Application of the Prendergast method to a logarithmic potential

Details Application of the Prendergast method to a logarithmic potential Application of the Prendergast method to a logarithmic potential

Jan 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...227...49c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 227, no. 1, Jan. 1990, p. 49-53.

Statistics

Computation

13

Barred Galaxies, Computational Astrophysics, Kinematics, Potential, Equations Of Motion, Galactic Bulge, Orbital Mechanics, Perturbation Theory

Scientific paper

The method originally developed by Prendergast (1982) for second-order nonlinear ordinary differential equations is used to find approximate solutions of the Hamiltonian equations of motion in the form of rational functions. This procedure makes it possible to find simple families of periodic orbits and bifurcations of double-period families of periodic orbits, which agree very well with the numerically calculated orbits.

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