Anisotropic Reflectance Factor of the snow surface measured at South Pole Station from 1990-1992. These ARF measurements correspond to figures in: Warren, S.G., R.E. Brandt, and P. O'Rawe Hinton. Effect of surface roughness on bidirectional reflectance of Antarctic snow. J. Geophys. Res. (Planets), 103, 25,789-25,807. 1998 Figure3a 22.5 120 0.9539 22.5 135 0.9564 22.5 150 0.9603 22.5 165 0.9653 22.5 -180 0.9646 22.5 -165 0.9653 22.5 -150 0.9603 22.5 -135 0.9564 22.5 -120 0.9539 22.5 -105 0.9430 22.5 -90 0.9367 22.5 -75 0.9349 22.5 -60 0.9348 22.5 -45 0.9325 22.5 -30 0.9250 22.5 30 0.9250 22.5 45 0.9325 22.5 60 0.9348 22.5 75 0.9349 22.5 90 0.9367 22.5 105 0.9430 37.5 120 0.9832 37.5 135 1.0031 37.5 150 1.0179 37.5 165 1.0297 37.5 -180 1.0191 37.5 -165 1.0297 37.5 -150 1.0179 37.5 -135 1.0031 37.5 -120 0.9832 37.5 -105 0.9612 37.5 -90 0.9543 37.5 -75 0.9431 37.5 -60 0.9381 37.5 -45 0.9329 37.5 -30 0.9265 37.5 -15 0.8979 37.5 15 0.8979 37.5 30 0.9265 37.5 45 0.9329 37.5 60 0.9381 37.5 75 0.9431 37.5 90 0.9543 37.5 105 0.9612 52.5 120 1.0227 52.5 135 1.0452 52.5 150 1.0669 52.5 165 1.0802 52.5 -180 1.0783 52.5 -165 1.0802 52.5 -150 1.0669 52.5 -135 1.0452 52.5 -120 1.0227 52.5 -105 0.9952 52.5 -90 0.9859 52.5 -75 0.9699 52.5 -60 0.9583 52.5 -45 0.9606 52.5 -30 0.9664 52.5 -15 0.9587 52.5 15 0.9587 52.5 30 0.9664 52.5 45 0.9606 52.5 60 0.9583 52.5 75 0.9699 52.5 90 0.9859 52.5 105 0.9952 67.5 120 1.0877 67.5 135 1.1363 67.5 150 1.1862 67.5 165 1.2205 67.5 -180 1.2459 67.5 -165 1.2205 67.5 -150 1.1862 67.5 -135 1.1363 67.5 -120 1.0877 67.5 -105 1.0559 67.5 -90 1.0190 67.5 -75 1.0050 67.5 -60 0.9955 67.5 -45 0.9895 67.5 -30 0.9948 67.5 -15 1.0126 67.5 15 1.0126 67.5 30 0.9948 67.5 45 0.9895 67.5 60 0.9955 67.5 75 1.0050 67.5 90 1.0190 67.5 105 1.0559 82.5 120 1.1884 82.5 135 1.2893 82.5 150 1.4111 82.5 165 1.5673 82.5 -180 1.6616 82.5 -165 1.5673 82.5 -150 1.4111 82.5 -135 1.2893 82.5 -120 1.1884 82.5 -105 1.1227 82.5 -90 1.0661 82.5 -75 1.0378 82.5 -60 1.0226 82.5 -45 1.0263 82.5 -30 1.0340 82.5 -15 1.0551 82.5 -0 1.0707 82.5 15 1.0551 82.5 30 1.0340 82.5 45 1.0263 82.5 60 1.0226 82.5 75 1.0378 82.5 90 1.0661 82.5 105 1.1227 Figure3b 22.5 -165 0.9496 22.5 -150 0.9265 22.5 -135 0.9131 22.5 -120 0.9006 22.5 -105 0.9037 22.5 -90 0.8845 22.5 -75 0.8638 22.5 -60 0.8636 22.5 -45 0.8753 22.5 -30 0.8734 22.5 30 0.8734 22.5 45 0.8753 22.5 60 0.8636 22.5 75 0.8638 22.5 90 0.8845 22.5 105 0.9037 22.5 120 0.9006 22.5 135 0.9131 22.5 150 0.9265 22.5 165 0.9496 22.5 -180 0.9666 37.5 -165 1.0682 37.5 -150 1.0379 37.5 -135 0.9982 37.5 -120 0.9425 37.5 -105 0.9194 37.5 -90 0.8997 37.5 -75 0.8802 37.5 -60 0.8796 37.5 -45 0.8647 37.5 -30 0.8478 37.5 -15 0.8321 37.5 15 0.8321 37.5 30 0.8478 37.5 45 0.8647 37.5 60 0.8796 37.5 75 0.8802 37.5 90 0.8997 37.5 105 0.9194 37.5 120 0.9425 37.5 135 0.9982 37.5 150 1.0379 37.5 165 1.0682 37.5 -180 1.0880 52.5 -165 1.2220 52.5 -150 1.1427 52.5 -135 1.0811 52.5 -120 1.0033 52.5 -105 0.9693 52.5 -90 0.9303 52.5 -75 0.8948 52.5 -60 0.8909 52.5 -45 0.8800 52.5 -30 0.8879 52.5 -15 0.8877 52.5 15 0.8877 52.5 30 0.8879 52.5 45 0.8800 52.5 60 0.8909 52.5 75 0.8948 52.5 90 0.9303 52.5 105 0.9693 52.5 120 1.0033 52.5 135 1.0811 52.5 150 1.1427 52.5 165 1.2220 52.5 -180 1.2455 67.5 -165 1.5252 67.5 -150 1.3505 67.5 -135 1.2334 67.5 -120 1.1257 67.5 -105 1.0581 67.5 -90 0.9899 67.5 -75 0.9421 67.5 -60 0.9322 67.5 -45 0.9340 67.5 -30 0.9542 67.5 -15 0.9921 67.5 15 0.9921 67.5 30 0.9542 67.5 45 0.9340 67.5 60 0.9322 67.5 75 0.9421 67.5 90 0.9899 67.5 105 1.0581 67.5 120 1.1257 67.5 135 1.2334 67.5 150 1.3505 67.5 165 1.5252 67.5 -180 1.6540 82.5 -165 2.6051 82.5 -150 1.8237 82.5 -135 1.4515 82.5 -120 1.2675 82.5 -105 1.1674 82.5 -90 1.0902 82.5 -75 1.0504 82.5 -60 1.0405 82.5 -45 1.0681 82.5 -30 1.1046 82.5 -15 1.1450 82.5 15 1.1450 82.5 30 1.1046 82.5 45 1.0681 82.5 60 1.0405 82.5 75 1.0504 82.5 90 1.0902 82.5 105 1.1674 82.5 120 1.2675 82.5 135 1.4515 82.5 150 1.8237 82.5 165 2.6051 82.5 -180 3.0050 Figure4a 22.5 135 0.9265 22.5 150 0.9332 22.5 165 0.9505 22.5 180 0.9586 22.5 -165 0.9505 22.5 -150 0.9332 22.5 -135 0.9265 22.5 -120 0.9232 22.5 -105 0.9060 22.5 -90 0.9077 22.5 -75 0.9159 22.5 -60 0.9127 22.5 -45 0.9280 22.5 -30 0.9239 22.5 30 0.9239 22.5 45 0.9280 22.5 60 0.9127 22.5 75 0.9159 22.5 90 0.9077 22.5 105 0.9060 22.5 120 0.9232 37.5 135 1.0000 37.5 150 1.0353 37.5 165 1.0663 37.5 180 