Observational constraints on pulsar binary motion

Details Observational constraints on pulsar binary motion Observational constraints on pulsar binary motion

Feb 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976apj...204..168l&link_type=abstract

Astrophysical Journal, vol. 204, Feb. 15, 1976, pt. 1, p. 168-186.

Mathematics

Probability

21

Binary Stars, Neutron Stars, Pulsars, Stellar Motions, Astronomical Models, Constraints, Error Analysis, Stellar Mass, Time Measurement

Scientific paper

The paper discusses a quantitative investigation of the constraints on pulsar binary motion implied by current timing observations. It is shown that the high precision of measured periods and period derivatives does not by itself provide evidence against binary motion. However, two types of constraints can be derived from current timing observations: statistical statements based on period derivatives, which have a high probability of being true, and absolutely certain statements based on timing residuals and pulse-width considerations. The fact that no pulsar for which the period derivative has been measured shows a secular speeding-up excludes, with high probability, binary periods between 10 days and 100 years for companions more massive than 0.1 solar mass. One year of timing observations leading to a rms time residual of less than 1 ms absolutely excludes all binary periods between approximately 1 minute and 18 years for companions more massive than 0.1 solar mass and orbits with appreciable angles of inclination. These results are summarized as excluded regions in a plot of companion mass versus binary period.

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