Kepler vs. Ptolemy
An ellipse is a special case of a hypotrochoid. The path of a planet as described by Ptolemy is also an example of a hypotrochoid. The equation of an ellipse can be derived from Ptolemy's model. Thus they are mathematically the same model. In other words they are not two models that approximate the same data set. They are one model.
Therefore there is no mathematical basis to say that the Kepler/Copernican Heliocentric view of the universe is right and that the Ptolemaic Geocentric model is wrong.
Therefore there is no mathematical basis to say that the Kepler/Copernican Heliocentric view of the universe is right and that the Ptolemaic Geocentric model is wrong.
NSF Grant Proposal
On the strength of the above observation, I intend, with matching funds from Richard Branson of Virgin Atlantic and an endowment from the Templeton Foundation, to apply to the National Science Foundation for a grant to send, before this decade is out, a satellite to the exact location of the Earth's Equant and to return it safely to the earth with samples of Aether for physico/chemical analysis.
On the strength of the above observation, I intend, with matching funds from Richard Branson of Virgin Atlantic and an endowment from the Templeton Foundation, to apply to the National Science Foundation for a grant to send, before this decade is out, a satellite to the exact location of the Earth's Equant and to return it safely to the earth with samples of Aether for physico/chemical analysis.