The Radio Parallax of the Crab Pulsar: A First VLBI Measurement Calibrated with Giant Pulses

Abstract

We use four observations with the European VLBI network to measure the first precise radio parallax of the Crab Pulsar. We found two in-beam extragalactic sources just outside the Crab Nebula, with one bright enough to use as a background reference source in our data. We use the Crab Pulsar's giant pulses to determine fringe and bandpass calibration solutions, which greatly improved the sensitivity and reliability of our images and allowed us to determine precise positional offsets between the pulsar and the background source. From those offsets, we determine a parallax of $\pi =0.53\pm 0.06\mathrm{mas}$ and proper motion of $({\mu }_{\alpha },{\mu }_{\delta })=(-11.34\pm 0.06,2.65\pm 0.14)\mathrm{mas}\mathrm{y}{\mathrm{r}}^{-1}$, yielding a distance of $d=1.90_{-0.18}^{+0.22}\mathrm{kpc}$ and transverse velocity of $v_{\perp }=104_{-11}^{+13}\mathrm{km}{\mathrm{s}}^{-1}$. These results are consistent with the Gaia 3 measurements, and open up the possibility of far more accurate astrometry with further VLBI observations.

16 pages, 8 figures, accepted for publication in ApJ

References in corpus (21)

• Array Programming with NumPy
• The Astropy Project: Sustaining and Growing a Community-oriented Open-source Project and the Latest Major Release (v5.0) of the Core Package
• Gaia Data Release 3: Summary of the content and survey properties
• Gaia Early Data Release 3: The astrometric solution
• A New Electron Density Model for Estimation of Pulsar and FRB Distances
• Gaia Early Data Release 3: Parallax bias versus magnitude, colour, and position
• A Quick Look at the $3$GHz Radio Sky I. Source Statistics from the Very Large Array Sky Survey
• The SFXC software correlator for Very Long Baseline Interferometry: Algorithms and Implementation
• A Precise Proper Motion for the Crab Pulsar, and the Difficulty of Testing Spin-Kick Alignment for Young Neutron Stars
• The wide-field VLBA calibrator survey -- WFCS
• The Thousand-Pulsar-Array programme on MeerKAT III: Giant pulse characteristics of PSR J0540$-$6919
• MultiView High Precision VLBI Astrometry at Low Frequencies
• A broadband radio study of the average profile and giant pulses from PSR B1821-24A
• Techniques for Accurate Parallax Measurements for 6.7-GHz Methanol Masers
• Precision Southern Hemisphere pulsar VLBI astrometry: techniques and results for PSR J1559-4438
• Resolving the Emission Regions of the Crab Pulsar's Giant Pulses II. Evidence for Relativistic Motion
• The slow rise and recovery of the 2019 Crab pulsar glitch
• Tracing Milky Way scattering by compact extragalactic radio sources
• Giant pulses from J1823-3021A observed with the MeerKAT telescope
• Inverse Multview I: Multi-Calibrator inverse phase referencing for Microarcsecond VLBI Astrometry
• Single band VLBI absolute astrometry

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