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 J2 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.

中文翻译：

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七颗已知大尺寸比三重小行星的等级稳定性使用经验稳定性参数

在这项研究中，研究了七个已知的大尺寸比三重小行星的等级稳定性。考虑了太阳引力和初级 J2 的影响。基于希尔近似和大尺寸比属性，力函数在质量比方面进行了扩展。经验稳定性参数用于检查三颗小行星的等级稳定性。发现所有已知的大尺寸比三重小行星系统都是层次稳定的。这项研究为三颗小行星的未来演化提供了有用的信息。