COMMISSION 27 OF THE I. A. U. INFORMATION BULLETIN ON VARIABLE STARS NUMBER 793 Konkoly Observatory Budapest 1973 May 24 PROVISIONAL EPHEMERIDES OF 21 VARIABLE STARS IN A FIELD CENTERED AT alpha = 13h delta = - 70d The 21 variable stars discussed here were discovered in the blink microscope of the Astronomical Institute of Louvain on plates taken with the 10-inch Metcalf telescope of the Boyden Observatory at Bloemfontein. Figure 1 shows the environment of each variable and the comparison stars used. The latter have their magnitudes in Table 2. They are derived from star-counts made on a 1/4 sq.deg. around each variable, and compared with the tables in Groningen Publication no. 43. The main data on the variables are given in Table 1. The periods have been derived by least squares. Phases have been computed with the formula: phase = P^-1(J.D.Hel. - 2436000). The mean errors in the sixth column correspond to the last two decimals of the periods. The epoch given in column 7 corresponds to the mean J.D. of the plates used. The mean error of a single estimate (last column) has been computed by first taking the difference in magnitude between every two estimates following each other in phase and then using the formula: m.e. = +-(Summa(Delta m)^2/2n)^1/2 where n means the number of estimates used. Table 3 shows the epochs used and the run of the (O-C) comparison for the finally adopted elements. The estimates have been arranged according to phases and divided into groups for which mean values are given in Table 4. The normal points of the light-curves are moreover represented graphically in the diagrams 1 to 21. Remarks about individual variables * 7 - The minima are sharper than the maxima and the period was determined by the aid of the 21 epochs of minimum given in table 3. . *13 - This star is very probably identical with ST Muscae. The variability of the star was discovered by Bailey (H.B. no. 792, 1923). A period was derived from the present observations. *15 = DN Muscae *16 = AG Muscae *18 = AM Muscae *19 = AT Muscae *20 = AV Muscae The periods of these 5 known variables have here been determined for the first time. [FIGURE 0] [FIGURE 1] [FIGURE 2] [FIGURE 3] [FIGURE 4] [FIGURE 5] [FIGURE 6] [FIGURE 7] [FIGURE 8] [FIGURE 9] [FIGURE 10] [FIGURE 11] [FIGURE 12] [FIGURE 13] [FIGURE 14] [FIGURE 15] [FIGURE 16] [FIGURE 17] [FIGURE 18] [FIGURE 19] [FIGURE 20] [FIGURE 21] R. DEURINCK and B. VISSENBERG ASTRONOMISCH INSTITUUT KATHOLIEKE UNIVERSITEIT LEUVEN Naamsestraat 61 B 3000 LEUVEN (Belgium) TABLE 1 ---------------------------------------------------------------------------------------------------------------------- R.A.(1875) Dec.(1875) Type Period m.e. Epoch J.D. m.e.of phase n of Brightness n of m.e. of 2438000+ single of epoch max. min. estim. single epoch epoch estimate ---------------------------------------------------------------------------------------------------------------------- 1 12h19m51.9s - 69d46.7' EA 2.1593303d+- 62 527.896 +-.009d .685p 10 12.70m 14.10m 468+-0.12m 2 12 26 08.9 - 73 14.4 RR 0.4868672 23 529.131 .016 .703 23 13.40 14.55 380 0.11 3 12 28 20.0 - 72 11.5 RR 0.4672966 15 536.202 .024 .392 48 11.95 12.83 476 0.13 4 12 31 39.5 - 66 24.4 EA 14.91516 94 536.620 .277 .003 15 12.92 14.23 488 0.13 5 12 32 28.5 - 73 26.5 EA 7.01634 92 532.108 .551 .887 18 13.13 13.60 462 0.09 6 12 35 30.9 - 66 01.1 EA 2.90289 20 533.671 .280 .081 13 14.72 15.21 483 0.12 7 12 35 43.5 - 68 22.2 Cep 21.3395 97 521.422 2.225 .157 21 12.60 14.40 480 0.25 8 12 44 22.1 - 67 06.4 EA 4.59701 15 535.440 .078 .541 11 14.60 15.70 475 0.05 9 12 44 56.7 - 70 32.4 RR 0.3682337 11 536.155 .015 .351 32 13.55 14.80 460 0.13 10 12 47 18.3 - 67 45.0 RR 0.4250001 11 536.241 .013 .625 37 13.90 15.20 480 0.15 11 12 48 29.8 - 74 13.9 RR 0.2296741 08 536.277 .020 .938 42 12.07 12.84 482 0.17 12 12 59 16.3 - 70 31.7 RR 0.3121445 23 529.306 .021 .999 20 13.30 14.40 400 0.14 13 13 00 02.2 - 70 35.5 RR 0.4633682 13 536.278 .015 .569 21 14.30 15.40 465 0.17 14 13 05 54.2 - 65 12.5 EA 0.7560984 42 529.231 .022 .109 16 12.85 13.40 477 0.05 15 13 13 48.0 - 73 54.0 EA 3.636551 72 528.985 .058 .435 9 13.35 14.40 470 0.09 16 13 25 48.5 - 66 40.4 EA 3.168478 31 527.719 .028 .770 9 13.10 15.15 480 0.06 17 13 28 22.5 - 70 16.8 EA 2.184923 24 527.489 .038 .787 11 13.60 14.80 460 0.15 18 13 31 12.7 - 69 06.2 EA 4.54675 13 528.298 .115 .067 18 13.25 15.40 470 0.11 19 13 36 58.3 - 67 14.2 EA 4.67432 13 534.309 .127 .177 14 12.79 14.20 473 0.08 20 13 37 31.4 - 70 00.3 RR 0.6846412 58 529.229 .017 .239 16 14.10 15.30 297 0.17 21 13 38 01.1 - 67 37.5 Cep 4.52478 37 533.218 .247 .854 25 13.25 15.15 440 0.18 ---------------------------------------------------------------------------------------------------------------------- Table 2 --------------------------------------------------------------- Var 1 Var 2 Var 3 Var 4 c.s. mag. c.s. mag. c.s. mag. c.s. mag. --------------------------------------------------------------- a 12.00 a 12.70 a 11.98 a 12.50 b 12.71 b 13.60 b 12.11 b 12.89 c 13.25 c 14.00 c 12.25 c 13.24 d 13.86 d 14.50 d 12.41 d 13.51 e 14.19 e 14.80 e 12.53 e 14.11 f 12.87 g 13.27 --------------------------------------------------------------- Var 5 Var 6 Var 7 Var 8 a 12.89 a 14.44 a 12.47 a 14.46 b 13.33 b 14.66 b 12.78 b 14.80 c 13.43 c 14.88 c 12.92 c 15.07 d 13.65 d 15.10 d 13.07 d 15.32 e 15.56 e 13.52 e 15.57 f 14.02 f 15.75 g 14.20 --------------------------------------------------------------- Jar 9 Var 10 Var 11 Var 12 a 13.55 a 13.45 a 11.72 a 12.5 b 13.86 b 14.09 b 12.15 b 13.4 c 14.39 c 14.50 c 12.70 c 13.7 d 14.76 d 15.10 d 12.89 d 14.1 e 15.25 e 13.08 e 14.4 f 14.9 TABLE 2 (continued) --------------------------------------------------------------- Var 13 Var 14 Var 15 Var 16 a 13.58 a 12.61 a 13.21 a 13.02 b 14.46 b 12.82 b 13.60 b 13.35 c 14.88 c 13.05 c 13.86 c 14.47 d 15.44 d 13.91 d 14.32 d 15.13 e 15.66 e 14.53 --------------------------------------------------------------- Var 17 var 18 Var 19 Var 20 a 13.50 a 13.07 a 12.68 a 14.06 b 13.73 b 13.37 b 13.05 b 14.60 c 14.12 c 13.61 c 13.18 c 14.85 d 14.44 d 14.16 d 13.32 d 15.45 e 14.95 e 14.63 e 13.53 f 15.16 f 13.93 g 14.32 --------------------------------------------------------------- Var 21 a 12.82 b 13.38 c 13.82 d 14.48 e 15.38 --------------------------------------------------------------- TABLE 3 --------------------------- ---------------------------- Var 1 Var 3 J.D. min E O-C J.D. max E O-C -2437000d -2437000 --------------------------- ---------------------------- 735.430d 0 +0.0077d 164.212 0 -0.007 761.334 12 -0.0001 368.405 437 -0.023 787.234 24 -0.0118 397.398 499 -0.002 1234.234 231 +0.0068 404.381 514 -0.029 2594.615 861 +0.0091 422.210 552 +0.043 2618.346 872 -0.0119 456.262 625 -0.018 2644.271 884 +0.0003 464.227 642 +0.003 2970.329 1035 +0.0002 486.214 689 +0.027 3050.214 1072 -0.0106 492.269 702 +0.007 3350.381 1211 +0.0099 493.222 704 +0.026 --------------------------- 499.259 717 -0.012 782.427 1323 -0.026 Var 2 784.317 1327 -0.005 785.274 1329 +0.018 J.D. max E O-C 790.379 1340 -0.017 -2437000 792.258 1344 -0.008 --------------------------- 820.280 1404 -0.024 407.382 0 -0.0062 1178.314 2170 +0.061 409.336 4 -0.0002 1199.266 2215 -0.015 429.284 45 -0.0140 1206.258 2230 -0.032 432.227 51 +0.0084 1222.222 2264 +0.044 465.317 119 -0.0093 1228.236 2277 -0.018 466.294 121 -0.0059 1439.474 2729 +0.002 467.280 123 +0.0069 1440.456 2731 +0.050 468.255 125 +0.0079 1461.424 2776 -0.011 487.231 164 -0.0038 1475.450 2806 -0.004 700.485 602 +0.0026 1557.204 2981 -0.027 755.494 715 -0.0049 1884.338 3681 +0.000 758.413 721 -0.0069 1906.290 3728 -0.011 759.398 723 +0.0048 1914.262 3745 +0.017 760.384 725 +0.0162 1942.261 3805 -0.022 761.334 727 -0.0068 2233.422 4428 +0.013 781.320 768 +0.0177 2293.233 4556 +0.010 1146.435 1518 -0.0185 2593.249 5198 +0.022 1229.204 1688 -0.0169 2594.615 5201 -0.014 1520.374 2286 +0.0068 2612.359 5239 -0.028 1915.267 3097 +0.0506 2643.277 5305 +0.050 2267.221 3820 -0.0004 2923.605 5905 -0.001 2613.359 4531 -0.0252 2970.329 6005 -0.006 2614.354 4533 -0.0037 2975.451 6016 -0.025 2977.341 6020 -0.004 3006.306 6082 -0.011 3050.224 6176 -0.019 3326.424 6767 +0.009 3334.375 6784 +0.015 3385.305 6893 +0.010 3742.276 7657 -0.033 3743.266 7659 +0.022 --------------------------- ---------------------------- TABLE 3 (continued) ---------------------------- ----------------------------- Var 4 Var 6 J.D. min E