# L = r X p - in Sphereical Coordinates

1. Feb 18, 2010

### Oijl

L = r X p --- in Sphereical Coordinates

1. The problem statement, all variables and given/known data
Express in vector form angular momentum in spherical coordinates.

$$\rho$$ is the distance from the origin to the point
$$\phi$$ is the angle made in the Cesarean x-y plane counter-clockwise from the positive x-axis
$$\theta$$ is the angle downward from the z-axis

2. Relevant equations

3. The attempt at a solution
Is it as simple as

r = $$\rho$$$$\hat{\rho}$$ + $$\phi$$$$\hat{\phi}$$ + $$\theta$$$$\hat{\theta}$$
and
v = $$\dot{\rho}$$$$\hat{\rho}$$ + $$\rho$$sin($$\theta$$)$$\dot{\phi}$$$$\hat{\phi}$$ + $$\rho$$$$\dot{\theta}$$$$\hat{\theta}$$
?