1.0834 37.5 -165 1.0663 37.5 -150 1.0353 37.5 -135 1.0000 37.5 -120 0.9697 37.5 -105 0.9441 37.5 -90 0.9290 37.5 -75 0.9172 37.5 -60 0.9114 37.5 -45 0.9120 37.5 -30 0.9031 37.5 -15 0.8680 37.5 15 0.8680 37.5 30 0.9031 37.5 45 0.9120 37.5 60 0.9114 37.5 75 0.9172 37.5 90 0.9290 37.5 105 0.9441 37.5 120 0.9697 52.5 135 1.0674 52.5 150 1.1214 52.5 165 1.1664 52.5 180 1.1985 52.5 -165 1.1664 52.5 -150 1.1214 52.5 -135 1.0674 52.5 -120 1.0153 52.5 -105 0.9737 52.5 -90 0.9469 52.5 -75 0.9393 52.5 -60 0.9363 52.5 -45 0.9341 52.5 -30 0.9352 52.5 -15 0.9234 52.5 15 0.9234 52.5 30 0.9352 52.5 45 0.9341 52.5 60 0.9363 52.5 75 0.9393 52.5 90 0.9469 52.5 105 0.9737 52.5 120 1.0153 67.5 135 1.1494 67.5 150 1.2582 67.5 165 1.3971 67.5 180 1.4979 67.5 -165 1.3971 67.5 -150 1.2582 67.5 -135 1.1494 67.5 -120 1.0338 67.5 -105 1.0234 67.5 -90 0.9916 67.5 -75 0.9703 67.5 -60 0.9692 67.5 -45 0.9590 67.5 -30 0.9920 67.5 -15 1.0034 67.5 15 1.0034 67.5 30 0.9920 67.5 45 0.9590 67.5 60 0.9692 67.5 75 0.9703 67.5 90 0.9916 67.5 105 1.0234 67.5 120 1.0338 82.5 135 1.2410 82.5 150 1.4862 82.5 165 2.0391 82.5 180 2.6265 82.5 -165 2.0391 82.5 -150 1.4862 82.5 -135 1.2410 82.5 -120 1.1315 82.5 -105 1.0679 82.5 -90 1.0297 82.5 -75 1.0098 82.5 -60 1.0123 82.5 -45 1.0296 82.5 -30 1.0617 82.5 -15 1.0869 82.5 -0 1.1093 82.5 15 1.0869 82.5 30 1.0617 82.5 45 1.0296 82.5 60 1.0123 82.5 75 1.0098 82.5 90 1.0297 82.5 105 1.0679 82.5 120 1.1315 Figure4b 22.5 165 0.9218 22.5 180 0.9158 22.5 -165 0.9218 22.5 -150 0.9137 22.5 -135 0.8988 22.5 -120 0.8925 22.5 -105 0.8817 22.5 -90 0.8865 22.5 -75 0.8911 22.5 -60 0.8928 22.5 -45 0.9026 22.5 -30 0.8870 22.5 30 0.8870 22.5 45 0.9026 22.5 60 0.8928 22.5 75 0.8911 22.5 90 0.8865 22.5 105 0.8817 22.5 120 0.8925 22.5 135 0.8988 22.5 150 0.9137 37.5 165 1.0834 37.5 180 1.0951 37.5 -165 1.0834 37.5 -150 1.0501 37.5 -135 1.0085 37.5 -120 0.9591 37.5 -105 0.9333 37.5 -90 0.8998 37.5 -75 0.8928 37.5 -60 0.8809 37.5 -45 0.8747 37.5 -30 0.8849 37.5 -15 0.8928 37.5 15 0.8928 37.5 30 0.8849 37.5 45 0.8747 37.5 60 0.8809 37.5 75 0.8928 37.5 90 0.8998 37.5 105 0.9333 37.5 120 0.9591 37.5 135 1.0085 37.5 150 1.0501 52.5 165 1.2158 52.5 180 1.2462 52.5 -165 1.2158 52.5 -150 1.1574 52.5 -135 1.0875 52.5 -120 1.0114 52.5 -105 0.9695 52.5 -90 0.9445 52.5 -75 0.9348 52.5 -60 0.9228 52.5 -45 0.9210 52.5 -30 0.9282 52.5 -15 0.9327 52.5 15 0.9327 52.5 30 0.9282 52.5 45 0.9210 52.5 60 0.9228 52.5 75 0.9348 52.5 90 0.9445 52.5 105 0.9695 52.5 120 1.0114 52.5 135 1.0875 52.5 150 1.1574 67.5 165 1.4135 67.5 180 1.5134 67.5 -165 1.4135 67.5 -150 1.2560 67.5 -135 1.1606 67.5 -120 1.0989 67.5 -105 1.0314 67.5 -90 1.0063 67.5 -75 0.9833 67.5 -60 0.9882 67.5 -45 1.0033 67.5 -30 1.0280 67.5 -15 1.0399 67.5 15 1.0399 67.5 30 1.0280 67.5 45 1.0033 67.5 60 0.9882 67.5 75 0.9833 67.5 90 1.0063 67.5 105 1.0314 67.5 120 1.0989 67.5 135 1.1606 67.5 150 1.2560 82.5 165 1.9046 82.5 180 2.4163 82.5 -165 1.9046 82.5 -150 1.4561 82.5 -135 1.2465 82.5 -120 1.1445 82.5 -105 1.1156 82.5 -90 1.0851 82.5 -75 1.0721 82.5 -60 1.0905 82.5 -45 1.1101 82.5 -30 1.1448 82.5 -15 1.1532 82.5 -0 1.1694 82.5 15 1.1532 82.5 30 1.1448 82.5 45 1.1101 82.5 60 1.0905 82.5 75 1.0721 82.5 90 1.0851 82.5 105 1.1156 82.5 120 1.1445 82.5 135 1.2465 82.5 150 1.4561 Figure5-0330.dat 22.5 165 0.9326 22.5 -180 0.9455 22.5 -165 0.9824 22.5 -150 0.9340 22.5 -135 0.8501 22.5 -120 0.8814 22.5 -105 0.8778 22.5 -90 0.9008 22.5 -75 0.9294 22.5 -60 0.9000 22.5 -45 0.8704 22.5 -30 0.8704 22.5 30 0.9132 22.5 45 0.9528 22.5 60 0.9344 22.5 75 0.9068 22.5 90 0.8653 22.5 105 0.8505 22.5 120 0.8671 22.5 135 0.9206 22.5 150 0.9289 37.5 165 1.0496 37.5 -180 1.1045 37.5 -165 1.0528 37.5 -150 1.0445 37.5 -135 1.0409 37.5 -120 0.9893 37.5 -105 0.9340 37.5 -90 0.8695 37.5 -75 0.8658 37.5 -60 0.8842 37.5 -45 0.9165 37.5 -30 0.9340 37.5 -15 0.9266 37.5 15 0.8962 37.5 30 0.8930 37.5 45 0.8653 37.5 60 0.8570 37.5 75 0.9022 37.5 90 0.9768 37.5 105 0.9695 37.5 120 1.0008 37.5 135 0.9796 37.5 150 0.9888 52.5 165 1.2054 52.5 -180 1.2541 52.5 -165 1.2256 52.5 -150 1.1505 52.5 -135 1.1192 52.5 -120 1.0695 52.5 -105 0.9856 52.5 -90 0.9810 52.5 -75 0.9644 52.5 -60 0.9496 52.5 -45 0.9534 52.5 -30 0.9441 52.5 -15 0.9589 52.5 15 0.9294 52.5 30 0.9059 52.5 45 0.9022 52.5 60 0.9012 52.5 75 0.9528 52.5 90 0.9520 52.5 105 0.9713 52.5 120 1.0082 52.5 135 1.0496 52.5 150 1.1298 67.5 165 1.4256 67.5 -180 1.5559 67.5 -165 1.4206 67.5 -150 1.3146 67.5 -135 1.2483 67.5 -120 1.1782 67.5 -105 1.0833 67.5 -90 1.0261 67.5 -75 1.0215 67.5 -60 1.0169 67.5 -45 1.0031 67.5 -30 1.0050 67.5 -15 1.0133 67.5 15 0.9962 67.5 30 1.0008 67.5 45 0.9612 67.5 60 0.9446 67.5 75 0.9713 67.5 90 0.9888 67.5 105 1.0017 67.5 120 1.0570 67.5 135 1.1095 67.5 150 1.2229 82.5 165 1.6485 82.5 -180 2.2770 82.5 -165 1.6198 82.5 -150 1.5911 82.5 -135 1.4077 82.5 -120 1.2833 82.5 -105 1.1764 82.5 -90 1.1063 82.5 -75 1.0649 82.5 -60 1.0648 82.5 -45 1.0704 82.5 -30 1.0695 82.5 -15 1.0824 82.5 0 1.0640 82.5 15 1.0612 82.5 30 0.9906 82.5 45 0.9851 82.5 60 0.9418 82.5 75 0.9160 82.5 90 0.9179 82.5 105 0.9519 82.5 120 1.0072 82.5 135 1.0957 82.5 150 1.2404 Figure5-0530 22.5 -165 0.9424 22.5 -150 0.9803 22.5 -135 0.9398 22.5 -120 0.8843 22.5 -105 0.8998 22.5 -90 0.9205 22.5 -75 0.9153 22.5 -60 0.9486 22.5 -45 1.0035 22.5 -30 0.9915 22.5 30 0.9059 22.5 45 0.8236 22.5 60 0.8957 22.5 75 0.9432 22.5 90 0.9073 22.5 105 0.9050 22.5 120 0.8685 22.5 135 0.8649 22.5 150 0.8989 22.5 165 0.9132 22.5 -180 0.9110 37.5 -165 1.0137 37.5 -150 1.0089 37.5 -135 1.0174 37.5 -120 0.9972 37.5 -105 0.9181 37.5 -90 0.9195 37.5 -75 0.9321 37.5 -60 0.8613 37.5 -45 0.9594 37.5 -30 0.9607 37.5 -15 0.9410 37.5 15 0.9393 37.5 30 0.9220 37.5 45 0.8899 37.5 60 0.9079 37.5 75 0.9070 37.5 90 0.9161 37.5 105 0.9322 37.5 120 1.0194 37.5 135 1.0728 37.5 150 1.0315 37.5 165 1.0246 37.5 -180 1.0168 52.5 -165 1.1276 52.5 -150 1.0421 52.5 -135 1.0370 52.5 -120 1.0466 52.5 -105 1.0010 52.5 -90 0.9344 52.5 -75 0.9502 52.5 -60 0.9814 52.5 -45 0.9932 52.5 -30 0.9828 52.5 -15 0.9974 52.5 15 0.9465 52.5 30 0.9346 52.5 45 0.9427 52.5 60 0.9158 52.5 75 0.9118 52.5 90 0.9474 52.5 105 0.9928 52.5 120 1.0217 52.5 135 1.0754 52.5 150 1.1447 52.5 165 1.1948 52.5 -180 1.1950 67.5 -165 1.3734 67.5 -150 1.2489 67.5 -135 1.1150 67.5 -120 1.0589 67.5 -105 1.0233 67.5 -90 0.9938 67.5 -75 1.0032 67.5 -60 0.9958 67.5 -45 1.0298 67.5 -30 1.0466 67.5 -15 1.0572 67.5 15 1.0223 67.5 30 1.0301 67.5 45 0.9715 67.5 60 1.0083 67.5 75 0.9930 67.5 90 0.9962 67.5 105 1.0300 67.5 120 1.1342 67.5 135 1.1755 67.5 150 1.2608 67.5 165 1.4397 67.5 -180 1.4678 82.5 -165 1.4400 82.5 -150 