O-C J.D. min E O-C -2437000 -2437000 ---------------------------- ----------------------------- 432.228 0 +0.330 143.296 0 +0.110 700.496 18 +0.125 146.211 1 +0.122 760.331 22 +0.300 404.381 90 -0.065 1192.237 51 -0.334 465.338 111 -0.069 1222.245 53 -0.157 468.231 112 -0.079 1461.413 69 +0.369 497.232 122 -0.107 1475.471 70 -0.488 755.451 211 -0.245 1520.355 73 -0.350 787.352 222 -0.276 2594.470 145 -0.127 1473.451 458 +0.741 3027.239 174 +0.102 2593.373 844 +0.147 3295.414 192 -0.196 2622.337 854 +0.082 3325.420 194 -0.020 2912.482 954 -0.062 3355.311 196 +0.040 3295.424 1086 -0.301 3385.305 198 +0.204 ----------------------------- 3743.266 222 +0.201 ---------------------------- Var 7 Var 5 J.D. min E O-C -243700'0 J.D. min E O-C -2437000 36.0 0 -1.086 411.0 2 -0.765 143.318 0 +0.447 433.0 3 -0.105 409.293 38 -0.199 456.0 4 +1.556 430.263 41 -0.278 498.0 6 +0.877 437.269 42 -0.288 693.0 15 +3.821 465.252 46 -0.371 755.0 18 +1.802 486.278 49 -0.394 794.0 20 -1.877 493.265 50 -0.423 1178.0 38 -1.989 1146.370 143 +0.161 1202.0 39 +0.672 1167.315 146 +0.057 1475.0 52 -3.743 1196.259 150 +0.936 1519.0 54 -2.422 1230.242 155 -0.163 1905.0 72 -0.534 1441.448 185 +0.553 2267.0 89 -1.306 1883.344 248 +0.419 2293.0 90 +3.354 2254.255 301 -0.537 2611.0 105 +1.261 2613.359 352 +0.733 2912.0 119 +3.507 2620.383 353 +0.741 2970.0 122 -2.512 3033.249 412 -0.358 3295.0 137 +2.395 3355.322 458 -1.037 3334.0 139 -1.284 3355.0 140 -1.623 ---------------------------- ----------------------------- TABLE 3 (continued) --------------------------- ------------------------- Var 8 Var 10 J.D. min E O-C J.D. max E O-C -2437000 -2437000 409.2701 0 +0.097 145.212 0 -0.0039 432.2062 5 +0.048 162.239 40 +0.0231 464.3227 12 -0.014 411.278 626 +0.0120 487.2847 17 -0.037 437.205 687 +0.0140 735.4407 71 -0.120 439.316 692 0.0 758.4773 76 -0.068 465.238 753 -0.0030 795.3127 84 -0.009 467.355 758 -0.0110 1172.3138 166 +0.037 468.210 760 -0.0060 1195.2547 171 -0.007 488.208 807 +0.0170 1880.3460 320 +0.130 493.287 819 -0.0040 2914.4850 545 -0.058 496.252 826 -0.0140 --------------------------- 499.237 833 -0.0040 755.494 1436 -0.0221 Var 9 758.477 1443 -0.0141 759.333 1445 -0.0081 J.D. max E O-C 782.298 1499 +0.0069 -2437000 785.253 1506 -0.0131 790.368 1518 +0.0019 144.233 0 +0.0017 793.345 1525 +0.0039 294.505 408 +0.0344 1167.336 2405 -0.0052 409.368 720 +0.0084 1196.259 2473 +0.0177 425.223 763 +0.0294 1205.192 2494 +0.0257 432.206 782 +0.0159 1230.241 2553 -0.0003 464.219 869 -0.0074 1233.210 2560 -0.0063 465.348 872 +0.0169 1441.448 3050 -0.0183 468.266 880 -0.0110 1461.435 3097 -0.0063 492.204 945 -0.0082 1467.390 3111 -0.0013 496.252 956 -0.0107 1475.450 3130 -0.0163 499.237 964 +0.0284 1521.368 3238 +0.0016 755.494 1660 -0.0053 1530.325 3259 +0.0336 758.434 1668 -0.0111 1881.343 4085 +0.0015 761.377 1676 -0.0140 1901.309 4132 -0.0075 764.340 1684 +0.0031 1904.294 4139 +0.0025 781.256 1730 -0.0196 2267.242 4993 +0.0004 782.373 1733 -0.0073 2594.487 5763 -0.0047 785.317 1741 -0.0092 3052.228 6840 +0.0112 792.322 1760 -0.0006 3386.262 7626 -0.0050 795.259 1768 -0.0095 812.208 1814 +0.0007 844.221 1901 -0.0226 1196.274 2857 -0.0010 1461.413 3577 +0.0097 1468.388 3596 -0.0117 1472.427 3607 -0.0233 1493.436 3664 -0.0036 1524.374 3748 +0.0021 2594.456 6654 -0.0025 2914.463 7523 +0.0094 3325.408 8639 +0.0056 3383.226 8796 +0.0109 ---------------------------- -------------------------- TABLE 3 (continued) --------------------------- ------------------------------ Var 11 Var 12 J.D. min E O-C J.D. max E O-C -2437000 -2437000 --------------------------- ------------------------------ 143.297 0 -0.0063 379.363 0 -0.0028 144.233 4 +0.0110 403.377 77 -0.0243 164.233 91 +0.0293 404.338 80 -0.0002 169.236 113 -0.0205 408.406 93 +0.0107 368.382 980 -0.0019 409.314 96 -0.0176 403.312 1132 +0.0176 429.284 160 -0.0256 408.342 1154 -0.0052 430.220 163 -0.0258 409.270 1158 +0.0041 439.294 192 -0.0035 432.206 1258 -0.0273 464.280 272 +0.0104 437.291 1280 +0.0049 468.362 285 +0.0349 439.316 1289 -0.0372 494.263 368 +0.0275 465.295 1402 -0.0114 782.330 1291 -0.0143 468.276 1415 -0.0161 787.342 1307 +0.0028 483.220 1480 -0.0009 793.255 1326 -0.0147 488.294 1502 +0.0202 1145.402 2454 +0.0332 