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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\textit{V. I. Nikonov}, Mosc. Univ. Mech. Bull. 69, No. 2, 44--50 (2014; Zbl 1371.70054); translation from Vestn. Mosk. Univ., Ser. I 69, No. 2, 45--51 (2014)

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##### References:

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