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The known verification binaries parameters were taken from LISA verification binary wiki that Gijs Nelemans maintains. The selected binaries were chosen strictly based on their computed SNRs; this was done using The LISA Calculator, and the results agree well with a study by Alexander Stoerr and Alberto Vecchio (astro-ph/0605227).
The inclination, polarization angle, and orbital phase have been randomly generated uniformly over the ranges: INC(0,180), PSI(0,360) and PHIo(0,360). These parameters are pure projection parameters related to the observer; there is no astrophysical history associated with their values, so a uniform distribution over the full range is suitable. For actual verification binaries (ones which have been electromagnetically observed prior to the LISA flight era), the values of these projection parameters may be subject to selection effects associated with the vagaries of electromagnetic detection.
The non-verification binaries in the list were drawn from a galactic population synthesis model by Matt Benacquista; his models are described in several papers (astro-ph/0308041; astro-ph/0504135). The particular galaxy realization used for this data comes from a set of galaxies Matt and I call the “BLT Galaxies” (Benacquista-Larson-Taylor), which are a set of galactic realizations with seven different sets of galactic shape parameters, three realizations each. The particular galaxy file used for these binaries is called bet_2.0_200_30MB.dat (filename included here for posterity, so we can dig it up if necessary), which contains a 30 million binary population synthesis galaxy.
The signals for these binaries will be generated using the built in binary signal generators from the simulators. As agreed, we will set all fdot terms == 0 (i.e., the sources for the challenges at this level are monochromatic).
| Name | fgw (Hz) | Porb (s) | d (pc) | m1 (Msun) | m2 (Msun) | inc (deg) | Psi (deg) | Orb Phase (deg) | eLAT (decimal deg) | eLONG (decimal deg) | SNR_LC (hb) | SNR_LC (trc) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| RX J0806.3+1527 | 0.0062203 | 321.52911 | 650.00000 | 0.60000000 | 0.13000000 | 3.3253794 | 19.751060 | 10.539110 | -4.7040351 | 120.44356 | 185.704 | 192.532 |
| V407 Vul | 0.0035125 | 569.39500 | 650.00000 | 0.60000000 | 0.068000000 | 67.792381 | 298.59715 | 344.82262 | 46.783096 | 294.99460 | 55.7161 | 62.0231 |
| ES Cet | 0.0032206 | 621.00000 | 675.00000 | 0.60000000 | 0.062000000 | 56.525574 | 309.29339 | 114.70628 | -20.333786 | 24.611608 | 44.5683 | 50.1926 |
| AM CVn | 0.0019441 | 1028.7300 | 606.00000 | 0.69000000 | 0.12000000 | 44.000000 | 345.84725 | 321.79970 | 37.442455 | 170.38586 | 40.0408 | 34.4758 |
| HP Lib | 0.0018132 | 1103.0000 | 197.00000 | 0.60000000 | 0.032000000 | 56.797703 | 28.045299 | 174.98414 | 4.9598223 | 235.08801 | 26.9485 | 21.5203 |
| blt01 | 0.012505 | 159.93430 | 3071.4819 | 0.58386290 | 0.54524022 | 115.71070 | 220.65300 | 47.405708 | -53.505402 | 155.03450 | 276.488 | 278.633 |
| blt02 | 0.010023 | 199.53300 | 8902.5879 | 0.86007297 | 0.66523433 | 110.73830 | 304.70801 | 279.82230 | 2.4233999 | 271.99911 | 144.422 | 146.213 |
| blt03 | 0.0090862 | 220.11380 | 4615.3071 | 0.50882173 | 0.59650922 | 88.068481 | 216.52290 | 35.562340 | 58.121960 | 15.628570 | 106.761 | 108.409 |
| blt04 | 0.0089797 | 222.72549 | 8086.5088 | 0.60169959 | 0.62989902 | 33.341702 | 45.840439 | 170.54131 | -18.139500 | 259.04330 | 191.536 | 194.573 |