494.252 1528 +0.0067 1196.270 2617 +0.0213 756.313 2669 +0.0096 1473.428 3505 -0.0043 758.392 2678 +0.0215 1493.415 3569 +0.0055 759.311 2682 +0.0218 2230.399 5930 +0.0166 761.356 2691 -0.0002 2594.313 7096 -0.0307 782.277 2782 +0.0204 ------------------------------ 784.306 2791 -0.0177 785.274 2795 +0.0316 Var 13 787.267 2804 -0.0424 792.333 2826 -0.0293 J.D. max E O-C 1168.332 4463 -0.0067 -2437000 1171.337 4476 +0.0125 1197.280 4589 +0.0024 145.234 0 -0.0126 1518.330 5987 -0.0320 164.233 41 -0.0116 1519.295 5991 +0.0143 397.345 544 +0.0258 1943.247 7837 -0.0120 403.333 557 -0.0094 2232.415 9096 -0.0037 409.357 570 -0.0092 2254.255 9191 +0.0173 468.210 697 -0.0044 2259.326 9213 +0.0354 493.244 751 +0.0077 2594.601 10673 -0.0137 755.494 1317 -0.0089 2611.361 10746 -0.0199 764.329 1336 +0.0224 2634.375 10759 +0.0084 782.384 1375 +0.0061 2626.328 10811 +0.0183 1168.353 2208 -0.0104 2915.491 12070 +0.0216 1195.254 2266 +0.0152 2975.429 12331 +0.0147 1915.309 3820 -0.0046 3742.287 15670 -0.0091 2230.378 4500 -0.0252 3745.250 15683 -0.0317 2594.628 5286 +0.0173 2912.504 5972 +0.0229 2923.605 5996 +0.0022 2977.341 6112 -0.0119 3324.405 6861 -0.0108 3350.381 6917 +0.0166 3357.297 6932 -0.0181 --------------------------- ------------------------------ TABLE 3 (continued) ---------------------------- -------------------------- Var 14 Var 17 J.D. min E O-C J.D.min E O-C -2437000 -2437000 ---------------------------- -------------------------- 143.3078 0 +0.0047 437.2372 0 +0.0243 162.2280 25 +0.0224 496.2307 27 +0.0249 294.5160 200 -0.0068 758.4023 147 +0.0058 397.3769 336 +0.0247 782.4055 158 -0.0252 400.3649 340 -0.0117 793.3500 163 -0.0053 700.5174 737 -0.0302 1171.3478 336 +0.0008 1219.2141 1423 -0.0170 1206.2583 352 -0.0474 1222.2446 1427 -0.0109 1914.2622 676 +0.0416 1557.2035 1870 -0.0036 2613.3489 996 -0.0471 1885.3415 2304 -0.0122 3334.3853 1326 -0.0351 1904.2937 2329 +0.0375 3391.2914 1352 +0.0630 2232.4152 2763 +0.0123 -------------------------- 2594.5553 3242 -0.0187 Var 18 2626.3281 3284 -0.0020 2923.5131 3677 +0.0363 J.D. min E O-C 2970.3293 3739 -0.0256 -2437000 ---------------------------- Var 15 164.2116 0 -0.0606 464.2881 66 -0.0698 J.D. min E O-C 487.2204 71 +0.1288 -2437000 496.2200 73 +0.0349 755.4508 130 +0.1007 456.2402 0 +0.0379 764.3933 132 -0.0503 496.2414 11 +0.0370 782.4270 136 -0.2036 1205.2136 206 -0.1183 787.2237 137 +0.0464 1474.4269 280 -0.0098 1146.3809 216 +0.0101 1885.3415 393 -0.0255 1196.2697 227 -0.1154 2267.2547 498 +0.0498 1219.2141 232 +0.0953 2594.5498 588 +0.0552 1228.2244 234 +0.0120 3027.2392 707 -0.0050 1519.2954 298 +0.0909 3325.4196 789 -0.0218 1887.3381 379 -0.1534 ---------------------------- 1901.3089 382 +0.1771 3033.2378 631 -0.0354 Var 16 3324.4051 695 +0.1397 3383.2256 708 -0.1476 J.D. min E O-C -------------------------- -2437000 Var 19 146.2219 0 -0.0401 J.D. min E O-C 409.2815 83 +0.0358 -2437000 466.2822 101 +0.0039 1502.4014 428 +0.0307 146.211 0 +0.175 1521.3679 434 -0.0136 169.215 5 -0.193 1914.2622 558 -0.0107 403.269 55 +0.145 2595.4649 773 -0.0308 487.274 73 +0.012 2611.3613 778 +0.0232 758.434 131 +0.062 2915.5130 874 +0.0010 1146.370 214 +0.029 1202.279 226 -0.154 1473.428 284 -0.115 1501.404 290 -0.185 1880.346 371 +0.137 2595.465 524 +0.085 ---------------------------- ------------------------- TABLE 3 (continued) ------------------------- ------------------------ Var 19(cont.) Var 21(cont.) J.D. min E O-C J.D. max E O-C -2437000 -2437000 ------------------------- ------------------------ 3357.297 687 +0.003 1171.347 227 +0.1117 3385.305 693 -0.035 1234.234 241 -0.3483 3745.297 770 +0.034 1474.450 294 +0.0542 ------------------------- 1501.404 300 -0.1405 1519.295 304 -0.3486 Var 20 3031.217 638 +0.2959 J.D. max E O-C -2437000 400.2672 0 +0.0119 404.3590 6 -0.0041 437.2050 54 -0.0209 439.2944 57 +0.0146 465.2842 95 -0.0120 467.3338 98 -0.0163 487.2203 127 +0.0156 756.3130 520 +0.0443 760.3620 526 -0.0145 782.2875 558 +0.0024 784.3384 561 -0.0006 793.2336 574 -0.0057 795.2913 577 -0.0019 1461.4347 1550 -0.0144 1474.4498 1569 -0.0075 2267.2802 2727 +0.0084 -------------------------- Var 21 J.D. max E O-C -2437000 144.233 0 +0.1234 162.227 4 +0.0182 379.352 52 -0.0463 397.377 56 -0.1205 411.278 59 +0.2062 425.223 62 +0.5768 429.284 63 +0.1131 438.265 65 +0.0445 456.217 69 -0.1026 465.202 71 -0.1672 483.241 75 -0.2273 488.207 76 +0.2139 492.215 77 -0.3029 497.232 78 +0.1893 700.480 123 -0.1779 759.333 136 -0.1471 764.317 137 +0.3121 782.351 141 +0.2470 795.300 144 -0.3783 ----------------------------- TABLE 4 ------------------------------------------------------------------ -------------------- -------------------- -------------------- 1 2 3 n phase bright- n phase bright- n phase bright- ness ness ness -------------------- -------------------- -------------------- 10 .006p 12.79m 10 .015 14.28 10 .009 12.72 10 .024 12.76 10 .055 14.35 10 .031 12.74 10 .044 12.75 10 .085 14.50 10 .047 12.80 10 .060 12.81 10 .117 14.44 10 .065 12.78 10 .072 12.80 10 .140 14.50 10 .088 12.73 10 .086 12.74 10 .158 14.44 10 .103 12.76 10 .108 12.78 10 .187 14.43 10 .124 12.69 10 .127 12.78 10 .217 14.54 10 .142 12.72 10 .143 12.76 10 .248 14.52 10 .158 12.71 10 .186 12.81 10 .274 14.52 10 .183 12.76 10 .220 12.82 10 .297 14.51 10 .197 12.71 10 .236 12.76 10 .334 14.53 10 .217 12.75 10 .251 12.74 10 .365 14.47 10 .240 12.82 10 .271 12.78 10 .395 14.53 10 .258 12.71 10 .290 12.79 10 .424 14.48 5 .278 12.51 10 .306 12.78 10 .459 14.54 5 .289 12.28 10 .327 12.82 10 .503 14.51 5 .301 12.27 10 .353 12.79 10 .550 14.52 5 .314 12.20 10 .367 12.80 10 .574 14.30 5 .325 12.02 10 .379 12.84 10 .599 14.32 5 .333 12.00 10 .397 12.88 5 .609 14.05 5 .337 11.97 10 .419 12.78 5 .623 13.94 5 .345 11.95 10 .452 12.87 5 .636 13.91 5 .354 12.00 10 .473 12.85 5 .643 14.01 5 .366 11.95 10 .492 12.84 5 .648 13.71 5 .386 11.96 10 .507 12.78 5 .658 13.52 5 .391 11.96 10 .525 12.88 5 .666 13.52 10 .407 11.98 10 .549 12.86 5 .672 13.48 10 .431 12.01 10 .570 12.79 5 .683 13.42 10 .452 12.07 10 .592 12.79 5 .691 13.55 10 .478 12.09 10 .611 12.78 5 .698 13.48 10 .500 12.12 10 .633 12.84 5 .705 13.61 10 .520 12.18 5 .652 12.92 5 .713 13.48 10 .541 12.17 5 .664 13.44 5 .722 13.42 10 .570 12.25 5 .677 14.02 5 .735 13.56 10 .597 12.24 5 .684 14.12 5 .741 13.62 10 .615 12.36 5 .696 14.01 5 .748 13.64 10 .633 12.35 5 .705 13.52 5 .758 13.53 10 .651 12.42 10 .726 13.02 5 .763 13.64 10 .671 12.50 10 .756 12.81 5 .776 13.65 10 .693 12.43 10 .782 12.78 5 .788 13.82 10 .714 12.57 10 .807 12.75 5 .796 13.95 10 .733 12.57 10 .837 12.76 5 .802 13.74 10 .754 12.64 10 .887 12.88 5 .807 13.64 10 .779 12.62 10 .904 12.79 10 .823 13.86 10 .799 12.58 10 .917 12.76 10 .848 13.94 10 .819 12.69 10 .936 12.76 10 .877 13.94 10 .842 12.67 10 .959 12.79 10 .899 14.01 10 .862 12.83 10 .979 12.82 10 .931 14.05 10 .888 12.72 8 .995 12.82 10 .972 14.21 10 .913 12.79 -------------------- -------------------- --------------------- TABLE 4 (continued) -------------------- -------------------- --------------------- 3(contin.) 10 .815 13.10 5 .844 13.60 10 .835 13.06 5 .849 13.60 n phase bright- 10 .856 13.07 5 .859 13.59 ness 10 .885 12.99 5 .866 13.59 10 .896 13.09 5 .872 13.58 10 .933 12.82 10 .911 13.04 5 .888 13.56 10 .956 12.80 10 .928 13.05 10 .909 13.25 10 .976 12.76 5 .959 13.10 10 .937 13.22 6 .993 12.78 5 .966 13.21 10 .968 13.20 ------------------ 5 .979 14.07 10 .982 13.16 5 .989 14.23 7 .995 13.21 4 8 .995 14.23 --------------------- --------------------- 6 n phase bright- 5 ness n phase bright- n phase bright- ness 10 .005 14.23 ness 10 .021 14.23 10 .011 14.74 5 .028 14.10 10 .013 13.21 10 .033 14.76 5 .034 13.50 10 .027 13.18 10 .053 14.75 5 .046 13.06 10 .040 13.22 10 .066 14.78 5 .051 13.12 10 .083 13.19 10 .090 14.75 10 .058 13.01 10 .113 13.17 10 .110 14.74 10 .080 12.94 10 .125 13.15 10 .136 14.72 10 .104 13.10 10 .134 13.17 10 .171 14.75 10 .143 13.01 10 .151 13.15 10 .217 14.75 10 .166 13.07 10 .178 13.15 10 .257 14.76 10 .179 13.06 10 .212 13.15 10 .284 14.74 10 .196 13.00 10 .249 13.17 10 .316 14.75 10 .236 13.12 10 .269 13.17 10 .348 14.75 10 .248 13.04 10 .287 13.15 10 .370 14.78 10 .275 12.95 10 .301 13.18 10 .382 14.76 10 .307 13.09 10 .317 13.20 10 .390 14.76 10 .316 13.08 10 .338 13.15 10 .396 14.75 10 .338 12.92 10 .364 13.16 10 .402 14.75 10 .360 13.13 10 .383 13.16 10 .408 14.74 10 .369 13.10 10 .400 13.15 10 .418 14.77 10 .380 13.01 10 .431 13.15 10 .430 14.74 10 .400 