Vibration points of rotating “compexified” triangle

D. V. Balandin   ; V. I. Nikonov

Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2016), pp. 25-31

Résumé

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.

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