\begin{definition}[Definition:Generalized Momentum]
The '''generalized momentum of analytical (Lagrangian, Hamiltonian) formulations of classical mechanics''' is defined as the partial derivative of the Lagrangian with regards to the time derivative of generalized coordinates:
:$p_i = \dfrac {\partial \LL} {\partial \dot q_i}$
where:
:$p_i$ is the $i$th coordinate of the generalized momenta
:$\LL$ is the Lagrangian
:$\dot q_i$ is the time derivative of the generalized coordinates $q_i$.
Category:Definitions/Dimensions of Measurement
\end{definition}