12.92 10 .447 13.17 10 .442 14.75 10 .428 13.07 10 .462 13.13 10 .461 14.74 10 .438 13.06 10 .495 13.20 10 .476 14.76 10 .448 12.96 10 .533 13.19 10 .495 14.74 10 .464 13.04 10 .561 13.16 10 .522 14.76 10 .493 13.07 10 .581 13.17 10 .578 14.77 10 .501 13.08 10 .595 13.15 10 .611 14.76 10 .519 13.00 10 .621 13.14 10 .643 14.76 10 .545 12.99 10 .649 13.18 10 .661 14.76 10 .572 13.06 10 .671 13.17 10 .675 14.75 10 .611 13.02 10 .687 13.19 10 .693 14.79 10 .635 13.05 10 .706 13.15 10 .706 14.97 10 .648 13.12 10 .725 13.15 10 .730 14.99 10 .664 12.98 10 .740 13.20 10 .744 14.94 10 .692 12.99 10 .764 13.15 10 .754 15.00 10 .703 13.11 10 .803 13.24 10 .766 15.04 10 .727 12.98 5 .812 13.32 10 .777 15.15 10 .761 13.06 10 .826 13.61 10 .786 15.19 10 .785 13.08 10 .838 13.57 10 .797 15.21 --------------------- --------------------- --------------------- TABLE 4 (continued) --------------------- -------------------- --------------------- 6(contin.) 10 .691 12.79 10 .647 14.59 10 .707 12.84 10 .666 14.62 n phase bright- 10 .725 12.83 10 .689 14.61 ness 10 .742 12.86 10 .702 14.60 10 .752 12.84 10 .709 14.60 10 .814 15.20 10 .759 12.86 10 .719 14.60 10 .824 15.19 10 .778 12.85 10 .733 14.61 5 .837 15.18 10 .800 12.89 10 .742 14.60 5 .854 15.17 10 .815 12.92 10 .758 14.62 5 .876 14.92 10 .845 13.11 10 .783 14.61 5 .913 14.81 10 .879 13.20 10 .793 14.62 10 .929 14.75 10 .912 13.48 10 .849 14.61 10 .951 14.76 10 .926 13.52 10 .871 14.60 10 .968 14.74 10 .947 13.64 10 .891 14.58 10 .988 14.75 10 .973 13.63 10 .912 14.57 3 .999 14.74 10 .990 13.83 10 .924 14.59 --------------------- ------------------ 10 .940 14.58 7 8 10 .954 14.63 10 .974 14.62 n phase bright- n phase bright --------------------- ness ness 9 10 .009 14.11 10 .023 14.61 n phase bright- 10 .030 14.12 10 .047 14.64 ness 10 .043 14.10 10 .064 14.63 10 .069 14.18 10 .098 14.63 10 .006 14.70 10 .108 14.27 10 .123 14.61 10 .034 14.72 10 .118 14.29 10 .139 14.59 10 .060 14.69 10 .123 14.24 10 .151 14.60 10 .075 14.75 10 .152 14.20 10 .164 14.63 10 .095 14.74 10 .216 14.29 10 .183 14.61 10 .120 14.73 10 .263 14.29 10 .217 14.60 10 .140 14.77 10 .299 14.00 10 .252 14.62 10 .160 14.75 10 .324 14.06 10 .265 14.61 10 .178 14.76 10 .342 14.04 10 .300 14.63 10 .198 14.77 10 .358 13.45 10 .340 14.62 10 .217 14.73 10 .385 13.35 10 .360 14.62 10 .238 14.54 10 .408 13.21 10 .376 14.60 10 .259 14.25 10 .433 12.99 10 .396 14.62 10 .278 13.90 10 .444 12.95 10 .410 14.61 10 .300 13.61 10 .450 13.03 10 .440 14.61 10 .323 13.55 10 .469 12.87 10 .481 14.62 10 .354 13.59 10 .482 13.02 10 .493 14.62 10 .376 13.61 10 .495 12.85 5 .502 14.64 10 .395 13.68 10 .510 12.82 5 .508 15.04 10 .420 13.74 10 .525 12.83 5 .514 15.23 10 .438 13.76 10 .544 12.79 5 .518 15.42 10 .454 13.90 10 .573 12.69 5 .524 15.56 10 .477 13.97 10 .609 12.71 5 .530 15.64 10 .500 13.98 10 .618 12.73 5 .540 15.62 10 .519 14.13 10 .627 12.66 5 .556 15.50 10 .539 14.15 10 .652 12.80 5 .568 15.12 10 .562 14.26 10 .663 12.72 10 .592 14.63 10 .582 14.28 10 .672 12.80 10 .616 14.63 10 .603 14.39 --------------------- -------------------- --------------------- TABLE 4 (continued) -------------------- -------------------- -------------------- 9(contin.) 10 .575 14.11 10 .561 12.54 10 .596 14.02 10 .578 12.63 n phase bright- 10 .612 13.94 10 .594 12.55 ness 10 .625 13.96 10 .617 12.57 10 .648 14.05 10 .639 12.42 10 .623 14.45 10 .666 14.09 10 .658 12.38 10 .636 14.50 10 .687 14.25 10 .673 12.44 10 .653 14.42 10 .709 14.20 10 .692 12.28 10 .678 14.51 10 .739 14.25 10 .716 12.24 10 .698 14.55 10 .760 14.37 10 .741 12.34 10 .714 14.60 10 .782 14.38 10 .759 12.28 10 .740 14.61 10 .804 14.38 10 .772 12.20 10 .768 14.61 10 .830 14.48 10 .798 12.25 10 .791 14.66 10 .854 14.49 10 .820 12.16 10 .817 14.61 10 .869 14.52 10 .843 12.21 10 .838 14.66 10 .876 14.56 10 .860 12.16 10 .871 14.68 10 .910 14.61 10 .891 12.21 10 .892 14.69 10 .932 14.57 10 .915 12.07 10 .916 14.70 10 .947 14.66 10 .936 12.17 10 .940 14.66 10 .966 14.62 10 .952 12.21 10 .955 14.64 10 .986 14.72 10 .971 12.13 10 .986 14.72 10 .997 14.85 10 .989 12.29 -------------------- -------------------- 2 .999 12.29 10 11 -------------------- 12 n phase bright- n phase bright- ness ness n phase bright- ness 