| blt05 | 0.0090546 | 220.88290 | 8898.6201 | 0.36548781 | 0.27585381 | 106.37560 | 105.79690 | 289.48340 | -10.886400 | 263.68771 | 28.5138 | 28.9574 |
| blt06 | 0.0080729 | 247.74190 | 6175.7261 | 0.23775341 | 0.24138780 | 134.01210 | 127.75510 | 292.49551 | 18.014730 | 279.96390 | 41.9137 | 42.7604 |
| blt07 | 0.0080400 | 248.75771 | 6571.0591 | 0.44167730 | 0.27287069 | 73.703056 | 150.72610 | 164.23730 | -32.563900 | 250.77580 | 42.3550 | 43.2187 |
| blt08 | 0.0070017 | 285.64569 | 6847.4590 | 0.25783959 | 0.45708671 | 75.281548 | 138.41920 | 43.928440 | 20.383850 | 280.26251 | 35.8615 | 36.8667 |
| blt09 | 0.0069922 | 286.03271 | 8506.0244 | 0.48917919 | 0.52049237 | 140.60719 | 219.46170 | 84.027298 | -5.9775901 | 268.19910 | 103.889 | 106.810 |
| blt10 | 0.0060175 | 332.36121 | 8078.1138 | 0.34050119 | 0.73806739 | 87.614189 | 288.01389 | 290.78671 | -6.2158899 | 266.54568 | 42.7093 | 44.4026 |
| blt11 | 0.0050077 | 399.38821 | 7420.7461 | 0.30341631 | 0.34086320 | 125.51160 | 119.44460 | 37.971008 | 4.7876501 | 273.01920 | 35.1566 | 37.2465 |
| blt12 | 0.0039993 | 500.08969 | 9142.6387 | 0.60860550 | 0.68425101 | 105.06790 | 61.679138 | 290.26801 | 1.2160600 | 270.93210 | 49.0044 | 53.5260 |
| blt13 | 0.0030116 | 664.08820 | 3414.2910 | 0.91573822 | 0.24178730 | 135.78290 | 282.45279 | 300.41339 | 37.624119 | 294.19220 | 82.6983 | 93.8400 |
| blt14 | 0.0030090 | 664.66229 | 8422.5518 | 0.66399962 | 0.75203961 | 109.85820 | 301.11560 | 173.76810 | 3.7446401 | 271.57840 | 46.4591 | 52.7230 |
| blt15 | 0.0020059 | 997.06201 | 1749.5930 | 0.36735240 | 0.62621069 | 131.16499 | 172.55740 | 155.29330 | -54.494499 | 137.16660 | 72.9734 | 65.7543 |
| blt16 | 0.0011142 | 1794.9550 | 628.90698 | 0.58537507 | 0.56649703 | 18.767611 | 114.07410 | 41.001339 | -53.016499 | 139.87669 | 63.3959 | 52.3679 |
| blt17 | 0.00096326 | 2076.2920 | 307.23911 | 0.36935580 | 0.85769612 | 88.684532 | 50.004650 | 288.41110 | 13.157020 | 47.713581 | 28.8759 | 28.3418 |
| blt18 | 0.00087307 | 2290.7771 | 210.66991 | 0.64037782 | 0.54054070 | 127.34730 | 168.09630 | 241.90491 | -65.648903 | 113.34290 | 49.7710 | 55.7242 |
| blt19 | 0.00073283 | 2729.1350 | 129.50520 | 0.79646999 | 0.63874018 | 139.38800 | 309.25421 | 338.06189 | -62.902802 | 19.283001 | 65.1539 | 94.3639 |
| blt20 | 0.00066410 | 3011.5959 | 343.54050 | 0.50546569 | 0.55933648 | 78.820312 | 255.22580 | 254.33009 | 11.797790 | 272.15530 | 6.44777 | 9.28363 |
For the second set of binaries (discussed on the 5 June 2006 telecon) with lower SNR, all above f ~ 2mHz, I simply drew from the same BLT galaxy as the one noted above and selected 20 binaries. The SNR selection was a complete hack, simply taking the ratio of the estimate spectral amplitude of the source to the standard sky-averged sensitivity + HB background from the Online Sensitivity Curve Generator. Curiously, you’ll note the SNRs computed post-facto using The LISA Calculator are significantly higher than the range of 1 to 10 I used in my simple hack selection. I find this curious and possibly disturbing; I’m uncertain to the internal workings of the Calculator, but if you look at the last several binaries in this list, they appear to have extrememly similar masses and distances, yet wildly varying SNR outputs from the LISA Calculator. It is possible the projection parameters are affecting this, but I’m surprised to see such a variation. In any event, the actual computed SNRs may be higher than what we desire for this set. If so, another set can be generated in the same fashion, but cut a different way to achieve the desired effect.
