本文用圆型限制三体问题的Jacobi积分来建立一个能确定卫星是否稳定的测检函数.凡是对其主行星所作的瞬时椭圆轨道要素已知的卫星都可检定其稳定性.对于作准圆形轨道运动的卫星,我们可用电子计算机来求出它的稳定域,这域的界面是一个近似的扁椭球面.这闭面所包围的空间比“引力作用球”和其相应的卫星区的“Hill曲面”要小得多.由于卫星对其主行星的相对动能表示式对顺行和逆行轨道两者形式相同,所以两者可以在卫星的稳定域中同时存在. In this paper, a Jacobi integral with a circular constraint on the three-body problem is used to establish a test function that can determine whether a satellite is stable or not. All the satellites whose instantaneous elliptical orbit elements are known by their principal planets can verify their stability. Orbiting satellites, we can use electronic computers to find its stability domain, the domain interface is an approximate oblate ellipsoid, which encloses the space than the “gravitational sphere” and its corresponding satellite area “ Hill surface. ”Because the satellite’s relative kinetic representation of its main planet is the same for both the antecedent and the retrograde orbit, both can coexist in the stable domain of the satellite.