Approximate analytical solutions of entry into a planetary atmosphere at constant lift-drag ratio have been presented by Gazley, Chapman, Alien and Eggers, and Loh. Constant liftdrag ratio entry dictates variable angles of inclination. On the other hand, variable lift-drag ratio entry has been discussed by Lees, Grant, and Loh. A few approximate analytical solutions of variable lift-drag ratio entry have been given by Lohi exact analytical solutions of entry into a planetary atmosphere have not been presented before. It is the purpose of this paper to present some exact analytical solutions obtained recently. When minor terms of the exact solutions are neglected, the exact solutions presented here reduce precisely to those approximate solutions presented previously by Loh for variable lift-drag ratio entry.