Stability of planetary systems with respect to masses / Kholshevnikov Konstantin V.,Kuznetsov Eduard D. // CELESTIAL MECHANICS \& DYNAMICAL ASTRONOMY. - 2011. - V. 109, l. 2. - P. 201-210.

ISSN/EISSN:

0923-2958 / нет данных

Type:

Article

Abstract:

The stability in the sense of Lagrange of the Sun-Jupiter-Saturn system and 47 UMa system with respect to masses on a time scale of 10(6) years was studied using the method of averaging and numerical methods. When the masses of Jupiter and Saturn increase by 20 times (approximately, more accurate value depends on a time-scale of stable motion), these planets can have close approaches. Close approaches appear when analyzing osculating elements; they are absent in the mean elements. A similar situation takes place in the case of 47 UMa and other exoplanetary systems. The study of Lagrange stability with respect to masses allows us to obtain upper limits for masses of extrasolar planets.

Author keywords:

Stability in the sense of Lagrange; Close approaches; Escape; Osculating and mean elements; Method of averaging; Sun-Jupiter-Saturn system; 47 UMa planets 47 URSAE-MAJORIS; GENERAL 3-BODY PROBLEM

DOI:

10.1007/s10569-010-9324-0

Web of Science ID:

ISI:000286662300006

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	FEB
Publisher	SPRINGER
Address	VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS
Language	English
Keywords-Plus	47 URSAE-MAJORIS; GENERAL 3-BODY PROBLEM
Research-Areas	Astronomy \& Astrophysics; Mathematics
Web-of-Science-Categories	Astronomy \& Astrophysics; Mathematics, Interdisciplinary Applications
Author-Email	kvk@astro.spbu.ru eduard.kuznetsov@usu.ru
ResearcherID-Numbers	Kholshevnikov, Konstantin/M-8533-2013
ORCID-Numbers	Kholshevnikov, Konstantin/0000-0002-2465-4952
Funding-Acknowledgement	Council by President of Russia for Support of Leading Scientific Schools {[}NS-3290.2010.2]; State Agency for Education of the Ministry of Education and Science of the Russian Federation {[}2.2.3.1/1842]
Funding-Text	We are greatful to anonymous reviewers for the very attentive reading and valuable suggestions. One of them even made non-trivial calculations to check our results. This work is supported by the Council by President of Russia for Support of Leading Scientific Schools (Grant NS-3290.2010.2) 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){''} (project 2.2.3.1/1842).
Number-of-Cited-References	26
Usage-Count-Since-2013	3
Journal-ISO	Celest. Mech. Dyn. Astron.
Doc-Delivery-Number	712JH