Newtonian gravitational field theory: Two-body problem

1971 ◽  
Vol 4 (2) ◽  
pp. 87-92 ◽  
Author(s):  
Solomon L. Schwebel
Keyword(s):  
Field Theory ◽  
Gravitational Field ◽  
Body Problem ◽  
Two Body Problem

The post-Newtonian approximation

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Body Problem ◽  
Equations Of Motion ◽  
Two Body Problem ◽  
Newtonian Approximation ◽  
Actual Motion ◽  
Law Of Attraction ◽  
Universal Law ◽  
Two Bodies

This chapter embarks on a study of the two-body problem in general relativity. In other words, it seeks to describe the motion of two compact, self-gravitating bodies which are far-separated and moving slowly. It limits the discussion to corrections proportional to v2 ~ m/R, the so-called post-Newtonian or 1PN corrections to Newton’s universal law of attraction. The chapter first examines the gravitational field, that is, the metric, created by the two bodies. It then derives the equations of motion, and finally the actual motion, that is, the post-Keplerian trajectories, which generalize the post-Keplerian geodesics obtained earlier in the chapter.

The field theory two-body problem in acoustics

2008 ◽  
Vol 40 (5) ◽  
pp. 1087-1107 ◽  
Author(s):  
Carmen Chicone ◽  
Michael T. Heitzman
Keyword(s):  
Field Theory ◽  
Body Problem ◽  
Two Body Problem

Two-Body Problem in Quantum Field Theory

1971 ◽  
Vol 3 (4) ◽  
pp. 933-944 ◽  
Author(s):  
C. Fronsdal ◽  
Robert W. Huff
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Body Problem ◽  
Quantum Field ◽  
Two Body Problem
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