Mathematics
Scientific paper
May 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993nps..reptr....d&link_type=abstract
Technical Report, Jan. - Apr. 1993 Naval Postgraduate School, Monterey, CA. Dept. of Mathematics.
Mathematics
Artificial Satellites, Equations Of Motion, Oblate Spheroids, Orbit Calculation, Perturbation, Prediction Analysis Techniques, Satellite Orbits, Apogees, Perigees, Radii
Scientific paper
The search for a universal solution of the equations of motion for a satellite orbiting an oblate planet is a subject that has merited great interest because of its theoretical and practical implications. Here, a complete first-order perturbation solution, including the effects of the J2 terms in the planet's potential, is given in terms of standard orbital parameters. The simple formulas provide a fast method for predicting satellite orbits that is more accurate than the two-body formulas. These predictions are shown to agree well with those of a completely numerical code and with actual satellite data. Also, in an appendix, it is rigorously proven that a satellite having negative mechanical energy remains for all time within a spherical annulus with radii approximately equal to the perigee and apogee of its initial osculating ellipse.
Danielson D. A.
Krambeck S. D.
Latta G. E.
Sagovac C. P.
Snider James Ralph
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