Gravitational radiation reaction in compact binary systems: Contribution of the quadrupole-monopole interaction

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Abstract

The radiation reaction in compact spinning binaries on eccentric orbits due to the quadrupole-monopole interaction is studied. This contribution is of second post-Newtonian order. As a result of the precession of spins the magnitude L of the orbital angular momentum is not conserved. Therefore a proper characterization of the perturbed radial motion is provided by the energy E and angular average L. As powerful computing tools, the generalized true and eccentric anomaly parametrizations are introduced. Then the secular losses in energy and magnitude of the orbital angular momentum together with the secular evolution of the relative orientations of the orbital angular momentum and spins are found for eccentric orbits by use of the residue theorem. The circular orbit limit of the energy loss agrees with Poisson's earlier result.

Original languageEnglish
Article number024020
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume67
Issue number2
DOIs
Publication statusPublished - 2003

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Binary System
Monopole
Angular Momentum
monopoles
gravitational waves
eccentric orbits
angular momentum
quadrupoles
Orbit
Radiation
orbitals
Energy
Interaction
Residue Theorem
circular orbits
eccentrics
interactions
precession
Parametrization
metal spinning

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

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abstract = "The radiation reaction in compact spinning binaries on eccentric orbits due to the quadrupole-monopole interaction is studied. This contribution is of second post-Newtonian order. As a result of the precession of spins the magnitude L of the orbital angular momentum is not conserved. Therefore a proper characterization of the perturbed radial motion is provided by the energy E and angular average L. As powerful computing tools, the generalized true and eccentric anomaly parametrizations are introduced. Then the secular losses in energy and magnitude of the orbital angular momentum together with the secular evolution of the relative orientations of the orbital angular momentum and spins are found for eccentric orbits by use of the residue theorem. The circular orbit limit of the energy loss agrees with Poisson's earlier result.",
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AB - The radiation reaction in compact spinning binaries on eccentric orbits due to the quadrupole-monopole interaction is studied. This contribution is of second post-Newtonian order. As a result of the precession of spins the magnitude L of the orbital angular momentum is not conserved. Therefore a proper characterization of the perturbed radial motion is provided by the energy E and angular average L. As powerful computing tools, the generalized true and eccentric anomaly parametrizations are introduced. Then the secular losses in energy and magnitude of the orbital angular momentum together with the secular evolution of the relative orientations of the orbital angular momentum and spins are found for eccentric orbits by use of the residue theorem. The circular orbit limit of the energy loss agrees with Poisson's earlier result.

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