等时性在自引力系统形成演化中的地位
The status of isochrony in the formation and evolution of self-gravitating systems
摘要：
在位能理论中，等时性是由Michel Hénon在1959年引入的，用来描述某些球状星团的天体物理观测。今天，Michel Henon的等时线势主要用于数值模拟中的可积性，但通常并不真正为人所知。在最近的一篇论文[29]中，我们提出了关于等时性的新的基本和理论结果，这些结果在自引力动力学中特别重要，本文将详细介绍。特别是，新的表征的等时线状态已被提出，研究，以分析产品的快速弛豫的自引力系统。一般的范例包括考虑该产品是一个降低的等温球（国王模型）。详细的数值研究表明，当等时线模型成功地再现了快速弛豫后得到的准平衡态时，这种范式就失效了。
英文摘要：
In the potential theory, isochrony was introduced by Michel Hénon in 1959 to characterize astrophysical observations of some globular clusters. Today, Michel Henon's isochrone potential is mainly used for his integrable property in numerical simulations, but is generally not really known. In a recent paper [29], we have presented new fundamental and theoretical results about isochrony that have particular importance in self-gravitating dynamics and which are detailed in this paper. In particular, new characterization of the isochrone state has been proposed which are investigated in order to analyze the product of the fast relaxation of a self-gravitating system. The general paradigm consists in considering that this product is a lowered isothermal sphere (King Model). By a detailed numerical study we show that this paradigm fails when the isochrone model succeeds in reproducing the quasi-equilibrium state obtained just after fast relaxation.
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