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首页> 外文会议>Third Meeting on Celestical Mechanics - CELMEC III Jun 18-22, 2001 Rome, Italy >RESONANT PERIODIC MOTION AND THE STABILITY OF EXTRASOLAR PLANETARY SYSTEMS
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RESONANT PERIODIC MOTION AND THE STABILITY OF EXTRASOLAR PLANETARY SYSTEMS

机译：共振周期运动与太阳系行星系统的稳定性

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摘要

Families of nearly circular periodic orbits of the planetary type are studied, close to the 3/1 mean motion resonance of the two planets, considered both with finite masses. Large regions of instability appear, depending on the total mass of the planets and on the ratio of their masses. Also, families of resonant periodic orbits at the 2/1 resonance have been studied, for a planetary system where the total mass of the planets is the 4% of the mass of the sun. In particular, the effect of the ratio of the masses on the stability is studied. It is found that a planetary system at this resonance is unstable if the mass of the outer planet is smaller than the mass of the inner planect. Finally, an application has been made for the stability of the observed extrasolar planetary systems HD82943 and Gliese 876, trapped at the 2/1 resonance.
机译：研究了行星型近圆形周期轨道的族，接近于两个行星的3/1平均运动共振，这两个行星均具有有限质量。根据行星的总质量及其质量比，会出现较大的不稳定区域。另外，对于行星系统，其中行星的总质量是太阳质量的4％，已经研究了2/1共振的共振周期轨道族。特别地，研究了质量比对稳定性的影响。已经发现，如果外行星的质量小于内行星的质量，则处于该共振的行星系统是不稳定的。最后，已经为观测到的太阳系外行星系统HD82943和Gliese 876的稳定性提出了应用，它们陷入了2/1共振。

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