Cartesian Keplerian orbit?

1. Oct 4, 2012

holtto

Just curious, does anyone know what are the equations for the displacement-time graph of a Keplerian orbit?

The horizontal displacement-time graph should be somewhat sinusoidal, the vertical one cosinusoidal, or vice versa.

2. Oct 7, 2012

voko

There is a formula relating the orbital angle and the orbital radius, and so one can easily get the x/y components versus the angle. Dependence on time, however, is implicit.

3. Oct 7, 2012

holtto

and it involves really complicated D.E.s