Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - Part II

Details Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - Part II Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - Part II

2004-01-14

arxiv.org/abs/math/0401146v1

Mathematics

Dynamical Systems

18 pages, 5 figures

Scientific paper

10.1007/s00220-005-1374-x

We present a method for proving the existence of symmetric periodic, heteroclinic or homoclinic orbits in dynamical systems with the reversing symmetry. As an application we show that the Planar Restricted Circular Three Body Problem (PCR3BP) corresponding to the Sun-Jupiter-Oterma system possesses an infinite number of symmetric periodic orbits and homoclinic orbits to the Lyapunov orbits. Moreover, we show the existence of symbolic dynamics on six symbols for PCR3BP and the possibility of resonance transitions of the comet. This extends earlier results by Wilczak and Zgliczynski - Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - A Computer Assisted Proof, Commun. Math. Phys. 234, 37-75 (2003).

Affiliated with

Also associated with

No associations

Rating

Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - Part II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - Part II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - Part II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-634377