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Preprints of the Keldysh Institute of Applied Mathematics, 2012, 003, 30 pp. (Mi ipmp21)  
Unated presentation for secular part of perturbing function of mutual attraction of planetary satellites

M. A. Vashkov’yaka, S. N. Vashkov’yakb, N. V. Emelyanovbc

a M.V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
b P. K. Sternberg Astronomical Institute, M. V. Lomonosov Moscow State University
c Institut de Mé Canique Céleste et de Calcul des Éphemerides, Observatoire de Paris
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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.
Document Type: Preprint
Language: Russian
Citation: M. A. Vashkov’yak, S. N. Vashkov’yak, N. V. Emelyanov, “Unated presentation for secular part of perturbing function of mutual attraction of planetary satellites”, Keldysh Institute preprints, 2012, 003, 30 pp.
Citation in format AMSBIB
\Bibitem{VasVasEme12}
\by M.~A.~Vashkov’yak, S.~N.~Vashkov’yak, N.~V.~Emelyanov
\paper Unated presentation for secular part of perturbing function of mutual attraction of planetary satellites
\jour Keldysh Institute preprints
\yr 2012
\papernumber 003
\totalpages 30
\mathnet{http://mi.mathnet.ru/ipmp21}
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