dorsal/arxiv
View SchemaCircular Orbits under Central Forces in Special Relativity
| Authors | J M Aguirregabiria, A Hernández, M Rivas |
|---|---|
| Categories | |
| ArXiv ID | physics/0407049 |
| URL | https://arxiv.org/abs/physics/0407049 |
Abstract
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 $2<n<3$.
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"date_created": "2026-03-02T18:00:50.143000Z",
"date_modified": "2026-03-02T18:00:50.143000Z",
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"abstract": "We discuss the existence and stability of circular orbits of a relativistic\npoint particle moving in a central force field. The stability condition is\nsomewhat more restrictive in Special Relativity. In the particular case of\nattractive central force fields proportional to $1/r^n$, we find the values the\nangular momentum may have in circular orbits and show that, unlike in the\nnon-relativistic limit, the latter are not always stable in Special Relativity\nfor $2\u003cn\u003c3$.",
"arxiv_id": "physics/0407049",
"authors": [
"J M Aguirregabiria",
"A Hern\u00e1ndez",
"M Rivas"
],
"categories": [
"physics.ed-ph",
"physics.class-ph"
],
"title": "Circular Orbits under Central Forces in Special Relativity",
"url": "https://arxiv.org/abs/physics/0407049"
},
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