1. Greek Science II Fundamental Issues and Theories As applied to the Motions of the Planets

2. Plato set the problem that was to influence the study of astronomy for generations "By the assumption of what uniform and ordered motions can the apparent (i.e., "erratic") motions of the planets be accounted for." That is, how is one to "save the phenomena" in terms of uniform circular movement. (remember, the circle is perfect)

3. Assumptions and Complications Implicit and reflecting ‘common sense’ (the ‘cultural component’), is the perception that the earth must be unmoving and at the center of the universe. Implicit and reflecting ‘common sense’ (the ‘cultural component’), is the perception that the earth must be unmoving and at the center of the universe. It is also manifest that everything either moves (‘falls’) toward the earth ‘naturally’ or revolves eternally around it in perfect circles. It is also manifest that everything either moves (‘falls’) toward the earth ‘naturally’ or revolves eternally around it in perfect circles. But there were problems: the planets do not move in perfect circles. They exhibit ‘retrograde motion; getting brighter and dimmer, moving forwards and backwards. How to explain and save the theory? But there were problems: the planets do not move in perfect circles. They exhibit ‘retrograde motion; getting brighter and dimmer, moving forwards and backwards. How to explain and save the theory?

4. Two solutions The earliest attempt to resolve the conflict between cultural expectations about perfect circles and retrograde motions was made by Eudoxus where retrograde motion can be explained using nested concentric circles. The earliest attempt to resolve the conflict between cultural expectations about perfect circles and retrograde motions was made by Eudoxus where retrograde motion can be explained using nested concentric circles.Eudoxus The second and more enduring solution was developed by the astronomer Claudius Ptolemy, through the use of epicycles The second and more enduring solution was developed by the astronomer Claudius Ptolemy, through the use of epicyclesepicycles

5. Postulate: The earth is the center of the cosmos and unmoved Ptolemy, Almagest I, 7:...”it may be proved (!) that the earth cannot make any movement whatever...or ever change its position at all from its place at the center of the cosmos. “it is manifest to any observer that the earth occupies the middle place in the cosmos, and that all weights move toward it, that the earth is spherical and situated in the middle of the cosmos...and it is a simple fact that in all parts of the earth without exception the tendencies and the motions of bodies which have weight operate at right angles to tangent drawn through the point of contact where the object falls...That is, objects that have weight "naturally" fall to the center of the cosmos.

6. The second argument if the earth moved [away from the center] of the universe, heavier objects would still all toward that center and the animals and all separate weights would have been left behind floating in air [at the center of the cosmos], while the earth at its great speed would have fallen completely out of the cosmos itself. but this is utterly ridiculous, for the rotation of the earth would be more violent than any (1000 mph).

7. The ancients did know the circumference of the earth By the 3 rd Cent BC the Greeks had not only a good idea of that the earth was a sphere, but devised a method to calculate its diameter. This calculation leads to the 1000 mph rotational velocity and the idea that cows should be flying off the surface of the earth yet no such flying cows were ever observed. Therefore the Earth could not be rotating and it was the sun revolving around the earth that caused day/night. By the 3 rd Cent BC the Greeks had not only a good idea of that the earth was a sphere, but devised a method to calculate its diameter. This calculation leads to the 1000 mph rotational velocity and the idea that cows should be flying off the surface of the earth yet no such flying cows were ever observed. Therefore the Earth could not be rotating and it was the sun revolving around the earth that caused day/night.method to calculate its diametermethod to calculate its diameter

8. Some awkward problems how to account for the change of seasons if the earth was absolutely immobile? how to account for the change of seasons if the earth was absolutely immobile? So, too, if the earth turns on its axis it turns east toward the rising sun, so we should observe a strong wind "east wind" but that is not the case (prevailing winds blow from the west). So, too, if the earth turns on its axis it turns east toward the rising sun, so we should observe a strong wind "east wind" but that is not the case (prevailing winds blow from the west).

9. And the response… And if the earths rotates in an orbit around the sun, one ought to observe a change in stellar parallax (a change in the angle of the "fixed" stars as the earth moves from (say) winter to summer. And if the earths rotates in an orbit around the sun, one ought to observe a change in stellar parallax (a change in the angle of the "fixed" stars as the earth moves from (say) winter to summer. But that is not observed (with naked eye); therefore the earth remains at the center and unmoved. But that is not observed (with naked eye); therefore the earth remains at the center and unmoved.

10. Reconciliation?? Both theories, the geo-centric and the helio- centric had inconsistencies with respect to observed data  so what do you choose? Both theories, the geo-centric and the helio- centric had inconsistencies with respect to observed data  so what do you choose? The important point here is that, faced with two awkward theories, “preserving the phenomena" (i.e., the intuitive) won out, that is people preferred the explanation that was consistent with their primary observation that the earth did not move. The important point here is that, faced with two awkward theories, “preserving the phenomena" (i.e., the intuitive) won out, that is people preferred the explanation that was consistent with their primary observation that the earth did not move. This primary observation then forms the basis for “scientific” consensus and the adopted geocentric model of the Solar System This primary observation then forms the basis for “scientific” consensus and the adopted geocentric model of the Solar System