All Problems Universal Gravitation
Problem 1.207
A planet of mass \(m\) moves along an ellipse around the Sun so that its maximum and minimum distances from the Sun are equal to \(r_{1}\) and \(r_{2}\) respectively. Find the angular momentum \(M\) of this planet relative to the centre of the Sun.
1.207. \(M=m \sqrt{2 \gamma m_{s} r_{1} r_{2} /\left(r_{1}+r_{2}\right)},\) where \(m_{S}\) is the mass of the Sun.