Assume you have a planet of mass $M$ and radius $R$ and have a stationary spaceship at distance $4R$ from the center of the planet.If a projectile is launched from the spaceship of mass $m$ and velocity $v$ and just grazes the planet's surface, what will be the locus of the projectile?
I guess on Earth we take projectile path to be parabolic because of no variation in acceleration due to gravity. But in this case acceleration due to gravity will change with change in distance.
So in the end, will the trajectory be parabolic, elliptical, circular? Explain why with full proof.