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首页> 外文会议>Third Meeting on Celestical Mechanics - CELMEC III Jun 18-22, 2001 Rome, Italy >ON THE STABILITY OF THE TERRESTRIAL PLANETS AS MODELS FOR EXOSOLAR PLANETARY SYSTEMS
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ON THE STABILITY OF THE TERRESTRIAL PLANETS AS MODELS FOR EXOSOLAR PLANETARY SYSTEMS

机译：地行星系统作为模型的地面行星的稳定性

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摘要

All results, achieved up to now, show the long term stability of our planetary system, although, especially the inner solar system is chaotic, due to some specific secular resonances. We study, by means of numerical integrations, the dynamical evolution of the planetary system where we concentrate on the stability of motion of the terrestrial planets Venus, Earth and Mars. Our model consists of a simplified planetary system with the inner planets Venus, Earth and Mars as well as Jupiter and Saturn. A mass factor K was introduced to uniformly change the masses of the terrestrial planets; Jupiter and Saturn were involved in the system with their actual masses. We integrated the equations of motion with a Lie-integration method for a time interval of 10 years. It turned out that when 220 < K < 245 and K > 250 the system became unstable due to the strong interactions between the planets. We discuss the model planetary systems for small mass-factors 0.5 ≤ K ≤ 10 and large ones 160 ≤ K ≤ 270 with the aid of several different numerical tools These results can be applied to recently discovered exoplanetary systems, which configuration is comparable to our own.
机译：到目前为止，所有获得的结果都表明了我们行星系统的长期稳定性，尽管由于某些特定的长期共振，特别是内部太阳系是混乱的。我们通过数值积分的方法研究行星系统的动力学演化，其中我们专注于金星，地球和火星的行星运动的稳定性。我们的模型由一个简化的行星系统组成，该行星系统的内部行星为金星，地球和火星，以及木星和土星。引入质量因数K来均匀地改变地球行星的质量；木星和土星以其实际质量参与了该系统。我们使用Lie积分方法将运动方程式积分了10年。事实证明，当220 250时，由于行星之间的强相互作用，系统变得不稳定。我们将借助几种不同的数值工具讨论小质量因数0.5≤K≤10和大质量因数160≤K≤270的模型行星系统。这些结果可以应用于最近发现的系外行星系统，其构型与我们自己的构想相当。

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