The Hori-Deprit method for averaged motion equations of the planetary problem in elements of the second Poincar, system / Perminov A. S.,Kuznetsov E. D. // SOLAR SYSTEM RESEARCH. - 2016. - V. 50, l. 6. - P. 426-436.

ISSN/EISSN:

0038-0946 / 1608-3423

Type:

Article

Abstract:

We consider an algorithm to construct averaged motion equations for four-planetary systems by means of the Hori-Deprit method. We obtain the generating function of the transformation, change-variable functions and right-hand sides of the equations of motion in elements of the second Poincar, system. Analytical computations are implemented by means of the Piranha echeloned Poisson processor. The obtained equations are to be used to investigate the orbital evolution of giant planets of the Solar system and various extrasolar planetary systems.

Author keywords:

second system of Poincare elements; Hori-Deprit method; Poisson processor; Poisson brackets; equations of motion; planetary problem

DOI:

10.1134/S0038094616060022

Web of Science ID:

ISI:000392535100005

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	NOV
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1608-3423
Research-Areas	Astronomy \& Astrophysics
Web-of-Science-Categories	Astronomy \& Astrophysics
Author-Email	eduard.kuznetsov@urfu.ru
Funding-Acknowledgement	Government of the Russian Federation {[}02.A03.21.0006]
Funding-Text	This work was supported by the Act no. 211 of the Government of the Russian Federation, agreement no. 02.A03.21.0006.
Number-of-Cited-References	8
Journal-ISO	Solar Syst. Res.
Doc-Delivery-Number	EI5LE