Normal Shock Wave, Mach Wave and Expansion Wave Table

Pressure, Mach number and temperature changes through normal shock waves. Prandtl-Meyer angle and Mach angle for expanding flows.
(γ = 7/5)

### Notation :

M1=Mach number of stream flow
M2=Mach number of flow after passing through normal shock wave
ν=Prandtl-Meyer angle, (deg), for expanding flow from M=1 to M1
μ=Mach angle, (deg), (sin-1(1/M1)) of minimal oblique wave for M1
P2/P1=Static pressure ratio across normal shock wave
ρ21=Density ratio across normal shock wave
T2/T1=Temperature ratio across normal shock wave
PO2/PO1=Stagnation pressure ratio across normal shock wave

 M1 ν μ M2 P2/P1 ρ2/ρ1 T2/T1 PO2/PO1 1.00 0.000 90.000 1.0000 1.000 1.0000 1.0000 1.0000 1.01 0.045 81.931 0.9901 1.023 1.0167 1.0066 1.0000 1.02 0.126 78.635 0.9805 1.047 1.0334 1.0132 1.0000 1.03 0.229 76.138 0.9712 1.071 1.0502 1.0198 1.0000 1.04 0.351 74.058 0.9620 1.095 1.0671 1.0263 0.9999 1.05 0.487 72.247 0.9531 1.120 1.0840 1.0328 0.9999 1.06 0.637 70.630 0.9444 1.144 1.1009 1.0393 0.9998 1.07 0.797 69.160 0.9360 1.169 1.1179 1.0458 0.9996 1.08 0.968 67.808 0.9277 1.194 1.1349 1.0522 0.9994 1.09 1.148 66.553 0.9196 1.219 1.1520 1.0586 0.9992 1.10 1.336 65.380 0.9118 1.245 1.1691 1.0649 0.9989 1.11 1.532 64.277 0.9041 1.271 1.1862 1.0713 0.9986 1.12 1.735 63.234 0.8966 1.297 1.2034 1.0776 0.9982 1.13 1.944 62.246 0.8892 1.323 1.2206 1.0840 0.9978 1.14 2.160 61.306 0.8820 1.350 1.2378 1.0903 0.9973 1.15 2.381 60.408 0.8750 1.376 1.2550 1.0966 0.9967 1.16 2.607 59.550 0.8682 1.403 1.2723 1.1029 0.9961 1.17 2.839 58.727 0.8615 1.430 1.2896 1.1092 0.9953 1.18 3.074 57.936 0.8549 1.458 1.3069 1.1154 0.9946 1.19 3.314 57.176 0.8485 1.485 1.3243 1.1217 0.9937 1.20 3.558 56.443 0.8422 1.513 1.3416 1.1280 0.9928 1.21 3.806 55.735 0.8360 1.541 1.3590 1.1343 0.9918 1.22 4.057 55.052 0.8300 1.570 1.3764 1.1405 0.9907 1.23 4.312 54.391 0.8241 1.598 1.3938 1.1468 0.9896 1.24 4.569 53.751 0.8183 1.627 1.4112 1.1531 0.9884 1.25 4.830 53.130 0.8126 1.656 1.4286 1.1594 0.9871 1.26 5.093 52.528 0.8071 1.686 1.4460 1.1657 0.9857 1.27 5.359 51.943 0.8016 1.715 1.4634 1.1720 0.9842 1.28 5.627 51.375 0.7963 1.745 1.4808 1.1783 0.9827 1.29 5.898 50.823 0.7911 1.775 1.4983 1.1846 0.9811 1.30 6.170 50.285 0.7860 1.805 1.5157 1.1909 0.9794 1.31 6.445 49.761 0.7809 1.835 1.5331 1.1972 0.9776 1.32 6.721 49.251 0.7760 1.866 1.5505 1.2035 0.9758 1.33 7.000 48.753 0.7712 1.897 1.5680 1.2099 0.9738 1.34 7.279 48.268 0.7664 1.928 1.5854 1.2162 0.9718 1.35 7.561 47.795 0.7618 1.960 1.6028 1.2226 0.9697 1.36 7.844 47.332 0.7572 1.991 1.6202 1.2290 