Isotropic three-dimensional oscillator in relativistic classical mechanicsL. Homorodean
University of Petrosani, 20 University Street - 332006-Petrosani, Romania
(Received 11 July 2003; accepted in final form 29 January 2004)
The trajectory of the isotropic three-dimensional oscillator in relativistic classical mechanics is derived. Its form depends on the values of the angular momentum l. It is a rosette for 0<l<l0 and a circle for l=l0, where l0 is the maximum value of the angular momentum for a given energy. According to expectation, in the non-relativistic limit, the rosette reduces to an ellipse.
03.30.+p - Special relativity.
45.50.Pk - Celestial mechanics.
© EDP Sciences 2004