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.

arXiv comment6 pages, 3 figures, accepted by MNRAS letters

References in corpus (27)

• Binary and Millisecond Pulsars
• Timing Measurements of the Relativistic Binary Pulsar PSR B1913+16
• Secular Dynamics in Hierarchical Three-Body Systems
• The Kozai Mechanism and the Evolution of Binary Supermassive Black Holes
• A millisecond pulsar in a stellar triple system
• On the Formation of Hot Jupiters in Stellar Binaries
• Resonant Post-Newtonian Eccentricity Excitation in Hierarchical Three-body Systems
• Four-Body Effects in Globular Cluster Black Hole Coalescence
• Steady-state planet migration by the Kozai-Lidov mechanism in stellar binaries
• Formation and Stellar Spin-Orbit Misalignment of Hot Jupiters from Lidov-Kozai Oscillations in Stellar Binaries
• Rapid Eccentricity Oscillations and the Mergers of Compact Objects in Hierarchical Triples
• Tidal stellar disruptions by massive black hole pairs: II. Decaying binaries
• The tidal disruption rate in dense galactic cusps containing a supermassive binary black hole
• The Triple Pulsar System PSR B1620-26 in M4
• Enhanced tidal disruption rates from massive black hole binaries
• On incorporating post-Newtonian effects in N-body dynamics
• 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
• Multiple Tidal Disruptions as an Indicator of Binary Super-Massive Black Hole Systems
• Eccentricity and Spin-Orbit Misalignment in Short-Period Stellar Binaries as a Signpost of Hidden Tertiary Companions
• The formation of the eccentric-orbit millisecond pulsar J1903+0327 and the origin of single millisecond pulsars
• Einstein@Home Discovery of 24 Pulsars in the Parkes Multi-beam Pulsar Survey
• Orbital flips in hierarchical triple systems: relativistic effects and third-body effects to hexadecapole order
• KELT-16b: A highly irradiated, ultra-short period hot Jupiter nearing tidal disruption
• Post-Newtonian effects in N-body dynamics: Relativistic precession and conserved quantities in hierarchical triple systems
• The non-resonant, relativistic dynamics of circumbinary planets
• Ruling out Kozai resonance in highly eccentric galactic binary millisecond pulsar PSR J1903+0327

Cited by in corpus (6)

• A non-interacting Galactic black hole candidate in a binary system with a main-sequence star
• Gravitational Collider Physics via Pulsar-Black Hole Binaries
• Radial-velocity variation of a tertiary star orbiting a binary black hole in coplanar and non-coplanar triples: short- and long-term anomalous behavior
• Post-Newtonian Kozai-Lidov Mechanism and its Effect on Cumulative Shift of Periastron Time of Binary Pulsar
• Effect of a second compact object on stable circular orbits
• General Relativistic Effects on Hill Stability of Multi-Body Systems I: Stability of Three-Body Systems Containing a Massive Black Hole