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Poisson integrator for symmetric rigid bodies

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preprint
posted on 21.07.2005, 15:46 by 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.

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  • Science

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  • Mathematical Sciences

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692590 bytes

Publication date

2004

Notes

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.

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