Four- and five-body periodic Caledonian orbits
Open Access
- 1 October 2019
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the International Astronomical Union
- Vol. 15 (S364), 140-145
- https://doi.org/10.1017/s1743921321001265
Abstract
We consider four- and five-body problems with symmetrical masses (Caledonian problems). Families of periodic orbits originate from the collinear Schubart orbits. We present and discuss some of these periodic orbits.Keywords
This publication has 11 references indexed in Scilit:
- The family of planar periodic orbits generated by the equal-mass four-body Schubart interplay orbitCelestial Mechanics and Dynamical Astronomy, 2018
- Symmetric Four-mass Schubart-like SystemsProceedings of the International Astronomical Union, 2014
- A global regularisation for integrating the Caledonian symmetric four-body problemCelestial Mechanics and Dynamical Astronomy, 2010
- A Family of Symmetrical Schubart-Like Interplay Orbits and their Stability in the One-Dimensional Four-Body ProblemCelestial Mechanics and Dynamical Astronomy, 2006
- On the Symmetric Collinear Four-Body ProblemPublications of the Astronomical Society of Japan, 2004
- The Symmetrical One-dimensional Newtonian Four-body Problem: A Numerical InvestigationCelestial Mechanics and Dynamical Astronomy, 2002
- Action-Minimizing Orbits in the Parallelogram Four-Body Problem with Equal MassesArchive for Rational Mechanics and Analysis, 2001
- The Caledonian Symmetrical Double Binary Four-Body Problem I: Surfaces of Zero-Velocity Using the Energy IntegralCelestial Mechanics and Dynamical Astronomy, 2000
- A family of periodic solutions of the planar three-body problem, and their stabilityCelestial Mechanics and Dynamical Astronomy, 1976
- A global regularisation of the gravitationalN-body problemCelestial Mechanics and Dynamical Astronomy, 1974