(July 30, 2016 at 9:01 am)Alex K Wrote: Jehanne,
Yes you're right. The Lagrange points are a prediction of the newtonian laws of motion, and if you throw that away and go to a geocentric picture, to explain observations all those epicyclic convoluted laws of planetary motion need to be postulated ad hoc without a sound theoretical base. One could of course simply postulate the lagrange points as well ( because if you don't have a unifying theoretical framework, anything goes) but there is no theoretical *reason* for them to be there, no prediction, because the geocentric model has little predictive power beyond what is put in explicitely.
Predictions, bah. Lagrange points would simply require a few more of those geocentrically rotating transparent celestial spheres that had already been postulated for planets and the sun to be embedded in.