2004/07/12 by J M Aguirregabiria, J. M. Aguirregabiria, Aguirregabiria, J M +6
Physics and Astronomy · #Astro and Planetary Science #Classical Physics (physics.class-ph) #Cosmology and Gravitation Theories #FOS: Physical sciences #Physics Education (physics.ed-ph) #Relativity and Gravitational Theory #physics.class-ph #physics.ed-ph
paper · pdf · doi:10.48550/arxiv.physics/0407049
7 pages, 0 figures
arxiv created 2004/07/12 · openalex publication_date 2004/07/12 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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/rn, 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.