### Abstract

The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, expanding and generalizing our previous treatments of the Lense-Thirring motion and the one-spin limit. The spin-orbit and spin-spin effects up to the 3/2 post-Newtonian order are considered, both in the equations of motion and in the radiative losses. The description of the orbit in terms of the true anomaly parametrization provides a simple averaging technique, based on the residue theorem, over eccentric orbits. The evolution equations of the angle variables characterizing the relative orientation of the spin and orbital angular momenta reveal a speed-up effect due to the eccentricity. The dissipative evolution of the relevant dynamical and angular variables is presented in the form of a closed system of differential equations.

Original language | English |
---|---|

Article number | 124001 |

Pages (from-to) | 1240011-1240019 |

Number of pages | 9 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 58 |

Issue number | 12 |

Publication status | Published - Dec 15 1998 |

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### ASJC Scopus subject areas

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

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*58*(12), 1240011-1240019. [124001].

**Spin effects in gravitational radiation back reaction. III. Compact binaries with two spinning components.** / Gergely, L.; Perjés, Zoltán I.; Vasúth, M.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 58, no. 12, 124001, pp. 1240011-1240019.

}

TY - JOUR

T1 - Spin effects in gravitational radiation back reaction. III. Compact binaries with two spinning components

AU - Gergely, L.

AU - Perjés, Zoltán I.

AU - Vasúth, M.

PY - 1998/12/15

Y1 - 1998/12/15

N2 - The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, expanding and generalizing our previous treatments of the Lense-Thirring motion and the one-spin limit. The spin-orbit and spin-spin effects up to the 3/2 post-Newtonian order are considered, both in the equations of motion and in the radiative losses. The description of the orbit in terms of the true anomaly parametrization provides a simple averaging technique, based on the residue theorem, over eccentric orbits. The evolution equations of the angle variables characterizing the relative orientation of the spin and orbital angular momenta reveal a speed-up effect due to the eccentricity. The dissipative evolution of the relevant dynamical and angular variables is presented in the form of a closed system of differential equations.

AB - The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, expanding and generalizing our previous treatments of the Lense-Thirring motion and the one-spin limit. The spin-orbit and spin-spin effects up to the 3/2 post-Newtonian order are considered, both in the equations of motion and in the radiative losses. The description of the orbit in terms of the true anomaly parametrization provides a simple averaging technique, based on the residue theorem, over eccentric orbits. The evolution equations of the angle variables characterizing the relative orientation of the spin and orbital angular momenta reveal a speed-up effect due to the eccentricity. The dissipative evolution of the relevant dynamical and angular variables is presented in the form of a closed system of differential equations.

UR - http://www.scopus.com/inward/record.url?scp=0542375087&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0542375087&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0542375087

VL - 58

SP - 1240011

EP - 1240019

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 12

M1 - 124001

ER -