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

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

Jun 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000jmp....41.3430p&link_type=abstract

Journal of Mathematical Physics, Vol. 41, No. 6, p. 3430 - 3447

Mathematics

Mathematical Physics

1

Three-Body Problem: Restricted, Three-Body Problem: Oscillations, Three-Body Problem: Chaos, Three-Body Problem: Orbit Stability

Scientific paper

The authors 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.

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