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Multiple Closed Orbits of Fixed Energy for 3-body Problems with Gravitational Potentials

作者姓名：	张世清

作者单位：	重庆大学理学院

摘要：	利用等变ＬｊｕｓｔｅｒｎｉｋＳｃｈｎｉｒｅｌｍａｎｎ理论和临界值的最佳上、下界估计及碰撞解的作用泛函值的下界估计，证明了给定能量的３体问题至少存在２个几何不同的周期解。
关键词：	给定能量的3体问题几何不同的周期解等度LjusternikSchnirelmann理论
Multiple Closed Orbits of Fixed Energy for 3 body Problems with Gravitational Potentials

Zhang,Shiqing.Multiple Closed Orbits of Fixed Energy for 3-body Problems with Gravitational Potentials[J].Journal of Chongqing University(Natural Science Edition),1999(2).

Authors:	Zhang Shiqing

Abstract:	Using the equivariant Ljusternik Schnirelmann theory and the best estimates of the upper bound and lower bound of the critical values and the infimum estimate about the functional values on the collision solutions,we obtain results in the large concerning 2 geometrically distinct periodic solutions with a fixed energy for 3 body type problems.

Keywords:	body type problems with a fixed energy geometrically distinct periodic solutions equivariant Ljusternik Schnirelmann theory
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