arXiv Analytics

Sign in

arXiv:2010.05130 [math.DS]AbstractReferencesReviewsResources

Global existence and singularity of the Hill's type lunar problem with strong potential

Yanxia Deng, Slim Ibrahim

Published 2020-10-11Version 1

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.

Comments: 36 pages, 7 figures
Categories: math.DS, math.AP, math.CA
Related articles: Most relevant | Search more
arXiv:2011.06802 [math.DS] (Published 2020-11-13)
Versal deformations of vector field singularities
arXiv:0809.0277 [math.DS] (Published 2008-09-01)
Structural stability of attractor-repellor endomorphisms with singularities
arXiv:1206.2584 [math.DS] (Published 2012-06-12, updated 2013-05-23)
The evolution of the orbit distance in the double averaged restricted 3-body problem with crossing singularities

Links

Toolbox