Date: 11 Dec 2006 04:58:48
From: oriel36
Subject: Periodic times and Kepler
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The periodic times argument of Kepler is strictly designed to remove the geocentric arrangement of the Sun between Mars and Venus and replace it with the Earth's orbital motion.It does not support a geocentric/heliocentric orbital equivalency as Newton would have it* . I object to using the wonderful Keplerian reasoning for the purpose of highlighting the fraudulent misuse by Newton but ultimately this thread is left for those who can grasp the easy to understand attempt by Kepler to promote the Copernican view . 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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