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Космонавтика Форма неполных интегралов
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 [ 43 ] 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
0,t 0,2 0,3 0. 0,5 ОМ 0J 0,8 0 1,0 1 dlnO,(f) п -7-7 А 1 rflndi(i>) Рис. 77. Функции--=----5- я at) я ас ! 10 3 8 : 7 6 5 J / Рис* 78. Функции l >)=-lilL£Jlil). л dv п dv
Таблица 33. Тата-функцйи и Их производные | tx=0° | 9- 1 | | | | | | | | | | | 1.П000 | 0.9970 | 0.9874 | 0.9712 | 0.9471 | 0.9135 | 0,8680 | 0.8052 | 0.7152 | 0.5694 | | | | | 1.0000 | 0.9970 | 0.9881 | 0.9725 | 0,9497 | 0.9178 | 0,8744 | 0,8147 | 0,7290 | 0.5898 | | | | | 1.0000 | 0.9975 | 0.9899 | 0.9766 | 0.9572 | 0.9300 | 0,8931 | 0,8424 | 0.7691 | 0.6494 | | | | | 1.0000 | 0.9982 | 0.9927 | 0.9831 | 0.9689 | 0.9493 | 0.9223 | 0.8853 | 0.8318 | 0.7429 | | | | 1.0000 | 0.9991 | 0.9961 | 0.9911 | 0,9836 | 0.9732 | 0.9592 | 0.9397 | 0.9110 | 0,8619 | | | | 1.0000 | 1.0000 | 1.0000 | 1.0000 | iloooo | 1.0000 | 1,0000 | 0.9999 | 0.9992 | 0,9956 | | и | | | 1.0000 | 1.001 | 1.004 | 1.009 | 1.016 | 1.027 | 1,041 | 1.060 | 1.088 | 1,131 | | | | | 1.0000 | 1.002 | 1,007 | 1.017 | 1.031 | 1.051 | , 1,078 | 1,115 | 1.168 | 1,254 | | | | 1.0000 | 1.003 | 1.010 | 1.023 | 1.043 | 1.070 | 1,107 | 1.158 | 1.231 | 1,353 | | | | | 1.0000 | 1.003 | 1.012 | 1.028 | 1.050 | 1.082 | ,1.126 | 1.186 | 1.272 | 1.417 | | | | | 1.0000 | 1.003 | 1.013 | 1.029 | 1.053 | 1,086 | 1.132 | 1.19S | 1,286 | 1.439 | | | | | о.ооос | О.ОООО | О.ОПОО | 0.0000 | 0.0000 | О.ОООО | 0.0000 | О.ОООО | 0.0000 | 0,0000 | | | | | 0.0000 | 0.06206 | 0.08804 | 0.1084 | 0,1260 | 0.1419 | 0.1566 | 0.1700 | 0.1810 | 0,1843 | | | | | 0.0000 | 0.1226 | 0.1739 | 0.2140 | 0.2488 | 0,2804 | 0.3098 | 0.3368 | 0.3597 | 0.3698 | | | | 0.0000 | 0.1801 | 0.2555 | 0.3145 | 0.3657 | 0.4123 | 0.4560 | 0.4968 | 0.5335 | 0.5563 | | > | | 0.0000 | 0.2332 | 0.3308 | 0.4073 | 0.4736 | 0.S343 | 0.5917 | 0.6467 | 0.6989 | 0,7413 | | < | | 0.0000 | 0.2805 | 0.3980 | 0.490О | 0.5700 | 0.6436 | 0.7139 | 0.7827 | 0.8517 | 0.9200 | | | | G.0000 | 0.3210 | 0.4SS3 | 0.5607 | 0.6524 | 0.7372 | 0.8188 | 0,9007 | 0.9870 | 1,085 | | | | | 0.0000 | 0.3535 | 0.5015 | 0.6176 | 0.71 S8 | 0.8129 | 0.9041 | 0.9972 | 1.100 | 1,227 | | | | 00000 | 0.3773 | 0.5353 | 0.6592 | 0.7675 | 0.8682 | 0.9669 | 1.069 | 1.184 | 1,337 | | | | | 0.0000 | 0.3918 | 0.5559 | 0.6847 | 0.7973 | 0.9022 | 1.0О5 | 1.113 | 1.237 | 1.407 | | | | | о.опоо | 0.3967 | 0.5629 | 0.6933 | 0.8074 | 0.9135. | 1.018 | 1.128 | 1.25S | 1.431 | | | | | 0.0000 | 0.0000 | о.ооии | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | | | | | 0.0000 | 0.001920 | 0.007845 | 0.01333 | 0.03444 | 0.05806 | 0.09324 | 0.1473 | 0.2401 | 0.4380 | | > | | | о.пооо | 0,003650 | 0.01490 | 0.03471 | 0.06S02 | 0.1092 | 0.1737 | 0.2712 | 0.4333 | 0,7614 | | | | | 0.0000 | 0,005020 | 0.02045 | 0,04747 | 0.08839 | 0.1473 | 0.231 S | 0.3555 | 0.5527 | 0.9247 | | | | | 0.0000 | 0.005897 | 0.02396 | 0,05536 | 0.КЙ4 | 0.1689 | 0.2613 | 0.3942 | 0,5?47 | 0.946? | | р | | | 0.0000 | О.0О6194 | 0.02509 | 0,05769 | 0.1059 | 0.1729 | 0.2642 | 0.3899 | 0,5719 | 0.8742 | | | | 0.0000 | C.0OS883 | 0.02377 | 0,05438 | 0,CS9906 | 0.1601 | 0.2415 | 0.3502 | 0,5011 | 0.7411 | | | | | 0.0000 | 0.005002 | 0.02015 | 0.04589 | 0.08306 | 0.1331 | 0.1984 | 0.2836 | 0.3980 | 0.5743 | | | >. | | 0.0000 | 0.003632 | 0.01460 | 0,03314 | 0.05968 | 0.09500 | 0.1404 | 0.1985 | 0.2748 | 0,3906 | | *5 С | о | | о.