Physics
Scientific paper
Jan 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990izvf...33...48g&link_type=abstract
Izv. Vyssh. Uchebn. Zaved., Fiz., Vol. 33, No. 1, p. 48 - 52
Physics
Two-Body Problem: Relativity Theory
Scientific paper
The three-dimensional Lagrangian formulation of relativistic theory of direct interactions is applied to the problem of motion of two bodies in the second post-Newtonian approximation. On the basis of the Poincaré-invariance conditions the Lagrange function for a system of two gravitational pointlike particles is constructed, where requirements of consistency with scalar-tensor theory in the linear approximation with respect to gravitational constant and with the Lagrangian of a probe particle in the Schwarzschild field in the one-body problem approximation are taken into account.
Gajda R. P.
Klyuchkovskij Yu. B.
Tretyak Vl. I.
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