2009/07/31 by Hideki Asada
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Geophysics and Gravity Measurements #Geophysics and Sensor Technology #Pulsars and Gravitational Waves Research #astro-ph.HE #gr-qc
paper · pdf · doi:10.1103/physrevd.80.064021
published as Phys.Rev.D80:064021,2009 · 21 pages, 3 figures, 1 table; text improved, typos corrected; accepted for publication in PRD
arxiv created 2009/08/31 · openalex publication_date 2009/09/16 · arxiv updated 2010/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Continuing work initiated in an earlier publication [Y. Torigoe, K. Hattori, and H. Asada, Phys. Rev. Lett. 102, 251101 (2009)], gravitational wave forms for a three-body system in Lagrange's orbit are considered especially in an analytic method. First, we derive an expression of the three-body wave forms at the mass quadrupole, octupole, and current quadrupole orders. By using the expressions, we solve a gravitational-wave inverse problem of determining the source parameters to this particular configuration (three masses, a distance of the source to an observer, and the orbital inclination angle to the line of sight) through observations of the gravitational wave forms alone. For this purpose, the chirp mass to a three-body system in the particular configuration is expressed in terms of only the mass ratios by deleting initial angle positions. We discuss also whether and how a binary source can be distinguished from a three-body system in Lagrange's orbit or others.