Secular Influence of Solar Dark-Matter Accretion upon the Evolution of Orbits of Planets

This paper examines the secular influence of solar dark-matter accretion on the evolution of the orbital elements of planets. The solutions of the perturbation equations are given by using the mean anomaly as the fast variable of integration. The theoretical results obtained are secular rates in the semi-major axis, eccentricity, orbital period, and the time of perihelion passage. The results obtained are applied to the orbital evolution of major planets and of some near-Earth asteroids in our solar system.