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The Three-Body Problem

1995
Ours, according to Leibniz, is the best of all possible worlds, and the laws of nature can therefore be described in terms of extremal principles. Thus, arising from corresponding variational problems, the differential equations of mechanics have invariance properties relative to certain groups of coordinate transformations.
Carl Ludwig Siegel, Jürgen K. Moser
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On the Problem of three Bodies

Publications of the Astronomical Society of Japan, 1954
Abstract On the planar problem of three bodies, representing the positions of the three bodies by the polar coordinates referred to the centre of the circle, which passes the three bodies, we first derived easily the equilateral triangular solution, and found that the problem of determining the polar coordinates of the bodies is ...
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Global patterns in excess body weight and the associated cancer burden

Ca-A Cancer Journal for Clinicians, 2019
Ahmedin Jemal, Susan Gapstur
exaly  

Exact ground state of several N-body problems with an N-body potential

Journal of Mathematical Physics, 1999
Khare Avinash
exaly  

Yet Another Class of New Solvable N-Body Problems of Goldfish Type

Qualitative Theory of Dynamical Systems, 2016
Francesco Calogero, Calogero Francesco
exaly  

Integrable and solvable many-body problems in the plane via complexification

Journal of Mathematical Physics, 1998
Francesco Calogero, Calogero F
exaly  

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