Expansion of the Hamiltonian of the two-planetary problem into the Poisson series in all elements: Application of the Poisson series processor / Kuznetsov ED,Kholshevnikov KV // SOLAR SYSTEM RESEARCH. - 2004. - V. 38, l. 2. - P. 147-154.

ISSN/EISSN:

0038-0946 / нет данных

Type:

Article

Abstract:

This paper is the third in a series of articles devoted to one of the basic problems of celestial mechanics: the study of the evolution of solar-type planetary systems. In the previous papers a brief review of the history and current state of the problem was given; the plan of the study was outlined; the Jacobi coordinates and the related osculating elements were introduced; the form of the Poisson expansion of the Hamiltonian in all elements was given; and the expansion coefficients for the Hamiltonian of the two-planetary Sun-Jupiter-Saturn problem were obtained (though with impure accuracy) by a simple algorithm that is reduced to the calculation of multiple integrals of elementary functions. In the present paper the expansion of the Hamiltonian of the two-planetary Sun-Jupiter-Saturn problem into the Poisson series in all elements is constructed with the help of the PSP Poisson series processor, which is capable of required accuracy.

Author keywords:

MOTION

DOI:

10.1023/B:SOLS.0000022825.9383

Web of Science ID:

ISI:000221173000007

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	MAR-APR
Publisher	MAIK NAUKA/INTERPERIODICA
Address	C/O KLUWER ACADEMIC-PLENUM PUBLISHERS, 233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Keywords-Plus	MOTION
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	10
Journal-ISO	Solar Syst. Res.
Doc-Delivery-Number	817JE