The still standing wobbling sun

The still standing sun was for centuries the achilles heel of physics, more, it was a real nightmare for physics theorists. The movement of the trio Jupiter-Saturn-Sun refused over centuries every attempt of being calculated by physicists. All great mathematicians of all centuries since Newton had tried to solve the unsolvable n-body problem and found no solution. So over the centuries a rather inexact description established in physics and  astrophysics, as a typical example: "So to a good approximation the Sun and Jupiter orbit about their CM, lying at a point just outside the surface of the Sun.(..). This point lies so close to the center of the Sun that we can still refer to the planets orbiting the Sun". Explanation for non-physicists: if the center of mass(CM) lies outside, the sun wobbles, if it is at the center of the sun, the sun doesn't wobble. This makes a big difference and a description like this is for a physicists who wants to know every fact in live to a precission of 8 significant digits a revelation of bare ignorance. Whereas normal people can express their uncertainity: "my  car should be around 3.20m in length", a physicist can never live with such an uncertainity, wether he knows the orbit and can insert it in his calculations or he got to insert 0, 'approximately' doesn't exists in mathematics or physics. This led to the unbearable fact, that all dependant calculations concerning our solar system could also not be made. A disaster of highest extent, which finally led to todays situation: a medieval representation of the formation of our solar system out of a "swirling nebula" and strange Big Bang theories. Whats worse is that false theories always produce new, even bigger errors and wrong theories. Now you have missing dark masses, missing dark energy etc. The idiom: "what starts bad, ends worse" expresses todays situation best.

Only with such a neurosis it is to explain that obviously nobody has seen yet the absolutely fundamental contradiction between Einsteins theory of relativity and Newtons gravitational theory. While Einsteins theory fundamentally knows no propagation speed beyond the speed of light, Newtons theory has as an as fundamental prerequesite the absolute imediate effect. If you introduce in the simulation used here for instance the slitest delay, absolute catastrophic results are the consequences (and btw  all 'hard facts' experiments as in quantum physics speak in favour of Newton).

If you want to experience the process of understanding these facts 'live' you may read this.