\[r\]
means decreasing \[v\]
Does the orbital angular momentum increase or decrease?
The magnitude of the orbital angular momentum of a satellite is a circular orbit is
\[L=mvr\]
Equating the centripetal and gravitational forces gives
\[\frac{mv^2}{r} = \frac{GMm}{r^2}\]
Rearranging for
\[v\]
: \[v = \sqrt{\frac{GM}{r}}\]
Hence
\[L=m \sqrt{\frac{GM}{r}} r = m \sqrt{GMr} \]
Increasing
\[r\]
means increasing \[L\]
.