Iterative calculation of nonlinear interaction and motions of planets in solar system

Abstract

The system of the equations which models nonlinear gravitational interaction of several planets in solar system is made. The system of the equations is solved numerically on package Maple 10. The effect of nonlinear change of parameters as a result of gravitational interaction is found out. Nonlinear gravitational interaction leads to that orbital speed changes. Accordingly, cycle times of planets change depending on quantity of planets and a configuration of their orbits in system.