Well............... you were close......The distance at which Earth's gravity is "zero" is dependent on the mass of the object that is trying to free itself from Earth's gravitational force. The greater the mass the further away the object must be. So, something "light" like a feather doesn't need to be nearly as far as something that weighes millions of tons.
Of course we're taking into account the "orbiting" speed, which changes the equation completely!!!
It's all relative!!!!!!!!!
treblig (The Science Guy)