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Recursive analytical solution describing artificial satellite motion perturbed by an arbitrary number of zonal termsAn analytical first order solution has been developed which describes the motion of an artificial satellite perturbed by an arbitrary number of zonal harmonics of the geopotential. A set of recursive relations for the solution, which was deduced from recursive relations of the geopotential, was derived. The method of solution is based on Von-Zeipel's technique applied to a canonical set of two-body elements in the extended phase space which incorporates the true anomaly as a canonical element. The elements are of Poincare type, that is, they are regular for vanishing eccentricities and inclinations. Numerical results show that this solution is accurate to within a few meters after 500 revolutions.
Document ID
19780047975
Document Type
Conference Paper
Authors
Mueller, A. C. (Analytical and Computational Mathematics, Inc. Houston, Tex., United States)
Date Acquired
August 9, 2013
Publication Date
September 1, 1977
Subject Category
ASTRODYNAMICS
Funding Number(s)
CONTRACT_GRANT: NAS9-15171
Distribution Limits
Public
Copyright
Other