文章基本信息

标题：DYNAMICAL INSTABILITIES IN HIGH-OBLIQUITY SYSTEMS
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作者：D. Tamayo ; J. A. Burns ; D. P. Hamilton 等
期刊名称：The Astronomical journal
印刷版ISSN：0004-6256
电子版ISSN：1538-3881
出版年度：2013
卷号：145
期号：3
DOI：10.1088/0004-6256/145/3/54
语种：English
出版社：American Institute of Physics
摘要：High-inclination circumplanetary orbits that are gravitationally perturbed by the central star can undergo Kozai oscillations—large-amplitude, coupled variations in the orbital eccentricity and inclination. We first study how this effect is modified by incorporating perturbations from the planetary oblateness. Tremaine et al. found that, for planets with obliquities >68875, orbits in the equilibrium local Laplace plane are unstable to eccentricity perturbations over a finite radial range and execute large-amplitude chaotic oscillations in eccentricity and inclination. In the hope of making that treatment more easily understandable, we analyze the problem using orbital elements, confirming this threshold obliquity. Furthermore, we find that orbits inclined to the Laplace plane will be unstable over a broader radial range, and that such orbits can go unstable for obliquities less than 68875. Finally, we analyze the added effects of radiation pressure, which are important for dust grains and provide a natural mechanism for particle semimajor axes to sweep via Poynting-Robertson drag through any unstable range. For low-eccentricity orbits in the equilibrium Laplace plane, we find that generally the effect persists; however, the unstable radial range is shifted and small retrograde particles can avoid the instability altogether. We argue that this occurs because radiation pressure modifies the equilibrium Laplace plane.
关键词：celestial mechanics;planets and satellites: dynamical evolution and stability