Abstract.
We describe a numerical method for calculating periodic orbits, which is a generalization of the monodromy method by Baranger et al. to the case of an arbitrary autonomous dynamical system with a constant of motion C. By specifying the constant C to be the pseudoenergy , i.e. a value of the regularized Hamilton function, and applying the general method to the corresponding Hamilton’s equations, we show that this method can be used successfully for calculating periodic orbits of Hamiltonian systems having regularizable singularities in their original Hamilton functions.
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Permanent address: Institute of Physics, P.O. Box 57, 11001, Belgrade, Yugoslavia
E-mail address: nenad@mpipks-dresden.mpg.de
Received June 6, 2002; accepted November 20, 2002 Published online June 27, 2003
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Simonović, N. Calculations of Periodic Orbits for Hamiltonian Systems with Regularizable Singularities. Few-Body-Systems 32, 183–192 (2003). https://doi.org/10.1007/s00601-003-0004-4
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DOI: https://doi.org/10.1007/s00601-003-0004-4