Kepler’s second law is a consequence of:

conservation of energy conservation of linear momentum conservation of angular momentum none

conservation of angular momentum

$\frac{dA}{dt}$ = constant $\Rightarrow \frac{d}{dt}\left(\frac{1}{2} r^2 \theta\right)$ = k $\Rightarrow \frac{r^2}{2}\left(\frac{d \theta}{dt}\right)$ = k $\Rightarrow r^2 \omega = 2 k$ $\Rightarrow mr^2 \omega$ = 2 mk ⇒ L = 2 mk = constant ; L = angular momentum