Question

A planet of mass m moves in an elliptical orbit. Its maximum and minimum distances from the Sun are R and r, respectively. Let G denote the universal gravitational constant, and M the mass of the Sun. Assuming M >> m, the angular momentum of the planet with respect to the center of the Sun is

• A. \(m\sqrt{\frac{2GMRr}{(R+r)}}\)
• B. \(m\sqrt{\frac{GMRr}{2(R+r)}}\)
• C. \(m\sqrt{\frac{GMRr}{(R+r)}}\)
• D. \(2m\sqrt{\frac{2GMRr}{(R+r)}}\)

Answer 1

The Correct Option is A

The correct answer is (A) : \(m\sqrt{\frac{2GMRr}{(R+r)}}\)