Equatorial motion about an oblate primary

Details Equatorial motion about an oblate primary Equatorial motion about an oblate primary

Jun 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982stin...8234324t&link_type=abstract

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Computer Science

Equations Of Motion, Equatorial Orbits, Oblate Spheroids, Orbit Calculation, Orbital Mechanics, Approximation, Circular Orbits, Conservation Equations, Differential Equations, Elliptic Functions, Elliptical Orbits, Perturbation Theory, Time Dependence, Two Body Problem

Scientific paper

This report discusses motion in the equatorial plane of an oblate primary. Included are terms due to non-sphericity through J2 in the potential. This problem is exactly soluble in the same sense that the ordinary two-body problem is exactly soluble. The full solution is given, the connection with perturbation theory (as J2 yields 0) is demonstrated, and the stability of circular orbits is discussed. The analytical solution involves all three incomplete elliptic integrals which limits its transparency.

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