Application of a unique space-time principle (g=cd ) explains and computationally describes phenomena such as nutation, geostationary orbits, progress of perihelion…
Due to the unavoidable use of unexplained, so called, “Universal constants of nature”, equations of conventional physics, regardless of their (more complex) description, leave these phenomena without fundamental explanation.
Simple mathematical demonstration solves one of the problems of lunar motion, the regression of lunar nodes, observed more than 2000 years ago. Although their motions draw similar traces (such as retrograde motion in Ptolemy’s and Copernicus’s models of the universe) we show that celestial bodies do not rotate around their common centre of mass, but, by unified law, one around the other. Due to the rigidity of principle, regardless of the calculation of rounded up values, the range of discrepancy between predicted and observed cycle of regression is in level of magnitude of only 3.4×10-5 (due to lunar trajectory perturbation, its perceived values also on a small-scale vary cyclically). Besides the constant π and Terrestrial measure of time, the only variables used in the solution of this dual orbiting system problem are radiuses and surface accelerations of observed bodies.
Respecting the mechanism of simple machines, in described case the lever in balance, the application of universal principle (g=cd) is demonstrated by calculating the radius and velocity of the geostationary orbit. Derived is the ratio between geostationary and equatorial radius, specific to each celestial body. Implicitly, formulated is the law of geostationary orbits symmetrical to third Kepler’s law of planetary motion. As a derivation of these equations is not using the gravitational constant G and calculates the corrected celestial body masses, due to their mathematical equivalence, equalities presented give absolutely accurate results. The elegance, precision and simplicity of the presented model indicate misinterpretation of Newton’s masses and nature, in the conventional physics inevitable gravitational constant G, the so-called “Universal constant of nature”.