### Abstract

The gravitational radiation hack reaction effects are considered in the Lense-Thirring approximation. New methods for parametrizing the orbit and for averaging the instantaneous radiative losses are developed. To first order in the spin S of the black hole, both in the absence and in the presence of gravitational radiation, a complete description of the test-particle orbit is given. This is achieved by two improvements over the existing descriptions: first, by introducing new angle variables with a straightforward geometrical meaning: second, by finding a new parametrization of a generic orbit, which assures that the integration over a radial period can be done in an especially simple way, by applying the residue theorem. The instantaneous gravitational radiation losses of the system are computed using the formulation of Blanchet. Damour and Iyer. All losses are given both in terms of the dynamical constants of motion and the properly defined orbital elements a, e, ι and ψ_{0}. The radiative losses of the constants characterizing the Lense-Thirring motion, when suitably converted, are in agreement with earlier results of Kidder, Will and Wiseman. Ryan and Shibata. In addition, the radiative losses of two slowly changing orbital elements ψ_{0} , Φ_{0} are given in order to complete the characterization of the orbit.

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

Pages (from-to) | 876-884 |

Number of pages | 9 |

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

Volume | 57 |

Issue number | 2 |

Publication status | Published - Jan 15 1998 |

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### 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. I. The Lense-Thirring approximation.** / Gergely, L.; Perjés, Zoltán I.; Vasúth, M.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 57, no. 2, pp. 876-884.

}

TY - JOUR

T1 - Spin effects in gravitational radiation back reaction. I. The Lense-Thirring approximation

AU - Gergely, L.

AU - Perjés, Zoltán I.

AU - Vasúth, M.

PY - 1998/1/15

Y1 - 1998/1/15

N2 - The gravitational radiation hack reaction effects are considered in the Lense-Thirring approximation. New methods for parametrizing the orbit and for averaging the instantaneous radiative losses are developed. To first order in the spin S of the black hole, both in the absence and in the presence of gravitational radiation, a complete description of the test-particle orbit is given. This is achieved by two improvements over the existing descriptions: first, by introducing new angle variables with a straightforward geometrical meaning: second, by finding a new parametrization of a generic orbit, which assures that the integration over a radial period can be done in an especially simple way, by applying the residue theorem. The instantaneous gravitational radiation losses of the system are computed using the formulation of Blanchet. Damour and Iyer. All losses are given both in terms of the dynamical constants of motion and the properly defined orbital elements a, e, ι and ψ0. The radiative losses of the constants characterizing the Lense-Thirring motion, when suitably converted, are in agreement with earlier results of Kidder, Will and Wiseman. Ryan and Shibata. In addition, the radiative losses of two slowly changing orbital elements ψ0 , Φ0 are given in order to complete the characterization of the orbit.

AB - The gravitational radiation hack reaction effects are considered in the Lense-Thirring approximation. New methods for parametrizing the orbit and for averaging the instantaneous radiative losses are developed. To first order in the spin S of the black hole, both in the absence and in the presence of gravitational radiation, a complete description of the test-particle orbit is given. This is achieved by two improvements over the existing descriptions: first, by introducing new angle variables with a straightforward geometrical meaning: second, by finding a new parametrization of a generic orbit, which assures that the integration over a radial period can be done in an especially simple way, by applying the residue theorem. The instantaneous gravitational radiation losses of the system are computed using the formulation of Blanchet. Damour and Iyer. All losses are given both in terms of the dynamical constants of motion and the properly defined orbital elements a, e, ι and ψ0. The radiative losses of the constants characterizing the Lense-Thirring motion, when suitably converted, are in agreement with earlier results of Kidder, Will and Wiseman. Ryan and Shibata. In addition, the radiative losses of two slowly changing orbital elements ψ0 , Φ0 are given in order to complete the characterization of the orbit.

UR - http://www.scopus.com/inward/record.url?scp=0040774903&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040774903&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0040774903

VL - 57

SP - 876

EP - 884

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 2

ER -