Calculation of the Precession of the Perihelion of Mercury’s Orbit Within the Framework of a Generalized Law of Universal Gravitation

The precession of the perihelion of Mercury’s orbit in the gravitational field of the Sun and an averaged field of the planets is numerically modeled within the framework of a generalized law of universal gravitation. The calculations were carried out with enhanced calculational accuracy with an iteration step of 0.0005 s. It is shown that the average precession of the orbit of Mercury after 100 years within the framework of the given generalization stands at +560''. This is less than the observed shift of the perihelion of Mercury’s orbit by 15'', but greater than the result obtained within the framework of Newton’s classical law of universal gravitation by 28''.