Open Access Research

Lagrangian actions on 3-body problems with two fixed centers

Xiong-rui Wang1 and Sheng He2*

Author Affiliations

1 Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China

2 Department of Mathematics, Sichuan University, Sichuan 610064, P. R. China

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Boundary Value Problems 2012, 2012:28 doi:10.1186/1687-2770-2012-28

Published: 28 February 2012

Abstract

In this paper, we study the existence of figure "∞"-type periodic solution for 3-body problems with strong-force potentials and two fixed centers, and we also give some remarks in the case with Newtonian weak-force potentials.

Mathematical Subject Classification 2000: 34C15; 34C25; 70F10.

Keywords:
3-body problems with two fixed centers; "∞"-type solutions; Lagrangian actions