Abstract

The motion of a dynamically symmetric solid body is considered relatively to its center of mass, placed at the triangular libration point L 4 of the circular restricted problem of three bodies. It is assumed that the motion of the basic bodies M 1 and M 2 of ultimate mass m 1 and m 2, and that of the solid body center of mass O is defined by the equations of the plane circular restricted problem of three bodies. The dimensions of the solid body are assumed small in comparison with the distance of its center of mass to M 1 and M 2, which enables us to neglect the effect of motion of the solid body about its center of mass on the motion of that center itself.

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