A planet A moves along an ellipticl orbit around the surface. 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 radius vector `r_(0)` and velocity vector `v_(0)` was equal to `alpha`. Find the maximum and minimum distance 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` .