0.9676 1.37 8.128 46.880 0.7527 2.023 1.6376 1.2354 0.9653 1.38 8.413 46.439 0.7483 2.055 1.6549 1.2418 0.9630 1.39 8.699 46.007 0.7440 2.087 1.6723 1.2482 0.9607 1.40 8.987 45.585 0.7397 2.120 1.6897 1.2547 0.9582 1.41 9.276 45.171 0.7355 2.153 1.7070 1.2612 0.9557 1.42 9.565 44.767 0.7314 2.186 1.7243 1.2676 0.9531 1.43 9.855 44.371 0.7274 2.219 1.7416 1.2741 0.9504 1.44 10.146 43.983 0.7235 2.253 1.7589 1.2807 0.9473 1.45 10.438 43.603 0.7196 2.286 1.7761 1.2872 0.9448 1.46 10.731 43.230 0.7157 2.320 1.7934 1.2938 0.9420 1.47 11.023 42.865 0.7120 2.354 1.8106 1.3003 0.9390 1.48 11.317 42.507 0.7083 2.389 1.8278 1.3069 0.9360 1.49 11.611 42.155 0.7047 2.423 1.8449 1.3136 0.9329 1.50 11.905 41.810 0.7011 2.458 1.8621 1.3202 0.9298 1.51 12.200 41.472 0.6976 2.493 1.8792 1.3269 0.9266 1.52 12.495 41.140 0.6941 2.529 1.8963 1.3336 0.9233 1.53 12.790 40.813 0.6907 2.564 1.9133 1.3403 0.9200 1.54 13.086 40.493 0.6874 2.600 1.9303 1.3470 0.9166 1.55 13.381 40.178 0.6841 2.636 1.9473 1.3538 0.9132 1.56 13.677 39.868 0.6809 2.673 1.9643 1.3606 0.9097 1.57 13.973 39.564 0.6777 2.709 1.9812 1.3674 0.9062 1.58 14.269 39.265 0.6746 2.746 1.9981 1.3742 0.9026 1.59 14.565 38.971 0.6715 2.783 2.0149 1.3811 0.8989 1.60 14.860 38.682 0.6684 2.820 2.0317 1.3880 0.8952 1.61 15.156 38.398 0.6655 2.857 2.0485 1.3949 0.8915 1.62 15.452 38.118 0.6625 2.895 2.0653 1.4018 0.8877 1.63 15.747 37.843 0.6596 2.933 2.0820 1.4088 0.8838 1.64 16.043 37.572 0.6568 2.971 2.0986 1.4158 0.8799 1.65 16.338 37.305 0.6540 3.010 2.1152 1.4228 0.8760 1.66 16.633 37.043 0.6512 3.048 2.1318 1.4299 0.8720 1.67 16.928 36.784 0.6485 3.087 2.1484 1.4369 0.8680 1.68 17.222 36.530 0.6458 3.126 2.1649 1.4440 0.8639 1.69 17.516 36.279 0.6431 3.165 2.1813 1.4512 0.8599 1.70 17.810 36.032 0.6405 3.205 2.1977 1.4583 0.8557 1.71 18.103 35.789 0.6380 3.245 2.2141 1.4655 0.8516 1.72 18.396 35.549 0.6355 3.285 2.2304 1.4727 0.8474 1.73 18.689 35.312 0.6330 3.325 2.2467 1.4800 0.8431 1.74 18.981 35.080 0.6305 3.366 2.2629 1.4873 0.8389 1.75 19.273 34.850 0.6281 3.406 2.2791 1.4946 0.8346 1.76 19.565 34.624 0.6257 3.447 2.2952 1.5019 0.8302 1.77 19.855 34.400 0.6234 3.488 2.3113 1.5093 0.8259 1.78 20.146 34.180 0.6210 3.530 2.3273 1.5167 0.8215 1.79 20.436 33.963 0.6188 3.571 2.3433 1.5241 0.8171 1.80 20.725 33.749 0.6165 3.613 2.3592 1.5316 0.8127 1.81 21.014 33.538 0.6143 3.655 2.3751 1.5391 0.8082 1.82 21.302 33.329 0.6121 3.698 2.3909 1.5466 0.8038 1.83 21.590 33.124 0.6099 3.740 2.4067 1.5541 0.7993 1.84 21.877 32.921 0.6078 3.783 2.4224 1.5617 0.7948 1.85 22.163 32.720 0.6057 3.826 2.4381 1.5693 0.7902 