Nominal roll angles from roman_nomroll_sunang_test.pro All cases have line of sight at RA = 90.000 Output includes nominal roll angle and angles of Observatory body axes WRT Sun Time sampling interval is 7 days -------------------------------------------------------------------------------- Observatory roll angle and body axes to Sun angles for declination = +/-1.0 dec=1.0 pitch dec=-1.0 pitch Month Day RA_sun DEC_sun roll x2sun y2sun z2sun OK roll x2sun y2sun z2sun OK 1 1 280.6 -23.1 155.8 155.6 90.0 65.6 no 157.5 153.8 90.0 63.8 no 1 8 288.3 -22.4 141.5 152.2 90.0 62.2 no 143.8 150.6 90.0 60.6 no 1 15 295.9 -21.3 130.6 147.6 90.0 57.6 no 132.9 146.3 90.0 56.3 no 1 22 303.4 -19.9 122.3 142.3 90.0 52.3 no 124.4 141.2 90.0 51.2 no 2 1 313.8 -17.4 113.5 134.0 90.0 44.0 no 115.2 133.2 90.0 43.2 no 2 8 320.8 -15.3 108.7 127.9 90.0 37.9 no 110.2 127.2 90.0 37.2 no 2 15 327.7 -13.0 104.7 121.6 90.0 31.6 yes 105.9 121.1 90.0 31.1 yes 2 22 334.5 -10.6 101.2 115.2 90.0 25.2 yes 102.1 114.8 90.0 24.8 yes 3 1 342.1 -7.6 97.7 107.9 90.0 17.9 yes 98.3 107.6 90.0 17.6 yes 3 8 348.6 -4.9 94.8 101.4 90.0 11.4 yes 95.2 101.3 90.0 11.3 yes 3 15 355.0 -2.2 92.1 95.0 90.0 5.0 yes 92.2 94.9 90.0 4.9 yes 3 22 1.4 0.6 89.4 88.6 90.0 1.4 yes 89.4 88.6 90.0 1.4 yes 4 1 10.5 4.5 85.6 79.4 90.0 10.6 yes 85.2 79.6 90.0 10.4 yes 4 8 16.9 7.2 82.8 73.1 90.0 16.9 yes 82.2 73.4 90.0 16.6 yes 4 15 23.4 9.8 79.8 66.8 90.0 23.2 yes 79.0 67.2 90.0 22.8 yes 4 22 29.9 12.2 76.6 60.6 90.0 29.4 yes 75.5 61.1 90.0 28.9 yes 5 1 38.4 15.1 71.8 52.8 90.0 37.2 no 70.3 53.5 90.0 36.5 no 5 8 45.1 17.1 67.3 47.0 90.0 43.0 no 65.6 47.8 90.0 42.2 no 5 15 52.0 18.9 62.0 41.3 90.0 48.7 no 60.0 42.3 90.0 47.7 no 5 22 59.0 20.4 55.4 36.0 90.0 54.0 no 53.2 37.2 90.0 52.8 no 6 1 69.1 22.0 42.6 29.3 90.0 60.7 no 40.3 30.8 90.0 59.2 no 6 8 76.3 22.8 30.4 25.6 90.0 64.4 no 28.4 27.3 90.0 62.7 no 6 15 83.6 23.3 15.2 23.2 90.0 66.8 no 14.1 25.1 90.0 64.9 no 6 22 90.8 23.4 358.0 22.4 90.0 67.6 no 358.2 24.4 90.0 65.6 no 7 1 100.2 23.1 336.7 24.2 90.0 65.8 no 338.3 26.1 90.0 63.9 no 7 8 107.4 22.5 323.0 27.3 90.0 62.7 no 325.2 28.9 90.0 61.1 no 7 15 114.5 21.5 312.4 31.5 90.0 