D. Wilczak, P. Zgliszynski
Heteroclinic Connections between Periodic Orbits in
Planar Restricted Circular Three Body Problem - Part II
(129K, LaTeX 2e with 4 PS Figures)
ABSTRACT. 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).