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Generalized periodic orbits in some restricted three-body problems

Authors :
Ortega, Rafael
Zhao, Lei
Publication Year :
2020

Abstract

We treat the circular and elliptic restricted three-body problems in inertial frames as periodically forced Kepler problems with additional singularities and explain that in this setting the main result of [4] is applicable. This guarantees the existence of an arbitrary large number of generalized periodic orbits (periodic orbits with possible double collisions regularized) provided the mass ratio of the primaries is small enough.<br />Comment: 10 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2007.01619
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/s00033-021-01470-5