10 .006 14.90 10 .006 12.20 10 .019 14.86 10 .023 12.11 5 .018 13.6 10 .042 14.81 10 .035 12.29 5 .034 13.3 10 .061 14.89 10 .053 12.19 5 .051 13.4 10 .079 14.88 10 .073 12.23 5 .066 13.5 10 .102 14.96 10 .098 12.30 5 .087 13.8 10 .131 14.84 10 .120 12.39 5 .098 13.4 10 .150 15.01 10 .137 12.44 5 .114 13.4 10 .181 14.97 10 .155 12.40 5 .139 13.6 10 .206 14.93 10 .184 12.48 10 .159 13.7 10 .233 14.99 10 .205 12.50 10 .184 13.7 10 .259 15.02 10 .228 12.55 10 .203 14.0 10 .281 15.00 10 .243 12.58 10 .224 13.8 10 .301 15.00 10 .263 12.68 10 .243 14.0 10 .327 14.94 10 .288 12.73 10 .264 14.0 10 .346 14.94 10 .305 12.78 10 .295 13.9 10 .367 14.99 10 .326 12.78 10 .322 13.9 10 .379 15.07 10 .346 12.75 10 .357 14.1 10 .412 15.14 10 .367 12.81 10 .384 14.1 10 .432 15.01 10 .391 12.83 10 .410 14.1 10 .454 15.03 10 .411 12.84 10 .450 14.2 10 .477 15.09 10 .437 12.77 10 .477 14.3 10 .494 14.93 10 .465 12.79 10 .505 14.2 10 .517 14.78 10 .486 12.68 10 .531 14.2 10 .539 14.57 10 .511 12.67 10 .560 14.3 10 .555 14.31 10 .544 12.69 10 .585 14.3 -------------------- -------------------- ------------------- TABLE 4 (continued) -------------------- -------------------- -------------------- 12(contin.) 10 .493 14.72 10 .454 12.93 10 .516 14.56 10 .480 12.91 n phase bright- 10 .539 14.38 10 .511 12.91 ness 5 .549 14.34 10 .541 12.91 5 .558 14.41 10 .567 12.89 10 .603 14.3 5 .568 14.44 10 .590 12.90 10 .624 14.3 10 .588 14.45 10 .613 12.92 10 .638 14.4 10 .611 14.43 10 .633 12.92 10 .656 14.3 10 .633 14.49 10 .648 12.90 10 .678 14.3 10 .659 14.56 10 .670 12.93 10 .699 14.4 10 .685 14.67 10 .689 12.91 10 .716 14.4 10 .709 14.69 10 .699 12.92 10 .741 14.4 10 .725 14.77 10 .717 12.92 10 .762 14.4 10 .753 14.80 10 .729 12.93 10 .780 14.3 10 .771 14.77 10 .748 12.91 10 .799 14.2 10 .791 14.96 10 .772 12.93 10 .840 14.2 10 .809 15.01 10 .797 12.91 10 .869 13.8 10 .825 15.06 10 .819 12.91 10 .886 13.9 10 .848 15.01 10 .835 12.93 10 .909 13.5 10 .866 15.01 10 .851 12.90 10 .924 13.8 10 .891 15.06 10 .866 12.92 10 .948 13.5 10 .910 15.09 10 .891 12.93 5 .967 13.6 10 .926 15.10 10 .909 12.94 5 .980 13.5 10 .948 15.08 10 .927 12.91 5 .987 13.5 10 .970 15.24 10 .941 12.92 5 .997 13.3 10 .987 15.29 10 .957 12.91 ------------------- -------------------- 10 .970 12.93 13 14 10 .986 12.90 7 .996 12.95 n phase bright- n phase bright- -------------------- ness ness 15 10 .012 15.25 10 .010 12.96 n phase bright- 10 .032 15.19 10 .025 12.98 ness 10 .050 15.27 10 .047 12.99 10 .066 15.32 10 .064 13.33 10 .028 13.41 10 .080 15.31 5 .085 13.37 10 .072 13.39 10 .096 15.29 5 .100 13.37 10 .087 13.43 10 .114 15.29 5 .113 13.37 10 .098 13.41 10 .135 15.29 5 .127 13.35 10 .119 13.42 10 .158 15.26 5 .150 13.35 10 .151 13.42 10 .172 15.30 5 .164 13.28 10 .172 13.41 10 .196 15.19 10 .184 12.99 10 .189 13.40 10 .221 15.29 10 .210 12.96 10 .208 13.42 10 .244 15.30 10 .235 12.92 10 .226 13.41 10 .271 15.38 10 .257 12.93 10 .246 13.43 10 .291 15.32 10 .279 12.95 10 .263 13.39 10 .309 15.33 10 .298 12.93 10 .276 13.40 10 .341 15.29 10 .321 12.91 10 .292 13.43 10 .366 15.37 10 .338 12.93 10 .315 13.43 10 .393 15.30 10 .355 12.94 10 .339 13.42 10 .414 15.35 10 .368 12.92 10 .352 13.43 10 .440 15.30 10 .394 12.92 10 .382 13.59 10 .466 14.95 10 .421 12.91 5 .405 14.16 -------------------- --------------------- -------------------- TABLE 4 (continued) ---------------------- ---------------------- ----------------------- 15(contin.) 10 .262 13.18 10 .269 13.80 10 .281 13.19 10 .278 13.70 n phase bright- 10 .293 13.19 10 .287 13.75 ness 10 .314 13.21 10 .301 13.74 10 .345 13.18 10 .320 13.79 5 .424 14.38 10 .381 13.18 10 .351 13.75 5 .431 14.40 10 .398 13.22 10 .376 13.81 5 .436 14.40 10 .416 13.19 10 .419 13.86 5 .443 14.40 10 .435 13.19 10 .440 13.65 5 .451 14.36 10 .449 13.21 10 .476 13.79 5 .458 14.13 10 .462 13.16 10 .498 13.78 5 .468 14.08 10 .480 13.17 10 .513 13.73 10 .487 13.49 10 .498 13.18 10 .535 13.72 10 .518 13.41 10 .520 13.16 10 .561 13.78 10 .547 13.42 10 .549 13.17 10 .577 13.79 10 .588 13.41 10 .577 13.17 10 .593 13.72 10 .612 13.43 10 .596 13.19 10 .613 13.72 10 .639 13.39 10 .606 13.21 10 .634 13.77 10 .654 13.37 10 .620 13.15 10 .656 13.76 10 .668 13.40 10 .650 13.17 10 .676 13.74 