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math.DS2026
Central Configurations with Unequal Masses: Finiteness in Several Exceptional Cases of Five Bodies
Małgorzata Moczurad, Piotr Zgliczyński
We provide a computer-assisted proof of the exact count of classes of central configurations for five bodies for several sets of mass values that are exceptional from the point of…
math.DS2021
Central configurations on the plane with heavy and light bodies
Małgorzata Moczurad, Piotr Zgliczyński
We study the problem of planar central configurations with heavy bodies and bodies with arbitrary small masses. We derive the equation which describe the limit of light mas…
math.DS2018★ 17 cited
Central configurations in planar -body problem with equal masses for
Małgorzata Moczurad, Piotr Zgliczyński
We give a computer assisted proof of the full listing of central configuration for -body problem for Newtonian potential on the plane for with equal masses. We show al…