Answer to Question #168734 in Physics for Pushpo

Question

prove that the Kepler’s law of area satisfies the conservation principle of energy. 

Answer 1

 Kepler’s law of area:

$$\frac{dA}{dt}=\frac{r^2\omega}{2}=const$$

$$\frac{Mr^2\omega}{2M}=\frac{L}{2M}=const\\L=const$$