The expansion of the Hamiltonian of the planetary problem into the Poisson series in all Keplerian elements (theory) / Kholshevnikov KV,Greb AV,Kuznetsov ED // SOLAR SYSTEM RESEARCH. - 2001. - V. 35, l. 3. - P. 243-248.

ISSN/EISSN:

0038-0946 / нет данных

Type:

Article

Abstract:

The study of the evolution of planetary systems, primarily of the Solar System, is one of the basic problems of celestial mechanics. The stability of motion of giant planets on cosmogonic time scales was established by numerical and analytical methods, but the question about the evolution of orbits of terrestrial planets and arbitrary solar-type planetary systems remained open. This work initiates a series of papers allowing one to advance in solving the problem of the evolution of the solar-type planetary systems on cosmogonic time scales by using powerful analytical tools. In the first paper of this series, we choose the optimum reference system and obtain the Poisson series expansion of the Hamiltonian of the problem in all Keplerian elements. We propose to use the integral representation of the corresponding coefficients or the Poisson processor means instead of conventionally addressing any possible special functions. This approach extremely simplifies the algorithm. The next paper of this series deals with the calculation of the expansion coefficients.

Author keywords:

SOLAR-SYSTEM; STABILITY

DOI:

10.1023/A:1010487107989

Web of Science ID:

ISI:000171078400011

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	MAY-JUN
Publisher	MAIK NAUKA/INTERPERIODICA
Address	C/O KLUWER ACADEMIC-PLENUM PUBLISHERS, 233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Keywords-Plus	SOLAR-SYSTEM; STABILITY
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	17
Journal-ISO	Solar Syst. Res.
Doc-Delivery-Number	473YY