Cumulative Shift of Periastron Time of Binary Pulsar with Kozai-Lidov Oscillation

Abstract

We study a hierarchical triple system with the Kozai-Lidov mechanism, and analyse the cumulative shift of periastron time of a binary pulsar by the emission of gravitational waves. Time evolution of the osculating orbital elements of the triple system is calculated by directly integrating the first-order post-Newtonian equations of motion. The Kozai-Lidov mechanism will bend the evolution curve of the cumulative shift when the eccentricity becomes large. We also investigate the parameter range of mass and semi-major axis of the third companion with which the bending of the cumulative-shift curve could occur within 100 years.

6 pages, 3 figures, accepted by MNRAS letters

References in corpus (7)

• Timing Measurements of the Relativistic Binary Pulsar PSR B1913+16
• Steady-state planet migration by the Kozai-Lidov mechanism in stellar binaries
• Spin-Orbit Misalignment of Merging Black-Hole Binaries with Tertiary Companions
• The rate of WD-WD head-on collisions may be as high as the SNe Ia rate
• Eccentricity and Spin-Orbit Misalignment in Short-Period Stellar Binaries as a Signpost of Hidden Tertiary Companions
• KELT-16b: A highly irradiated, ultra-short period hot Jupiter nearing tidal disruption
• Ruling out Kozai resonance in highly eccentric galactic binary millisecond pulsar PSR J1903+0327