Global existence and singularity of the Hill's type lunar problem with strong potential
Dynamical Systems
2022-05-17 v1 Analysis of PDEs
Classical Analysis and ODEs
Abstract
We characterize the fate of the solutions of Hill's type lunar problem using the ideas of ground states from PDE. In particular, the relative equilibrium will be defined as the ground state, which satisfies some crucial energetic variational properties in our analysis. We study the dynamics of the solutions below, at, and (slightly) above the ground state energy threshold.
Keywords
Cite
@article{arxiv.2010.05130,
title = {Global existence and singularity of the Hill's type lunar problem with strong potential},
author = {Yanxia Deng and Slim Ibrahim},
journal= {arXiv preprint arXiv:2010.05130},
year = {2022}
}
Comments
36 pages, 7 figures