In this previous post I noticed that the Phi sequence, incorporated into Lucas numbers can compute Pi as a hyperbolic powers series of Tanh squared. It looks like the rational fraction is 223/71, an error of 7e-4, as taken from this set of rational approximations from John Heidemann. That made me think, how does the Sun do better? NASA measured it and got that 2Pi*r for the Sun was 8e-6. The Sun did almost 100 times better than Mr. Lucas and his Phi. Well, NASA removed magnetic variations over time under the assumption that magnetism and gravity are unrelated. Do they have a Theory of Everything that allows them to do that?
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