Exact Periodic Orbits and Chaos in Polynomial Potentials |
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Authors: | ND Caranicolas |
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Institution: | (1) Section of Astrophysics, Astronomy and Mechanics,Department of Physics, University of Thessaloniki, GR-54006 Thessaloniki, Greece; E-mail |
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Abstract: | Using the theory of the inverse problem, we construct galactic type potentials based on perturbed harmonic oscillators, producing
exact analytic trajectories represented by second-order curves. The various families of orbits are examined in these potentials.
It is found, that there are cases where our galactic models produce exact analytic orbits and chaotic orbits as well. The
coexistence of analytic and chaotic orbits, happens when the energy of the test particle is close to the energy of escape.
Comparison with previous work is also made.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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