Tundra orbit

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Ground track of three satellites of the Sirius Satellite Radio constellation in a tundra orbit

Tundra orbit is a type of highly elliptical geosynchronous orbit with a high inclination (usually near 63.4°) and an orbital period of one sidereal day (almost 24 hours). A satellite placed in this orbit spends most of its time over a chosen area of the Earth, a phenomenon known as apogee dwell. The ground track of a satellite in a tundra orbit is a closed "figure-eight" lemniscate.

These are conceptually similar to Molniya orbits which have the same inclination but half the period (about 12 hours). The only current user of tundra orbits is Sirius Satellite Radio, which operates a constellation of three satellites.^{[citation needed]} The RAAN and mean anomaly of each satellite is offset by 120 degrees so that when one satellite moves out of position, another has passed perigee and is ready to take over.

Tundra and Molniya orbits are used to provide high latitude users with higher elevation angles than a geostationary orbit. Neither the Tundra nor Molniya orbits are geostationary because that is possible only over the equator, so both orbits are elliptical to reduce the time that the satellite is away from its service area. An argument of perigee of 270 degrees places apogee at the northernmost point of the orbit. (An argument of perigee of 90 degrees would likewise serve the high southern latitudes. An argument of perigee of 0 or 180 degrees would cause the satellite to dwell over the equator, but there would be little point to this as this could be better done with a conventional geostationary orbit.)

The Tundra and Molniya orbits use a sin^-1 √4/5 ≈ 63.4° inclination to null the secular perturbation of the argument of perigee caused by the earth's equatorial bulge. Any other inclination would cause the argument of perigee to change steadily over time so that apogee would occur either before or after the highest latitude is reached.

References

• Sample Mission Analysis from the Danish Space Research Institute (see page 8).

See also

• List of orbits

v • d • e Orbits   Types General Box · Capture · Circular · Elliptical / Highly elliptical · Escape · Graveyard · Hyperbolic trajectory · Inclined / Non-inclined · Osculating · Parabolic trajectory · Parking · Synchronous (semi · sub) Geocentric Geosynchronous · Geostationary · Sun-synchronous · Low Earth · Medium Earth · Molniya · Near-equatorial · Orbit of the Moon · Polar · Tundra · Two-line elements About other points Areosynchronous · Areostationary · Halo · Lissajous · Lunar · Heliocentric · Heliosynchronous   Parameters Classical  Inclination ·  Longitude of the ascending node ·  Eccentricity ·  Argument of periapsis ·  Semi-major axis ·  Mean anomaly at epoch Other  True anomaly ·  Semi-minor axis ·  Linear eccentricity ·  Eccentric anomaly ·  Mean longitude ·  True longitude ·  Orbital period   Maneuvers Bi-elliptic transfer · Delta-v budget · Geostationary transfer · Gravity assist · Gravity turn · Hohmann transfer · Low energy transfer · Oberth effect  · Inclination change · Phasing · Rendezvous · Transposition, docking, and extraction   Other orbital mechanics topics Apsis · Celestial coordinate system · Direct motion · Epoch · Ephemeris · Equatorial coordinate system · Ground track · Interplanetary Transport Network · Kepler's laws of planetary motion · Lagrangian point · n-body problem · Orbit equation · Orbital speed · Orbital state vectors · Perturbation · Retrograde motion · Specific orbital energy · Specific relative angular momentum List of orbits

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