受限制三體問題在雙星運動(dynamics of binary)、聚星(multiple stars)以及行星系統(planetary system)中是眾所皆知且非常重要的。所以，我們在此篇文章研究一個受限制三體問題，此受限制三體問題除了受一般的萬有引力影響外，還包含了環狀帶的萬有引力位能。最後我們發現，除了找到一般的五個平衡點外(有三個平衡點在x軸上，另外兩個平衡點皆在平行y軸的線上)，我們證明出沒有其他任何新的平衡點在此系統上。

The restricted three-body problem is well-known and very important for dynamics of binary, multiple stars and also planetary system. So, motivating by Jiang & Yeh (2006), we study a restricted three-body problem, in which additional gravitational potential from the galaxy is included. Besides the usual five equilibrium points (three collinear and two triangular points), we prove that there is no any new equilibrium point for our system.

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