The Distribution of Rotation Speeds in Optical Polarization Position Angle Rotations in Blazars.

2021 
At optical wavelengths, blazar Electric Vector Position Angle (EVPA) rotations linked with gamma-ray activity have been the subject of intense interest and systematic investigation for over a decade. One difficulty in the interpretation of EVPA rotations is the inherent 180{\deg} ambiguity in the measurements. It is therefore essential, when studying EVPA rotations, to ensure that the typical time-interval between successive observations - i.e. the cadence - is short enough to ensure that the correct modulo 180{\deg} value is selected. This optimal cadence depends on the maximum intrinsic EVPA rotation speed in blazars, which is currently not known. In this paper we address the questions of (i) the upper limit of rotation speeds for rotations greater than 90{\deg}, (ii) the observation cadence required to detect such rotations, (iii) whether rapid rotations have been missed in EVPA rotation studies thus far, (iv) what fraction of data is affected by the ambiguity, and (v) how likely detected rotations are affected by the ambiguity. We answer these questions with three seasons of optical polarimetric observations of a statistical sample of blazars sampled weekly with the RoboPol instrument and an additional season with daily observations. We model the distribution of EVPA changes on time scales from 1-3 days and estimate the fraction of changes exceeding 90{\deg}. We show that daily observations are necessary to measure >96% of optical EVPA variability in blazars correctly and that intra-day observations are needed to measure the fastest rotations that have been seen thus far.
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