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Космонавтика Форма неполных интегралов
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ТабЛиа,а 60. Функции her (х) и het (х) Ьег X = - kei X = | 1 herx | heix | | herx | heix | 1 | herx | he) к | | - 0, | | | | | | - 0, | | | | | | | | + o.o | | | 5000 + | | - oo | | | 1.00 | 3151 | + 23 5 | 1825 | + 415 | | 1289 | | | 2652 | + 66 | | 4997 | | 2,564 | | | | 3106 | | 1738 | | | 1261 | | | 2785 | | | 4989 | | 2,123 | | | | 3062 | 22 5 | 1654 | 40 5 | | 1233 | | | 2911 | | | 4977 | | 1,865 | | | | 3017 | | 1573 | | | 1206 | | | 3031 | | | 4963 | | 1,683 | | | | 2973 | | 1495 | | | 1180 | | 11 S | 3145 | 54 5 | | 4946 | | - 1 541 | | | 1 10 | 2929 | + 21 5 | 1419 | + 17 | 2.10 | 1151 | | | 3254 | + i1 | | 4926 | | 1,425 | | 48.5 | | 2886 | | 1345 | 15 5 | | 1127 | | 12 5 | 3356 | 48 5 | | 490* | | 1,328 | | | | 2842 | 21 5 | 1274 | | | 1102 | | | 3453 | | | 4880 | | 1.244 | | 37.5 | | 2799 | 11 5 | 1206 | | | 1077 | | 12 5 | 3545 | 41 S | | 4854 | | 1.169 | | | | 2756 | 21 5 | 1140 | | | 1052 | | | 3632 | | а 20 | 4826 | 14.5 | - 1.103 | | 19 5 | 1 20 | 2713 | + 24 | 1076 | + 11 | 2.20 | 10277 | | | 3714 | + 38 5 | | 4797 | | 1.044 | | 17 5 | | 2671 | 21.5 | 1014 | | | 10037 | | 118 5 | 3791 | | | 4767 | | 0.989 | | 14,5 | | 2628 | 10.5 | 0954 | | | 09800 | | 116 S | 3863 | | | 4735 | | 0,940 | | | | 2587 | | 0896 | | | 09567 | | 11* 5 | 3931 | 11 5 | | 4701 | | 0.894 | | 21 5 | | 2545 | 20 5 | 0840 | | | 09338 | | | 3994 | 19 5 | 0.30 | 4667 + | 17 5 | - 0.851 | | 19 5 | 1,30 | 2504 | + 20.5 | 0786 | + 36 | 2.30 | 09112 | | | 4053 | +27 5 | | 4633 | IS 5 | 0 812 | | 18 5 | | 2463 | 10.5 | 0734 | . 35 5 | | 08890 | | | 4108 | IS 5 | | 4595 | 18 5 | 0,775 | | 17.5 | | 2422 | | 0683 | | | 08672 | | | 41S9 | 11 5 | | 4558 | | 0.740 | | 16,5 | | 2382 | | 0635 | | | 08456 | | 105 S | 4206 | | | 4520 | 19,5 | 0,707 | | 15 5 | | 2342 | | 0587 | 22 5 | | 08245 | | | 4250 | 19 5 | 0.40 | 4481 | | - 0,6765 | | 145,5 | 1 40 | 2302 | + 19 5 | 0542 | + 32 | 2,40 | 08037 | | 1015 | 4289 | + 1 | | 4441 | 20.5 | 0.6474 | | 118,5 | | 2263 | 19,5 | 0498 | | | 07832 | | 100 5 | 4)25 | 1* 5 | | 4400 | 20.5 | 0.6197 | | | | 2224 | | 0456 | 10 5 | | 076J1 | | | 4358 | 14 5 | | 4359 | 20.5 | 0.5935 | | 124 5 | | 2186 | | 0415 | | | 074J3 | | 97,5 | 4187 | | | 4318 | 21.5 | 0.5686 | | 118 5 | | 2148 | | 0375 | | | 07238 | | 95 5 | 4411 | 11 5 | O.SO | 4275 + | - 0.5449 | | | 1.50 | 2110 | + 19 | 0337 | + 18.5 | 2 50 | 07047 | | | 4436 | + 10 5 | | 4233 | 21.5 | 0.5223 | | 108 5 | | 2072 | 18 