On an unharmonic oscillator potential for elliptical galaxies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Elliptical Galaxies, Harmonic Oscillators, Potential Theory, Stellar Motions, Approximation, Astronomical Models, Orbit Calculation, Perturbation Theory, Poincare Spheres

Scientific paper

Using a direct numerical procedure, a 'realistic' potential for an elliptical galaxy is approximated by that of a perturbed harmonic oscillator. The quality of fitting is checked using two criteria. First, by computing the value of the fitting parameter f, and second, by comparing the behavior of orbits for the two potentials. Both criteria suggest that the fitting is good when the total energy h is smaller than the energy of escape in the unharmonic potential.

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