58.5 no 314.7 32.9 90.0 57.1 no 7 22 121.5 20.3 304.1 36.3 90.0 53.7 no 306.3 37.5 90.0 52.5 no 8 1 131.4 18.0 295.3 44.0 90.0 46.0 no 297.1 44.9 90.0 45.1 no 8 8 138.1 16.1 290.5 49.7 90.0 40.3 no 292.0 50.5 90.0 39.5 no 8 15 144.7 14.1 286.4 55.6 90.0 34.4 yes 287.7 56.2 90.0 33.8 yes 8 22 151.2 11.8 282.9 61.6 90.0 28.4 yes 283.9 62.1 90.0 27.9 yes 9 1 160.4 8.3 278.4 70.4 90.0 19.6 yes 279.1 70.7 90.0 19.3 yes 9 8 166.7 5.7 275.6 76.6 90.0 13.4 yes 276.1 76.8 90.0 13.2 yes 9 15 173.0 3.0 272.9 82.9 90.0 7.1 yes 273.2 83.0 90.0 7.0 yes 9 22 179.2 0.3 270.3 89.2 90.0 0.8 yes 270.3 89.2 90.0 0.8 yes 10 1 187.3 -3.2 266.9 97.4 90.0 7.4 yes 266.7 97.3 90.0 7.3 yes 10 8 193.7 -5.9 264.2 103.7 90.0 13.7 yes 263.7 103.5 90.0 13.5 yes 10 15 200.2 -8.5 261.3 110.1 90.0 20.1 yes 260.6 109.8 90.0 19.8 yes 10 22 206.7 -11.0 258.2 116.4 90.0 26.4 yes 257.2 116.0 90.0 26.0 yes 11 1 216.4 -14.4 253.0 125.3 90.0 35.3 yes 251.6 124.7 90.0 34.7 yes 11 8 223.3 -16.6 248.6 131.5 90.0 41.5 no 247.0 130.7 90.0 40.7 no 11 15 230.4 -18.5 243.3 137.4 90.0 47.4 no 241.4 136.5 90.0 46.5 no 11 22 237.7 -20.1 236.7 143.1 90.0 53.1 no 234.5 141.9 90.0 51.9 no 12 1 247.3 -21.8 225.2 149.6 90.0 59.6 no 222.9 148.2 90.0 58.2 no 12 8 254.9 -22.7 213.0 153.8 90.0 63.8 no 211.0 152.1 90.0 62.1 no 12 15 262.6 -23.3 197.4 156.6 90.0 66.6 no 196.1 154.7 90.0 64.7 no 12 22 270.3 -23.4 179.2 157.6 90.0 67.6 no 179.3 155.6 90.0 65.6 no Unit vectors for Sun and normal to Solar Array/Sun Shield dec=1.0 dec=-1.0 Month Day RA_sun DEC_sun XSun YSun ZSun roll XSASS YSASS ZSASS roll XSASS YSASS ZSASS 1 1 280.6 -23.1 0.1691 -0.9043 -0.3920 155.8 0.4100 0.0159 -0.9120 157.5 0.3831 -0.0161 -0.9236 1 8 288.3 -22.4 0.2902 -0.8780 -0.3806 141.5 0.6221 0.0137 -0.7828 143.8 0.5912 -0.0141 -0.8064 1 15 295.9 -21.3 0.4068 -0.8382 -0.3633 130.6 0.7593 0.0114 -0.6507 132.9 0.7326 -0.0119 -0.6805 1 22 303.4 -19.9 0.5170 -0.7854 -0.3405 122.3 0.8453 0.0093 -0.5341 124.4 0.8250 -0.0099 -0.5650 2 1 313.8 -17.4 0.6599 -0.6894 -0.2988 113.5 0.9172 0.0070 -0.3985 115.2 0.9047 -0.0074 -0.4260 2 8 320.8 -15.3 0.7477 -0.6092 -0.2641 108.7 0.9471 0.0056 -0.3209 110.2 0.9387 -0.0060 -0.3448 2 15 327.7 -13.0 0.8239 -0.5200 -0.2254 104.7 0.9672 0.0044 -0.2539 105.9 0.9618 -0.0048 -0.2737 2 22 334.5 -10.6 0.8873 -0.4231 -0.1834 101.2 0.9809 0.0034 -0.1945 102.1 0.9777 -0.0037 -0.2102 3 1 342.1 -7.6 0.9431 -0.3050 -0.1322 97.7 0.9911 0.0023 -0.1333 98.3 0.9895 -0.0025 -0.1443 3 8 348.6 -4.9 0.9767 -0.1970 -0.0854 94.8 0.9965 0.0015 -0.0836 95.2 0.9959 -0.0016 -0.0906 3 15 355.0 -2.2 0.9955 -0.0866 -0.0375 92.1 0.9993 0.0006 -0.0361 92.2 0.9992 -0.0007 -0.0392 3 22 1.4 0.6 0.9996 0.0248 0.0107 89.4 0.9999 -0.0002 0.0103 89.4 0.9999 0.0002 0.0112 4 1 10.5 4.5 0.9801 0.1821 0.0789 85.6 0.9970 -0.0013 0.0770 85.2 0.9965 0.0015 0.0834 4 8 16.9 7.2 0.9492 0.2887 0.1251 82.8 0.9921 -0.0022 0.1255 82.2 0.9907 0.0024 0.1358 4 15 23.4 9.8 0.9048 0.3908 0.1694 79.8 0.9842 -0.0031 0.1768 79.0 0.9816 0.0033 0.1911 4 22 29.9 12.2 0.8476 0.4869 0.2110 76.6 0.9726 -0.0041 0.2323 75.5 0.9681 0.0044 0.2507 5 1 38.4 15.1 0.7569 0.5996 0.2599 71.8 0.9498 -0.0055 0.3129 70.3 0.9417 0.0059 0.3363 5 8 45.1 17.1 0.6745 0.6774 0.2936 67.3 0.9227 -0.0067 0.3854 65.6 0.9110 0.0072 0.4124 5 15 52.0 18.9 0.5829 0.7455 0.3232 62.0 0.8828 -0.0082 0.4696 60.0 0.8663 0.0087 0.4995 5 22 59.0 20.4 0.4834 0.8032 0.3482 55.4 0.8227 -0.0099 0.5684 53.2 0.8004 0.0105 0.5994 6 1 69.1 22.0 0.3307 0.8659 0.3753 42.6 0.6763 -0.0129 0.7365 40.3 0.6464 0.0133 0.7629 6 8 76.3 22.8 0.2183 0.8954 0.3881 30.4 0.5057 -0.0151 0.8626 28.4 0.4757 0.0154 0.8795 6 15 83.6 23.3 0.1031 0.9126 0.3956 15.2 0.2622 -0.0168 0.9649 14.1 0.2431 0.0169 0.9699 6 22 90.8 23.4 -0.0133 0.9174 0.3977 358.0 -0.0349 -0.0174 0.9992 358.2 -0.0322 0.0174 0.9993 7 1 100.2 23.1 -0.1624 0.9053 0.3924 336.7 -0.3960 -0.0160 0.9181 338.3 -0.3697 0.0162 0.9290 7 8 107.4 22.5 -0.2760 0.8819 0.3823 323.0 -0.6012 -0.0139 0.7990 325.2 -0.5702 0.0143 0.8214 7 15 114.5 21.5 -0.3858 0.8465 0.3669 312.4 -0.7387 -0.0118 0.6740 314.7 -0.7109 0.0123 0.7031 7 22 121.5 20.3 -0.4905 0.7995 0.3466 304.1 -0.8277 -0.0098 0.5611 306.3 -0.8058 0.0103 0.5921 8 1 131.4 18.0 -0.6284 0.7137 0.3094 295.3 -0.9042 -0.0075 0.4271 297.1 -0.8901 0.0080 0.4558 8 8 138.1 16.1 -0.7149 0.6416 0.2781 290.5 -0.9368 -0.0061 0.3497 292.0 -0.9270 0.0065 0.3750 8 15 144.7 14.1 -0.7918 0.5605 0.2429 286.4 -0.9593 -0.0049 0.2824 287.7 -0.9527 0.0053 0.3040 8 22 151.2 11.8 -0.8579 0.4714 0.2044 282.9 -0.9749 -0.0039 0.2228 283.9 -0.9707 0.0042 0.2404 9 1 160.4 8.3 -0.9319 0.3327 0.1442 278.4 -0.9891 -0.0026 0.1469 279.1 -0.9873 0.0028 0.1589 9 8 166.7 5.7 -0.9682 0.2294 0.0994 275.6 -0.9952 -0.0017 0.0981 276.1 -0.9943 0.0019 0.1062 9 15 173.0 3.0 -0.9911 0.1225 0.0531 272.9 -0.9987 -0.0009 0.0513 273.2 -0.9985 0.0010 0.0556 9 22 179.2 0.3 -0.9999 0.0134 0.0058 270.3 -1.0000 -0.0001 0.0056 270.3 -1.0000 0.0001 0.0060 10 1 187.3 -3.2 -0.9903 -0.1275 -0.0553 266.9 -0.9986 0.0009 -0.0535 266.7 -0.9983 -0.0010 -0.0579 10 8 193.7 -5.9 -0.9664 -0.2357 -0.1022 264.2 -0.9949 0.0018 -0.1009 263.7 -0.9940 -0.0019 -0.1093 10 15 200.2 -8.5 -0.9284 -0.3409 -0.1478 261.3 -0.9885 0.0026 -0.1509 260.6 -0.9866 -0.0028 -0.1633 10 22 206.7 -11.0 -0.8766 -0.4414 -0.1914 258.2 -0.9788 0.0036 -0.2050 257.2 -0.9752 -0.0039 -0.2214 11 1 216.4 -14.4 -0.7800 -0.5741 -0.2489 253.0 -0.9562 0.0051 -0.2927 251.6 -0.9491 -0.0055 -0.3149 11 8 223.3 -16.6 -0.6978 -0.6572 -0.2849 248.6 -0.9311 0.0064 -0.3647 247.0 -0.9204 -0.0068 -0.3908 11 15 230.4 -18.5 -0.6047 -0.7307 -0.3168 243.3 -0.8935 0.0078 -0.4490 241.4 -0.8781 -0.0083 -0.4783 11 22 237.7 -20.1 -0.5022 -0.7934 -0.3439 236.7 -0.8357 0.0096 -0.5491 234.5 -0.8145 -0.0101 -0.5801 12 1 247.3 -21.8 -0.3590 -0.8563 -0.3712 225.2 -0.7099 0.0123 -0.7042 222.9 -0.6810 -0.0128 -0.7322 12 8 254.9 -22.7 -0.2409 -0.8905 -0.3860 213.0 -0.5451 0.0146 -0.8382 211.0 -0.5144 -0.0150 -0.8574 12 15 262.6 -23.3 -0.1188 -0.9110 -0.3949 197.4 -0.2991 0.0167 -0.9541 196.1 -0.2778 -0.0168 -0.9605 12 22 270.3 -23.4 0.0053 -0.9175 -0.3977 179.2 0.0139 0.0175 -0.9998 179.3 0.0128 -0.0175 -0.9998 -------------------------------------------------------------------------------- Observatory roll angle and body axes to Sun angles for declination = +/-60.0 dec=60.0 pitch dec=-60.0 pitch Month Day RA_sun DEC_sun roll x2sun y2sun z2sun OK roll x2sun y2sun z2sun OK 1 1 280.6 -23.1 16.1 142.3 90.0 52.3 no 170.2 96.5 90.0 6.5 yes 1 8 288.3 -22.4 27.0 