The math-physics crew hasn't been ignoring my emails, so I should probably just send them the full paper for review—until they actually lay eyes on it, nobody can know for sure what we're dealing with. I told them that
I've already mapped out the mathematical derivations (using differential geometry) which apply to all defined functions—meaning they work for ellipses, hyperbolas, and parabolas alike—within Mathcad. Now, I just need to draft a formal paper including explanations and practical calculation examples based on actual astronomical measurement data. I can whip this up relatively quickly, convert it from Mathcad to a PDF, and then get it over to you guys for review
Here’s an example from the image I uploaded to my Silvio Sponza (
@SilvioSponza) | Twitter profile, showing the Vis viva corrections by comparing calculations against the measured data from comet Hale–Bopp https://twitter.com/SilvioSponza/sta...82052249997312 ,
I pulled the measurement data from this link: http://articles.adsabs.harvard.edu//...00037.000.html
and found the orbital elements here:
https://theskylive.com/halebopp-info This is the mathematical derivation I used to reach the correction where Vis viva is divided by the square root of two; meanwhile, here is the example using those same data points where the standard Vis viva fails when compared to the observed measurements https://twitter.com/SilvioSponza/sta...161218/photo/1
(If you want a better look, just click the images to enlarge them)