оооо | 0,001909 | 0,007661 | 0.01735 | 0.03115 | 0.04945 | 0.07260 | 0.1020 | 0.1400 | 0.1972 | | | | | 0.0000 | о.иооо | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | | | | | | | | | | | | | | | | | | | 6.3138 | 6.314 | 6.314 | 6.314 | 6.314 | 6.316 | 6.320 | 6,326 | 6.340 | 6.384 | | > | | | 3,0777 | 3.078 | 3.078 | 3.078 | 3.080 | 3.082 | 3.088 | 3.100 | 3,128 | 3,218 | | | | | 1,9626 | 1,962 | 1.963 | 1.963 | 1.965 | 1.969 | 1.977 | 1.994 | 2.031 | 2,132 | | | | | 1.3764 | 1.376 | 1.377 | 1.377 | 1.379 | 1.384- | 1.393 | 1.413 | 1.457 | 1.570 | | | | | 1.0000 | 1,0000 | 1.0000 | 1.001 | 1.003 | 1.007 | 1.017 | 1.038 | 1.083 | 1.198 | | | | 0,7265 | 0.7266 | 0.7268 | 0.7273 | 0.7293 | 0.7337 | 0.7432 | 0.7628 | 0.8048 | 0.9099 | | | | | 0.S09S | 0,5096 | 0.5097 | 0.5102 | 0.5118 | 0.5156 | 0.5236 | 0.5403 | 0.5753 | 0.6619 | | | >- | | 0.3249 | 0.3249 | 0.3250 | 0.3254 | 0.3266 | 0.3293 | 0.3351 | 0.3473 | 0.3723 | 0.4336 | | | | | 0.1584 | 6.1584 | 0.1584 | 0.1586 | 0.1593 | 0.1607 | 0.1638 | 0.1700 | 0.1831 | 0.2148 | | | | | 0.0000 | 0.0000 | 0.0000 | 0.0000 | O.U00O | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | | | | | ,=0-1 | 1 | 18* 1 | | | | | | [ .72° | | | | |
Таблица 34. Вспомогательная таблица для тэта-функций | 0=63 | | | | | | | | | | | 87.5 | 88 88,5 | | | О.С0 | +0.2 | +0.8 | +1.4 | +2,5 | +4.5 | +5,6 | +7.0 | +8.8 | +11.5 | +15.2 | | | + 31 | + 39 | + 52 | 1.00 | | | | | | | | | | 10.9 | 14,5 | | | | | | 0,95 | | | | | | | | | | | 12,3 | | | | | | | | | | | | | | | | | | | | | | | | | +0.1 | +0,3 | | +Р.8 | | +1.7 | +2.2 | +2,7 | + 3J | + 4.7 | | | | | | | ,25 | | | | | | | | | | | | | | | | 0,75 | | -0.1 | -0,3 | -0.4 | -0.8 | -1.4 | -1,7 | | -2.7 | - 3J | -4.7 | | | | | | | | | | | | | | | | | | | | | | | | | | | .1.1 | | | | | | | 12.3 | | | | | | | | | | | | | | | | 10,9 | 14,5 | | | | | | | ,50 | -0,2 | -0.8 | -1.4 | | -4.5 | -5,6 | -7.0 | -8.9 | -11.5 | -15,2 | | | | | | 0.50 | | | | | | | | | | 10.9 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1> | | | | | | | | | | | | | | -0.1 | -0,3 | -0.4 | -0,8 | | -1.7 | | -2,7 | - 3.6 | - 4.7 | | | | | | | ?).75 | | | | | | | | | | | | | | | | 0,25 | | +0,1 | +0.3 | +0.4 | +0,8 | +1.4 | + 1.7 | +2.2 | +2.7 | | + 4,7 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 12>1 | | | | | | | | | | | | | | | | 10,9 | 14.5 | | | | | | | 1,00 | +0,2 | +0.8 | +1.4 | +2.5 | +4.5 | +5.6 | +7,0 | +8.9 | +11Ji | +15.3 | | | | | | 0.00 |
| *=54 | | | | | | | [83 | 83.5 | | 84.5 | | 85.5 | | 86.5 | 87 2г. | 0.00 | | | | | | | | | | | | | | | | | 1.00 | | | | | | | | | | | | - 24 | - 25 | - 27 | - 30 | - 32 | - 35 | 0,95 | | | | | | | | | | | | | £9 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.25 | | | | | | | | | | | - 94 | -101 | -109 | -118 | -129 | -141 | 0.7S | | | | | | | | | | | | | 108 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.50 | | | | | | | | | | | - 72 | - 78 | - 84 | - 92 | -100 | -110 | 0.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | - 8 | - 9 | - 10 | - 11 | - 12 | - 14 | | | | | | | | | | | | + 15 | + 16 | + 17 | + 18 | + 19 | + 21 | + 23 | | 0.75 | | | | | | | -ь28 | + 32 | | | + 39 | + 42 | + 45 | + 49 | + S3 | + 58 | 0.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1.00 | | | | | | | | | | | +102 | + 110 | +119 | +130 | | +156 | 0.00 |
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