rigid body dynamics



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theory (physics), model (physics)

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The mechanics of rigid bodies in Cartesian space.

Up to the dynamics of the center of mass?, this is the special case of Hamiltonian dynamics on Lie groups for the case of the special orthogonal group SO(n)SO(n).

Often this is considered (only) for n=3n = 3, which is the case pertaining to rigid bodies in observable nature, hence using SO(3).


A general introduction is in section 1.1d of

A discussion from the more general perspective of Hamiltonian dynamics on Lie groups is in section 4.4 of

A discussion of rigid body dynamics as a special case of the general Euler-Arnold equation is at

References from the point of view of Geometric Algebra include

Discussion of (geometric) quantization of rigid bodies is in