On an unharmonic oscillator potential for elliptical galaxies |
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| Authors: | N. Caranicolas M. Gousidou-Koutita |
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| Affiliation: | (1) Astronomy Department, University of Thessaloniki, 54006 Thessaloniki, Greece;(2) Department of Mathematics, University of Thessaloniki, 54006 Thessaloniki, Greece |
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| Abstract: | Using a direct numerical procedure we approximate a ’realistic’ potential for an elliptical galaxy by that of a perturbed harmonic oscillator. The quality of fitting is checked using two criteria. First by computing the value of the fitting parameterf, and second by comparing the behaviour of orbits for the two potentials. Both criteria suggest that the fitting is good when the total energyh is smaller than the energy of escape in the unharmonic potential. |
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| Keywords: | galactic potentials— elliptical galaxies— stellar dynamics |
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