Planet mass stability margin of two-planetary systems |
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| Authors: | E D Kuznetsov K V Kholshevnikov |
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| Institution: | (1) Ural State University, Ekaterinburg, Russia;(2) St. Petersburg State University, St. Petersburg, Russia |
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| Abstract: | The Lagrange stability of the Sun-Jupiter-Saturn and 47 UMa two-planetary systems at a time scale of 106 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, μ 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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