- #1

WWCY

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## Homework Statement

Why is the magnitude of Angular Momentum for an elliptical orbit as such?

$$l = mr^2\dot{\phi}$$

where ##\dot{\phi}## represents angular momentum.

I have always assumed that angular momentum was $$l = r \times P = mr \times V = mrVsin(\theta) = mr^2\dot{\phi} sin(\theta)$$

And since the angle (taken to be ##\theta##) between the ##r## and ##V## vectors isn't always a right angle, shouldn't angular momentum for elliptical orbits be defined with the sine term?

Assistance is greatly appreciated!