Nature of cyclical changes in the timing residuals from the pulsar B1642-03
T. V. Shabanova (PRAO)

TL;DR
This study analyzes 40 years of pulsar B1642-03 data, revealing cyclical glitch patterns modulated by a large-scale sawtooth function, with implications for understanding pulsar timing residuals and glitch behavior.
Contribution
It uncovers a periodic modulation of glitch amplitudes and timing intervals, proposing a 60-year cycle as the underlying pattern in pulsar B1642-03's behavior.
Findings
Glitch amplitudes are linearly correlated with the time to the next glitch.
Glitch amplitudes are modulated by a 60-year sawtooth-like cycle.
Timing residuals repeat every 60 years due to this modulation.
Abstract
We report an analysis of timing data for the pulsar B1642-03 (J1645-0317) gathered over the 40-year time span between 1969 and 2008. During this interval, the pulsar experienced eight glitch-like events with a fractional increase in the rotation frequency Deltanu/nu=(0.9-2.6)x10^{-9}. We have revealed two important relations in the properties of these peculiar glitches. The first result shows that there is a strong linear correlation between the amplitude of the glitch and the time interval to the next glitch. The second result shows that the amplitude of the glitches is modulated by a periodic large-scale sawtooth-like function. As a result of this modulation, the glitch amplitude varies discretely from glitch to glitch with a step of 1.5x10^{-9} Hz in the range (2.4-6.9)x10^{-9} Hz. The post-glitch time interval also varies discretely with a step of about 600 days in the range…
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