Abstract
Various forms of potentials produced by rings, disks, oblate or prolate spheroids, electric or magnetic dipoles etc., can be expressed by means of Legendre polynomials. We choose an oblate spheroid to demonstrate a general method for obtaining the perturbed orbital elements of a satellite moving in any of the above potentials. We substitute the disturbing accelerations due to an oblate speroid into the Gauss-Lagrange form of the planetary equations to yield both secular and periodic terms for the orbital elements.
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© 1995 Springer Science+Business Media New York
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Zafiropoulos, B., Stavliotis, C. (1995). Orbital Elements of a Satellite Moving in the Potential of an Oblate Spheroid. In: Roy, A.E., Steves, B.A. (eds) From Newton to Chaos. NATO ASI Series, vol 336. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1085-1_22
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DOI: https://doi.org/10.1007/978-1-4899-1085-1_22
Publisher Name: Springer, Boston, MA
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