# Calculation of the average distance from the Earth to the Sun by the gravitational parameter of the Earth and the fine-structure constant The calculation formula is the following: where µ ≈ 3.9860·1014 m3/s2 is the reference value of the Earth's gravitational parameter (the geocentric gravitational constant), α ≈ 1/137.04 is the fine-structure constant, C = c/299792458 = 1 m/s is a matching coefficient (c is the speed of light in vacuum).

After deriving this formula, I tried to apply it to other planets of the Solar System in order to obtain a direct dependence of their distances to the Sun on the fine-structure constant by using standard gravitational parameters, but I could not obtain such dependence. Thus, one should either acknowledge that the obtained equation is an accidental coincidence or suppose that the Earth is a unique space object, at least in our Solar System. not ready yet https://forum.cosmoquest.org/showthread.php?170483-Calculating-the-distance-between-the-Earth-and-the-Sun-by-the-fine-structure-constant https://www.scienceforums.net/topic/118929-gravity-split-from-infinite-gravity/ November 22, 2018. CosmoQuest Forums   