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

Autor(en)
Harald Posch, Walter Thirring
Abstrakt

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(en)
Computergestützte Physik und Physik der Weichen Materie
Journal
Journal of Mathematical Physics
Band
41
Seiten
3430-3447
Anzahl der Seiten
18
ISSN
0022-2488
DOI
https://doi.org/10.1063/1.533318
Publikationsdatum
2000
Peer-reviewed
Ja
ÖFOS 2012
103036 Theoretische Physik
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/5d172fb3-febf-4bd5-9d5d-afbc8cdbcbea