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Lagrangian Mechanics

A reformulation of classical mechanics that combines conservation of momentum with conservation of energy.

Sequence of Expressions

Advanced
The path taken by the system between times t1t_1 and t2t_2 is the one for which the action SS is stationary (a minimum).\nS=t1t2L(q,q˙,t)dtS = \int_{t_1}^{t_2} L(q, \dot{q}, t) dt