Satellite motion around an oblate planet: a perturbation solution for all orbital parameters
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The search for a universal solution of the equations of motion for a satellite orbiting an oblate planet is a subject that has merited gre.at interest because of its theoretical and practical implications. Here, a complete first-order perturbation solution, including the effects of the 12 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 ~hown 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 mC(;hanical energy remains for all time within a spherical annulus with radii approximately equal to the perigee and apogee of its initial osculating ellipse.
Approved for public release; distribution is unlimited.Technical Report For Period January 1993 - April 1993
NPS Report NumberNPS-MA-93-O18
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