XXXVII Workshop on Geometric Methods in Physics 1-7.07.2018
VII School on Geometry and Physics 25-29.06.2018

Naoko Yoshimi

2+1-Moulton Configuration

We pose a new problem of collinear central configurations in Newtonian $n$-body problem based {Â¥it{Moulton configuration}}, that is, can we add a new body on the straight line of initial two bodies without changing the move of the initial two bodies and the configuration of the three bodies is central, too?
Then we find there exist three solutions which the positions are outside of initial bodies or between their, and the mass of new body is zero.
But when we allow the motion and the center of mass of three bodies are free, the mass of added body is positive.

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of Bialystok
University of Bialystok

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