Equilibria in the secular, non-co-planar two-planet problem
Equilibria in the secular, non-co-planar two-planet problem
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DOI：
10.1111/j.1365-2966.2009.14552.x
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发表时间：
2008-12
影响因子：
4.8
通讯作者：
C. Migaszewski;K. Goździewski
中科院分区：
文献类型：
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作者：
C. Migaszewski;K. Goździewski
我们研究了由母星星和两颗大质量行星组成的行星系统的长期动力学。在半长轴比（0.1-0.667）和行星质量比（0.25-2）的宽范围内，以及在整个允许的能量和总角动量范围内的动力学进行了研究。长期模型是通过对三体系统进行半解析平均来构造的。我们专注于平衡的长期哈密顿（周期解的完整系统），我们分析其稳定性。我们试图分类家庭的这些解决方案的角动量积分。我们发现了文献中未知的新平衡。我们的结果是一般性的，可以应用到广泛的一类三体系统，包括配置与一个星星和棕矮星和亚恒星物体。我们还介绍了一些技术方面的数值平均。HD 12661行星系统作为一个例子进行了研究。
We investigate the secular dynamics of a planetary system composed of the parent star and two massive planets in mutually inclined orbits. The dynamics are investigated in wide ranges of semimajor axes ratios (0.1-0.667) and planetary masses ratios (0.25-2), as well as in the whole permitted ranges of the energy and total angular momentum. The secular model is constructed by semi-analytic averaging of the three-body system. We focus on equilibria of the secular Hamiltonian (periodic solutions of the full system) and we analyze their stability. We attempt to classify families of these solutions in terms of the angular momentum integral. We identified new equilibria, yet unknown in the literature. Our results are general and may be applied to a wide class of three-body systems, including configurations with a star and brown dwarfs and substellar objects. We also describe some technical aspects of the seminumerical averaging. The HD 12661 planetary system is investigated as an example configuration.