Institute for Mathematical Physics the Classical Three-body Problem { Where Is Abstract Mathematics, Physical Intuition, Computational Physics Most Powerful?
نویسندگان
چکیده
The classical three-body problem { where is abstract mathematics, physical intuition, computational physics most powerful? We propose a simple oscillator model for the reduced three-body problem to understand the stability of orbits with small eccentricity of the 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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