1.2000 82.5 -135 1.1397 82.5 -120 1.0733 82.5 -105 1.0122 82.5 -90 0.9634 82.5 -75 0.9774 82.5 -60 0.9893 82.5 -45 1.0137 82.5 -30 1.0494 82.5 -15 1.0692 82.5 0 1.0766 82.5 15 1.0652 82.5 30 1.0650 82.5 45 0.9785 82.5 60 1.0069 82.5 75 1.0036 82.5 90 0.9921 82.5 105 1.0472 82.5 120 1.1153 82.5 135 1.2053 82.5 150 1.3776 82.5 165 1.7782 82.5 -180 1.8810 Figure5-0730 22.5 -135 0.9202 22.5 -120 0.8620 22.5 -105 0.8650 22.5 -90 0.8732 22.5 -75 0.8587 22.5 -60 0.8553 22.5 -45 0.8859 22.5 -30 0.8735 22.5 30 0.9231 22.5 45 0.8902 22.5 60 0.9184 22.5 75 0.9088 22.5 90 0.9296 22.5 105 0.9436 22.5 120 0.9585 22.5 135 0.9590 22.5 150 0.9207 22.5 165 0.8963 22.5 -180 0.8933 22.5 -165 0.8807 22.5 -150 0.9175 37.5 -135 0.9514 37.5 -120 0.9703 37.5 -105 0.9404 37.5 -90 0.9350 37.5 -75 0.9466 37.5 -60 0.9253 37.5 -45 0.9476 37.5 -30 0.8615 37.5 -15 0.8671 37.5 15 0.9303 37.5 30 0.9343 37.5 45 0.9056 37.5 60 0.9366 37.5 75 0.9283 37.5 90 0.9577 37.5 105 0.9800 37.5 120 0.9692 37.5 135 1.0085 37.5 150 1.1067 37.5 165 1.1617 37.5 -180 1.1063 37.5 -165 1.0534 37.5 -150 0.9798 52.5 -135 1.0408 52.5 -120 0.9633 52.5 -105 0.9218 52.5 -90 0.8968 52.5 -75 0.8925 52.5 -60 0.8546 52.5 -45 0.8600 52.5 -30 0.9063 52.5 -15 0.9269 52.5 15 0.9558 52.5 30 0.9505 52.5 45 0.9325 52.5 60 0.9452 52.5 75 0.9385 52.5 90 0.9671 52.5 105 1.0273 52.5 120 1.1040 52.5 135 1.1946 52.5 150 1.2324 52.5 165 1.2927 52.5 -180 1.3110 52.5 -165 1.2012 52.5 -150 1.1175 67.5 -135 1.0652 67.5 -120 1.0066 67.5 -105 0.9276 67.5 -90 0.8767 67.5 -75 0.8890 67.5 -60 0.8806 67.5 -45 0.8895 67.5 -30 0.9329 67.5 -15 0.9756 67.5 15 0.9909 67.5 30 0.9871 67.5 45 0.9725 67.5 60 1.0484 67.5 75 1.0465 67.5 90 1.0994 67.5 105 1.1487 67.5 120 1.2134 67.5 135 1.2840 67.5 150 1.3752 67.5 165 1.5142 67.5 -180 1.5715 67.5 -165 1.3114 67.5 -150 1.1567 82.5 -135 1.0996 82.5 -120 1.0165 82.5 -105 0.9412 82.5 -90 0.9223 82.5 -75 0.9184 82.5 -60 0.9441 82.5 -45 0.9758 82.5 -30 1.0009 82.5 -15 1.0317 82.5 0 1.0303 82.5 15 1.0115 82.5 30 1.0328 82.5 45 1.0523 82.5 60 1.0565 82.5 75 1.0285 82.5 90 1.1158 82.5 105 1.2004 82.5 120 1.2844 82.5 135 1.3911 82.5 150 1.5728 82.5 165 1.9525 82.5 -180 2.2226 82.5 -165 1.4105 82.5 -150 1.1687 