%0 Journal Article
%A
%A
%T A study of near-circular satellite orbits: with an application to lunisolar perturbations
%D 1977
%R 10.1098/rspa.1977.0090
%J Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
%P 131-140
%V 355
%N 1680
%X A solution is obtained for the motion of a satellite in a near-circular orbit when 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 a, e, I, ω, Ω and M, and the solution is valid to the first order of the zonal harmonics Jn (n > 2) and up to the second order in J2. It can be applied to non-equatorial satellites with orbital eccentricities < 0.03 and inclinations not near the critical inclination of 63.4°.
%U http://rspa.royalsocietypublishing.org/content/royprsa/355/1680/131.full.pdf