ISSN:
1573-9228
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The three-dimensional Lagrangian of the formulation of relativistic theory of direct interactions is applied to the problem of two-body motion in the second post-Newtonian approximation. On the basis of the conditions of Poincaré invariance, taking account of the requirement of consistency with scalar-tensor theory in the linear approximation with respect to the gravitational constant and with the trial-particle Lagrangian in a Schwarzschild field in the approximation of the single-body problem, the Lagrangian function of a system of two gravitating point particles is constructed. The effectiveness of using both methods of directinteraction theory is shown, permitting, in particular, transition to the Hamiltonian description of the given system.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00896263
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