From a P&P discussion: 1. Your presumption that the geocentric position is disordered. Well if you compare the smooth curve which the HC based physics returns for the orbital period of Earth satellites against their period with the curve of distance against period using the GC statements (there are no equivalent GC formulae), you'll see what I mean. Since the curve of the orbital period of Earth satellites against their own period is a line of slope 1, I don?t think anyone sees what is meant ?? 2. And your presumption that the formula presented would act any different if used in the geocentric situation. If you can show me that the GC statement that the Moon orbits the Earth in 24h 52m (av) at the measured distance and make it conform to Kepler's third law, I'll call you Mandrake! Why conform to Kepler?s Law 3, when it doesn?t use the aether nor include rotation of the primary? See GWW. KL3 predicts a lunar period of 27.2 days for what is observed to be 24.86 hrs. By assuming the Earth spins every 24 hrs, the third law can be patched up to give the measured period. By using the GC graph of period vs R - the aethereal equivalent of the Newtonian KL3 ? the period can be predicted for any Earth satellite distance from here to the waters above the firmament, not just for Earth orbits in the HC system. So far only 2 points on the GC graph have been completed correctly. Robert Mandrake