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The keplerian orbital elements and position of GEO satellite extracted from given the satellite's TLE orbital elements from a source like Celestrak using the most recent version of SGP.

Keplerian elements describe these non-inertial trajectories. An orbit has two sets of Keplerian elements depending on which body is used as the point of reference. The reference body is called the primary, the other body is called the secondary. The primary does not necessarily possess more mass than the secondary, and even when the bodies are of equal mass, the orbital elements depend on the choice of the primary.

The main two elements that define the shape and size of the ellipse:

Two elements define the orientation of the orbital plane in which the ellipse is embedded:

And finally: