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Relative equilibria in the motion of a triangle and a point under mutual attraction. (English. Russian original) Zbl 1371.70054
Mosc. Univ. Mech. Bull. 69, No. 2, 44-50 (2014); translation from Vestn. Mosk. Univ., Ser. I 69, No. 2, 45-51 (2014).
Summary: The plane motion of a triangle and a material point under mutual attraction is considered when three mass points are located at the vertices of the triangle. The steady-state configurations are found and several sufficient conditions of their stability are formulated. The applicability of barycentric coordinates is studied for such problems.

MSC:
70K20 Stability for nonlinear problems in mechanics
70K42 Equilibria and periodic trajectories for nonlinear problems in mechanics
70F05 Two-body problems
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