Timeline for The "Dzhanibekov effect" - an exercise in mechanics or fiction? Explain mathematically a video from a space station
Current License: CC BY-SA 3.0
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| Nov 27, 2011 at 19:24 | comment | added | Terry Tao | Regarding the intuition in your fourth paragraph, the dynamics is always first-order from a Hamiltonian point of view (viewing the state in phase space, combining both position and speed into a single variable). But if there is a symmetry (such as translation symmetry or rotation symmetry) of the dynamics (i.e. a symmetry of both the Hamiltonian and the symplectic form), then one can quotient out the phase space and work with a first-order dynamics on a reduced phase space. In this case, one has rotation symmetry, which allows one to quotient out the rotational position variables. | |
| Nov 27, 2011 at 19:02 | history | edited | Marcos Cossarini | CC BY-SA 3.0 |
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| Nov 27, 2011 at 18:28 | comment | added | Terry Tao | I think $I_2-I_1$ should be $I_1-I_2$ in (3) and (3') (and in the line immediately below (3')). | |
| Nov 27, 2011 at 10:37 | history | edited | Marcos Cossarini | CC BY-SA 3.0 |
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| Nov 27, 2011 at 5:23 | history | answered | Marcos Cossarini | CC BY-SA 3.0 |