DETERMINATION OF EQUILIBRIUM POINTS IN THE RESTRICTED PROBLEM OF EIGHT BODIES

Evghenii GREBENICOV , Elena CEBOTARU Universitatea Tehnică a Moldovei

Abstract

The Newtonian restricted problem of 8-bodies is considered. The conditions of existence of the configuration are studied. The stationary solutions (equilibrium positions) in the restricted problem by eight bodies with incomplete symmetry is determined in this paper. Analytic and numerical calculations are done by with the system Mathematica. Keywords: Newtonian problem, configuration, particular solutions, equilibrium points, differential equations of motion.