Basic Theory for Prod, a Program for Computing the Development of Satellite Orbits

Computer Science

Scientific paper

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Scientific paper

This paper presents the basic theory underlying the computer program PROD for predicting the long-term development of drag-free orbits of eccentricity up to about 0.9 under the influence of the Earth's gravitational potential and the gravitational attractions of the Sun and Moon. To prevent excessive use of computer time, the disturbing functions are averaged analytically with respect to the mean anomaly of the satellite and recurrence relations are given wherever possible for the evaluation of the various coefficients.

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