The hierarchical stability of the seven known large size ratio triple asteroids using the empirical stability parameters |
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Authors: | Xiaodong Liu Hexi Baoyin Franck Marchis |
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Affiliation: | 1. School of Aerospace, Tsinghua University, Beijing, 100084, China 2. Carl Sagan Center, SETI Institute, 189 Bernardo Avenue, Mountain View, CA, 94043, USA
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Abstract: | In this study, the hierarchical stability of the seven known large size ratio triple asteroids is investigated. The effect of the solar gravity and primary’s J 2 are considered. The force function is expanded in terms of mass ratios based on the Hill’s approximation and the large size ratio property. The empirical stability parameters are used to examine the hierarchical stability of the triple asteroids. It is found that the all the known large size ratio triple asteroid systems are hierarchically stable. This study provides useful information for future evolutions of the triple asteroids. |
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