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

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  • Nozari, Kourosh
  • Akhshabi, Siamak

Abstract

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.

Suggested Citation

  • Nozari, Kourosh & Akhshabi, Siamak, 2008. "Noncommutative geometry and the stability of circular orbits in a central force potential," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 324-331.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:2:p:324-331
    DOI: 10.1016/j.chaos.2006.09.042
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