Question

The figure shows elliptical orbit of a planet m about the sun S. The shaded area of SCD is twice the shaded area SAB. If t₁ is the time for the planet to move from D to C and t₂, is time to move from A to B, what is the relation between t₁ and t₂?

(i) State Kepler's second law of planetary motion. (ii) Show that Kepler's Second law is the law of conservation of angular momentum. (iii) A Saturn year is 29.5 times the Earth year. How far is Saturn from the Sun if the Earth is 1.50 x 10⁸ km away from the Sun?