Abstract
Within the framework of linear and regular celestial mechanics, a wide class of central force field problems are considered. We take as potential function a polynomial whose variable is the reciprocal of the distance from the origin, and, as regularizing function the square root of a certain reciprocal polynomial, related to the potential function. The relations between the coefficients of both functions, in order to arrive to linear equations, are given. In particular, the case of a quintic polynomial is analyzed, and an application is made to artificial earth satellites considering harmonicsJ 2,J 3,J 4.
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Cid, R., Ferrer, S. & Elipe, A. Regularization and linearization of the equations of motion in central force-fields. Celestial Mechanics 31, 73–80 (1983). https://doi.org/10.1007/BF01272561
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DOI: https://doi.org/10.1007/BF01272561