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Abstract: We conducted extensive numerical experiments of equal mass three-body systemsuntil they became disrupted. The system lifetimes, as a bound triple, and theLyapunov times show a correlation similarto what has been earlier obtained forsmall bodies in the Solar System. Numerical integrations of several sets ofdifferently randomised initial conditions produced the same relationship of theinstability time and Lyapunov time. Marginal probability densities of thevarious times in the three-body experiments are also discussed. Our highaccuracy numerical method for three-body orbit computations and Lyapunov timedeterminations is concisely described.



Author: Seppo Mikkola, Kiyotaka Tanikawa

Source: https://arxiv.org/







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