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

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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. 
@article{TMF_1977_31_2_a10,
     author = {I. Lukach},
     title = {Symmetric elimination of the center of mass motion in the nonrelativistic three-body problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {246--249},
     publisher = {mathdoc},
     volume = {31},
     number = {2},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_31_2_a10/}
}
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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/