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Generalized periodic orbits in some restricted three-body problems
- 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
- Subjects :
- Mathematics - Dynamical Systems
Mathematics - Classical Analysis and ODEs
Subjects
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