Q.
According to Keplar’s second law, the line joining the planet to sun sweeps out equal area in equal intervals of time. It is a consequence of law of conservation of
Earth and all other planets move around the sun under the effect of gravitational force. This force always acts along the line joining the centre of the planet and the sun and is directed towards
the sun. In other words, a planet moves around the sun under the effect of a purely radial force.
Therefore, the areal velocity of the planet must always remains constant. ∴ΔtΔA=2mL= constant vector
Therefore, Kepler’s 2nd law is the consequence of the principle of conservation of angular
momentum (L).