Results 231 to 240 of about 11,457,962 (286)

The diamagnetic Kepler problem

Zeitschrift für Physik D Atoms, Molecules and Clusters, 1993
It has turned out that the analysis ofclassical periodic orbits is the key to understanding the modulations in thequantal spectra of hydrogen Rydberg atoms in magnetic fields. Inspired by this quantum chaological connection, we analyse some fundamental periodic orbits of the diamagnetic Kepler problem, abandoning the condition of vanishing azimuthal ...
W. Schweizer, R. Niemeier, G. Wunnel, H. Ruder   +3 more
openaire   +1 more source

Kepler-Ermakov problems

Journal of Physics A: Mathematical and General, 1991
Summary: A class of dynamical systems is presented which includes, as special cases, both the (autonomous) Ermakov system and central force problems of Kepler type with angular dependence of the force. It is shown that all members of this class are linearizable up to a pair of quadratures.
openaire   +1 more source

Numerical precession in variational discretizations of the Kepler problem

, 2016
Kepler’s first law states that the orbit of a point mass with negative energy in a classical gravitational potential is an ellipse with one of its foci at the gravitational center.
Mats Vermeeren
semanticscholar   +1 more source

Global Kepler Problem

2016
We provide a global analysis of the Kepler problem as an example of a mechanical system which is characterized by its symmetries in full.
openaire   +1 more source

The Kepler Problem S‐Sphere and the Kepler Manifold

Meccanica, 1998
As an outcome of the author's previous work on unitary configuration space description of the classical Kepler problem [Celest. Mech. Dyn. Astron. 60, No. 3, 291-305 (1994; Zbl 0821.70005)], it is shown how the peculiar characterization of the Kepler orbits introduced by \textit{J. F. Carinena} et al. [Celestical Mech. Dyn. Astron. 52, No.
openaire   +2 more sources

Stabilization of Kepler's problem

Celestial Mechanics, 1977
A regularization of Kepler's problem due to Moser (1970) is used to stabilize the equations of motion. In other words, a particular solution of Kepler's problem is imbedded in a Liapunov stable system. Perturbations can be introduced into the stabilized equations.
openaire   +1 more source

Stochastic mechanics and the Kepler problem

Physical Review D, 1986
The stochastic mechanics of Nelson and Guerra is formulated for the hydrogen atom. We demonstrate that this simple quantum system can be described in terms of three independent Gaussian Markov processes which are driven (controlled) by the classical Kepler problem.
openaire   +2 more sources

A Note on the Kepler Problem

Journal of Dynamical and Control Systems, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Die Invarianzgruppe des Oszillator‐Kepler‐Problems

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1979
AbstractEs wird eine sechsparametrige Gruppe kanonischer Transformationen konstruiert, welche die Hamiltonfunktion der Kepler‐bewegung — mit der exzentrischen Anomalie als unabhängiger Variablen — invariant lassen. Diese Gruppe ist isomorph zur vierdimensionalen Drehgruppe SO(4) und ist dadurch ausgezeichnet, daß sich die Impulse untereinander ...
openaire   +1 more source

A dissipative Kepler problem with a family of singular drags

, 2020
A. Margheri, Mauricio Misquero
semanticscholar   +1 more source