Coherent Bayesian inference on compact binary inspirals using a - - PowerPoint PPT Presentation
Coherent Bayesian inference on compact binary inspirals using a network of interferometric gravitational wave detectors over 1 , Renate Meyer 1 , and Nelson Christensen 2 Christian R 1 The University of Auckland Auckland, New Zealand 2
1The University of Auckland
2Carleton College
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Hanford, WA Pisa, Italy Livingston, LA Hannover, Germany
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total mass (mt = m1 + m2) luminosity distance (dL) 5 10 15 20 50 100 150 200
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inclination angle (ι) luminosity distance (dL) π 2 π 50 100 150 200
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(sun masses) 2 4 6 8 10
(radian) π 2 π
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1 Ti
1W.R. Gilks et al.: Markov chain Monte Carlo in practice (Chapman & Hall / CRC, 1996).
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Hanford Livingston Pisa (seconds) −0.15 −0.10 −0.05 0.00 = tc
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declination (δ)
(radian) −0.55 −0.50 −0.45 −0.40
right ascension (α)
(radian) 4.60 4.65 4.70 4.75 4.80
coalescence time (tc)
(seconds) 9012.340 9012.344 9012.348
luminosity distance (dL)
(Mpc) 10 20 30 40 50 60
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chirp mass (mc)
(sun masses) 2.685 2.695 2.705 2.715
mass ratio (η)
0.18 0.19 0.20 0.21 0.22 0.23 0.24
individual masses (m1, m2)
(sun masses) 2 3 4 5
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chirp mass (mc) mass ratio (η) 2.685 2.690 2.695 2.700 2.705 2.710 2.715 0.19 0.20 0.21 0.22 0.23
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18.2h 18h 17.8h 17.6h 17.4h −34° −32° −30° −28° −26° −24° right ascension α declination δ
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1 2
1 4
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18h 30′ 18h 00′ 17h 30′ 17h 00′ −40° −35° −30° −25° −20° right ascension α declination δ
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18h 30′ 18h 00′ 17h 30′ 17h 00′ −40° −35° −30° −25° −20° right ascension α declination δ
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18h 30′ 18h 00′ 17h 30′ 17h 00′ −40° −35° −30° −25° −20° right ascension α declination δ
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18h 30′ 18h 00′ 17h 30′ 17h 00′ −40° −35° −30° −25° −20° right ascension α declination δ
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iteration log(p(θ|y)) 10 000 20 000 30 000 40 000 50 000 60 000 −79740 −79700 −79660 −79620
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