Question
State and prove Kepler's second law.
OR
State Kepler’s second law and prove that it is based on the law of conservation of angular momentum.
Solution
The second law of planetary motion states that the arial velocity of a planet is constant.
We know that,
The gravitational force exerted by the sun on planet produces zero torque, therefore, angular momentum
of the planet is constant.
Constant.
Hence the result.
We know that,


The gravitational force exerted by the sun on planet produces zero torque, therefore, angular momentum


Hence the result.