Abstract
Lunisolar resonances arise in the artificial satellite problem without short-periodic terms. The basic model including the Earth's J 2and a Hill-type model for the Sun or the Moon admits 20 different periodic terms which may lead to a resonance involving the satellite's perigee, node and the longitude of the perturbing body. Some of the resonances have been studied separately since 1960s. The present paper reviews all single resonances, attaching an appropriate fundamental model to each case. Only a part of resonances match known fundamental models. An extended fundamental model is proposed to account for some complicated phenomena. Most of the double resonance cases still remain unexplored.
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Breiter, S. Lunisolar Resonances Revisited. Celestial Mechanics and Dynamical Astronomy 81, 81–91 (2001). https://doi.org/10.1023/A:1013363221377
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DOI: https://doi.org/10.1023/A:1013363221377