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KIAM Preprint № 3, Moscow, 2012
Authors: Vashkov'yak M. A., Vashkov’yak S.N., Emelyanov N.V.
Unated Presentation for Secular Part of Perturbing Function of Mutual Attraction of Planetary Satellites
Abstract:
The special presentation for secular part of perturbing function of mutual satellite attraction is proposed. Unlike from known presentation it has united analytical form for any relation between semi-major axis of orbits of perturbed satellite and of perturbing one. The formula received is a partial sum of power row relative of small eccentricities and planet-equatorial inclinations of satellite orbits. This sum contains addendum up to fourth power inclusive relative small parameters above. The comparison of development proposed for secular part of perturbing function and known one is made.
Keywords:
mutual satellite attraction, secular perturbations, averaged perturbing function
Publication language: russian,  pages: 30
Research direction:
Theoretical and applied problems of mechanics
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About authors:
  • Vashkov'yak Mikhail Alexandrovich,  orcid.org/0000-0003-4216-0267KIAM RAS
  • Vashkov’yak S.N.,  ,  Московский Государственный университет им. М.В. Ломоносова; Государственный астрономический институт им. П.К. Штернберга
  • Emelyanov N.V.,  ,  Московский Государственный университет им. М.В. Ломоносова; Государственный астрономический институт им. П.К. Штернберга; Парижская обсерватория, Институт небесной механики и вычисления эфемерид