Relative Effect of Inclinations for Moonlets in the Triple Asteroidal Systems

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• 作者：Yu Jiang ; Hexi Baoyin ; Yun Zhang
• 关键词：Triple asteroidal system ; Minor celestial bodies ; Nonlinear dynamics
• 刊名：Earth, Moon, and Planets
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：119
• 期：2-3
• 页码：65-83
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Astronomy, Observations and Techniques; Planetology; Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics); Astrophysics and Astroparticles;
• 出版者：Springer Netherlands
• ISSN：1573-0794
• 卷排序：119

文摘

We present the analysis and computational results for the inclination relative effect of moonlets of triple asteroidal systems. Perturbations on moonlets due to the primary’s non-sphericity gravity, the solar gravity, and moonlets’ relative gravity are discussed. The inclination vector for each moonlet follows a periodic elliptical motion; the motion period depends on the moonlet’s semi-major axis and the primary’s J2 perturbations. Perturbation on moonlets from the Solar gravity and moonlet’s relative gravity makes the motion of the x component of the inclination vector of moonlet 1 and the y component of the inclination vector of moonlet 2 to be periodic. The mean motion of x component and the y component of the inclination vector of each moonlet forms an ellipse. However, the instantaneous motion of x component and the y component of the inclination vector may be an elliptical disc due to the coupling effect of perturbation forces. Furthermore, the x component of the inclination vector of moonlet 1 and the y component of the inclination vector of moonlet 2 form a quasi-periodic motion. Numerical calculation of dynamical configurations of two triple asteroidal systems (216) Kleopatra and (153591) 2001 SN263 validates the conclusion.