The expansion of the Hamiltonian of the two-planetary problem into a poisson series in all elements: Estimation and direct calculation of coefficients / Kholshevnikov K.V., Greb A.V., Kuznetsov E.D. // Solar System Research. - 2002. - V. 36, l. 1. - P. 68-79.

ISSN:
00380946
Type:
Article
Abstract:
This is the second paper in a series of articles devoted to one of the basic problems of celestial mechanics: the evolution of solar-type planetary systems. In the first paper (Kholshevnikov et al., 2001), we reviewed the history and the current state of the issue, outlined the scheme of the study, introduced Jacobi coordinates and related osculating elements, and indicated the form of the Hamiltonian expansion into a Poisson series in all elements. In this paper, the expansion coefficients are found according to a simple algorithm that is reduced to the calculation of multiple integrals of elementary functions. At the first stage, we restricted our analysis to the two-planetary problem (Sun Jupiter Saturn). The general case will be investigated in a forthcoming paper.
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нет данных
DOI:
10.1023/A:1014229712204
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-0036117355&doi=10.1023%2fA%3a1014229712204&partnerID=40&md5=830f056624e61ca881e3ac0da1257ed3
Соавторы в МНС:
Другие поля
Поле Значение
Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-0036117355&doi=10.1023%2fA%3a1014229712204&partnerID=40&md5=830f056624e61ca881e3ac0da1257ed3
Affiliations Astronomical Institute, St. Petersburg State University, Universitetskii pr. 28, Petrodvorets, St. Petersburg 198504, Russian Federation; Ural State University, ul. Lenina 51, Yekaterinburg, 620083, Russian Federation
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Correspondence Address Kholshevnikov, K.V.; Astronomical Institute, St. Petersburg State University, Universitetskii pr. 28, Petrodvorets, St. Petersburg 198504, Russian Federation
Language of Original Document English
Abbreviated Source Title Sol. Syst. Res.
Source Scopus