大行星三角秤动点的稳定区域（Ⅱ）

THE STABLE REGIONS OF TRIANGULAR LIBRATION POINTS OF THE PLANETS (Ⅱ)

本文是文［１］的补充，利用文［１］的方法，探讨了内行星与太阳，外行星与太阳各自组成的限制性三体问题三角秤动点附近小天体存在的可能性，分别给出了这些三角秤动点实际稳定区域的定量结果。

This paper is a complement of“The stable regions of triangular libration points of the planets I”. In this paper, based on the method presented in the paper [1], the possibilities keeping small bodies forever in the vicinity of the triangularlibration points of the restricted three-body problems which consist of SUN and one of the inner planets, or of SUN and one of the outer planets, are discussed and analysed by a large number of long time numerical calculations. Some quantitative results on the real stable regions of the triangular libration points of the planets are presented. From the viewpoint of 1/1 orbital resonance, we give the stable regions of triangular libration points of the planets in the ideal cse. In our numerical investigations, symplectic integrator SI6A is adopted and validity of long time numerical results is guaranteed. Our numerical results show that triangular libration points of the outer planets have relatively large stable regions, while the inner planets Mercury and Venus have relatively small stable regions, and the small bodies near the triangular libration points of Earth and Mars can not exist for a long time.