Topic
Routhian mechanics.
formulation of classical mechanics in which one Legendre-transforms some, but not all, of generalized velocities into generalized momenta
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About Routhian mechanics
In classical mechanics, Routh's procedure or Routhian mechanics is a hybrid formulation of Lagrangian mechanics and Hamiltonian mechanics developed by Edward John Routh, who formulated it about 1860. Correspondingly, the Routhian is the function which replaces both the Lagrangian and Hamiltonian functions. Although Routhian mechanics is equivalent to Lagrangian mechanics and Hamiltonian mechanics, and introduces no new physics, it offers an alternative way to solve mechanical problems.
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