Spin-down rate of the transitional millisecond pulsar PSR J1023+0038 in the optical band with Aqueye+
Aleksandr Burtovoi (1, 2), Luca Zampieri (2), Michele Fiori (3 and, 2), Giampiero Naletto (3, 2), Alessia Spolon (3, 2), Cesare Barbieri (3, and 2), Alessandro Papitto (4), Filippo Ambrosino (5) ((1) Centre of, Studies, Activities for Space (CISAS) "G. Colombo''

TL;DR
This paper reports the first optical timing solution and spin-down rate measurement of the transitional millisecond pulsar PSR J1023+0038, revealing differences compared to X-ray and radio observations, using high-resolution data from Aqueye+.
Contribution
First optical timing solution and spin-down rate measurement of PSR J1023+0038 using Aqueye+ data, providing new insights into its rotational behavior.
Findings
Optical spin-down rate measured as (-2.53 ± 0.04) × 10^{-15} Hz^2.
Optical spin-down rate is ~20% slower than X-ray measurements from 2013-2016.
Optical spin-down rate is ~5% faster than radio measurements during the rotation-powered state.
Abstract
We present a timing analysis of the transitional millisecond pulsar PSR J1023+0038 using observations taken between January 2018 and January 2020 with the high time resolution photon counter Aqueye+ mounted at the 1.82 m Copernicus telescope in Asiago. We report the first measurement of the timing solution and the frequency derivative of PSR J1023+0038 based entirely on optical data. The spin-down rate of the pulsar is Hz, which is 20% slower than that measured from the X-ray observations taken in 2013-2016 and 5% faster than that measured in the radio band during the rotation-powered state.
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