Definition:Angular Momentum/Particle

Definition
Let $P$ be a particle of mass $m$ moving with velocity $\mathbf v$ relative to a point $O$.

The angular momentum of $P$ relative to (or about) $O$ is defined as:


 * $\mathbf L = \mathbf R \times \mathbf p = m \paren {\mathbf r \times \mathbf v}$

where:
 * $\mathbf p$ denotes the (linear) momentum of $P$
 * $\mathbf r$ denotes the position vector of $P$ $O$
 * $\times$ denotes the vector cross product.