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Journal Articles Monthly Notices of the Royal Astronomical Society Year : 2019

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

La propriété d'isochronie dans la formation et l'évolution des systèmes auto-gravitants

Abstract

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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Dates and versions

hal-02007025 , version 1 (05-02-2019)

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Alicia Simon-Petit, Jérôme Perez, Guillaume Plum. The status of isochrony in the formation and evolution of self-gravitating systems. Monthly Notices of the Royal Astronomical Society, 2019, 484 (4), pp.Pages 4963-4971. ⟨10.1093/mnras/stz351⟩. ⟨hal-02007025⟩
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