This article discusses the influence of the great inequality of Jupiter and Saturn on the stability of the solar system. The main theoretical study of planetary perturbations usint the method of variation of orbital parameters, was evolved by Euler and Lagrange in the eighteenth century. Subsequently Laplace introduced a method for solving a collection of simultaneous differential equations suited for planetary perturbation theory. He clarified that there are limited variations of orbital elements - excentrities, inclinations and semi-major axes. This was the proof required for the stability of the solar system., Vladimír Štefl., and Obsahuje seznam literatury