Numerical Studies of Hamiltonian Systems and Application to Galactic Potentials

2014/11/17 by D. Pfenniger, Pfenniger, Daniel
Earth and Planetary Sciences · Physics and Astronomy · #Astrophysics of Galaxies (astro-ph.GA) #FOS: Physical sciences #Geophysics and Gravity Measurements #Pulsars and Gravitational Waves Research #Solar and Space Plasma Dynamics

paper · pdf · doi:10.48550/arxiv.1411.4935

openalex publication_date 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 the field of galactic dynamics. Instead of repeating here the lecture of the paper, we advise the reader interested in dynamical systems to study this "must" reading.

Related

• Numerical Experiments
• Analyzing the Effects of Fifth and Seventh Order Terms in a Generalized Henon-Heiles Potential
• Generalized Hamiltonian Dynamics
• On the famous unpublished preprint "Methods of integration which\n preserve the contact transformation property of the Hamilton equations" by\n Ren 'e De Vogelaere
• A few of Michel Henon's contributions to dynamical astronomy