This derivation shows Hamilton’s equations through geometric algebras, highlighting their application in rigid body motion.
We derive Hamilton’s equations in the language of geometric algebras from the general equations that describe dynamics on Lie groups, determined by an arbitrary Hamiltonian. We will then demonstrate how these equations can be utilised to describe the rigid body motion in projective and conformal geometric algebra.
No takes yet. Share an insight, caveat, or question.
Návrat et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: