Isolated Periodic Orbits and Stability in Separable Potentials

Details Isolated Periodic Orbits and Stability in Separable Potentials Isolated Periodic Orbits and Stability in Separable Potentials

Aug 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998cemda..71..289m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 71, Issue 4, p. 289-300 (1998).

Astronomy and Astrophysics

Astronomy

1

Separability, Inverse Problem, Periodic Orbits

Scientific paper

A method for determining the main families of isolated periodic orbits and their characteristic exponents in planar potentials which are separated by a point transformation is proposed. Since these orbits are continued analytically with the same stability, these results are persistent under small perturbations. The method is applied to the two fixed centers problem, the Paul trap and the dipole expansion of an electrostatic potential.

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