Robes广义限制三体问题共线平衡点的稳定性
Stability of Collinear Equilibrium Points in Robes's Generalised Restricted Three Body Problem
摘要：
本文研究了Robes广义限制三体问题共线解的稳定性。这个问题是广义的意义上说，更大规模的主要已被视为一个扁球体。我们已经找到了共线平衡点的位置。得到了问题的变分方程。借助于特征根，我们得出共线点不稳定的结论。Robe的结果可以从推广的结果中得到验证。
英文摘要：
We have examined the stability of collinear in Robes's generalised restricted three body problem. The problem is generalised in the sense that more massive primary has been taken as an oblate spheroid. We have found the position of collinear equilibrium points. We have obtained variational equations of the problem. With the help of characteristic roots, we conclude that the collinear points are unstable. Robe's result may be verified from the generalised result.
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