Accuracy of equations for the intermediate orbit of a satellite.

Astronomy and Astrophysics – Astronomy

Scientific paper

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Artificial Satellites: Orbits, Phobos: Orbit

Scientific paper

The author analyzes the accuracy of equations for a satellite's intermediate orbit based on a solution of the generalized problem of two fixed centers. Terms of different orders with respect to the small parameter are considered. Calculations based on the equations are compared with numerical integration of the equations of satellite motion over long time intervals. The maximum comparison interval is 150 days for an artificial Earth satellite and 360 days for the Martian satellite Phobos. The accuracy of the equations is 2.2 cm for the Earth satellite and 0.3 cm for Phobos in satellite coordinates.

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