Definition:Generalized Momentum

This article needs to be linked to other articles. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding these links. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{MissingLinks}} from the code.

Definition

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 $q_i$.

Sources

There are no source works cited for this page. Source citations are highly desirable, and mandatory for all definition pages. Definition pages whose content is wholly or partly unsourced are in danger of having such content deleted. To discuss this page in more detail, feel free to use the talk page.