一般三体问题中宏观不稳定性与李雅普诺夫时间的关联
Correlation of macroscopic instability and Lyapunov times in the general three-body problem
摘要：
我们对等质量三体系统进行了广泛的数值实验，直到它们被破坏。系统的寿命，作为一个绑定的三元组，和李雅普诺夫时间显示出类似的相关性已经获得了太阳系中的小天体。几组不同随机初始条件的数值积分产生了相同的不稳定时间和李雅普诺夫时间的关系。本文还讨论了三体实验中各时刻的边际概率密度。我们的高精度数值方法的三体轨道计算和李雅普诺夫时间测定的简洁描述。
英文摘要：
We conducted extensive numerical experiments of equal mass three-body systems until they became disrupted. The system lifetimes, as a bound triple, and the Lyapunov times show a correlation similarto what has been earlier obtained for small bodies in the Solar System. Numerical integrations of several sets of differently randomised initial conditions produced the same relationship of the instability time and Lyapunov time. Marginal probability densities of the various times in the three-body experiments are also discussed. Our high accuracy numerical method for three-body orbit computations and Lyapunov time determinations is concisely described.
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