A planet A moves along an elliptical orbit around the Sun. At the moment when it was at the distance `r_0` from the Sun its velocity was equal to `v_0` and the angle between the radius vector `r_0` and the velocity vector `v_0` was equal to `alpha`. Find the maximum and minimum distances that will separate this planet from the Sun during its orbital motion.

Answer

`r_(m) = (r_(0))/(2-eta) [1 +- sqrt(1-(2-eta)etasin^(2)alpha)]`
where `eta = r_(0) v_(0)^(2)//GMs` .