A semi-numerical method for periodic orbits in a bisymmetrical potential

Details A semi-numerical method for periodic orbits in a bisymmetrical potential A semi-numerical method for periodic orbits in a bisymmetrical potential

2012-02-18

arxiv.org/abs/1202.4084v1

Mechanics Research Communication, 2012, 40, 41-45

Physics

Computational Physics

Published in Mechanics Research Communication journal, 6 pages, 5 figures and 6 tables

Scientific paper

10.1016/j.mechrescom.2012.01.004

We use a semi-numerical method to find the position and period of periodic orbits in a bisymmetrical potential, made up of a two dimensional harmonic oscillator, with an additional term of a Plummer potential, in a number of resonant cases. The results are compared with the outcomes obtained by the numerical integration of the equations of motion and the agreement is good. This indicates that the semi-numerical method gives general and reliable results. Comparison with other methods of locating periodic orbits is also made.

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