Understanding and improving the timing of PSR J0737-3039B

TL;DR

This paper investigates the timing irregularities of pulsar B in the PSR J0737-3039A/B system over four years, modeling red noise to enhance the precision of mass ratio measurements crucial for testing general relativity.

Contribution

It introduces a model of pulsar B's beam shape and wind to mitigate red noise, improving the mass ratio measurement precision by a factor of 2.6, aiding future gravity tests.

Findings

Red noise signatures identified in pulsar B timing.

Modeling beam shape and wind constrains red noise effects.

Potential 2.6-fold improvement in mass ratio measurement.

Abstract

The double pulsar (PSR J0737-3039A/B) provides some of the most stringent tests of general relativity (GR) and its alternatives. The success of this system in tests of GR is largely due to the high-precision, long-term timing of its recycled-pulsar member, pulsar A. On the other hand, pulsar B is a young pulsar that exhibits significant short-term and long-term timing variations due to the electromagnetic-wind interaction with its companion and geodetic precession. Improving pulsar B's timing precision is a key step towards improving the precision in a number of GR tests with PSR J0737-3039A/B. In this paper, red noise signatures in the timing of pulsar B are investigated using roughly a four-year time span, from 2004 to 2008, beyond which time the pulsar's radio beam precessed out of view ... The timing of pulsar B presented in this paper depends on the size of the pulsar's orbit, which was calculated from GR, in order to precisely account for orbital timing delays. Consequently, our timing cannot directly be used to test theories of gravity. However, our modelling of the beam shape and radial wind of pulsar B can indirectly aid future efforts to time this pulsar by constraining part of the additional red noise observed on top of the orbital delays. As such, we conclude that, in the idealised case of zero covariance between our model's parameters and those of the timing model, our model can bring about a factor 2.6 improvement on the measurement precision of the mass ratio, R = mA/mB, between the two pulsars: a theory-independent parameter, which is pivotal in tests of GR.