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Published online by Cambridge University Press: 14 August 2015
Let us consider motion of an infinitesimal body in the gravitational field of two homogeneous spheroids with coinoident equatorial planes. Let mass of the infinitesimal body M - a material point - be negligible if compared with masses of the spheroids S1, S2 respectively. We will study the motion of M in the common equatorial plane provided that the spheroids move along circular orbits (in an inertial frame of reference) - see Kondurar', 1952.