The expansion of the Hamiltonian of the two-planetary problem into a Poisson series in all elements: Estimation and direct calculation of coefficients / Kholshevnikov KV,Greb AV,Kuznetsov ED // SOLAR SYSTEM RESEARCH. - 2002. - V. 36, l. 1. - P. 68-79.

ISSN/EISSN:

0038-0946 / нет данных

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.

Author keywords:

нет данных

DOI:

10.1023/A:1014229712204

Web of Science ID:

ISI:000174337900008

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JAN-FEB
Publisher	MAIK NAUKA/INTERPERIODICA
Address	C/O KLUWER ACADEMIC-PLENUM PUBLISHERS, 233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Astronomy \& Astrophysics
Web-of-Science-Categories	Astronomy \& Astrophysics
ResearcherID-Numbers	Kholshevnikov, Konstantin/M-8533-2013
ORCID-Numbers	Kholshevnikov, Konstantin/0000-0002-2465-4952
Number-of-Cited-References	16
Journal-ISO	Solar Syst. Res.
Doc-Delivery-Number	530CK