A planet moves in an elliptical orbit about the sun with the sun at one focus of the ellipse as in figure.

(a) What is the torque produced by the gravitational force of attraction of the sun for the planet?

(b) At position A, the planet is a distance r₁ from the sun and is moving with a speed v₁ perpendicular to the line from the sun to the planet. At position B, it is at distance r₂ and is moving with speed v₂, again perpendicular to the line from the sun to the planet. What is the ratio of v₁ to v₂ in terms of r₁ and r₂?

Sun B.