(ed.). Gravitational waves (IOP, 2001)(422s).

172 Detection of scalar gravitational wavesTable 11.1. Eigenvalues kn0 S R, relative weights D n0 and H n coefficients for a hollowsphere with Poisson ratio σ P = 1/3. Values are given for a few different thicknessparameters ς.ς n k S n0 R D n0 H n0.01 1 5.487 38 −0.000 143 328 0.909 291 12.233 2 −0.001 596 36 0.141 942 18.632 1 −0.005 589 61 0.059 264 24.969 3 −0.001 279 0.032 670.10 1 5.454 10 −0.014 218 0.895 301 11.924 1 −0.151 377 0.150 482 17.727 7 −0.479 543 0.049 224 23.541 6 −0.859 885 0.043 110.15 1 5.377 09 −0.045 574 0.860 762 11.387 9 −0.434 591 0.176 463 17.105 −0.939 629 0.056 744 23.605 −0.806 574 0.053 960.25 1 5.048 42 −0.179 999 0.737 272 10.651 5 −0.960 417 0.305 323 17.819 3 −0.425 087 0.042 754 25.806 3 0.440 100 0.063 470.50 1 3.969 14 −0.631 169 0.494 292 13.236 9 0.531 684 0.581 403 25.453 1 0.245 321 0.017 284 37.912 9 0.161 117 0.071 920.75 1 3.265 24 −0.901 244 0.430 702 25.346 8 0.188 845 0.662 843 50.371 8 0.093 173 0.003 414 75.469 0.061 981 0.074 800.90 1 2.981 41 −0.963 552 0.420 432 62.902 7 0.067 342 0.676 893 125.699 0.033 573 0.000 474 188.519 0.022 334 0.075 38corresponding to this system is M c ≡ (m 1 m 2 ) 3/5 (m 1 + m 2 ) −1/5 = 1.22M ⊙ , andν [5 cycles] = 1270 Hz. Repeating the analysis carried on in section 11.3 we finda formula for the minimum distance at which a measurement can be performedgiven a certain SNR, for a quantum limited detectorr(ω n0 ) =[5 × 21/3321G 5/3 Mc5/3 MvS2( BD + 2)(12 BD + 19) c 3¯hω 4/3n0 SNR H n] 1/2(11.112)