1209.5186 (Donglun Wu et al.)

Existence of Hyperbolic Orbits for N-body Type Problems    [PDF]

Donglun Wu, Shiqing Zhang

In this paper, we use variational minimizing method to prove the existence of hyperbolic solution with a prescribed positive energy for N-body type problems with strong forces. Firstly, we get periodic solutions using suitable constraints, then by taking limit about a sequence of periodic solutions, we get the hyperbolic orbits.

View original: http://arxiv.org/abs/1209.5186