Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...237..216c&link_type=abstract
Astrophysical Journal, Part 1, vol. 237, Apr. 1, 1980, p. 216-226.
Astronomy and Astrophysics
Astrophysics
55
Crab Nebula, Pulsars, Random Walk, Stellar Rotation, Analysis Of Variance, Irregularities, Random Errors, Stellar Models, Torque
Scientific paper
Random walk irregularities in the rotations of pulsars are analyzed by use of the variance of rotational phase, through which consistency with the data can be demonstrated and a strength parameter determined. Application to Princeton optical timing data of the Crab pulsar yields a strength of 0.66 plus or minus 0.31 x 10 to the -22nd sq Hz/s, in agreement with Groth. Higher-order moments of the phase, which would characterize the distribution of step amplitudes, can be determined only if a small number of steps occur in the analyzed time interval. The required intervals (not less than 1 day) for the Crab pulsar unfortunately have phases dominated by random measurement errors. Step amplitudes with a nonzero mean will bias the observed braking index from the index that describes the torque mechanism that spins down the star. For the Crab pulsar, a 20% bias requires rates larger than 1/s if the random walk is damped on a time scale larger than 100 years.
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