Published July 2008 | Version v1
Journal article

Noncommutative geometry and the stability of circular orbits in a central force potential

  • 1. Research Institute for Astronomy and Astrophysics of Maragha, P.O. Box 55134-441, Maragha (Iran, Islamic Republic of)
  • 2. Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P.O. Box 47416-1467, Babolsar (Iran, Islamic Republic of)

Description

In this Paper, we investigate the effects of space noncommutativity and the generalized uncertainty principle on the stability of circular orbits of particles in a central force potential. We show that, up to first order in noncommutativity parameter, an angular momentum dependent term will be appear in the equations of the particle orbits which affects the stability of circular orbits. In the case of high angular momentum, the condition for stability of circular orbits will change considerably relative to commutative case

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2006.09.042

Additional details

Identifiers

DOI
10.1016/j.chaos.2006.09.042;
arXiv
arXiv:gr-qc/0608076v2;
PII
S0960-0779(06)00892-7;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
37
Journal Issue
2
Journal Page Range
p. 324-331
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39048287
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANGULAR MOMENTUM; COMMUTATION RELATIONS; EQUATIONS; GEOMETRY; ORBITS; POTENTIALS; STABILITY; UNCERTAINTY PRINCIPLE
Descriptors DEC
MATHEMATICS

Optional Information

Copyright
Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.