| Name | fgw (Hz) | Porb (s) | d (pc) | m1 (Msun) | m2 (Msun) | inc (deg) | Psi (deg) | Orb Phase (deg) | eLAT (decimal deg) | eLONG (decimal deg) | SNR_LC (hb) | SNR_LC (trc) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| blt21 | 0.00200034003 | 999.830078 | 4379.26514 | 0.281488210 | 0.572539508 | 105.179901 | 198.084198 | 42.1909485 | -39.0444946 | 241.549698 | 13.581700 | 12.113500 |
| blt22 | 0.00226236391 | 884.030884 | 9774.38574 | 0.168278202 | 0.326246411 | 67.7141571 | 27.1482506 | 21.0681992 | -1.06356049 | 268.026398 | 3.9067290 | 4.3550081 |
| blt23 | 0.00258694100 | 773.113770 | 11565.2998 | 0.978329480 | 0.306085289 | 104.046204 | 17.0435600 | 216.854202 | -5.36946106 | 267.597504 | 14.127400 | 16.172600 |
| blt24 | 0.00301428302 | 663.507813 | 10531.0703 | 0.371981889 | 0.726640522 | 75.0283585 | 130.284607 | 8.93238258 | -25.8968964 | 254.595306 | 19.737900 | 22.395100 |
| blt25 | 0.00355945691 | 561.883423 | 8615.25684 | 0.489968210 | 0.168219596 | 31.1455097 | 130.301895 | 6.88191080 | -9.48007965 | 264.598206 | 22.750400 | 25.277800 |
| blt26 | 0.00407089200 | 491.292786 | 6348.92090 | 0.270690113 | 0.239881098 | 84.6925583 | 314.693909 | 270.696106 | -16.8162994 | 258.371185 | 13.442600 | 14.644700 |
| blt27 | 0.00453469623 | 441.043915 | 9036.56055 | 0.753285825 | 0.151257694 | 80.5217667 | 256.822998 | 102.084000 | -12.3929977 | 264.748413 | 15.375500 | 16.496800 |
| blt28 | 0.00505308388 | 395.797913 | 8536.83789 | 0.590443671 | 0.239634901 | 136.531097 | 330.946198 | 155.962708 | -3.57186127 | 265.936188 | 45.734700 | 48.401700 |
| blt29 | 0.00559335109 | 357.567413 | 11748.3896 | 0.172266901 | 0.177277505 | 94.6921005 | 101.239304 | 10.7271404 | -56.0713959 | 213.734299 | 4.6259750 | 4.8421130 |
| blt30 | 0.00605042279 | 330.555389 | 7450.27393 | 0.344717085 | 0.253368199 | 12.0946999 | 181.130493 | 199.107193 | -6.90573120 | 267.398102 | 55.077700 | 57.234600 |
| blt31 | 0.00655865017 | 304.940796 | 8843.80273 | 0.225240305 | 0.179079905 | 117.963203 | 175.283600 | 261.791809 | 4.69603729 | 276.080505 | 14.214300 | 14.677400 |
| blt32 | 0.00712045096 | 280.881104 | 8052.22314 | 0.222424507 | 0.219653100 | 50.2436485 | 193.395203 | 348.321411 | -21.1390991 | 257.195892 | 24.196700 | 24.849200 |
| blt33 | 0.00750447111 | 266.507812 | 10803.7998 | 0.622496128 | 0.384647399 | 122.300102 | 11.4336004 | 83.6384277 | -18.7481995 | 260.590912 | 59.295900 | 60.712600 |
| blt34 | 0.00811463967 | 246.468094 | 7192.10889 | 0.405040592 | 0.283389390 | 9.83220768 | 75.0478516 | 49.2748489 | 20.0506210 | 282.692902 | 84.912100 | 86.607300 |
| blt35 | 0.00856928062 | 233.391800 | 10129.4697 | 0.246079504 | 0.316410005 | 83.0328064 | 23.5748196 | 201.910995 | -10.5740967 | 262.001495 | 17.358200 | 17.664200 |
| blt36 | 0.00907218736 | 220.453995 | 11716.7803 | 0.262421101 | 0.408462614 | 30.0884705 | 345.878204 | 320.944702 | -5.95989227 | 265.785706 | 47.230700 | 47.962300 |
| blt37 | 0.00953980908 | 209.647797 | 10986.0996 | 0.276463509 | 0.272844613 | 45.0675087 | 227.407303 | 221.406296 | -7.81931305 | 264.620392 | 32.654000 | 33.106000 |
| blt38 | 0.00991888810 | 201.635498 | 8470.63867 | 0.423457712 | 0.315220207 | 52.6150284 | 15.7474804 | 44.5580292 | -5.53154755 | 266.922913 | 60.908600 | 61.681700 |
| blt39 | 0.0104130097 | 192.067505 | 8588.04785 | 0.444908708 | 0.295918792 | 99.4932632 | 173.918594 | 199.681702 | -6.02561188 | 267.698486 | 33.890300 | 34.276900 |
| blt40 | 0.0119432099 | 167.459106 | 14381.6504 | 0.437483996 | 0.386412799 | 133.302094 | 327.931000 | 224.167801 | 0.483650208 | 269.962189 | 51.195600 | 51.631900 |