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Stability of planetary systems with respect to masses. / Kuznetsov, Eduard D.; Kholshevnikov, Konstantin V.
In: Celestial Mechanics and Dynamical Astronomy, Vol. 109, No. 2, 01.02.2011, p. 201-210.

Research output: Contribution to journal › Article › peer-review

Harvard

Kuznetsov, ED & Kholshevnikov, KV 2011, 'Stability of planetary systems with respect to masses', Celestial Mechanics and Dynamical Astronomy, vol. 109, no. 2, pp. 201-210. https://doi.org/10.1007/s10569-010-9324-0

APA

Kuznetsov, E. D., & Kholshevnikov, K. V. (2011). Stability of planetary systems with respect to masses. Celestial Mechanics and Dynamical Astronomy, 109(2), 201-210. https://doi.org/10.1007/s10569-010-9324-0

Vancouver

Kuznetsov ED, Kholshevnikov KV. Stability of planetary systems with respect to masses. Celestial Mechanics and Dynamical Astronomy. 2011 Feb 1;109(2):201-210. doi: 10.1007/s10569-010-9324-0

Author

Kuznetsov, Eduard D. ; Kholshevnikov, Konstantin V. / Stability of planetary systems with respect to masses. In: Celestial Mechanics and Dynamical Astronomy. 2011 ; Vol. 109, No. 2. pp. 201-210.

BibTeX

@article{08924c102f9446e68759449cb72b6ac7,
title = "Stability of planetary systems with respect to masses",
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 = "Kuznetsov, {Eduard D.} and Kholshevnikov, {Konstantin V.}",
note = "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).",
year = "2011",
month = feb,
day = "1",
doi = "10.1007/s10569-010-9324-0",
language = "English",
volume = "109",
pages = "201--210",
journal = "Celestial Mechanics and Dynamical Astronomy",
issn = "0923-2958",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Stability of planetary systems with respect to masses

AU - Kuznetsov, Eduard D.

AU - Kholshevnikov, Konstantin V.

N1 - 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).

PY - 2011/2/1

Y1 - 2011/2/1

N2 - 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.

AB - 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.

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000286662300006

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=79251633922

U2 - 10.1007/s10569-010-9324-0

DO - 10.1007/s10569-010-9324-0

M3 - Article

VL - 109

SP - 201

EP - 210

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

IS - 2

ER -

ID: 37888932