Geodesic
Symmetric elimination of the center of mass motion in the nonrelativistic three-body problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 2, pp. 246-249 
I. Lukach. Symmetric elimination of the center of mass motion in the nonrelativistic three-body problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 2, pp. 246-249. http://geodesic.mathdoc.fr/item/TMF_1977_31_2_a10/
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     title = {Symmetric elimination of the center of mass motion in the nonrelativistic three-body problem},
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     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_31_2_a10/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The generalised Jacobi coordinates for the non-relativistic three-body system with different masses are introduced. These coordinates make it possible to eliminate the centre of mass motion of the system in such a way that the remaining part of the hamiltonian (in the classical as well as quantum-mechanical case) is symmetric with respect to permutations of all three particles.

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[2] M. Allegret, Journal de Mathématiques Pures et Appliquées, ser. 1, 1875, 277 | Zbl

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[5] I. Lukach, Preprint OIYaI R2-9928, Dubna, 1976 | Zbl

[6] I. Lukač, Nucl. Phys., 1977 (to appear)

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