21-year timing of the black-widow pulsar J2051-0827
G. Shaifullah, J. P. W. Verbiest, P. C. C. Freire, T. M. Tauris, N., Wex, S. Os{\l}owski, B. W. Stappers, C. G. Bassa, R. N. Caballero, D.J., Champion, I. Cognard, G. Desvignes, E. Graikou, L. Guillemot, G. H. Janssen,, A. Jessner, C. Jordan, R. Karuppusamy, M. Kramer

TL;DR
This study presents a comprehensive 21-year timing analysis of the black-widow pulsar J2051-0827, revealing new short-term variations, a significant change in dispersion measure, and potential stability for inclusion in pulsar timing arrays.
Contribution
It provides the longest dataset for this system, improves bias correction, and detects new short-term variations and dispersion measure changes.
Findings
Detection of short-term timing variations
Measurement of a significant decrease in dispersion measure
Indication of the pulsar entering a stable state
Abstract
Timing results for the black-widow pulsar J2051-0827 are presented, using a 21-year dataset from four European Pulsar Timing Array telescopes and the Parkes radio telescope. This dataset, which is the longest published to date for a black-widow system, allows for an improved analysis that addresses previously unknown biases. While secular variations, as identified in previous analyses, are recovered, short-term variations are detected for the first time. Concurrently, a significant decrease of approx. 2.5x10-3 cm-3 pc in the dispersion measure associated with PSR J2051-0827 is measured for the first time and improvements are also made to estimates of the proper motion. Finally, PSR J2051-0827 is shown to have entered a relatively stable state suggesting the possibility of its eventual inclusion in pulsar timing arrays.
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