Abstract
Luni-solar perturbations of the orbit of an artificial Earth satellite are given by modifying the analytical theory of an artificial lunar satellite derived by the author in recent papers. Expressions for the first-order changes, both secular and periodic, in the elements of the geocentric Keplerian orbit of the earth satellite are given, the moon's geocentric orbit, including solar perturbations in it, being found by using Brown's lunar theory.
The effects of Sun and Moon on the satellite orbit are described to a high order of accuracy so that the theory may be used for distant earth satellites.
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References
Roy, A. E.: 1968a, ‘The Theory of the Motion of an Artificial Lunar Satellite. I. Development of the Disturbing Function’,Icarus 9, 82.
Roy, A. E.: 1968b, ‘The Theory of the Motion of an Artificial Lunar Satellite. II. The First-Order and Second-Order Theories’,Icarus 9, 133.
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Roy, A.E. Luni-solar perturbations of an Earth satellite. Astrophys Space Sci 4, 375–386 (1969). https://doi.org/10.1007/BF00651343
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DOI: https://doi.org/10.1007/BF00651343