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Third post-Newtonian constrained canonical dynamics for binary point masses in harmonic coordinates
2005
Physical Review D
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The conservative dynamics of two point masses given in harmonic coordinates up to the third post-Newtonian (3pN) order is treated within the framework of constrained canonical dynamics. A representation of the approximate Poincar\'e algebra is constructed with the aid of Dirac brackets. Uniqueness of the generators of the Poincar\'e group resp. the integrals of motion is achieved by imposing their action on the point mass coordinates to be identical with that of the usual infinitesimal
doi:10.1103/physrevd.71.044021
fatcat:x4wcguyf5va2blycezwbmgel4u