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Poisson integrator for symmetric rigid bodies
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 axis...
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| Format: | Default Preprint |
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2004
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| Online Access: | https://hdl.handle.net/2134/232 |
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| _version_ | 1818174480894132224 |
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| author | Holger R. Dullin |
| author_facet | Holger R. Dullin |
| author_sort | Holger R. Dullin (7159922) |
| collection | Figshare |
| description | 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. |
| format | Default Preprint |
| id | rr-article-9384383 |
| institution | Loughborough University |
| publishDate | 2004 |
| record_format | Figshare |
| spelling | rr-article-93843832004-01-01T00:00:00Z Poisson integrator for symmetric rigid bodies Holger R. Dullin (7159922) Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified 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. 2004-01-01T00:00:00Z Text Preprint 2134/232 https://figshare.com/articles/preprint/Poisson_integrator_for_symmetric_rigid_bodies/9384383 CC BY-NC-ND 4.0 |
| spellingShingle | Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified Holger R. Dullin Poisson integrator for symmetric rigid bodies |
| title | Poisson integrator for symmetric rigid bodies |
| title_full | Poisson integrator for symmetric rigid bodies |
| title_fullStr | Poisson integrator for symmetric rigid bodies |
| title_full_unstemmed | Poisson integrator for symmetric rigid bodies |
| title_short | Poisson integrator for symmetric rigid bodies |
| title_sort | poisson integrator for symmetric rigid bodies |
| topic | Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified |
| url | https://hdl.handle.net/2134/232 |