Trace estimation of a family of periodic Sturm-Liouville operators with application to Robe's restricted three-body problem

被引：1
|
作者：
Zhou, Qinglong [1 ,2 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
[2] Observ Paris, IMCCE, Ave Denfert Rochereau, F-75014 Paris, France
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 05期
关键词：
ELLIPTIC LAGRANGIAN SOLUTIONS; LINEAR-STABILITY; INDEX; FORMULA; ORBITS;
D O I：
10.1063/1.5050496
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider a family of Sturm-Liouville operators on the omega-periodic domain. The bifurcation with respect to the parameter region is studied, and the elliptic regions are estimated by trace formula. At last, these results are used to study the linear stability of the elliptic equilibrium point along the z-axis in Robe's restricted three-body problem.. Published under license by AIP Publishing.
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页数：14
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