5 | 0300 | 17 5 | | 06857 | | | | 5 | | 4190 | | 0.5006 | | | | 2035 | 18 5 | 0265 | 17.5 | | 06675 | | | 4474 | | | 4146 | | 0.4800 | | | | 1998 | | 0230 | | | 06493 | | | 4488 | | | 4102 | | 0.4602 | | 94,5 | | 1962 | | 0198 | | | 06315 | | | 4500 | | 0,60 | 4058 + и | - 0,4411 | | | 1 60 | 1926 | + 17 5 | 0166 | + 15,5 | 2,60 | 06140 | | | 4509 | + 1 | | 4014 | 32.5 | 0,4231 | | | | 1891 | | 0135 | 14 5 | | 05968 | | 84.5 | 4515 | | | 3969 | 22.5 | 0.4057 | | | | 1855 | | 0106 | 14 5 | | 05799 | | | 4520 | 05 | | 3924 | 12.5 | 0.3889 | | 80.5 | | 1821 | 17 5 | 0077 | ll.S | | 05633 | | | 4521 | | | 3879 | 23.5 | 0.3728 | | | | 1786 | | 0050 | | | 05471 | | | 4521 | - 1 5 | | 3834 + | | - 0.3574 | | 74,5 | 1 70 | 1752 | + 16 5 | 0013 | + 12 5 | 2,70 | 05311 | | 78 5 | 4518 | - 2 | | 3788 | 22 5 | 0,3425 | | 71 5 | | 1719 | | 0002 | | | 05154 | | | 4514 | | | 3743 | | 0.3282 | | | | 1685 | 16,5 | 0026 | | | 05000 | | 75 5 | 4507 | | | 3697 | | 0,3144 | | 44 5 | | 1652 | | OOSO | | | 04849 | | | 4490 | | | 3651 | 11 5 | 0.3011 | | | | 1620 | | 0072 | | | 04701 | | | 4480 | | | 3606 + | | - 0.2883 | | 61 5 | 1,80 | 1588 | + 14 | 0094 | + 10 | 2,80 | 04556 | | | | | | 3560 | | 0.2760 | | 59 5 | | 1556 | 15 5 | 0114 | | | 04414 | | | 4461 | | | 3514 | 21.5 | 0.2641 | | 57 s | | 1525 | 15 5 | 0134 | | | 04274 | | | 4445 | | | 3469 | | 0.2526 | | 55,5 | | 1494 | 15.5 | 0153 | | | 04138 | | | 4428 | | | 3423 | | 0.2415 | | 51 5 | | 1463 | | 0171 | | | 04004 | | | 4409 | | | + 22.5 | - 0,2308 | | 51 5 | 1 90 | 1433 | + 14 S | 01R88 | + 81 5 80 | 2.90 | 03872 | | | 4389 | - 11 | | 3332 | 31.5 | 0,2205 | | | | 1404 | | 02055 | | 03744 | | 63,5 | 4367 | 11 5 | | 3287 | | 0.310b | | 48,5 | | 1374 | 14 S | 02215 | 76 5 | | 03617 | | 1,5 | 4344 | | | 3241 | Z2.5 | 0,2008 | | 44,5 | | 1345 | | 02368 | 72.5 | | 03494 | | 0.5 | 4320 | | | 3196 | 12.5 | 0.1915 | | | | 1317 | | 02513 | 69 5 | | 03373 | | | 4294 | 11 5 | | 3151 | | -0.1825 | | | 2.00 | 1289 | | 02652 | | 3,00 | 03255 | | | 4267 | | | - t. | | | | | | | | + 0. | | | | | | + |
в. МОДИФИЦИРОВАННЫЕ ФУнИЦИИ ВЁССЁЛЯ Продаджение табл. 60 | herx | heix | | herx | | -8.8 | | + 8.0 | | | + 8,00 | 3,00 | 3255 | | 4267 | - 14 | 4,00 | 1400 + 5 | | 3139 | | 4239 | 14,5 | | 1699 | | 3025 | SS.S | 4210 | | | 1987 13,5 | | 2914 | 54.5 | 4180 | 15.5 | | 1266 | | 2805 | | 4149 | 1S.S | | 2534 , | 3.10 | 2699 | + 52 | 4118 | -16,5 | 4.10 | 1791 + m.S | | | S1 | 4085 | | | 3041 , .s | | 2493 | 49.S | 4051 | | | 3280 5 | | 2394 | 48.5 | 4017 | 17.S | | 3510 o.S | | 2297 | 47.5 | 3981 | | | 3731 