Re: Semi-minor Axis

The second greatest heliocentric representation is Kepler's Panis
quadragesimalis seen on page 86 in the following website -

http://mitpress.mit.edu/journals/pdf/POSC_13_1_74_0.pdf

Apart from Owen Gingerich at Harvard,very few would recognise that in
Kepler's era planetary orbits were observed from the center of the
planet's orbit hence the mean motion along the planet's orbit and not
mean Sun/Earth distances.

Compare Newton's horrible rendition for the deviation of a planet from
constant annual orbital speed from Kepler's distinctly heliocentric
rendering -

"PHÆNOMENON 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. Newton


http://members.tripod.com/~gravitee/phaenomena.htm


"The proportion existing between the periodic times of any two planets
is exactly the sesquiplicate proportion of the mean distances of the
orbits, or as generally given,the squares of the periodic times are
proportional to the cubes of the mean distances." Kepler

You can get away with the stretching of orbital distances from a mean
Sun/Earth distance but what you cannot do is make it fit into an
elliptical framework and retain Kepler's second law.

http://www.pfm.howard.edu/astronomy/Chaisson/AT401/IMAGES/AACHCIR0.JPG

All Newton did was make astrology respectable again by re-introducing
the celestial sphere/constellations into astronomy.

.

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