Geodesic
Vibration points of rotating ``compexified'' triangle
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2016), pp. 25-31

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Differences and similarities of force fields generated by a complex dipole and a “classical” one are discussed. Asymptotic behavior of the real potential of the complex dipole is studied. The results of comparison are applied to the problem of motion of a material point in the field of attraction of a triangle uniformly rotating in its plane about its center of mass. Each vertex of the triangle is assumed to be a complex dipole. The existence of libration points is studied and sufficient conditions of their stability are investigated. 
@article{VMUMM_2016_3_a4,
     author = {D. V. Balandin and V. I. Nikonov},
     title = {Vibration points of rotating ``compexified'' triangle},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {25--31},
     publisher = {mathdoc},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_3_a4/}
}
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D. V. Balandin; V. I. Nikonov. Vibration points of rotating ``compexified'' triangle. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2016), pp. 25-31. http://geodesic.mathdoc.fr/item/VMUMM_2016_3_a4/