106 | 3,20 | 2202 | + 46.5 | 3946 | - 18 | | 394S + 101,$ | | 2109 | 45.5 | 3910 | 18.5 | | *1** 97.S | | 2018 | 44.S | 3873 | | | 4341 5 | | 1929 | | 3835 | | | 4528 89,5 | | 1843 | 42.5 | 3797 | 19.5 | | 4707 es | 3 30 | 1758 | + 41 | 3758 | - 19.5 | 4,30 | < 77 + 8, 5 | | 1676 | 40.5 | 3719 | | | SOW 78 | | 1595 | | 3679 | | | 5196 | | 1517 | 38,5 | 3639 | | | 5344 70,5 | | 14(0 | 37,5 | 3599 | 10 5 | | 5485 | | 1365 | + J6.5 | 3558 | - 20 | 4,40 | 5619+ M.S | | 1292 | 35 5 | 3518 | | | 5746 to | | 1221 | J4.S | 3476 | 10.S | | 5866 57 | | 11S2 | 31.5 | 3435 | И , | | 5980 53,5 | | 1085 | | 3393 | | | 6087 5, | | 1019 | | 3351 | - 21 | 4.50 | + 47.5 | | 0955 | 11.5 | 3309 | | | 284 44.5 | | 0892 | | 3167 | 11.S | | 6373 1 | | 0832 | | 3224 | | | 6457 3, | | 0772 | | 3182 | | | 6535 34 | | 0715 | + 28 | 3140 | - 21.5 | 4,60 | 6607 + 34 | | 0659 | | 3097 | 21.S | | 6675 3, | | 0605 | 16,5 | 3054 | | | 6737 je.S | | 0552 | | 3012 | 21 .S | | 6794 и | | 0500 | 24.S | 1969 | | | 6846 24 | 3.70 | 0451 | + 24.5 | 2927 | - 21.5 | 4,70 | 689*+ 21.S | | 0402 | 23,5 | 1884 | | | 6937 | | 0355 | | 2842 | | | 6975 ,7 | | 0309 | | 2799 | | | /009 IS | | 0265 | 21.5 | 2757 | | | 7039 1, | 3,80 | 0222 | + 11 | 2715 | - 21 | 4.80 | 7065 + 1, | | 0180 | 10 | 2673 | | | 7087 , | | 0140 | 19.5* | 2631 | | | 7105 7 | | 0101 | | 2589 | л>л | | 7119 s | | 0063 | 18.5 | 2548 | 20.5 | | 7119 3.5 | 3.90 | 0026 | + 17.5 | 1507 | - 21 | 4,90 | 7136+1 | | 0009 | 17.5 | 1465 | | | 7140 0 | | 0044 | 16.1 | 2415 | 30.5 | | 7140 1,5 | | 0077 | | 13В4 | 20.5 | | 7137 3 | | 0109 | 1S.S | 2343 | | | 7131 4.5 | 4,00 | 0140 | | 1303 | | 5,00 | 7111 | | + 0.8 | | + 8.0 | | | + 0.00 |
heix | herx | heix | | + 0.08 | | + 0.88 | | 5.00 | 7121 4 | 7319 | loe.s | | 7110 | | 7112 | | | 7096 | | 6898 | 104.5 | | 7078 | | 6689 | 103,S | | 7058 | | 6481 | | 5.10 | 7036 ,2 5 | 6280 | 99.S | | 7011 | 11.S | 6081 | 97.S | | 6984 | | 5886 | | | 6954 | 15.5 | 5694 | | | 6923 | | 5506 | | 5.20 | 6889 ,e | 5322 | | | 6853 | 18.S | 5140 | 88.5 | | 6816 | | 4963 | 87,5 | | 6776 | 20.5 | 4788 | 85,S | | 6735 | 21.5 | 4617 | 81.5 | 5.30 | 6692 | | 4450 | e2.S | | 6648 | | 4285 | 80.S | | 6602 | | 4124 | | | 6554 | 24.5 | 3966 | | | 6505 | | 3812 | | 5.40 | 6455 | | 3660 | | | 6403 | | 3512 | | | 6351 | | 3366 | | | 6297 | 27,5 | 3224 | 49.S | | 6241 | | 3085 | | 5.50* | 6186 | -28,5 | 2949 | 6,5 | | 6129 | | 2816 | | | 6071 | 29.5 | 2685 | 63.S | | 6012 | | 2558 | | | 5952 | | 2434 | | 5.60 | 5892 | -30,5 | 1311 | S9.S | | 5831 | | 2193 | | | 576 | | 2077 | | | 5707 | 31.S | 1963 | & | | 5644 | | 1853 | | 5.70 | S580 3i.5 | 1745 | | | 5517 | 31,5 | 1639 | S1.S | | 5452 | 11.5 | 1536 | | | 5387 | 12.5 | 1436 | | | 5322 | 32,S | 1338 | | 5.80 | 5257 | | 1242 | | | 5191 | 12,S | 1149 | | | 5116 | 33.5 | 1059 | | | 5059 | | 0971 | | | 4993 | | 0885 | | 5.90 | 4927 | -31.5 | 0801 | 40.5 | | 4860 | | 0710 | | | 4794 | | 0640 | ie,s | | 4727 | | 0563 | 37,$ | | 4661 | 31,5 | 0488 | | 6.00 | 4594 + 0.88 | | 0418 + .88 | |
+ 0.0 1303 . 2263 1214 2184 214S 2106 2068 2029 1992 1954 1917 1880 1843 1807 1771 1736 1700 1666 1631 1597 1563 1530 1497 1465 1432 1401 . 1369 1338 1308 1177 1247 1118 1189 1160 1132 11041 10767 10496 10219 09966 09707 09452 09201 08953 03710 08470 . 08234 08002 07774 07549 07329 + 8.8 - 20 19.5 20 19,5 19,5 19 19,5 18.5 19 18.5 18,5 18,5 18 18 17,5 - 18 i7 17J 17 17 - 16.S 16.5 16 16.5 15.S - 16 15,5 IS 1S.S IS - U.S 14.5 14,: 14 14 117,5 13S.5 131.$ 131,5 129.5 127Л 125.5 114 121.5 130 -118 116 114 112J IW
xm. функция бесоеля (цилиндрические функции) Таблица 61. Функции her {х) в Ье\{X) НеКж = - Re Н?(х УО = Re Vi HJ (x/i). Шж - ~ Im Н?>(хУО - -Гт /1 Н< (х | Ьегх | heix | | 1 | herx | | heix 1 | | Ьегх | heix | | + 0. | | | | | + 0. | | + 0, | | | + 0. | | + 0.0 | | 0,00 | 0000 | | | | 1.00 | 2243 | | 4422. | -74.5 | 2.00 | 13993 | 6786 | | | 0288 | | + 31.8 | | | 2235 | | 4273 | 71.5 | | 13801 | | 6466 | | | 048S | | 15.9 | | | 2225 | | 4130 | | | 13609 | | 6154 | | | 0655 | | 10.6 | | | 2215 | | 3992 | 66.5 | | 13417 | | 5852 | | | 0800 | | 7.94 | | | 2205 | | 3859 | | | 13227 | | 5558 | 141.5 | 0.10 | оя*+ SS.$ | + 6.34 | | 1.10 | 2193 | | 3730. | | 2.10 | 13037 | 5273 | 118.5 | | 1046 | | .5.28 | | | 2182 | | 3606 | | | 12849 | | 4996 | | | 1152 | | 4.51 | | | 2169 | | 3486 | | | 12661 | 93 5 | 4727 | | 1& | 1248 | 44.5 | . 3,94 | | | 2156 | | 3370 | | | 12474 | | 4467 | 116 5 | | 1337 | | 3.49 | | | 2143 | | 3258 | 54.5 | | 12288 | 91.5 | 4214 | 111.5 | 0.20 | 1419 | + 18 . | + 3.134 | | 1.20 | 2129 | | 31*9 -524 | 2.20 | 12103 | 3969 | | 1495 | | 2.840 | | | 2115 | | 3044 | | | 11919 | | 3731 | 115 5 | | 1565 | 32.5 | 2.594 | | | 2101 | | 2942 | | | 11737 | | 3500 | | | 1630 | | 2.385 | | . 26 | 2086 | | 2844 | 47.5 | | 11555 | | 3276 | | | 1690 | | 2.206 | | | 2070 | | 2749 | 46.5 | | 11375 | 89.5 | 3059 | | | 1746 | + 2* | + 2.050 | 68.5 | 1.30 | 2056 | | 2656 | -444 | 2.30 | 11196 | - 89 | 2849 о. | | 1798 | | 1.913 | | | 2038 | | 2567 | 43,5 | | 11018 | | 2645 | | | 1846 | 21.5 | 1.791 | | | 2022 | | 2480 | | | 10842 | | 2447 | 95,5 | | 1891 | 20.5 | 1.683 | | | 2005 | | 