Eccentric motion of spinning compact binaries

Tessmer, Manuel; Schäfer, Gerhard

doi:10.1103/physrevd.89.104055

Cited by 7 publications

(7 citation statements)

References 69 publications

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“…The explicit form of these multipoles was given by Junker and Schäfer in 1PN order with eccentric anomaly u in refs. [16] and [17]. Later, the authors of [18] have computed the explicit time-dependent multipoles S km up to 2PN.…”

Section: B2km Ijmentioning

confidence: 99%

First order post-Newtonian gravitational waveforms of binaries on eccentric orbits with Hansen coefficients

2015

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The inspiral and merger of supermassive black hole binary systems with high orbital eccentricity are among the promising sources of the advanced gravitational wave observatories. In this paper we derive analytic ready-to-use first post-Newtonian eccentric waveform in Fourier domain with the use of Hansen coefficients. Introducing generic perturbations of celestial mechanics we have generalized the Hansen expansion to the first post-Newtonian order which are then used to express the waveforms. Taking into account the high eccentricity of the orbit leads to the appearance of secular terms in the waveform which are eliminated with the introduction of a phase shift. The waveforms have a systematic structure and as our main result these are expressed in a tabular form.

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Section: B2km Ijmentioning

confidence: 99%

First order post-Newtonian gravitational waveforms of binaries on eccentric orbits with Hansen coefficients

2015

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“…It will be interesting to compare our numerical approach to describe dynamics of spinning compact binaries with the approximate solution, provided in [37], that invoked similar angular variables. We also plan to compare GW phase evolutions under our two prescriptions with those obtained from accurate NR simulations [39].…”

Section: Discussionmentioning

confidence: 99%

“…We would like to note that a recent computation provided a Keplerian type parametric solution for spinning compact binaries in eccentric orbits having their spins aligned or anti-aligned with L, while incorporating higher order spin-orbit and spin-spin interactions [36]. Additionally, another recent investigation reveals that it is possible to tackle the nonintegrable spin-orbit dynamics with the help of certain Lie series transformation [37]. This approach obtained an approximative solution for the spinning binary dynamics in circular orbits that included the next-to-leading-order spin-orbit interactions while expanding η around its equal mass value, namely η = 0.25.…”

Section: Another Plausible Approach For Gw Phasing While Using L To Smentioning

confidence: 99%

“…The above expression may be extracted from the 2PN accurate expressions for the far-zone energy flux and the conserved energy expressed in terms of x, given by equations (6.4), (6.6) and (7.11) in [13]. It should be obvious that we need to solve together equations (35), (36) and (37) numerically to obtain how Φ, ι, α anḋ Φ temporally vary in the present approach, while employing Cartesian components of equations (36). In what follows we sketch how we specify various required initial values.…”

Section: Another Plausible Approach For Gw Phasing While Using L To Smentioning

confidence: 99%

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Time-domain inspiral templates for spinning compact binaries in quasi-circular orbits described by their orbital angular momenta

Gupta¹,

Gopakumar²

2014

Class. Quantum Grav.

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Abstract.We present a prescription to compute the time-domain gravitational wave (GW) polarization states associated with spinning compact binaries inspiraling along quasi-circular orbits. We invoke the orbital angular momentum L rather than its Newtonian counterpart L N to describe the binary orbits while the two spin vectors are freely specified in an inertial frame associated with the initial direction of the total angular momentum. We show that the use of L to describe the orbits leads to additional 1.5PN order amplitude contributions to the two GW polarization states compared to the L N -based approach and discuss few implications of our approach. Further, we provide a plausible prescription for GW phasing based on certain theoretical considerations and which may be treated as the natural circular limit to GW phasing for spinning compact binaries in inspiraling eccentric orbits [Gopakumar A and Schäfer G 2011 Phys. Rev. D 84 124007].

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“…In order to evaluate the source parameters from GW data by using the matched filtering method, meticulous models of the waveforms are required. Models developed based on the post-Newtonian (PN) approach are used for inspiral eccentric binaries [42,[54][55][56][57][58][59][60]. Binaries in eccentric orbits have a well developed PN theory.…”

Section: Introductionmentioning

confidence: 99%

An Eccentric Binary Blackhole in Post-Newtonian Theory

Chowdhury

Khlopov

2022

Symmetry

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Gravitational waves radiated during binary black hole coalescence are a perfect probe for studying the characteristics of strong gravity. Advanced techniques for creating numerical relativity substitute models for eccentric binary black hole systems are presumed to be crucial in existing and anticipated gravitational wave detectors. The imprint on the observation data of the gravitational wave emitted by the binary coalescence enhances two-body system studies. The aim of this study is to present an overview of the change in characteristic behaviors of hierarchical massive astrophysical objects merger, which are the databank of the early universe. We present results from numerical relativity simulations of an equal-mass and unequal mass nonspinning inspiral binary-black-hole system in the Post-Newtonian framework. We also consider the time evolution of eccentricity for an initial eccentric system. The eccentric Post-Newtonian equations are expanded in the form of the frequency related variable x=(Mω)2/3. The model is restricted to the (2, 2) spin-weighted spherical harmonic modes. We conclude that for higher eccentricity as well as mass ratio, there is higher oscillation in orbital radius and in eccentricity.

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Eccentric motion of spinning compact binaries

Cited by 7 publications

References 69 publications

First order post-Newtonian gravitational waveforms of binaries on eccentric orbits with Hansen coefficients

First order post-Newtonian gravitational waveforms of binaries on eccentric orbits with Hansen coefficients

Time-domain inspiral templates for spinning compact binaries in quasi-circular orbits described by their orbital angular momenta

An Eccentric Binary Blackhole in Post-Newtonian Theory

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