Reduction to the Heliocentric Coordinate System
In the Concentric Equant Model, reduction to the Heliocentric was easy.
In the above diagram, OM was the Radius of the Epicycle. And q is the Equation of the Center.
The word Equation in Astronomy is the angle between mean planet and true planet. It is got by the formula
q = arcsine ( e* sin (M) )
In the above diagram, BOM is the mean Centrum or the Mean Anomaly and SOM is the true Centrum or the True Anomaly.
t - m = q, the Equation of Center.
This diagram is by courtesy of Jean-Pierre Lacroix and Robert Baywater, www.ancientcartography.net
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