140.2 90.0 50.2 no 163.0 96.3 90.0 6.3 yes 1 15 295.9 -21.3 36.8 137.2 90.0 47.2 no 155.9 96.0 90.0 6.0 yes 1 22 303.4 -19.9 45.4 133.4 90.0 43.4 no 148.7 95.6 90.0 5.6 yes 2 1 313.8 -17.4 55.9 127.1 90.0 37.1 no 138.5 94.9 90.0 4.9 yes 2 8 320.8 -15.3 62.1 122.2 90.0 32.2 yes 131.4 94.4 90.0 4.4 yes 2 15 327.7 -13.0 67.7 117.1 90.0 27.1 yes 124.3 93.7 90.0 3.7 yes 2 22 334.5 -10.6 72.8 111.7 90.0 21.7 yes 117.3 93.0 90.0 3.0 yes 3 1 342.1 -7.6 78.1 105.5 90.0 15.5 yes 109.3 92.2 90.0 2.2 yes 3 8 348.6 -4.9 82.5 99.9 90.0 9.9 yes 102.3 91.4 90.0 1.4 yes 3 15 355.0 -2.2 86.8 94.3 90.0 4.3 yes 95.4 90.6 90.0 0.6 yes 3 22 1.4 0.6 90.9 88.8 90.0 1.2 yes 88.5 89.8 90.0 0.2 yes 4 1 10.5 4.5 96.9 80.8 90.0 9.2 yes 78.6 88.7 90.0 1.3 yes 4 8 16.9 7.2 101.2 75.4 90.0 14.6 yes 71.8 87.9 90.0 2.1 yes 4 15 23.4 9.8 105.7 70.0 90.0 20.0 yes 64.9 87.2 90.0 2.8 yes 4 22 29.9 12.2 110.5 64.8 90.0 25.2 yes 58.1 86.5 90.0 3.5 yes 5 1 38.4 15.1 117.2 58.3 90.0 31.7 yes 49.4 85.7 90.0 4.3 yes 5 8 45.1 17.1 123.1 53.6 90.0 36.4 no 42.6 85.2 90.0 4.8 yes 5 15 52.0 18.9 129.7 49.3 90.0 40.7 no 35.8 84.7 90.0 5.3 yes 5 22 59.0 20.4 137.2 45.3 90.0 44.7 no 29.1 84.3 90.0 5.7 yes 6 1 69.1 22.0 149.5 40.7 90.0 49.3 no 19.4 83.8 90.0 6.2 yes 6 8 76.3 22.8 159.4 38.4 90.0 51.6 no 12.7 83.6 90.0 6.4 yes 6 15 83.6 23.3 170.1 37.0 90.0 53.0 no 6.0 83.5 90.0 6.5 yes 6 22 90.8 23.4 181.3 36.6 90.0 53.4 no 359.2 83.4 90.0 6.6 yes 7 1 100.2 23.1 195.4 37.6 90.0 52.4 no 350.6 83.5 90.0 6.5 yes 7 8 107.4 22.5 205.7 39.5 90.0 50.5 no 343.9 83.7 90.0 6.3 yes 7 15 114.5 21.5 215.1 42.2 90.0 47.8 no 337.2 83.9 90.0 6.1 yes 7 22 121.5 20.3 223.4 45.6 90.0 44.4 no 330.5 84.3 90.0 5.7 yes 8 1 131.4 18.0 233.6 51.3 90.0 38.7 no 320.9 84.9 90.0 5.1 yes 8 8 138.1 16.1 239.8 55.8 90.0 34.2 yes 314.2 85.4 90.0 4.6 yes 8 15 144.7 14.1 245.3 60.6 90.0 29.4 yes 307.5 86.0 90.0 4.0 yes 8 22 151.2 11.8 250.4 65.6 90.0 24.4 yes 300.8 86.6 90.0 3.4 yes 9 1 160.4 8.3 256.9 73.1 90.0 16.9 yes 291.1 87.6 90.0 2.4 yes 9 8 166.7 5.7 261.3 78.4 90.0 11.6 yes 284.4 88.4 90.0 1.6 yes 9 15 173.0 3.0 265.4 83.8 90.0 6.2 yes 277.6 89.1 90.0 0.9 yes 9 22 179.2 0.3 269.5 89.3 90.0 