Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987japa....8..331c&link_type=abstract
Journal of Astrophysics and Astronomy (ISSN 0250-6335), vol. 8, Dec. 1987, p. 331-341.
Astronomy and Astrophysics
Astrophysics
2
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.
Caranicolas N.
Gousidou-Koutita M.
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