Special Session 38: Recent advances in the n-body problem
Variational Construction of Orbits Realizing Symbolic Sequences in the Planar Sitnikov Problem
Mitsuru Shibayama
Kyoto University Japan
Co-Author(s):
Abstract:
We study the limiting case of the Sitnikov problem. By using the variational method, we show the existence of various kinds of solutions in the planar Sitnikov problem. For a given symbolic sequence, we show the existence of orbits realizing it.