TWO BODY PROBLEM IN TWO DIMENSIONS

Source Doct: http://astrowww.phys.uvic.ca/~tatum/celmechs/celm9.pdf

Kepler’s laws can be derived from Newton’s laws of motion

and gravitation, and conservation of angular momentum, and we derive formulas for the

energy and angular momentum in an orbit. We show also how to calculate the position

of a planet in its orbit as a function of time.  Following discussion here is limited to two dimensions.