1.86 22.449 32.523 0.6036 3.870 2.4537 1.5770 0.7857 1.87 22.734 32.328 0.6016 3.913 2.4693 1.5847 0.7811 1.88 23.019 32.135 0.5996 3.957 2.4848 1.5924 0.7765 1.89 23.303 31.945 0.5976 4.001 2.5003 1.6001 0.7720 1.90 23.586 31.757 0.5956 4.045 2.5157 1.6079 0.7674 1.91 23.869 31.571 0.5937 4.089 2.5310 1.6157 0.7627 1.92 24.151 31.388 0.5918 4.134 2.5463 1.6236 0.7581 1.93 24.432 31.207 0.5899 4.179 2.5616 1.6314 0.7535 1.94 24.712 31.028 0.5880 4.224 2.5767 1.6394 0.7488 1.95 24.992 30.852 0.5862 4.270 2.5919 1.6473 0.7442 1.96 25.271 30.677 0.5844 4.315 2.6069 1.6553 0.7395 1.97 25.549 30.505 0.5826 4.361 2.6220 1.6633 0.7349 1.98 25.827 30.335 0.5808 4.407 2.6369 1.6713 0.7302 1.99 26.104 30.166 0.5791 4.453 2.6518 1.6794 0.7255 2.00 26.380 30.000 0.5774 4.500 2.6667 1.6875 0.7209 2.01 26.655 29.836 0.5757 4.547 2.6815 1.6956 0.7162 2.02 26.930 29.673 0.5740 4.594 2.6962 1.7038 0.7115 2.03 27.203 29.512 0.5723 4.641 2.7109 1.7120 0.7069 2.04 27.476 29.353 0.5707 4.689 2.7255 1.7203 0.7022 2.05 27.748 29.196 0.5691 4.736 2.7400 1.7285 0.6975 2.06 28.020 29.041 0.5675 4.784 2.7545 1.7369 0.6928 2.07 28.290 28.888 0.5659 4.832 2.7689 1.7452 0.6882 2.08 28.560 28.736 0.5643 4.881 2.7833 1.7536 0.6835 2.09 28.829 28.585 0.5628 4.929 2.7976 1.7620 0.6789 2.10 29.097 28.437 0.5613 4.978 2.8119 1.7705 0.6742 2.11 29.364 28.290 0.5598 5.027 2.8261 1.7789 0.6696 2.12 29.631 28.145 0.5583 5.077 2.8402 1.7875 0.6649 2.13 29.896 28.001 0.5568 5.126 2.8543 1.7960 0.6603 2.14 30.161 27.859 0.5554 5.176 2.8683 1.8046 0.6557 2.15 30.425 27.718 0.5540 5.226 2.8823 1.8132 0.6511 2.16 30.688 27.578 0.5525 5.277 2.8962 1.8219 0.6464 2.17 30.951 27.441 0.5511 5.327 2.9101 1.8306 0.6419 2.18 31.212 27.304 0.5498 5.378 2.9238 1.8393 0.6373 2.19 31.473 27.169 0.5484 5.429 2.9376 1.8481 0.6327 2.20 21.732 27.036 0.5471 5.480 2.9512 1.8569 0.6281 2.21 31.991 26.903 0.5457 5.531 2.9648 1.8657 0.6236 2.22 32.249 26.773 0.5444 5.583 2.9784 1.8746 0.6191 2.23 32.507 26.643 0.5431 5.635 2.9918 1.8835 0.6145 2.24 32.763 26.515 0.5418 5.687 3.0053 1.8924 0.6100 2.25 33.018 26.388 0.5406 5.740 3.0186 1.9014 0.6055 2.26 33.273 26.262 0.5393 5.792 3.0319 1.9104 0.6011 2.27 33.527 26.138 0.5381 5.845 3.0452 1.9194 0.5966 2.28 33.780 26.014 0.5368 5.898 3.0584 1.9285 0.5921 2.29 34.032 25.892 0.5356 5.951 3.0715 1.9376 0.5877 2.30 34.283 25.771 0.5344 6.005 3.0845 1.9468 0.5833 2.31 34.533 25.652 0.5332 6.059 3.0976 1.9560 0.5789 2.32 34.782 25.533 0.5321 6.113 3.1105 1.9652 0.5745 2.33 35.031 25.416 0.5309 6.167 3.1234 1.9745 0.5702 2.34 35.279 25.300 0.5297 6.222 3.1362 1.9838 