Resonant periodic orbits in a bisymmetrical potential

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Elliptical Galaxies, Orbit Calculation, Eigenvectors, Orbit Perturbation, Resonance

Scientific paper

In the present paper, the properties of several families of resonant periodic orbits in a general, time-independent, two-dimensional potential field, symmetric with respect to both axes x and yy are discussed. The different cases are classified by varying the parameters of the problem. In order to verify the theoretical results, some numerical examples are also presented.

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