On gravitational orbits and the virial theorem |
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| Authors: | J. L. Brun A. F. Pacheco |
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| Affiliation: | (1) Departamento de Física Aplicada, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain;(2) Departamento de Física Teorica, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain |
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| Abstract: | We emphasize the sharp distinctions between different one-body gravitational trajectories made by the ratio of time averagesR(t) – Ekin /Epot.R is calculated as a function of the eccentricity (e) and of the energy (E). Whent  , independently ofe andE, R1/2 for closed orbits (this clearly illustrates the fulfillment of the virial theorem in classical mechanics); whereasR 1, at any time, for open orbits. |
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