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KIAM Preprint  20, Moscow, 2017
Authors: Vashkov'yak M. A.
On coplanar integrable case of double-averaged Hills problem taking into account the oblateness of central body
Double-averaged Hills problem taking into account the oblateness of central planet is considering in the case, when its equatorial plane coincides with the plane of orbital motion relatively perturbing body. A qualitative investigation of this so named coplanar integrable case was begun by Y. Kozai and was prolonged by M.L. Lidov and M.V. Yarskaya. However, it is not possible to get strict analytical solution of this problem because the integrals are complicated. In present work some quantitative evolutions characteristics are got and approximate constructive-analytical solution of the evolutional system is offered as obvious dependences of satellite orbital elements versus time. The estimation of methodical accuracy is got by comparing to the numerical solution of the evolutionary system for row lunar satellite orbits.
satellite orbits, secular perturbations
Publication language: russian,  pages: 32
Research direction:
Theoretical and applied problems of mechanics
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About authors:
  • Vashkov'yak Mikhail Alexandrovich, RAS