Some aspects of the classical three-body problem that are close or foreign to physical intuition

Author(s)
Harald Posch, Walter Thirring
Abstract

We propose a simple oscillator model for the reduced three-body problem to understand the stability of orbits with small eccentricity of a light planet. It models the main short-time features for small mass ratios of the other bodies. These results are confronted with the exact mathematical analysis for stability for all times, and with computer simulation results for bigger mass ratios, where chaotic features emerge. Œ 2000 American Institute of Physics.

Organisation(s)
Computational and Soft Matter Physics
Journal
Journal of Mathematical Physics
Volume
41
Pages
3430-3447
No. of pages
18
ISSN
0022-2488
DOI
https://doi.org/10.1063/1.533318
Publication date
2000
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/some-aspects-of-the-classical-threebody-problem-that-are-close-or-foreign-to-physical-intuition(5d172fb3-febf-4bd5-9d5d-afbc8cdbcbea).html