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Preprints of the Keldysh Institute of Applied Mathematics, 2014, 053, 21 pp. (Mi ipmp1905)  
The development of secular part of perturbing function of mutual attraction of celestial bodies for uniform close orbits

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

a Keldysh Institute of Applied Mathematics, RAS
b Lomonosov Moscow State University, Sternberg State Astronomical Institute
c L’observatoire de Paris, Institut de Mecanique Celeste et de Calcul des Ephemerides
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Abstract: The new development representation for secular part of perturbing function of mutual planet (satellite) attraction is proposed. Unlike from known representations the asymptotic of Gauss hypergeometric functions for arguments close to unit is used. Moreover the development proposed has united analytical form for external and internal variants of problem. The formula received is a partial sum of power row relative of eccentricities and sin of orbital inclinations with accuracy to forth power of these small parameters.
Keywords: mutual planet (satellite) attraction, secular perturbations, averaged perturbing function, close orbits.
Document Type: Preprint
Language: Russian
Citation: M. A. Vashkov'yak, S. N. Vashkov'yak, N. V. Emelyanov, “The development of secular part of perturbing function of mutual attraction of celestial bodies for uniform close orbits”, Keldysh Institute preprints, 2014, 053, 21 pp.
Citation in format AMSBIB
\Bibitem{VasVasEme14}
\by M.~A.~Vashkov'yak, S.~N.~Vashkov'yak, N.~V.~Emelyanov
\paper The development of secular part of perturbing function of mutual attraction of celestial bodies for uniform close orbits
\jour Keldysh Institute preprints
\yr 2014
\papernumber 053
\totalpages 21
\mathnet{http://mi.mathnet.ru/ipmp1905}
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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