Circular Orbits under Central Forces in Special Relativity

Details Circular Orbits under Central Forces in Special Relativity Circular Orbits under Central Forces in Special Relativity

2004-07-12

arxiv.org/abs/physics/0407049v1

Physics

Physics Education

7 pages, 0 figures

Scientific paper

We discuss the existence and stability of circular orbits of a relativistic point particle moving in a central force field. The stability condition is somewhat more restrictive in Special Relativity. In the particular case of attractive central force fields proportional to $1/r^n$, we find the values the angular momentum may have in circular orbits and show that, unlike in the non-relativistic limit, the latter are not always stable in Special Relativity for $2

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