Volume 66, Number 1, April 2004
|Page(s)||8 - 13|
|Published online||01 March 2004|
Isotropic three-dimensional oscillator in relativistic classical mechanics
University of Petrosani, 20 University Street - 332006-Petrosani, Romania
Accepted: 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 and a circle for , 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.
PACS: 03.30.+p – Special relativity / 45.50.Pk – Celestial mechanics
© EDP Sciences, 2004
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