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Planet mass stability margin of two-planetary systems

机译:两行星系统的行星质量稳定裕度

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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. (PUBLICATION ABSTRACT)
机译:使用平均法研究了太阳木星-土星和47 UMa两行星系统在106年时间尺度上的Lagrange稳定性。当木星和土星的质量增加19倍时,这些行星可以紧密地会聚。对连续质量增加的情况下的拉格朗日稳定性的研究允许获得太阳系外行星可能质量的较高估计。当最小质量增加38倍时,可以在47 UMa系统中采用接近方法。分析振荡元素时的方法;在平均要素中,没有方法。研究了六个行星外两行星系统的共振特性,其中外行星的质量小于内行星的质量。在HD 82943和HD 73526系统中,行星轨道的半长轴的值位于一个狭窄的共振带中。在47 UMa中,μAra和HD 108874系统位于较宽的谐振区域。在HD 12661中,未显示出较低阶的系统共振。 (出版物摘要)

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