Galactic rotation and the binary pulsar

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Galactic Rotation, Gravitational Effects, Gravitational Waves, Orbital Elements, Pulsars, Astronomical Models, Milky Way Galaxy, Relativity, Secular Variations

Scientific paper

The secular change in the orbital period of the binary pulsar, PSR 1913+16B, induced by acceleration in the gravitational field of the Galaxy is analyzed. Based on its presently observed dispersion measure, the pulsar is estimated to be about 5 kpc from the solar system. Schmidt's (1965) model of the Galaxy is then used to determine the acceleration of the binary system relative to the local standard of rest, assuming circular motion about the galactic center. It is found that unless the orbital inclination of the pulsar is very close to its present lower limit, the expected change in the binary period due to acceleration in the galactic field will be at least three orders of magnitude smaller than the change due to quadrupole gravitational radiation as predicted by general relativity and about six orders of magnitude smaller than the change resulting from additional dipole gravitational radiation as predicted by the Brans-Dicke theory. This result is shown to be rather insensitive to the estimated distance and expected deviations from strict circular motion.

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