45 citations · 146 across the 17 of their papers we have counts for
17 papers
New Methods of Isochrone Mechanics
Paul Ramond, Jérôme Perez
Isochrone potentials, as defined by Michel Hénon in the fifties, are spherically symmetric potentials within which a particle orbits with a radial period that is independent of its…
The Geometry of Isochrone Orbits: from Archimedes' parabolae to Kepler's third law
Paul Ramond, Jérôme Perez
In classical mechanics, the Kepler potential and the Harmonic potential share the following remarkable property: in either of these potentials, a bound test particle orbits with a…
The status of isochrony in the formation and evolution of self-gravitating systems
Alicia Simon-Petit, Jérôme Perez, Guillaume Plum
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 pote…
Isochrony in 3D radial potentials. From Michel Hénon ideas to isochrone relativity: classification, interpretation and applications
Alicia Simon-Petit, Jérôme Perez, Guillaume Duval
Revisiting and extending an old idea of Michel Hénon, we geometrically and algebraically characterize the whole set of isochrone potentials. Such potentials are fundamental in pote…
Refinements in the Jungle Universes
Alicia Simon-Petit, Han-Hoe Yap, Jérôme Perez
How can effective barotropic matter emerge from the interaction of cosmological fluids in an isotropic and homogeneous cosmological model ? The dynamics of homogeneous and isotropi…
A marvelous contribution from Michel Henon to globular cluster's study : the isochrone cluster
Jerome Perez
A survey of Michel Henon contributions to the study of globular cluster systems.