0.5658 2.35 35.526 25.184 0.5286 6.276 3.1490 1.9931 0.5615 2.36 35.771 25.070 0.5275 6.331 3.1617 2.0025 0.5572 2.37 36.017 24.957 0.5264 6.386 3.1743 2.0119 0.5529 2.38 36.261 24.845 0.5253 6.442 3.1869 2.0213 0.5486 2.39 36.504 24.734 0.5242 6.497 3.1994 2.0308 0.5444 2.40 36.747 24.624 0.5231 6.553 3.2119 2.0403 0.5401 2.41 36.988 24.515 0.5221 6.609 3.2243 2.0499 0.5359 2.42 37.229 24.407 0.5210 6.666 3.2367 2.0595 0.5317 2.43 37.469 24.301 0.5200 6.722 3.2489 2.0691 0.5276 2.44 37.708 24.195 0.5189 6.779 3.2612 2.0788 0.5234 2.45 37.946 24.090 0.5179 6.836 3.2733 2.0885 0.5193 2.46 38.183 23.985 0.5169 6.894 3.2855 2.0982 0.5152 2.47 38.420 23.882 0.5159 6.951 3.2975 2.1080 0.5111 2.48 38.655 23.780 0.5149 7.009 3.3095 2.1178 0.5071 2.49 38.890 23.679 0.5140 7.067 3.3215 2.1276 0.5030 2.50 39.124 23.578 0.5130 7.125 3.3333 2.1375 0.4990 2.51 39.357 23.479 0.5120 7.183 3.3452 2.1474 0.4950 2.52 39.589 23.380 0.5111 7.242 3.3569 2.1574 0.4911 2.53 39.820 23.282 0.5102 7.301 3.3686 2.1674 0.4871 2.54 40.050 23.185 0.5092 7.360 3.3803 2.1774 0.4832 2.55 40.280 23.089 0.5083 7.420 3.3919 2.1875 0.4793 2.56 40.508 22.993 0.5074 7.479 3.4034 2.1976 0.4754 2.57 40.736 22.899 0.5065 7.539 3.4149 2.2077 0.4715 2.58 40.963 22.805 0.5056 7.599 3.4263 2.2179 0.4677 2.59 41.189 22.712 0.5047 7.659 3.4377 2.2281 0.4639 2.60 41.415 22.620 0.5039 7.720 3.4490 2.2383 0.4601 2.61 41.639 22.528 0.5030 7.781 3.4602 2.2486 0.4564 2.62 41.863 22.438 0.5022 7.842 3.4714 2.2590 0.4526 2.63 42.086 22.348 0.5013 7.903 3.4826 2.2693 0.4489 2.64 42.307 22.259 0.5005 7.965 3.4937 2.2797 0.4452 2.65 42.529 22.170 0.4996 8.026 3.5047 2.2902 0.4416 2.66 42.749 22.082 0.4988 8.088 3.5157 2.3006 0.4379 2.67 42.968 21.995 0.4980 8.150 3.5266 2.3111 0.4343 2.68 43.187 21.909 0.4972 8.213 3.5374 2.3217 0.4307 2.69 43.405 21.823 0.4964 8.275 3.5482 2.3323 0.4271 2.70 43.621 21.738 0.4956 8.338 3.5590 2.3429 0.4236 2.71 43.838 21.654 0.4949 8.401 3.5697 2.3536 0.4201 2.72 44.053 21.571 0.4941 8.465 3.5803 2.3642 0.4166 2.73 44.267 21.488 0.4933 8.528 3.5909 2.3750 0.4131 2.74 44.481 21.405 0.4926 8.592 3.6015 2.3858 0.4097 2.75 44.694 21.324 0.4918 8.656 3.6119 2.3966 0.4062 2.76 44.906 21.243 0.4911 8.721 3.6224 2.4074 0.4028 2.77 45.117 21.162 0.4903 8.785 3.6327 2.4183 0.3994 2.78 45.327 21.083 0.4896 8.850 3.6431 2.4292 0.3961 2.79 45.537 21.003 0.4889 8.915 3.6533 2.4402 0.3928 2.80 45.746 20.925 0.4882 8.980 3.6636 2.4512 0.3895 2.81 45.954 20.847 0.4875 9.045 3.6737 2.4622 0.3862 2.82 46.161 20.770 0.4868 9.111 3.6838 2.4733 0.3829 2.83 46.368 20.693 0.4861 9.177 3.6939 2.4844 