2396 | | | 10666 | 86.5 | 2256 | | | 1932 | | 1.585 | | | 1988 | | 2314 | 39.S | | 10493 | | 2071 | | 0.40 | 1970 | + 18 | + 1.497 | | 1.40 | 1971 | | 2235 | - 384 | 2.40 | 10320 | -854 | 1892 ,7 | | 2006 | | 1,417 | 36.5 | | 1954 | | 2158 | | | 10149 | | 1718 | | | 2038 | | 1.344 | 33.5 | | 1936 | | 2084 | | | 09979 | | 1550 | | | 2068 | | 1.277 | 30.5 | | 1913 | | 2011 | | | 09811 | 83.5 | 1387 | 78,5 | | 2096 | 11.5 | 1.216 | 28.5 | | 1900 | | 1941 | | | 09644 | 81.5 | 1230 | | 0.50 | 2121 | + 11.5 | + 1.159 | 24.S | 1.50 | 1882 | | 1873 | - 33 | 2,50 | 09479 | - 81 | 1078 73.5 | | 2144 | 10.5 | 1.106 | 15 - | | 1863 | | 1807 | 31,5 | | 09315 | | 0931 | | | 2165 | | 1.056 | | | 1845 | | 1742 | | | 09153 | 80.5 | 0789 | | | 2184 | | 1.010 | | | 1826 | | 1680 | 30,5 | | 08992 | 79.5 | 0651 | | | 2201 | | 0.968 | 20.5 | | 1807 | | 1619 | 19.5 | | 08833 | | 0519 | | 0.60 | 2216 | + 7 | + 0.927 | | 1.60 | 1788 | | 1560 | - 18.5 | 2.60 | 08675 | - 78 | 0391 а | | 2230 | | 0.889 | | | 1769 | | 1503 | 17,5 | | 08519 | 77.5- | 0267 | | | 2242 | | 0,854 | | | 1750 | | 1448 | | | 08364 | | 0148 | 57.5 | | 2252 | | 0,820 | | | 1731 | | 1394 | 16.5 | | 08212 | | 0033 | | | | | 0,788 | | | 1711 | | 1341 | | | 08060 | | *0078 | | 0.70 | 2268 | + 3 | + 0,7582 | | 1.70 | 1692 | | 1290 | - 144 | 2.70 | 07910 | - 74 | 0185 . | - 514 | | 2274 | | 0.7296 | 1354 | | 1673 | | 1241 | | | 07762 | | 0288 | 49.5 | | 2279 | | 0.7025 | 129.5 | | 1653 | | 1193 | 11.5 | | 07616 | 72.5 | 0387 | 47.5 | | 2282 | | 0.6766 | | | 1633 | | 1146 | | | 07471 | | 0482 | | | 2285 | + 04 | 0,6520 | | | 1614 | | 1101 | 21.5 | | 07337 | | 0574 | | | 2286 | | + 0.6286 | 111.5 | 1.80 | 15943 | 97.5 | 1056 | - 21 | 2.80 | 07186 | - 70 | 0662 5 | | 2286 | - 0.5 | 0.6061 | | | 15748 | | 1014 | | | 07046 | 69.5 | 0747 | 40.5 | | 2285 | | 0.5847 | 1024 | | 15552 | | 0972 | 10.5 | | 06907 | | 0828 | | | 2283 | | 0.5642 | | | 15356 | | 0931 | | | 06771 | 67,5 | 0906 | 37.5 | | 2280 | | 0.54(6 | | | 15160 | | 0892 | | | 06636 | | 0981 | | 0.90 | 2276 | - 2.5 | + 0.5258 | 90.5 | 1,90 | 14965 | 97.5 | 0854 | - 184 | 2.90 | 06502 | - 66 | 1053 U | | 2271 | | 0,5077 | | | 14770 | 97.5 | 0817 | | | 06370 | | 1121 | 13 11.5 | | 2265 | | 0,4903 | | | 14575 | | 0781 | 17,5 | | 06240 | | 1187 | | 2259 | | 0vt737 | | | 14381 | | 0746 | | | 06112 | 6Э.5 | 1250 | | | 2251 | | 0.4576 | | | 14187 | | 0712 | | | 05985 | | 1310 | 18.5 | 1.00 | 2243 + 0. | | + 0,а22 | | 2.00 | 13993 + 0. | | 0679 + 0. | | 3.00 | 05860 + 0. | | 1367 -0.0 | |
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