - 20th century - 21st century
1930s  1940s  1950s  - 1960s -  1970s  1980s  1990s
1962 1963 1964 - 1965 - 1966 1967 1968

Year 1965 (MCMLXV
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