Third post-Newtonian accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits

Journal Article · Mon Nov 15 00:00:00 EST 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.104011· OSTI ID:20698012

Memmesheimer, Raoul-Martin; Gopakumar, Achamveedu; Schaefer, Gerhard ^[1]

---

1. Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universitaet Jena, Max-Wien-Platz 1, 07743 Jena (Germany)

We present Keplerian-type parametrization for the solution of third post-Newtonian (3PN) accurate equations of motion for two nonspinning compact objects moving in an eccentric orbit. The orbital elements of the parametrization are explicitly given in terms of the 3PN accurate conserved orbital energy and angular momentum in both Arnowitt-Deser-Misner-type and harmonic coordinates. Our representation will be required to construct post-Newtonian accurate 'ready to use' search templates for the detection of gravitational waves from compact binaries in inspiralling eccentric orbits. Because of the presence of certain 3PN accurate gauge invariant orbital elements, the parametrization should be useful to analyze the compatibility of general relativistic numerical simulations involving compact binaries with the corresponding post-Newtonian descriptions. If required, the present parametrization will also be needed to compute post-Newtonian corrections to the currently employed 'timing formula' for the radio observations of relativistic binary pulsars.

• OSTI ID: 20698012
• Journal Information: Physical Review. D, Particles Fields, Vol. 70, Issue 10; Other Information: DOI: 10.1103/PhysRevD.70.104011; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY
ANGULAR MOMENTUM
BINARY STARS
COMPUTERIZED SIMULATION
CORRECTIONS
DETECTION
EQUATIONS OF MOTION
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
GRAVITATIONAL WAVES
MATHEMATICAL SOLUTIONS
ORBITS
PULSARS
RELATIVISTIC RANGE