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Planet mass stability margin of two-planetary systems. / Kuznetsov, E. D.; Kholshevnikov, K. V.
In: Solar System Research, Vol. 43, No. 3, 01.06.2009, p. 220-228.

Research output: Contribution to journalArticlepeer-review

Harvard

Kuznetsov, ED & Kholshevnikov, KV 2009, 'Planet mass stability margin of two-planetary systems', Solar System Research, vol. 43, no. 3, pp. 220-228. https://doi.org/10.1134/S0038094609030046

APA

Kuznetsov, E. D., & Kholshevnikov, K. V. (2009). Planet mass stability margin of two-planetary systems. Solar System Research, 43(3), 220-228. https://doi.org/10.1134/S0038094609030046

Vancouver

Kuznetsov ED, Kholshevnikov KV. Planet mass stability margin of two-planetary systems. Solar System Research. 2009 Jun 1;43(3):220-228. doi: 10.1134/S0038094609030046

Author

Kuznetsov, E. D. ; Kholshevnikov, K. V. / Planet mass stability margin of two-planetary systems. In: Solar System Research. 2009 ; Vol. 43, No. 3. pp. 220-228.

BibTeX

@article{e836f315668846b2961857e07da2f372,
title = "Planet mass stability margin of two-planetary systems",
abstract = "The Lagrange stability of the Sun-Jupiter-Saturn and 47 UMa two-planetary systems at a time scale of 10(6) yr was studied using the method of averaging. When the masses of Jupiter and Saturn increase by 19 times, these planets can closely converge. The study of Lagrange stability in the case of successive mass increase allows for the obtainment of upper estimates of possible masses of extrasolar planets. Close approachs in the 47 UMa system are possible when minimal masses increase by 38 times. approachs are revealed when analyzing osculating elements; in averaged elements, approachs are absent. Resonant properties of six extrasolar two-planetary systems where the outer planet is less massive than the inner one are studied. The values of semi-major axes of planet orbits in HD 82943 and HD 73526 systems lie in a narrow resonant zone; in 47 UMa, mu Ara and HD 108874 systems lie in a wide resonant zone. In the HD 12661, the system resonances of a lower order were not revealed.",
author = "Kuznetsov, {E. D.} and Kholshevnikov, {K. V.}",
note = "The authors are grateful to reviewers for fruitful discussions and valuable comments. The work was supported by the Committee on Grants of President of the Russian Federation for the Support of Leading Scientific Schools (grant no. NSh-1323.2008.2), the analytical official goal-oriented program: Development of the Scientific Potential of the Higher School (2009-2010) of the Federal Agency of Education of the Ministry of Education and Science of Russia.",
year = "2009",
month = jun,
day = "1",
doi = "10.1134/S0038094609030046",
language = "English",
volume = "43",
pages = "220--228",
journal = "Solar System Research",
issn = "0038-0946",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "3",

}

RIS

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T1 - Planet mass stability margin of two-planetary systems

AU - Kuznetsov, E. D.

AU - Kholshevnikov, K. V.

N1 - The authors are grateful to reviewers for fruitful discussions and valuable comments. The work was supported by the Committee on Grants of President of the Russian Federation for the Support of Leading Scientific Schools (grant no. NSh-1323.2008.2), the analytical official goal-oriented program: Development of the Scientific Potential of the Higher School (2009-2010) of the Federal Agency of Education of the Ministry of Education and Science of Russia.

PY - 2009/6/1

Y1 - 2009/6/1

N2 - The Lagrange stability of the Sun-Jupiter-Saturn and 47 UMa two-planetary systems at a time scale of 10(6) yr was studied using the method of averaging. When the masses of Jupiter and Saturn increase by 19 times, these planets can closely converge. The study of Lagrange stability in the case of successive mass increase allows for the obtainment of upper estimates of possible masses of extrasolar planets. Close approachs in the 47 UMa system are possible when minimal masses increase by 38 times. approachs are revealed when analyzing osculating elements; in averaged elements, approachs are absent. Resonant properties of six extrasolar two-planetary systems where the outer planet is less massive than the inner one are studied. The values of semi-major axes of planet orbits in HD 82943 and HD 73526 systems lie in a narrow resonant zone; in 47 UMa, mu Ara and HD 108874 systems lie in a wide resonant zone. In the HD 12661, the system resonances of a lower order were not revealed.

AB - The Lagrange stability of the Sun-Jupiter-Saturn and 47 UMa two-planetary systems at a time scale of 10(6) yr was studied using the method of averaging. When the masses of Jupiter and Saturn increase by 19 times, these planets can closely converge. The study of Lagrange stability in the case of successive mass increase allows for the obtainment of upper estimates of possible masses of extrasolar planets. Close approachs in the 47 UMa system are possible when minimal masses increase by 38 times. approachs are revealed when analyzing osculating elements; in averaged elements, approachs are absent. Resonant properties of six extrasolar two-planetary systems where the outer planet is less massive than the inner one are studied. The values of semi-major axes of planet orbits in HD 82943 and HD 73526 systems lie in a narrow resonant zone; in 47 UMa, mu Ara and HD 108874 systems lie in a wide resonant zone. In the HD 12661, the system resonances of a lower order were not revealed.

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