0.3797 2.84 46.573 20.617 0.4854 9.243 3.7039 2.4955 0.3765 2.85 46.778 20.541 0.4847 9.310 3.7139 2.5067 0.3733 2.86 46.982 20.466 0.4840 9.376 3.7238 2.5179 0.3701 2.87 47.185 20.391 0.4833 9.443 3.7336 2.5292 0.3670 2.88 47.388 20.318 0.4827 9.510 3.7434 2.5405 0.3639 2.89 47.589 20.244 0.4820 9.577 3.7532 2.5518 0.3608 2.90 47.790 20.171 0.4814 9.645 3.7629 2.5632 0.3577 2.91 47.990 20.099 0.4807 9.713 3.7725 2.5746 0.3547 2.92 48.190 20.027 0.4801 9.781 3.7821 2.5861 0.3517 2.93 48.388 19.956 0.4795 9.849 3.7917 2.5976 0.3487 2.94 48.586 19.885 0.4788 9.918 3.8012 2.6091 0.3457 2.95 48.783 19.815 0.4782 9.986 3.8106 2.6206 0.3428 2.96 48.980 19.745 0.4776 10.05 3.8200 2.6322 0.3398 2.97 49.175 19.676 0.4770 10.12 3.8294 2.6439 0.3369 2.98 49.370 19.607 0.4764 10.19 3.8387 2.6555 0.3340 2.99 49.564 19.539 0.4758 10.26 3.8479 2.6673 0.3312 3.00 49.757 19.471 0.4752 10.33 3.8571 2.6790 0.3283 3.02 50.142 19.337 0.4740 10.47 3.8754 2.7026 0.3227 3.04 50.523 19.205 0.4729 10.61 3.8935 2.7264 0.3172 3.06 50.902 19.075 0.4717 10.75 3.9114 2.7503 0.3118 3.08 51.277 18.946 0.4706 10.90 3.9291 2.7744 0.3065 3.10 51.650 18.819 0.4695 11.04 3.9466 2.7986 0.3012 3.12 52.020 18.694 0.4685 11.19 3.9639 2.8230 0.2960 3.14 52.386 18.571 0.4674 11.33 3.9811 2.8475 0.2910 3.16 52.751 18.449 0.4664 11.48 3.9981 2.8722 0.2860 3.18 53.112 18.329 0.4654 11.63 4.0149 2.8970 0.2811 3.20 53.470 18.210 0.4643 11.78 4.0315 2.9220 0.2762 3.22 53.826 18.093 0.4634 11.93 4.0479 2.9471 0.2715 3.24 54.179 17.977 0.4624 12.08 4.0642 2.9724 0.2668 3.26 54.529 17.863 0.4614 12.23 4.0803 2.9979 0.2622 3.28 54.877 17.751 0.4605 12.38 4.0963 3.0234 0.2577 3.30 55.222 17.640 0.4596 12.53 4.1120 3.0492 0.2533 3.32 55.564 17.530 0.4587 12.69 4.1276 3.0751 0.2489 3.34 55.904 17.422 0.4578 12.84 4.1431 3.1011 0.2446 3.36 56.241 17.315 0.4569 13.00 4.1583 3.1273 0.2404 3.38 56.576 17.209 0.4560 13.16 4.1734 3.1537 0.2363 3.40 56.908 17.105 0.4552 13.32 4.1884 3.1802 0.2322 3.42 57.237 17.002 0.4544 13.47 4.2032 3.2069 0.2282 3.44 57.564 16.900 0.4535 13.63 4.2179 3.2337 0.2243 3.46 57.888 16.799 0.4527 13.80 4.2323 3.2607 0.2205 3.48 58.210 16.700 0.4519 13.96 4.2467 3.2878 0.2167 3.50 58.530 16.602 0.4512 14.12 4.2609 3.3151 0.2129 3.52 58.847 16.505 0.4504 14.28 4.2749 3.3425 0.2093 3.54 59.162 16.409 0.4496 14.45 4.2888 3.3701 0.2057 3.56 59.474 16.314 0.4489 14.61 4.3026 3.3978 0.2022 3.58 59.784 16.220 0.4481 14.78 4.3162 3.4257 0.1987 3.60 60.091 16.128 0.4474 14.95 4.3296 3.4537 0.1953 3.62 60.397 16.036 0.4467 15.12 4.3429 3.4819 0.1920 3.64 60.700 15.946 0.4460 15.29 4.3561 3.5103 