Calculation of the Precession of the Perihelion of Mercury's Orbit Within the Framework of Newton's Law of Universal Gravitation

The precession of the perihelion of Mercury's orbit in the gravitational field of the Sun and planets has been numerically modeled within the framework of Newton's law of universal gravitation. The calculations were performed with enhanced calculational accuracy and with an iteration step of 0.0005 s. It has been shown that the average precession of Mercury's orbit after 100 years within the framework of Newton's law of universal gravitation comprises +553''. This is 21'' greater than the generally accepted value of +532''.