Differential correction for near-stationary satellites

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrodynamics, Geosynchronous Orbits, Orbit Calculation, Stationary Orbits, Orbital Elements, Position Errors, Satellite Tracking

Scientific paper

This paper presents a new concept for the differential correction of orbits. It is developed in detail for the case of near-stationary artificial satellites. For these satellites a few (less than 10) observations over a short (5-15 m, not greater than an approximately 1% period) time interval allows the reacquisition of the satellite an hour later. Moreover, the addition of only a few more observations spanning a slightly longer time interval allows the production of an excellent set of orbital elements. The technique is self-starting and does not use any of the classical initial orbit determination procedures. It can be used for radar observations or extended to include angular velocity data. Its success appears to be based on the ability to find a coordinate system in which the object's motion is nearly stationary and the extensive use of analytical (instead of numerical) procedures.

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