> Two spheres. Proper motion can be explained completely if we allow each star to exist on its own crystal sphere. Wow! I can believe we are discussing in the

> Two spheres. Proper motion can be explained completely if we allow each star to exist on its own crystal sphere. Wow! I can believe we are discussing in the age of Hubble space telecope and Webb etc. the existence of crystal spheres and how they can explain motions of stars. I don't believe crystal spheres exist but I respect your belief in them. To me they are an unnecessary and cumbursome explanation.