Physics
Scientific paper
Aug 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976phrvd..14..861b&link_type=abstract
Physical Review D - Particles and Fields, 3rd Series, vol. 14, Aug. 15, 1976, p. 861-869.
Physics
19
Equations Of Motion, Gravitational Effects, Orbital Mechanics, Spin Dynamics, Stellar Rotation, Two Body Problem, Doppler Effect, Euler-Lagrange Equation, Hamiltonian Functions, Precession, Pulsars, Red Shift
Scientific paper
The Lagrangian and the Hamiltonian in the gravitational two-body problem with spin is generalized by including the parametrized post-Newtonian parameters gamma and beta. By this procedure the precession of the orbit as well as the precession of the spin are obtained. Equations of motion corresponding to an arbitrary spin supplementary condition are also given. It is shown how the masses of the binary pulsar PSR 1913 + 16 and its companion are related to the orbit and spin precessions. Combining this with a result derivable from the second-order Doppler effect and the gravitational red-shift, a relation is obtained constraining the values that gamma and beta can take.
Barker B. M.
Oconnell R. F.
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