A Novel Technique for Long-term Timing of Redback Millisecond Pulsars

TL;DR

This paper introduces a new timing technique for redback millisecond pulsars that isolates pulsar signals to accurately measure their spin and orbital variations over long periods, even with complex orbital changes.

Contribution

The novel technique effectively isolates pulsar signals for long-term timing analysis, improving accuracy in systems with significant orbital variations.

Findings

Timing solutions consistent with conventional methods

Detection of quasi-periodic orbital oscillations in Terzan 5P

Correlation between phase variation and spin frequency

Abstract

We present timing solutions spanning nearly two decades for five redback (RB) systems found in globular clusters (GC), created using a novel technique that effectively "isolates" the pulsar. By accurately measuring the time of passage through periastron ($T_0$) at points over the timing baseline, we use a piecewise-continuous, binary model to get local solutions of the orbital variations that we pair with long-term orbital information to remove the orbital timing delays. The isolated pulse times of arrival can then be fit to describe the spin behavior of the millisecond pulsar (MSP). The results of our timing analyses via this method are consistent with those of conventional timing methods for binaries in GCs as demonstrated by analyses of NGC 6440D. We also investigate the observed orbital phase variations for these systems. Quasi-periodic oscillations in Terzan 5P's orbit may be the result of changes to the gravitational-quadruple moment of the companion as prescribed by the Applegate model. We find a striking correlation between the standard deviation of the phase variations as a fraction of a system's orbit ($\sigma_{\Delta T_0}$) and the MSP's spin frequency, as well as a potential correlation between $\sigma_{\Delta T_0}$ and the binary's projected semi-major axis. While long-term RB timing is fraught with large systematics, our work provides a needed alternative for studying systems with significant orbital variations, especially when high-cadence monitoring observations are unavailable.