Open Access
2017 2+2 Moulton Configuration
Naoko Yoshimi
J. Geom. Symmetry Phys. 45: 95-110 (2017). DOI: 10.7546/jgsp-45-2017-95-110


We pose a new problem of collinear central configurations in Newtonian $n$-body problem. It is known that the configuration of two bodies moving along the Newtonian force is always a collinear central configuration. Can we add new two bodies on the straight line of initial two bodies without changing the move of the initial two bodies and the configuration of the four bodies is central, too? We call it 2+2 Moulton configuration. We find three special solutions to this problem and find each mass of new two bodies is zero.


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Naoko Yoshimi. "2+2 Moulton Configuration." J. Geom. Symmetry Phys. 45 95 - 110, 2017.


Published: 2017
First available in Project Euclid: 5 December 2017

zbMATH: 06854990
MathSciNet: MR3751724
Digital Object Identifier: 10.7546/jgsp-45-2017-95-110

Rights: Copyright © 2017 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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