Geodesic
Example of~relativistic two-body problem. II.~Equations of motion
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 3, pp. 356-366

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Problem of relativization of the Newton equations for two bodies is solved in the case when the interaction potential is proportional to the distance between the bodies. The obtained relativistic equations are examined in detail. 
@article{TMF_1980_43_3_a6,
     author = {N. A. Chernikov and N. S. Shavokhina},
     title = {Example of~relativistic two-body problem. {II.~Equations} of motion},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {356--366},
     publisher = {mathdoc},
     volume = {43},
     number = {3},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a6/}
}
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N. A. Chernikov; N. S. Shavokhina. Example of~relativistic two-body problem. II.~Equations of motion. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 3, pp. 356-366. http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a6/