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The theory of star cluster dynamics was a major topic in H\'enon's early research career. Here we summarise his contributions under three headings: (i) the Monte Carlo method, (ii) homological evolution of star clusters, and (iii) escape…

In the potential theory, isochrony was introduced by Michel H\'enon in 1959 to characterize astrophysical observations of some globular clusters. Today, Michel Henon's isochrone potential is mainly used for his integrable property in…

This paper is an English translation of Michel H\'enon's thesis, "Sur l'\'evolution dynamique des amas globulaires" originally published in French in the Annales d'Astrophysique, Vol. 24, p.369 (1961).

We summarize the results of recent theoretical work on the dynamical evolution of globular clusters containing primordial binaries. Even a very small initial binary fraction (e.g., 10%) can play a key role in supporting a cluster against…

This paper is an English translation of Michel H\'enon's article, "Sur l'\'evolution dynamique des amas globulaires. II- L'amas isol\'e" originally published in French in the Annales d'Astrophysique, Vol. 28, p.62 (1965). A translation of…

A variation of Newton's method of mapping Kepler's orbits into orbits in the simple harmonic oscillator is shown to give Henon's Isochrone. The statistical mechanics of a micro-canonical ensemble of isochrone oscillators shows that the…

Paper in honour of Michel Henon, based on a talk presented at Institut Henri Poincare, Paris, 5 Decembre 2013.

A survey of Michel Henon contributions to the study of globular cluster systems.

Fifteen years after the discovery of dynamical friction by Chandrasekhar, Michel Henon attempts to solve the longstanding problem of the divergence of the friction suffered by the perturber and caused by the most distant cluster stars. His…

The talk consisted mainly in commenting in a linear way the seminal paper in 1964 by Michel Henon and graduate student Carl Heiles at Princeton University: "The applicability of the third integral of motion: Some numerical experiments" in…

Compact object clusters are likely to exist in the centre of some galaxies because of mass segregation. The high densities and velocities reached in them deserves a better understanding. The formation of binaries and their subsequent…

Utilizing a series of N-body simulations, we argue that gravitationally bound stellar clusters of modest population evolve very differently from the picture presented by classical dynamical relaxation theory. The system's most massive stars…

Evolution with mass segregation and the evolution of the rotation of cores are both discussed for self-similar core collapse. Evolution with angular velocity proportional to the square root of the density is predicted. On the Dynamical Main…

We analyze the dynamical evolution of binary stars that interact with a static background of single stars in the environment of a massive black hole (MBH). All stars are considered to be single mass, Newtonian point particles. We follow the…

This article reviews Michel Henon's contributions to a diverse set of problems in astrophysical dynamics, including violent relaxation, Saturn's rings, roundoff error in orbit integrations, and planet formation.

Upon their formation, dynamically cool (collapsing) star clusters will, within only a few million years, achieve stellar mass segregation for stars down to a few solar masses, simply because of gravitational two-body encounters. Since…

In this review I first summarize why binaries are key objects in the study of stellar populations, key objects to understand the evolution of star clusters, key objects to understand galaxies and thus the universe. I then focus on 4…

We investigate the formation, gravitational clustering and interactions of solitons in a self-interacting, non-relativistic scalar field in an expanding universe. Rapid formation of large number of solitons is driven by attractive…

We present a simple model illustrating how a highly relativistic, compact object which is stable in isolation can be driven dynamically unstable by the tidal field of a binary companion. Our compact object consists of a test-particle in a…

This paper, and its companion, investigate the evolution of dense stellar systems due to the influence of two-body gravitational encounters, physical collisions and stellar evolution. Our goal is the simulation of the densest centers of…