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On the gravity of dumbbell-like bodies represented by a pair of intersecting balls. (Russian. English summary) Zbl 1393.70035
Summary: The problem of the motion of a particle in the gravity field of a homogeneous dumbbell-like body composed of a pair of intersecting balls, whose radii are, in general, different, is studied. Approximation for the Newtonian potential of attraction is obtained. Relative equilibria and their properties are studied under the assumption of uniform rotation of the dumbbells.

70K20 Stability for nonlinear problems in mechanics
70K42 Equilibria and periodic trajectories for nonlinear problems in mechanics
70F05 Two-body problems
Full Text: DOI MNR
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