Explaining the Precession of the Mercury's Perihelion by a Classical Method

The motion of Mercury's perihelion in space from the point of view of an Earth observer has been of particular interest to the physics community since Le Verrier in 1845. Observations have shown that Mercury's perihelion advances relative to fixed stars by about 5599 arcseconds (less than two degrees) per century. Astronomers argue that 5024 arcseconds of this amount is due to the precession of the Earth's equinoxes, and 532 arcseconds of the remaining 575 arcseconds is explainable by the gravitational effects of the outer planets, namely Venus, Earth, Mars, the asteroid belt, Jupiter, and Saturn. 43.11 arcseconds is remained, which was first explained by Paul Gerber by assuming that the speed of translation of gravitational effects is not infinite. But because Gerber's calculations were not based on strong and logical arguments, his work was not generally accepted. In the second half of the 19th century and in the 20th century, many attempts were made by various physicists to obtain an acceptable explanation for the remaining 43.11 arcseconds by using retarded potentials and modifying the law of gravity, but all these attempts failed. Only the general theory of relativity was able to provide an explanation for the residual amount by adding a term to the gravitational force. Here we show that the reason for observation of 43.11 arcseconds is non-coincidence of the center of mass (com) of the Sun-Mercury system and the com of Sun.