Calculation of the precession of perigelia of mercury within the framework of the generalized law of the world potential with account of the elliptic orbit of planets

A numerical simulation of the precession of the perihelion of the orbit of Mercury was carried out within the framework of the generalized law of the world in the field of the Sun and the planets taking into account the ellipticity of the orbits of the planets and new data on the flattening and mass of the Sun and the gravitational constant. The calculations were carried out with increased accuracy (up to 19-20 characters) calculations with an iteration step of 0.00005 s - starting from the asteroid belt with an iteration step of 0.0001 s. It has been shown that the average precession of the perihelion of the orbit of Mercury over 100 years within the framework of the generalized law of the world (averaged over a large period of time - hundreds, thousands of years), taking into account the elliptical orbits of the planets, is ~ 554.2 ''. This is less than the observed displacement of the perihelion of the orbit of Mercury by ~ 19.9 ''. The observed displacement, as is known, is ~ 574.1 ''. Those. the question of the conformity of the general law of the universal observance of the world remains open. But it is possible that another small object (or several objects) of small size can be inside the orbit of Mercury, and in the diametrically opposite point of the Earth orbit behind the Sun there can exist another one object, the mass which, at least, should not exceed ~ 0.2 the mass of the Earth. The results obtained are accurate to within 1-2 decimal places.

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