Figure5-1130 22.5 -75 0.8308 22.5 -60 0.8277 22.5 -45 0.8479 22.5 -30 0.8857 22.5 30 0.9060 22.5 45 0.9115 22.5 60 0.9309 22.5 75 0.9696 22.5 90 0.9614 22.5 105 0.9632 22.5 120 0.9572 22.5 135 0.9443 22.5 150 0.9278 22.5 165 0.9019 22.5 -180 0.8807 22.5 -165 0.8963 22.5 -150 0.8926 22.5 -135 0.8936 22.5 -120 0.8807 22.5 -105 0.8604 22.5 -90 0.8299 37.5 -75 0.8825 37.5 -60 0.8954 37.5 -45 0.8862 37.5 -30 0.9041 37.5 -15 0.8857 37.5 15 0.9299 37.5 30 0.9208 37.5 45 0.9328 37.5 60 0.9383 37.5 75 0.9383 37.5 90 0.9502 37.5 105 0.9438 37.5 120 0.9697 37.5 135 1.0259 37.5 150 1.0485 37.5 165 1.0808 37.5 -180 1.0689 37.5 -165 1.0301 37.5 -150 1.0143 37.5 -135 0.9931 37.5 -120 0.9562 37.5 -105 0.9378 37.5 -90 0.9019 52.5 -75 0.9102 52.5 -60 0.8793 52.5 -45 0.9042 52.5 -30 0.8784 52.5 -15 0.9088 52.5 15 0.9024 52.5 30 0.9125 52.5 45 0.9115 52.5 60 0.9199 52.5 75 0.9327 52.5 90 0.9466 52.5 105 0.9466 52.5 120 1.0416 52.5 135 1.1319 52.5 150 1.2025 52.5 165 1.2955 52.5 -180 1.3260 52.5 -165 1.2660 52.5 -150 1.1969 52.5 -135 1.1038 52.5 -120 1.0116 52.5 -105 0.9729 52.5 -90 0.9388 67.5 -75 0.9212 67.5 -60 0.9065 67.5 -45 0.9203 67.5 -30 0.9124 67.5 -15 0.9051 67.5 15 0.9225 67.5 30 0.9198 67.5 45 0.9059 67.5 60 0.9337 67.5 75 0.9272 67.5 90 0.9392 67.5 105 0.9880 67.5 120 1.1122 67.5 135 1.2476 67.5 150 1.4117 67.5 165 1.6313 67.5 -180 1.8046 67.5 -165 1.5778 67.5 -150 1.3648 67.5 -135 1.2338 67.5 -120 1.0984 67.5 -105 1.0117 67.5 -90 0.9517 82.5 -75 0.9342 82.5 -60 0.9176 82.5 -45 0.9212 82.5 -30 0.9364 82.5 -15 0.9466 82.5 0 0.9309 82.5 15 0.9115 82.5 30 0.8958 82.5 45 0.8820 82.5 60 0.8755 82.5 75 0.8737 82.5 90 0.8949 82.5 105 0.9972 82.5 120 1.2190 82.5 135 1.4570 82.5 150 1.7576 82.5 165 2.3265 82.5 -180 2.6899 82.5 -165 2.0030 82.5 -150 1.6166 82.5 -135 1.3436 82.5 -120 1.2090 82.5 -105 1.0900 82.5 -90 0.9941 Figure 6a 22.5 121 3 22.5 136 3 22.5 151 3 22.5 166 4 22.5 -179 4 22.5 -164 3 22.5 -149 3 22.5 -134 4 22.5 -119 3 22.5 -104 4 22.5 -89 4 22.5 -74 2 22.5 -60 3 22.5 -45 2 22.5 -30 3 22.5 30 4 22.5 45 4 22.5 60 3 22.5 75 4 22.5 90 5 22.5 105 4 37.5 121 5 37.5 136 3 37.5 151 3 37.5 166 3 37.5 -179 4 37.5 -164 2 37.5 -149 4 37.5 -134 5 37.5 -119 6 37.5 -104 4 37.5 -89 3 37.5 -74 3 37.5 -60 4 37.5 -45 3 37.5 -30 3 37.5 -15 5 37.5 15 3 37.5 30 4 37.5 45 5 37.5 60 5 37.5 75 4 37.5 90 4 37.5 105 3 52.5 121 4 52.5 136 4 52.5 151 3 52.5 166 3 52.5 -179 5 52.5 -164 6 52.5 -149 6 52.5 -134 5 52.5 -119 4 52.5 -104 5 52.5 -89 4 52.5 -74 4 52.5 -60 4 52.5 -45 2 52.5 -30 2 52.5 -15 3 52.5 15 4 52.5 30 5 52.5 45 4 52.5 60 5 52.5 75 5 52.5 90 4 52.5 105 5 67.5 121 4 67.5 136 4 67.5 151 4 67.5 166 5 67.5 -179 5 67.5 -164 6 67.5 -149 5 67.5 -134 6 67.5 -119 5 67.5 -104 5 67.5 -89 4 67.5 -74 4 67.5 -60 4 67.5 -45 3 67.5 -30 4 67.5 -15 4 67.5 15 3 67.5 30 3 67.5 45 2 67.5 60 3 67.5 75 4 67.5 90 4 67.5 105 4 82.5 121 6 82.5 136 5 82.5 151 7 82.5 166 11 82.5 -179 11 82.5 -164 11 82.5 -149 12 82.5 -134 8 82.5 -119 8 82.5 -104 6 82.5 -89 7 82.5 -74 8 82.5 -60 7 82.5 -45 6 82.5 -30 6 82.5 -15 4 82.5 -0 4 82.5 15 4 82.5 30 3 82.5 45 3 82.5 60 4 82.5 75 4 82.5 90 5 82.5 105 5 Figure6b 22.5 127 7 22.5 142 7 22.5 157 6 22.5 172 8 22.5 -173 8 22.5 -158 7 22.5 -143 8 22.5 -128 9 22.5 -113 6 22.5 -98 6 22.5 -83 7 22.5 -68 7 22.5 -52 6 22.5 -37 6 22.5 -22 6 22.5 23 8 22.5 38 9 22.5 53 8 22.5 68 8 22.5 83 9 22.5 98 8 22.5 113 8 37.5 127 7 37.5 142 6 37.5 157 5 37.5 172 4 37.5 -173 4 37.5 -158 5 37.5 -143 7 37.5 -128 5 37.5 -113 5 37.5 -98 4 37.5 -83 6 37.5 -68 5 37.5 -52 5 37.5 -37 4 37.5 -22 4 37.5 23 4 37.5 38 6 37.5 53 5 37.5 68 6 37.5 83 6 37.5 98 7 37.5 113 7 52.5 127 4 52.5 142 4 52.5 157 6 52.5 172 5 52.5 -173 8 52.5 -158 5 52.5 -143 5 52.5 -128 6 52.5 -113 5 52.5 -98 5 52.5 -83 3 52.5 -68 3 52.5 -52 3 52.5 -37 3 52.5 -22 3 52.5 -7 3 52.5 8 4 52.5 23 5 52.5 38 5 52.5 53 6 52.5 68 5 52.5 83 5 52.5 98 5 52.5 113 5 67.5 127 9 67.5 142 7 67.5 157 8 67.5 172 6 67.5 -173 7 67.5 -158 7 67.5 -143 7 67.5 -128 5 67.5 -113 4 67.5 -98 4 67.5 -83 3 67.5 -68 5 67.5 -52 4 67.5 -37 4 67.5 -22 4 67.5 -7 6 67.5 8 3 67.5 23 3 67.5 38 2 67.5 53 4 67.5 68 4 67.5 83 6 67.5 98 7 67.5 113 8 82.5 127 8 82.5 142 13 82.5 157 17 82.5 172 23 82.5 -173 17 82.5 -158 15 82.5 -143 6 82.5 -128 5 82.5 -113 5 82.5 -98 5 82.5 -83 4 82.5 -68 4 82.5 -52 5 82.5 -37 6 82.5 -22 4 82.5 -7 4 82.5 8 4 82.5 23 5 82.5 38 5 82.5 53 5 82.5 68 5 82.5 83 6 82.5 98 6 82.5 113 6