Transverse foliations in the rotating Kepler problem.

Autor: Kim, Seongchan
Zdroj: Journal of Fixed Point Theory & Applications; Feb2024, Vol. 26 Issue 1, p1-43, 43p
Abstrakt: We construct finite energy foliations and transverse foliations of neighbourhoods of the circular orbits in the rotating Kepler problem for all negative energies. This paper would be a first step towards our ultimate goal that is to recover and refine McGehee's results on homoclinics [23] and to establish a theoretical foundation to the numerical demonstration of the existence of a homoclinic–heteroclinic chain in the planar circular restricted three-body problem [20], using pseudoholomorphic curves. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index