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_(0))/(2(n-1))[1+sqrt(1-4n(n-1)sin^(2)alpha)], (r_(0))/(2(n-1))[1-sqrt(1-4n(n-1)sin^(2)alpha))]`