Have I? Please show me these errors so that I may correct them.
From what I know, gravity is used to refer to a force that a large object has. Examples would be the apparent Gravity of the moon on bodies of water on this planet, and the apparent gravity of planets on their moons. Gravitation refers to the theory that explains why the force happens.
Uh, no.
Gravity specifically refers to the force that Newton theorized happens between bodies with mass and is transmitted instantaneously. This, however, is incorrect, for a few reasons. One, gravity is not a force. It only looks to us as one because we assume we are not accelerating, but are at rest. However, we are undergoing a constant physical acceleration when we are in contact with the Earth, directly or otherwise. Two, it only acts on objects with mass. This leaves out a whole bunch of phenomenon. Third, it violates the speed limit of the universe, the speed of light.
Gravitation, is the apparent attraction between objects. This includes those objects that have no mass. It also places the limit on the speed that this attraction can have, which is the speed of light. Now, whether this attraction is due to our tendency to follow geodesics or our acceleration through space is a matter of which model you subscribe to.
Now, please show me my misuse of these terms. Thank you.