0.7 yes 270.8 89.9 90.0 0.1 yes 10 1 187.3 -3.2 274.8 96.4 90.0 6.4 yes 262.1 90.9 90.0 0.9 yes 10 8 193.7 -5.9 279.0 101.9 90.0 11.9 yes 255.2 91.7 90.0 1.7 yes 10 15 200.2 -8.5 283.4 107.4 90.0 17.4 yes 248.3 92.4 90.0 2.4 yes 10 22 206.7 -11.0 288.1 112.7 90.0 22.7 yes 241.4 93.2 90.0 3.2 yes 11 1 216.4 -14.4 295.5 120.2 90.0 30.2 yes 231.4 94.1 90.0 4.1 yes 11 8 223.3 -16.6 301.4 125.1 90.0 35.1 yes 224.4 94.7 90.0 4.7 yes 11 15 230.4 -18.5 308.1 129.8 90.0 39.8 no 217.4 95.2 90.0 5.2 yes 11 22 237.7 -20.1 315.7 134.0 90.0 44.0 no 210.3 95.7 90.0 5.7 yes 12 1 247.3 -21.8 327.1 138.6 90.0 48.6 no 201.2 96.1 90.0 6.1 yes 12 8 254.9 -22.7 337.4 141.2 90.0 51.2 no 194.0 96.4 90.0 6.4 yes 12 15 262.6 -23.3 348.6 142.9 90.0 52.9 no 186.9 96.5 90.0 6.5 yes 12 22 270.3 -23.4 0.5 143.4 90.0 53.4 no 179.7 96.6 90.0 6.6 yes Unit vectors for Sun and normal to Solar Array/Sun Shield dec=60.0 dec=-60.0 Month Day RA_sun DEC_sun XSun YSun ZSun roll XSASS YSASS ZSASS roll XSASS YSASS ZSASS 1 1 280.6 -23.1 0.1691 -0.9043 -0.3920 16.1 0.2767 -0.8322 0.4805 170.2 0.1702 -0.8534 -0.4927 1 8 288.3 -22.4 0.2902 -0.8780 -0.3806 27.0 0.4536 -0.7718 0.4456 163.0 0.2919 -0.8283 -0.4782 1 15 295.9 -21.3 0.4068 -0.8382 -0.3633 36.8 0.5987 -0.6937 0.4005 155.9 0.4090 -0.7903 -0.4563 1 22 303.4 -19.9 0.5170 -0.7854 -0.3405 45.4 0.7119 -0.6082 0.3511 148.7 0.5195 -0.7400 -0.4272 2 1 313.8 -17.4 0.6599 -0.6894 -0.2988 55.9 0.8276 -0.4861 0.2807 138.5 0.6624 -0.6488 -0.3746 2 8 320.8 -15.3 0.7477 -0.6092 -0.2641 62.1 0.8839 -0.4050 0.2338 131.4 0.7499 -0.5729 -0.3308 2 15 327.7 -13.0 0.8239 -0.5200 -0.2254 67.7 0.9253 -0.3284 0.1896 124.3 0.8256 -0.4886 -0.2821 2 22 334.5 -10.6 0.8873 -0.4231 -0.1834 72.8 0.9553 -0.2561 0.1479 117.3 0.8886 -0.3973 -0.2294 3 1 342.1 -7.6 0.9431 -0.3050 -0.1322 78.1 0.9787 -0.1780 0.1027 109.3 0.9438 -0.2862 -0.1652 3 8 348.6 -4.9 0.9767 -0.1970 -0.0854 82.5 0.9915 -0.1125 0.0649 102.3 0.9770 -0.1848 -0.1067 3 15 355.0 -2.2 0.9955 -0.0866 -0.0375 86.8 0.9984 -0.0488 0.0282 95.4 0.9956 -0.0812 -0.0469 3 22 1.4 0.6 0.9996 0.0248 0.0107 90.9 0.9999 0.0139 -0.0081 88.5 0.9996 0.0233 0.0134 4 1 10.5 4.5 0.9801 0.1821 0.0789 