Relative equilibria in the problem of triangle and point movement under mutual attraction forces / V. I. Nikonov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. № 2. P. 45-51 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

The planar motion of a massive triangle and a point under the action of mutual Newtonian attraction is considered. The steady-state configurations are found and the sufficient conditions of their stability are studied. The applicability of barycentric coordinates are discussed for such problems.

Key words: generalized two-bodies problem, relative equilibria, stability, Poincare's bifurcation diagrams, Smale's bifurcation diagrams, feasible motion regions, barycentric coordinates.