0.1887 3.66 61.001 15.856 0.4453 15.46 4.3692 3.5388 0.1855 3.68 61.299 15.768 0.4446 15.63 4.3821 3.5674 0.1823 3.70 61.595 15.680 0.4439 15.80 4.3949 3.5962 0.1792 3.72 61.889 15.594 0.4433 15.97 4.4075 3.6252 0.1761 3.74 62.181 15.508 0.4426 16.15 4.4200 3.6543 0.1731 3.76 62.471 15.424 0.4420 16.32 4.4324 3.6836 0.1702 3.78 62.758 15.340 0.4414 16.50 4.4447 3.7130 0.1673 3.80 63.044 15.258 0.4407 16.68 4.4568 3.7426 0.1645 3.82 63.327 15.176 0.4401 16.85 4.4688 3.7723 0.1617 3.84 63.608 15.095 0.4395 17.03 4.4807 3.8022 0.1589 3.86 63.887 15.015 0.4389 17.21 4.4924 3.8323 0.1563 3.88 64.164 14.936 0.4383 17.39 4.5041 3.8625 0.1536 3.90 64.440 14.857 0.4377 17.57 4.5156 3.8928 0.1510 3.92 64.713 14.780 0.4372 17.76 4.5270 3.9233 0.1485 3.94 64.984 14.703 0.4366 17.94 4.5383 3.9540 0.1460 3.96 65.253 14.627 0.4360 18.12 4.5494 3.9848 0.1435 3.98 65.520 14.552 0.4355 18.31 4.5605 4.0158 0.1411 4.00 65.785 14.478 0.4350 18.50 4.5714 4.0469 0.1388 4.05 66.439 14.295 0.4336 18.97 4.5983 4.1254 0.1330 4.10 67.082 14.117 0.4324 19.44 4.6245 4.2048 0.1276 4.15 67.713 13.943 0.4311 19.92 4.6500 4.2852 0.1223 4.20 68.333 13.774 0.4299 20.41 4.6749 4.3666 0.1173 4.25 68.942 13.609 0.4288 20.90 4.6992 4.4489 0.1126 4.30 69.541 13.448 0.4277 21.40 4.7229 4.5322 0.1080 4.35 70.129 13.290 0.4266 21.91 4.7460 4.6165 0.1036 4.40 70.706 13.137 0.4255 22.42 4.7685 4.7017 9.948 -2 4.45 71.274 12.986 0.4245 22.93 4.7904 4.7879 9.550 -2 4.50 71.832 12.840 0.4236 23.45 4.8119 4.8751 9.170 -2 4.55 72.380 12.696 0.4226 23.98 4.8328 4.9632 8.806 -2 4.60 72.919 12.556 0.4217 24.52 4.8532 5.0523 8.459 -2 4.65 73.449 12.419 0.4208 25.06 4.8731 5.1424 8.126 -2 4.70 73.970 12.284 0.4199 25.60 4.8926 5.2334 7.809 -2 4.75 74.482 12.153 0.4191 26.15 4.9116 5.3254 7.505 -2 4.80 74.986 12.025 0.4183 26.71 4.9301 5.4184 7.214 -2 4.85 75.482 11.899 0.4175 27.27 4.9482 5.5124 6.936 -2 4.90 75.969 11.776 0.4167 27.84 4.9659 5.6073 6.670 -2 4.95 76.449 11.655 0.4160 28.42 4.9831 5.7032 6.415 -2 5.00 76.920 11.537 0.4152 29.00 5.0000 5.8000 6.172 -2 5.10 77.841 11.308 0.4138 30.17 5.0326 5.9966 5.715 -2 5.20 78.732 11.087 0.4125 31.38 5.0637 6.1971 5.297 -2 5.30 79.596 10.876 0.4113 32.60 5.0934 6.4014 4.913 -2 5.40 80.433 10.672 0.4101 33.85 5.1218 6.6097 4.560 -2 5.50 81.245 10.476 0.4090 35.12 5.1489 6.8218 4.236 -2 5.60 82.032 10.287 0.4079 36.42 5.1749 7.0378 3.938 -2 5.70 82.796 10.104 0.4069 37.73 5.1998 7.2577 3.664 -2 5.80 83.537 9.928 0.4059 39.08 5.2236 7.4814 3.412 -2 5.90 84.256 9.758 0.4050 40.44 5.2464 7.7091 3.179 -2 6.00 84.955 9.594 0.4042 41.83 5.2683 7.9406 2.965 -2