Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977rspsa.355..131h&link_type=abstract
Royal Society (London), Proceedings, Series A, vol. 355, no. 1680, June 30, 1977, p. 131-140. Research supported by the Science
Astronomy and Astrophysics
Astronomy
Circular Orbits, Lunar Effects, Orbit Perturbation, Satellite Orbits, Solar System, Astrodynamics, Perturbation Theory, Zonal Harmonics
Scientific paper
A solution is obtained for the motion of a satellite in a near-circular orbit in the case where the satellite is acted upon by the zonal harmonics in the geopotential. It can be applied, in particular, to the evaluation of the indirect effects of the zonal harmonics on a satellite which is also acted upon by lunisolar perturbations. This approach avoids some of the limitations inherent in earlier solutions. Expressions are obtained for the time variations of all the elliptic elements, and the solution is valid to the first order of the zonal harmonics and up to the second order in J2. It can be applied to nonequatorial satellites with orbital eccentricities of less than 0.03 and inclinations not near the critical inclination of 63.4 deg.
Hughes Scott S.
Meadows Jack A.
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