The Conservation of Area Integrals in Averaging Transformations / Kuznetsov E. D. // ASTRONOMY REPORTS. - 2010. - V. 54, l. 6. - P. 562-569.

ISSN/EISSN:

1063-7729 / нет данных

Type:

Article

Abstract:

It is shown for the two-planetary version of the weakly perturbed two-body problem that, in a system defined by a finite part of a Poisson expansion of the averaged Hamiltonian, only one of the three components of the area vector is conserved, corresponding to the longitudes measuring plane. The variability of the other two components is demonstrated in two ways. The first is based on calculating the Poisson bracket of the averaged Hamiltonian and the components of the area vector written in closed form. In the second, an echeloned Poisson series processor (EPSP) is used when calculating the Poisson bracket. The averaged Hamiltonian is taken with accuracy to second order in the small parameter of the problem, and the components of the area vector are expanded in a Poisson series.

Author keywords:

POISSON SERIES PROCESSOR; 2-PLANETARY PROBLEM; EXPANSION; ELEMENTS; PLANETARY

DOI:

10.1134/S1063772910060090

Web of Science ID:

ISI:000279192000009

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JUN
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Keywords-Plus	POISSON SERIES PROCESSOR; 2-PLANETARY PROBLEM; EXPANSION; ELEMENTS; PLANETARY
Research-Areas	Astronomy \& Astrophysics
Web-of-Science-Categories	Astronomy \& Astrophysics
Funding-Acknowledgement	State Support for Leading Scientific Schools of the Russian Federation {[}NSh-1323.2008.2]; State Agency for Education of the Ministry of Education and Science of the Russian Federation {[}2.2.3.1/1842, 2.1.1/504]
Funding-Text	The author thanks K. V. Kholshevnikov for useful discussions and valuable comments. This work was partially supported by the Program of State Support for Leading Scientific Schools of the Russian Federation (NSh-1323.2008.2) and the Analytical Departmental Targeted Program of the State Agency for Education of the Ministry of Education and Science of the Russian Federation ``The Development of the Scientific Potential of Higher Education (2009-2010){''} (projects 2.2.3.1/1842, 2.1.1/504).
Number-of-Cited-References	15
Usage-Count-Since-2013	2
Journal-ISO	Astron. Rep.
Doc-Delivery-Number	616EQ