The status of isochrony in the formation and evolution of self-gravitating systems

april, 2019
Publication type:
Paper in peer-reviewed journals
Monthly Notices of the Royal Astronomical Society
Oxford University Press (OUP): Policy P - Oxford Open Option A
images/icons/icon_arxiv.png 1902.01095
Keywords :
Gravitation; Globular clusters: general; Galaxies: general; Galaxy: kinematics and dynamics; methods: numerical.
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], new fundamental and theoretical results about isochrony that have particular importance in self-gravitating dynamics have been presented and 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 which is obtained just after fast relaxation.
title (translation) :
La propriété d'isochronie dans la formation et l'évolution des systèmes auto-gravitants
    author={Alicia Simon-Petit and Jérôme Perez and Guillaume Plum },
    title={The status of isochrony in the formation and evolution of 
           self-gravitating systems },
    doi={10.1093/mnras/stz351 },
    journal={Monthly Notices of the Royal Astronomical Society },
    year={2019 },