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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.

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