ABOUT MOTION OF CONNECTED BODIES IN A CENTRAL FIELD OF FORCES

The problem of plane motion of three bodies as material points with equal masses, connected by the weightless inextensible cords shaped like a regular triangle when its center is close to the attracting center or coincides with the last is considered. The task of the motion of connected bodies center was put for the solution of a single nonlinear equation. This solution determines the drift of connected bodies center away from the attracting center. In case of steady rotation of the connected bodies center, the density of connecting threads should be taken into account. Their configuration and tension force are defined.