Thus, dA/dt = constant. The area swept in equal intervals of time is a constant. Kepler's second law can also be stated as “The areal velocity of a planet revolving around the sun in elliptical orbit remains constant, which implies the angular momentum of a planet remains constant”.
Explanation:
Kepler's third law can be derived from Newton's laws of motion and the universal law of gravitation. Set the force of gravity equal to the centripetal force. After substituting an expression for the velocity of the planet, one can obtain: GMr=4πr2P2 which can also be written P2=4π2a3GM.
Answers & Comments
Answer:
Thus, dA/dt = constant. The area swept in equal intervals of time is a constant. Kepler's second law can also be stated as “The areal velocity of a planet revolving around the sun in elliptical orbit remains constant, which implies the angular momentum of a planet remains constant”.
Explanation:
Kepler's third law can be derived from Newton's laws of motion and the universal law of gravitation. Set the force of gravity equal to the centripetal force. After substituting an expression for the velocity of the planet, one can obtain: GMr=4πr2P2 which can also be written P2=4π2a3GM.