10 .684 13.40 10 .680 13.19 10 .697 13.75 10 .700 13.47 10 .707 13.20 10 .718 13.83 10 .714 13.39 5 .742 14.38 10 .737 13.83 10 .733 13.41 5 .761 15.13 10 .751 13.87 10 .763 13.39 5 .773 15.13 5 .764 14.14 10 .784 13.41 5 .785 15.02 5 .774 14.64 10 .806 13.41 10 .814 13.18 5 .785 14.79 10 .810 13.42 10 .835 13.18 5 .796 14.74 10 .848 13.41 10 .858 13.18 5 .807 14.64 10 .862 13.43 10 .883 13.17 5 .817 14.46 10 .879 13.45 10 .912 13.20 10 .839 14.04 10 .899 13.43 10 .929 13.23 10 .877 13.77 10 .917 13.43 10 .949 13.18 10 .906 13.71 10 .930 13.42 10 .962 13.14 10 .935 13.73 10 .952 13.42 10 .975 13.17 10 .960 13.78 10 .979 13.42 10 .991 13.18 10 .989 13.74 -------------------- ---------------------- ----------------------- 16 17 18 n phase bright- n phase bright- n phase bright- ness ness ness 10 .017 13.23 10 .013 13.71 5 .003 13.40 10 .033 13.23 10 .038 13.78 5 .008 13.56 10 .049 13.23 10 .059 13.76 5 .030 14.45 10 .064 13.17 10 .080 13.75 5 .040 15.24 10 .076 13.17 10 .099 13.74 5 .049 15.31 10 .093 13.20 10 .116 13.73 5 .058 15.40 10 .107 13.17 10 .128 13.80 5 .070 15.38 10 .125 13.15 10 .142 13.78 5 .078 14.82 10 .143 13.17 10 .156 13.78 5 .085 14.45 10 .162 13.17 10 .174 13.76 5 .091 14.20 10 .178 13.17 10 .194 13.78 5 .095 14.16 10 .202 13.18 10 .216 13.72 5 .100 13.77 10 .236 13.19 10 .243 13.80 5 .104 13.61 TABLE 4 (continued) ------------------------------------------------------------------------ --------------------- --------------------- ------------------------- 18(contin.) 19 10 .895 12.87 10 .909 12.79 n phase bright- n phase bright- 10 .930 12.91 ness ness 10 .942 12.85 10 .956 12.83 5 .111 13.37 10 .011 12.93 10 .974 12.92 5 .138 13.36 10 .042 12.90 10 .984 12.82 10 .160 13.36 10 .073 12.96 3 .996 12.88 10 .178 13.35 10 .088 12.86 -------------------------- 10 .194 13.34 10 .097 12.85 20 10 .213 13.42 10 .119 13.04 10 .236 13.34 5 .136 13.28 n phase bright- 10 .269 13.29 5 .149 13.56 ness 10 .286 13.31 5 .176 14.11 10 .298 13.32 5 .186 14.20 10 .020 15.22 10 .318 13.28 5 .196 14.16 10 .059 15.05 10 .332 13.33 5 .212 13.76 10 .086 15.27 10 .351 13.37 5 .227 13.25 10 .124 15.06 10 .375 13.40 5 .240 13.17 5 .149 14.75 10 .400 13.33 10 .258 12.94 5 .174 14.50 10 .422 13.35 10 .283 12.89 5 .192 14.40 10 .443 13.27 10 .306 12.95 5 .202 14.56 10 .465 13.33 10 .316 12.93 5 .210 14.15 10 .488 13.42 10 .339 12.94 5 .228 14.22 10 .511 13.34 10 .367 12.93 5 .236 14.19 10 .542 13.38 10 .384 12.96 5 .246 14.20 10 .560 13.36 10 .398 12.82 5 .263 14.17 10 .577 13.36 10 .414 12.98 5 .269 14.35 10 .601 13.34 10 .426 12.91 5 .284 14.47 10 .634 13.32 10 .442 12.84 5 .297 14.54 10 .669 13.33 10 .456 12.91 5 .305 14.35 10 .698 13.34 10 .473 12.86 5 .321 14.56 10 .713 13.35 10 .488 12.82 5 .334 14.57 10 .730 13.35 10 .520 12.80 10 .355 14.67 10 .747 13.33 10 .541 12.88 10 .390 14.65 10 .763 13.34 10 .557 12.95 10 .434 14.68 10 .779 13.33 10 .577 12.96 10 .488 14.95 10 .798 13.35 10 .592 12.93 10 .542 14.85 10 .836 13.33 10 .624 12.99 10 .593 15.06 10 .363 13.35 10 .649 12.99 10 .639 15.16 10 .885 13.37 10 .670 12.98 10 .665 15.06 10 .913 13.32 10 .689 13.01 10 .690 15.08 10 .938 13.37 10 .702 13.02 10 .711 15.08 10 .953 13.43 5 .720 12.04 10 .728 15.07 10 .971 13.30 5 .728 12.96 10 .750 15.21 10 .992 13.36 5 .738 12.97 10 .775 15.21 -------------------- 5 .742 12.95 10 .807 15.05 5 .749 12.97 10 .847 15.15 5 .759 12.83 10 .900 15.08 5 .776 12.81 10 .944 14.94 5 .796 12.95 12 .984 15.08 10 .819 12.91 --------------------- 10 .870 12.86 -------------------- TABLE 4 (continued) ------------------------ 21 n phase bright- ness 10 .011 13.60 10 .043 13.85 10 .061 13.87 10 .082 14.18 10 .094 14.27 10 .112 14.45 10 .133 14.54 10 .153 14.54 10 .192 14.68 10 .242 14.71 10 .265 14.84 10 .284 14.90 10 .302 14.62 10 .322 14.98 10 .342 14.96 10 .356 14.91 10 .366 14.92 10 .383 14.86 10 .407 14.81 10 .430 14.97 10 .458 14.81 10 .470 15.02 10 .486 15.02 10 .507 15.12 10 .533 14.93 10 .553 14.89 10 .575 14.95 10 .603 14.76 10 .628 14.96 10 .662 14.77 10 .678 14.58 10 .691 14.48 10 .748 13.69 10 .785 13.50 10 .807 13.31 10 .821 13.34 10 .833 13.29 10 .860 13.37 10 .867 13.45 10 .890 13.51 10 .904 13.54 10 .920 13.41 10 .944 13.60 10 .994 13.59 ---------------------