Pulsar Timing Residuals Induced by Gravitational Waves from Single Non-evolving Supermassive Black Hole Binaries with Elliptical Orbits

TL;DR

This paper analyzes how gravitational waves from non-evolving supermassive black hole binaries with elliptical orbits affect pulsar timing residuals, highlighting the impact of orbital eccentricity and applying the analysis to PSR J0437-4715.

Contribution

It provides a detailed analysis of pulsar timing residuals caused by gravitational waves from elliptical orbit binaries, including eccentricity effects and a case study on PSR J0437-4715.

Findings

Timing residuals vary with orbital eccentricity.

Standard deviations of residuals depend on eccentricity.

Application to PSR J0437-4715 shows measurable effects.

Abstract

The pulsar timing residuals induced by gravitational waves from non-evolving single binary sources with general elliptical orbits will be analyzed. For different orbital eccentricities, the timing residuals present different properties. The standard deviations of the timing residuals induced by a fixed gravitational wave source will be calculated for different values of the eccentricity. We will also analyze the timing residuals of PSR J0437-4715 induced by one of the best known single gravitational wave sources, the supermassive black hole binary in the blazar OJ287.