Abstract
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 semimajor axis of the third companion with which the bending of the cumulative-shift curve could occur within 100 yr.
Highlights
The PSR B1913+16 system (Hulse-Taylor binary) found in 1975, is one of the most famous pulsar binaries (Hulse & Taylor 1975)
We study the cumulative shift of the periastron time by the gravitational wave (GW) emission in a hierarchichal triple system with the KL-mechanism and discuss what we will observe through the radio signal from the pulsar
We have studied a hierarchical triple system with the KozaiLidov mechanism and analysed the cumulative shift of periastron time of a binary pulsar by the GW emission
Summary
The PSR B1913+16 system (Hulse-Taylor binary) found in 1975, is one of the most famous pulsar binaries (Hulse & Taylor 1975). This period shift has been detected for over 30 years as the cumulative shift of periastron time through the observation of the radio signal from the pulsar This period shift effect is explained quite well by the GW emission from the binary in general relativity (Weisberg & Taylor 2005; Weisberg, Nice & Taylor 2010). We study the cumulative shift of the periastron time by the GW emission in a hierarchichal triple system with the KL-mechanism and discuss what we will observe through the radio signal from the pulsar. This is the first theoretical prediction to indirect observation of GW from a triple system.
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