UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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Conference: Bucharest University Faculty of Physics 2005 Meeting


Section: Theoretical Physics and Applied Mathematics Seminar


Title:
Relativistic equation of the orbit of a particle in an arbitrary central force field


Authors:
Francisc D. Aaron


Affiliation:
Department of Theoretical Physics, Faculty of Physics, University of Bucharest, P.O. Box MG-II, 76900 Bucharest - Magurele, Romania


E-mail
faar@shogun.fizica.unibuc.ro


Keywords:


Abstract:
The equation of the orbit of a relativistic particle moving in an arbitrary central force field is derived. Straightforward generalizations of well-known first and second order differential equations are thus given. It is pointed out that the relativistic equation of the orbit has the same form as in the non-relativistic case, the only changes consisting in the appearance of additional terms proportional to l/c2 in both potential and total energies.