Preprints are manuscripts made publicly available before they have been submitted for formal peer review and publication. They might contain new research findings or data. Preprints can be a draft or final version of an author's research but must not have been accepted for publication at the time of submission.
posted on 21.07.2005by Holger R. Dullin
We derive an explicit second order reversible Poisson integrator for
symmetric rigid bodies in space (i.e. without a fixed point). The integrator
is obtained by applying a splitting method to the Hamiltonian
after reduction by the S1 body symmetry. In the particular case of a
magnetic top in an axisymmetric magnetic field (i.e. the Levitron) this
integrator preserves the two momentum integrals. The method is used
to calculate the complicated boundary of stability near a linearly stable
relative equilibrium of the Levitron with indefinite Hamiltonian.
This pre-print has been submitted, and accepted, to the journal, Regular and chaotic dynamics. The definitive version: DULLIN, H.R., 2004. Poisson integrator for symmetric rigid bodies. Regular and chaotic dynamics, 9(3), pp.255-264.