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On Dynamics of a Dumbbell Satellite with a Small Load on the Leier

We study rotations about mass center of a dumbbell satellite that moves along the circular orbit in the Newtonian Central Force Field. Rotations are forced by a small load coasting along on the cable with ends fixed in the satellite endpoints. (We call this cable ‘a leier’). We deduce criterion defining the direction of the dumbbell upturning if the satellite initially is quasi-tangent to the orbit. Moreover, we study the satellite asymptotic motions consisting of one half-turn as the manifold dividing the system variables space into the areas of different motions.
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