The Ancient Greek astronomers had quite an obsession over uniform circular motion; I was wondering if there was a logical reason for this. Did it develop through actual observations of the stars? Do they appear to move uniformly? If so, why?
I've read a few things online that attributes this belief mainly to "Pythagorean mysticism", saying that the Ancient Greeks simply looked for an idealistically satisfying description of celestial motions. This too makes me wonder though:
1.) Why uniform?
2.) Why circular?