Effects of periodicity in observation scheduling on parameter estimation of pulsar glitches
arXiv:2104.07363 · doi:10.1093/mnras/stab1097
Abstract
In certain pulsar timing experiments, where observations are scheduled approximately periodically (e.g. daily), timing models with significantly different frequencies (including but not limited to glitch models with different frequency increments) return near-equivalent timing residuals. The average scheduling aperiodicity divided by the phase error due to time-of-arrival uncertainties is a useful indicator of when the degeneracy is important. Synthetic data are used to explore the effect of this degeneracy systematically. It is found that phase-coherent tempo2 or temponest-based approaches are biased sometimes toward reporting small glitch sizes regardless of the true glitch size. Local estimates of the spin frequency alleviate this bias. A hidden Markov model is free from bias towards small glitches and announces explicitly the existence of multiple glitch solutions but sometimes fails to recover the correct glitch size. Two glitches in the UTMOST public data release are re-assessed, one in PSR J17094429 at MJD 58178 and the other in PSR J14526036 at MJD 58600. The estimated fractional frequency jump in PSR J17094429 is revised upward from to with the aid of additional data from the Parkes radio telescope. We find that the available UTMOST data for PSR J14526036 are consistent with with , where is the observation scheduling period. Data from the Parkes radio telescope can be included, and the case is selected unambiguously with a combined dataset.
arXiv commentAccepted for publication in MNRAS. 16 pages, 12 figures
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