Gravitational wave forms for a three-body system in Lagrange's orbit: Parameter determinations and a binary source test

Journal Article · Tue Sep 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.064021· OSTI ID:21322734

Asada, Hideki ^[1]

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1. Faculty of Science and Technology, Hirosaki University, Hirosaki 036-8561 (Japan)

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.

• OSTI ID: 21322734
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFIGURATION
GRAVITATIONAL WAVES
MASS
OCTUPOLES
THREE-BODY PROBLEM
WAVE FORMS