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Title: Poisson integrator for symmetric rigid bodies
Authors: Dullin, Holger R.
Issue Date: 2004
Abstract: 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.
Description: 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.
URI: https://dspace.lboro.ac.uk/2134/232
Appears in Collections:Pre-prints (Maths)

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