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arXiv 0710.5440astro-ph
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太阳系外系统HD 37124的长期稳定性。共振效应的数值研究

The long-term stability of extrasolar system HD 37124. Numerical study of resonance effects

Krzysztof Gozdziewski, Slawomir Breiter, Wojciech Borczyk

摘要:

我们描述了太阳系外行星系统的稳定性分析的数值工具。特别地,我们考虑相对庞加莱变量和辛积分的运动方程。我们应用切线映射推导出一个数值有效的算法的快速指标MEGNO(最大李雅普诺夫指数的措施),有助于区分混乱和定期配置。本文介绍并讨论了太阳系外三行星系统HD 37124的观测结果。更密切地研究了在早期作品中发现的最佳拟合解决方案。该系统包括质量相似的类木行星。轨道具有中等的偏心率,但最佳拟合解被发现在相空间的动力学活跃区域。系统的长期稳定性由低阶二体和三体平均运动共振网络决定。特别是,三体共振可能会引起强烈的混沌,导致系统的自我毁灭后,显然是稳定的和有界的发展。在这种情况下,数值高效的动力学映射是有用的,以解决相空间的精细结构,并确定不稳定行为的来源。

英文摘要:

We describe numerical tools for the stability analysis of extrasolar planetary systems. In particular, we consider the relative Poincare variables and symplectic integration of the equations of motion. We apply the tangent map to derive a numerically efficient algorithm of the fast indicator MEGNO (a measure of the maximal Lyapunov exponent) that helps to distinguish chaotic and regular configurations. The results concerning the three-planet extrasolar system HD 37124 are presented and discussed. The best fit solutions found in earlier works are studied more closely. The system involves Jovian planets with similar masses. The orbits have moderate eccentricities, nevertheless the best fit solutions are found in dynamically active region of the phase space. The long term stability of the system is determined by a net of low-order two-body and three-body mean motion resonances. In particular, the three-body resonances may induce strong chaos that leads to self-destruction of the system after Myrs of apparently stable and bounded evolution. In such a case, numerically efficient dynamical maps are useful to resolve the fine structure of the phase space and to identify the sources of unstable behavior.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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