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Kepler's 10th argument for the Earth's orbital motion
Apart from the original Copernican resolution for observed planetary
motion in determining the Earth's orbital motion,the 10th argument of Kepler using the periodic times argument is one of the most beautiful, satisfying and easy to understand. At you leisure you can then turn to the uglyness of the convoluted Newtonian junk which re-introduces the Sun around the Earth by fraudulently using the same 'periodic times' argument. Anyone who comes away from the original Keplerian reasoning with some sense of pride in astronomy will not support the awful perversion by Newton. Epitome Of Copernican Astronomy by JOHANNES KEPLER Finally by what arguments do you prove that the centre of the Sun which is at the midpoint of the planetary spheres and bears their whole system - does not revolve in some annual movement,as Brahe wishes,but in accordance with Copernicus sticks immobile in one place,while the centre of the Earth revolves in an annual movement. Argument 10 " The 10th argument,taken from the periodic times, is as follows; the apparent movement of the Sun has 365 days which is the mean measure between Venus' period of 225 days and Mars' period of 687 days.Therefore does not the nature of things shout out loud that the circuits in which those 365 days are taken up has a mean position between the circuits of Mars and Venus around the Sun and thus this is not the circuit of the Sun around the Earth -for none of the primary planets has its orbit arranged around the Earth,as Brahe admits,but the circuit of the Earth around the resting Sun,just as the other planets,namely Mars and Venus,complete their own periods by running around the Sun." Johannes Kepler _______________________________________________ PHENOMENON IV. "That the fixed stars being at rest, the periodic times of the five primary planets, and (whether of the sun about the earth, or) of the earth about the sun, are in the sesquiplicate proportion of their mean distances from the sun. This proportion, first observed by Kepler, is now received by all astronomers; for the periodic times are the same, and the dimensions of the orbits are the same, whether the sun revolves about the earth, or the earth about the sun. And as to the measures of the periodic times, all astronomers are agreed about them. But for the dimensions of the orbits, Kepler and Bullialdus, above all others, have determined them from observations with the greatest accuracy; and the mean distances corresponding to the periodic times differ but insensibly from those which they have assigned, and for the most part fall in between them; as we may see from the following table." newton * http://members.tripod.com/~gravitee/phaenomena.htm |
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