Spin effects in gravitational radiation back reaction. II. Finite mass effects

L. Gergely, Z. Perjés, M. Vasúth

Research output: Contribution to journalArticle

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Abstract

A convenient formalism for averaging the losses produced by gravitational radiation back reaction over one orbital period was developed in an earlier paper. In the present paper we generalize this formalism to include the case of a closed system composed from two bodies of comparable masses, one of them having the spin S. We employ the equations of motion given by Barker and O'Connell, where terms up to linear order in the spin (the spin-orbit interaction terms) are kept. To obtain the radiative losses up to terms linear in the spin, the equations of motion are taken to the same order. Then the magnitude L of the angular momentum L, the angle κ subtended by S and L and the energy E are conserved. The analysis of the radial motion leads to a new parametrization of the orbit. From the instantaneous gravitational radiation losses computed by Kidder the leading terms and the spin-orbit terms are taken. Following Apostolatos, Cutler, Sussman, and Thorne, the evolution of the vectors S and L in the momentary plane spanned by these vectors is separated from the evolution of the plane in space. The radiation-induced change in the spin is smaller than the leading-order spin terms in the momentary angular momentum loss. This enables us to compute the averaged losses in the constants of motion E, L and LS = L COSκ. In the latter, the radiative spin loss terms average to zero. An alternative description using the orbital elements a, e, and κ is given. The finite mass effects contribute terms, comparable in magnitude, to the basic, test-particle spin terms in the averaged losses.

Original languageEnglish
Pages (from-to)3423-3432
Number of pages10
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume57
Issue number6
Publication statusPublished - Mar 15 1998

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gravitational waves
Radiation
Term
Orbit
equations of motion
angular momentum
Angular Momentum
formalism
orbits
Equations of Motion
particle spin
orbital elements
spin-orbit interactions
Motion
Linear Order
Parametrization
Instantaneous
Averaging
orbitals
radiation

ASJC Scopus subject areas

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

Cite this

Spin effects in gravitational radiation back reaction. II. Finite mass effects. / Gergely, L.; Perjés, Z.; Vasúth, M.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 57, No. 6, 15.03.1998, p. 3423-3432.

Research output: Contribution to journalArticle

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