Comparative study of Mercury’s perihelion advance

Mercury’s motion has been studied using numerical methods in the framework of a model including only non-relativistic Newtonian gravitational interactions solar system: eight major planets and Pluto translation around Sun. Since true trajectory Mercury is an open, non-planar curve, special attention to exact definition advance perihelion given. For this purpose, concepts extended geometrical have introduced. In addition, for each orbital period, mean ellipse was fitted Mercury. I shown that deduced from behavior Laplace–Runge–Lenz vector, as well depend on fitting time interval intervals order 1 000 years converge value 532.1 $$^{\prime \prime }$$ per century. The perihelia, either or geometrical, strongly impacted by influence Jupiter. depends step used calculations, while rotation vector slightly it.