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


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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