Geodesic
Periodic solutions to the optimal control problem of rotation of a rigid body using internal mass
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2020), pp. 63-67

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A two-dimensional problem of time-optimal rotation of a mechanical system consisting of a rigid body and a mass point is considered. The mass point interacts with the body by internal forces only. The periodic optimal trajectories of the mass point passing through the rigid body center of inertia are found. 
@article{VMUMM_2020_3_a11,
     author = {A. M. Shmatkov},
     title = {Periodic solutions to the optimal control problem of rotation of a rigid body using internal mass},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {63--67},
     publisher = {mathdoc},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_3_a11/}
}
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A. M. Shmatkov. Periodic solutions to the optimal control problem of rotation of a rigid body using internal mass. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2020), pp. 63-67. http://geodesic.mathdoc.fr/item/VMUMM_2020_3_a11/