Second post-Newtonian radiative evolution of the relative orientations of angular momenta in spinning compact binaries

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Abstract

The radiative evolution of the relative orientations of the spin and orbital angular momentum vectors S1, S2 and L, characterizing a binary system on an eccentric orbit is studied up to the second post-Newtonian order. As an intermediate result, all Burke-Thorne type instantaneous radiative changes in the spins are shown to average out over a radial period. It is proved that spin-orbit and spin-spin terms contribute to the radiative angular evolution equations, while Newtonian, first and second post-Newtonian terms together with the leading order tail terms do not. In complement to the spin-orbit contribution, given earlier, the spin-spin contribution is computed and split into two-body and self-interaction parts. The latter provide the second post-Ne wtonian order corrections to the 3/2 order Lense-Thirring description.

Original languageEnglish
Article number024007
Pages (from-to)1-6
Number of pages6
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume62
Issue number2
Publication statusPublished - Jul 15 2000

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Angular Momentum
metal spinning
angular momentum
Binary
Orbit
Term
orbits
eccentric orbits
Binary System
complement
Instantaneous
Evolution Equation
Tail
Complement
orbitals
Interaction

ASJC Scopus subject areas

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

Cite this

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abstract = "The radiative evolution of the relative orientations of the spin and orbital angular momentum vectors S1, S2 and L, characterizing a binary system on an eccentric orbit is studied up to the second post-Newtonian order. As an intermediate result, all Burke-Thorne type instantaneous radiative changes in the spins are shown to average out over a radial period. It is proved that spin-orbit and spin-spin terms contribute to the radiative angular evolution equations, while Newtonian, first and second post-Newtonian terms together with the leading order tail terms do not. In complement to the spin-orbit contribution, given earlier, the spin-spin contribution is computed and split into two-body and self-interaction parts. The latter provide the second post-Ne wtonian order corrections to the 3/2 order Lense-Thirring description.",
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AB - The radiative evolution of the relative orientations of the spin and orbital angular momentum vectors S1, S2 and L, characterizing a binary system on an eccentric orbit is studied up to the second post-Newtonian order. As an intermediate result, all Burke-Thorne type instantaneous radiative changes in the spins are shown to average out over a radial period. It is proved that spin-orbit and spin-spin terms contribute to the radiative angular evolution equations, while Newtonian, first and second post-Newtonian terms together with the leading order tail terms do not. In complement to the spin-orbit contribution, given earlier, the spin-spin contribution is computed and split into two-body and self-interaction parts. The latter provide the second post-Ne wtonian order corrections to the 3/2 order Lense-Thirring description.

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