I think you may have read my post hastily, for I did say that I can understand how Mars and Earth can have different relative distances. My question was how to account for the change in distances of the sun and Mars? (As shown in the Tychos simulator)
“My question was how to account for the change in distances of the sun and Mars? (As shown in the Tychos simulator)”
The changes in the Sun-Mars distances are simply due to the eccentricity of Mars’s orbit around the Sun (do not confuse eccentricity with ‘ellipticity’). I’ve made the below double-screenshot from the Tychosium showing how the Sun-Mars distance can fluctuate between about 249Mkm and 207Mkm (just as officially claimed). However, in the TYCHOS, this is not due to Mars having a “relatively elongated” (or elliptical) orbit - as officially stated: Mars has a perfectly circular orbit but, for some reason (which merits further study) its center is somewhat ‘offset’ from the Sun.
If you have the Stellarium simulator installed on your PC, you may wish to verify that Mars was (or will be) indeed at about 249Mkm and 207Mkm on the above dates (2019-08-09 and 2043-02-04).
Yes, it may seem a quite astonishing fact that the Tychosium and the Stellarium are in most excellent accordance with each other (as far as planetary positions / ephemerides - and even relative distances - are concerned) considering that the TYCHOS model requires NO elliptical orbits and NO variable orbital speeds. Yet, this is what the Tychosium simulator has managed to achieve!
So about a 19% variation of distance. It is instructive to see the sun in screen shot. It causes the eccentricty to stand out. And I also note that in Kepler’s diagram from Ch. 5, he seems to hint also at the eccentricity since his orbital paths for Mars are circular as is his zodiacal references, yet the two are not centered. Probalbly not a cooincidence .
It is an amazing hand drawing! You could literally overlay your computer generated one on top of his and they would be almost an exact match. For me this confirms the accuracy of Tycho’s observations.
“The occasion for this chapter was the discovery that the circular hypothesis (or as we might say, model) that adequately represents Mars’s heliocentric longitudes failed to give correct Mars-Sun distances. An account that appeared correct proved to be false, thus reminding the reader that predictive adequacy does not ensure truth. Kepler was concerned that the same argument could be used against the Copernican world system as a whole and so hastened to refute it.”
I take this to provide cover for Kepler’s fudging (fraud). Clearly he had the corect data from Tycho as proved above, but he couldn’t figure it out so he decided the observations were incorrect.