Post-Newtonian gravitational radiation of a binary system of relatively extended bodies in the field theory of gravitation

Conclusions

Proceeding from the equations of motion of two bodies and using the wave solution of the equations of the field theory, we have obtained in the post-Newtonian approximation for a binary system of relatively extended bodies expressions for the power L (8) of the gravitational radiation, the radiated gravitational energy E _e (10) during a period of elliptic motion, and the angular momentum ΔJ (19)–(22) carried away by the gravitational waves. On their basis, we have obtained relations for the change in the parameters T and p of a binary system of compact bodies with the passage of time [the expressions (25)–(26)], and also the additional advance of the periastron (27) due to the fact that the bodies are not points. These results make it possible to verify the correspondence between the predictions of the field theory of gravitation and the results of observations of a large class of binary systems and determine the value of the parameter combination b₂+2b₄ of the theory.

It is a pleasant duty to thank Academician A. A. Logunov and V. I. Denisov for valuable discussions of the work, and also A. Ya. Rodionov for assistance in checking the results of calculations on an EC 1040 computer (at the Scientific Research Institute of Nuclear Physics at the Moscow State University) using the program REDUCE for algebraic computations.