We calculate in this article an exact theoretical value obtained classically for the secular precession of the perihelion of Mercury, followed by the theory of Stockwell, based on planetary theory of Laplace, your Mécanique Céleste: found 5600’’.84 of arc per century for the angular velocity of the longitude of the perihelion of Mercury, dω/dt, adding to the precession of the equinoxes of the Earth relative to the beginning of the year 1850, as calculated by Stockwell.
Evolving Trends in Engineering and Technology (Volume 3)
V. M. dos Santos Godoi "The Precession of the Perihelion of Mercury Explained by Celestial Mechanics of Laplace", Evolving Trends in Engineering and Technology, Vol. 3, pp. 11-18, 2014