Comment on a theorem of Hamilton
Symplectic Geometry
2015-01-08 v1
Authors:
Richard Cushman
Abstract
This paper gives a slight refinement of a theorem of Hamilton, which shows that the velocity of a Keplerian motion moves on a circle.
Cite
@article{arxiv.1501.01354,
title = {Comment on a theorem of Hamilton},
author = {Richard Cushman},
journal= {arXiv preprint arXiv:1501.01354},
year = {2015}
}
Related papers
View all related →
Mathematical Physics · Physics
Asymptotic Hamiltonian reduction for the dynamics of a particle on a surface
V. L. Golo, D. O. Sinitsyn
2007-05-23
Classical Physics · Physics
Orbital velocity
Giuseppina Modestino
2016-02-02
General Relativity and Quantum Cosmology · Physics
Newton's Theorem of Revolving Orbits in Curved Spacetime
Pierre Christian
2016-10-06
Classical Physics · Physics
From Kepler's Laws to Newtonian Motion and the Direction Angle of Hamilton's Hodograph
Klaus Huber
2021-01-14
Astrophysics · Physics
Hamilton's Eccentricity Vector Generalised to Newton Wonders
D. Lynden-Bell
2007-05-23
General Relativity and Quantum Cosmology · Physics
Spinning bodies in General Relativity
J. W. van Holten
2016-12-21
General Relativity and Quantum Cosmology · Physics
Particles on a Circle in Canonical Lineal Gravity
R. B. Mann
2009-11-07
Mathematical Physics · Physics
Nekhoroshev theorem for perturbations of the central motion
Dario Bambusi, Alessandra Fuse'
2017-03-08
Quantum Physics · Physics
A Spinning Particle in a Mobius Strip
J. A. Nieto, R. Perez-Enriquez
2011-03-01
Mathematical Physics · Physics
Kepler motion on single-sheet hyperboloid
Yu. A. Kurochkin, V. S. Otchik, L. G. Mardoyan, D. R. Petrosyan +1
2017-09-13
General Relativity and Quantum Cosmology · Physics
Equation of Motion of Small Bodies in Relativity
Jurgen Ehlers, Robert Geroch
2008-11-26
General Physics · Physics
The velocity and angular momentum of a free Dirac electron
Lu Lin
2007-05-23
Accelerator Physics · Physics
Particle Motion in Hamiltonian Formalism
Yannis Papaphilippou
2024-02-27
Mathematical Physics · Physics
Hamilton Dynamics on Clifford Kaehler Manifolds
Mehmet Tekkoyun
2009-02-25
Quantum Physics · Physics
Hamiltonian Formulation of the Pilot-Wave Theory
Dan N. Vollick
2021-02-03
High Energy Physics - Theory · Physics
Particle on a torus knot: a Hamiltonian analysis
Praloy Das, Subir Ghosh
2016-08-24
Mathematical Physics · Physics
Dynamics on the cone: closed orbits and superintegrability
Y. Brihaye, P. Kosiński, P. Maślanka
2015-06-17
General Relativity and Quantum Cosmology · Physics
Motion of a spinning particle under the conservative piece of the self-force is Hamiltonian to first order in mass and spin
Francisco M. Blanco, Éanna É. Flanagan
2023-06-21
Classical Physics · Physics
Wheels within wheels: Hamiltonian dynamics as a hierarchy of action variables
Rory J. Perkins, Paul M. Bellan
2015-05-19
General Relativity and Quantum Cosmology · Physics
Motion of a spinning particle in curved space-time
S. Satish Kumar
2015-12-23
Differential Geometry · Mathematics
Hamilton's Theorem (on the compactness of pinched hypersurfaces) via mean curvature flow
Theodora Bourni, Mat Langford, Stephen Lynch
2022-11-24
Dynamical Systems · Mathematics
KdV Hamiltonian as function of actions
Evgeny Korotyaev, Sergei Kuksin
2011-10-21
High Energy Physics - Theory · Physics
Quantization of the Particle Motion on the $n$-Dimensional Sphere
Petre Diţă
2007-05-23
Mathematical Physics · Physics
Hamiltonian Dynamics for the Kepler Problem in a Deformed Phase Space
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji
2021-09-07
Quantum Physics · Physics
Moving system with speeded-up evolution
M. I. Shirokov
2009-11-13