ON THE MOTION OF THE BUNDLE OF BODIES IN CENTRAL FORCE FIELD

We consider the problem on the plane motion of three bodies as material points with equal masses, connected by weightless inextensible thread in the form of a regular t riangle when the center is close to the attracting center or coincides with the latter. The problem of the motion of the center of the ligament is given to the solution of one nonlinear equation. This decision determines the drift of the center of the bunc h from the attractive center. In the case of stationary rotation bundles we take into account the density of the con - describing thread and determined by their shape