A body in Uniform Circular Motion will have the following properties of motion;
constant tangential velocity
constant acceleration toward the centre of the circle
Note; a, v and r are not given vector notation as they continue to change direction as the body travels in UCM.
Gravity, Mass attracts mass because .. mass bends space-time. But more on that when we get to relativity.
Everything with mass produces a gravitational field around it 'g'. Note this field is measured as an acceleration as per;
Our definition of "down" and hence "up" come from gravity. "down" is the direction things fall on Earth (or any other planet). The local gravitational field line points toward the centre of mass.
One interesting anomaly is that satellites only have two stable orbits as a result of the 'squashed' shape of the Earth. They can go around the equator, being held in a stable orbit due to the local gravitational
field, or they can 'disregard' the 'squashed Earth effects and use a polar orbit. Any other orbit will gradually move toward an equatorial orbit.
