The two-body problem in general relativity

Details The two-body problem in general relativity The two-body problem in general relativity

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987crasb.305..839d&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie II - Mecanique, Physique, Chimie, Sciences de l'Univers, Sciences de la Ter

Astronomy and Astrophysics

Astronomy

12

Gravitational Effects, Pulsars, Relativity, Two Body Problem, Binary Stars, Conservation Laws, Hamiltonian Functions, Secular Variations

Scientific paper

The authors study the dynamics of a system of two comparable masses, at the second post-Newtonian approximation of general relativity (i.e. at the last level where the system is still conservative). They obtain explicit expressions of the radial period and secular periastron advance in terms of energy and angular momentum. The authors then deduce the expression of the periastron advance in terms of the masses and directly observable quantities. The latter result is of observational significance in view of the high precision now obtained in measuring the binary pulsar PSR 1913+16.

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