96.9 0.9928 0.1037 -0.0599 78.6 0.9804 0.1708 0.0986 4 8 16.9 7.2 0.9492 0.2887 0.1251 101.2 0.9811 0.1678 -0.0969 71.8 0.9498 0.2709 0.1564 4 15 23.4 9.8 0.9048 0.3908 0.1694 105.7 0.9629 0.2338 -0.1350 64.9 0.9058 0.3669 0.2118 4 22 29.9 12.2 0.8476 0.4869 0.2110 110.5 0.9370 0.3026 -0.1747 58.1 0.8492 0.4574 0.2641 5 1 38.4 15.1 0.7569 0.5996 0.2599 117.2 0.8893 0.3961 -0.2287 49.4 0.7591 0.5638 0.3255 5 8 45.1 17.1 0.6745 0.6774 0.2936 123.1 0.8376 0.4731 -0.2731 42.6 0.6769 0.6375 0.3680 5 15 52.0 18.9 0.5829 0.7455 0.3232 129.7 0.7693 0.5533 -0.3195 35.8 0.5854 0.7021 0.4054 5 22 59.0 20.4 0.4834 0.8032 0.3482 137.2 0.6799 0.6351 -0.3667 29.1 0.4859 0.7569 0.4370 6 1 69.1 22.0 0.3307 0.8659 0.3753 149.5 0.5070 0.7465 -0.4310 19.4 0.3326 0.8167 0.4715 6 8 76.3 22.8 0.2183 0.8954 0.3881 159.4 0.3515 0.8107 -0.4681 12.7 0.2197 0.8449 0.4878 6 15 83.6 23.3 0.1031 0.9126 0.3956 170.1 0.1715 0.8532 -0.4926 6.0 0.1038 0.8613 0.4973 6 22 90.8 23.4 -0.0133 0.9174 0.3977 181.3 -0.0223 0.8658 -0.4999 359.2 -0.0134 0.8659 0.5000 7 1 100.2 23.1 -0.1624 0.9053 0.3924 195.4 -0.2663 0.8348 -0.4819 350.6 -0.1634 0.8544 0.4933 7 8 107.4 22.5 -0.2760 0.8819 0.3823 205.7 -0.4342 0.7801 -0.4504 343.9 -0.2777 0.8320 0.4803 7 15 114.5 21.5 -0.3858 0.8465 0.3669 215.1 -0.5746 0.7088 -0.4092 337.2 -0.3880 0.7982 0.4608 7 22 121.5 20.3 -0.4905 0.7995 0.3466 223.4 -0.6868 0.6295 -0.3634 330.5 -0.4930 0.7535 0.4350 8 1 131.4 18.0 -0.6284 0.7137 0.3094 233.6 -0.8048 0.5140 -0.2968 320.9 -0.6309 0.6719 0.3879 8 8 138.1 16.1 -0.7149 0.6416 0.2781 239.8 -0.8640 0.4360 -0.2517 314.2 -0.7172 0.6035 0.3485 8 15 144.7 14.1 -0.7918 0.5605 0.2429 245.3 -0.9086 0.3617 -0.2088 307.5 -0.7937 0.5268 0.3042 8 22 151.2 11.8 -0.8579 0.4714 0.2044 250.4 -0.9419 0.2910 -0.1680 300.8 -0.8594 0.4428 0.2557 9 1 160.4 8.3 -0.9319 0.3327 0.1442 256.9 -0.9742 0.1956 -0.1129 291.1 -0.9327 0.3123 0.1803 9 8 166.7 5.7 -0.9682 0.2294 0.0994 261.3 -0.9884 0.1317 -0.0760 284.4 -0.9686 0.2152 0.1242 9 15 173.0 3.0 -0.9911 0.1225 0.0531 265.4 -0.9968 0.0693 -0.0400 277.6 -0.9912 0.1149 0.0663 9 22 179.2 0.3 -0.9999 0.0134 0.0058 269.5 -1.0000 0.0075 -0.0043 270.8 -0.9999 0.0126 0.0073 10 1 187.3 -3.2 -0.9903 -0.1275 -0.0553 274.8 -0.9965 -0.0722 0.0417 262.1 -0.9904 -0.1196 -0.0690 10 8 193.7 -5.9 -0.9664 -0.2357 -0.1022 279.0 -0.9877 -0.1354 0.0782 255.2 -0.9669 -0.2211 -0.1276 10 15 200.2 -8.5 -0.9284 -0.3409 -0.1478 283.4 -0.9727 -0.2008 0.1159 248.3 -0.9293 -0.3199 -0.1847 10 22 206.7 -11.0 -0.8766 -0.4414 -0.1914 288.1 -0.9505 -0.2691 0.1554 241.4 -0.8780 -0.4146 -0.2394 11 1 216.4 -14.4 -0.7800 -0.5741 -0.2489 295.5 -0.9023 -0.3734 0.2156 231.4 -0.7820 -0.5397 -0.3116 11 8 223.3 -16.6 -0.6978 -0.6572 -0.2849 301.4 -0.8531 -0.4518 0.2609 224.4 -0.7001 -0.6184 -0.3570 11 15 230.4 -18.5 -0.6047 -0.7307 -0.3168 308.1 -0.7867 -0.5346 0.3086 217.4 -0.6072 -0.6881 -0.3973 11 22 237.7 -20.1 -0.5022 -0.7934 -0.3439 315.7 -0.6981 -0.6201 0.3580 210.3 -0.5047 -0.7476 -0.4316 12 1 247.3 -21.8 -0.3590 -0.8563 -0.3712 327.1 -0.5424 -0.7275 0.4200 201.2 -0.3611 -0.8076 -0.4663 12 8 254.9 -22.7 -0.2409 -0.8905 -0.3860 337.4 -0.3846 -0.7994 0.4616 194.0 -0.2424 -0.8402 -0.4851 12 15 262.6 -23.3 -0.1188 -0.9110 -0.3949 348.6 -0.1969 -0.8491 0.4902 186.9 -0.1196 -0.8598 -0.4964 12 22 270.3 -23.4 0.0053 -0.9175 -0.3977 0.5 0.0089 -0.8660 0.5000 179.7 0.0053 -0.8660 -0.5000 -------------------------------------------------------------------------------- Observatory roll angle and body axes to Sun angles for declination = +/-89.0 dec=89.0 pitch dec=-89.0 pitch Month Day RA_sun DEC_sun roll x2sun y2sun z2sun OK roll x2sun y2sun z2sun OK 1 1 280.6 -23.1 10.7 114.1 90.0 24.1 yes 169.5 67.9 90.0 22.1 yes 1 8 288.3 -22.4 18.4 113.3 90.0 23.3 yes 161.8 68.6 90.0 21.4 yes 1 15 295.9 -21.3 26.1 112.2 90.0 22.2 yes 154.3 69.6 90.0 20.4 yes 1 22 303.4 -19.9 33.6 110.7 90.0 20.7 yes 146.8 70.9 90.0 19.1 yes 2 1 313.8 -17.4 44.0 108.1 90.0 18.1 yes 136.5 73.3 90.0 16.7 yes 2 8 320.8 -15.3 51.0 105.9 90.0 15.9 yes 129.4 75.3 90.0 14.7 yes 2 15 327.7 -13.0 57.9 103.6 90.0 13.6 yes 122.4 77.5 90.0 12.5 yes 2 22 334.5 -10.6 64.7 101.0 90.0 11.0 yes 115.7 79.9 90.0 10.1 yes 3 1 342.1 -7.6 72.2 97.9 90.0 7.9 yes 108.0 82.7 90.0 7.3 yes 3 8 348.6 -4.9 78.7 95.1 90.0 5.1 yes 101.5 85.3 90.0 4.7 yes 3 15 355.0 -2.2 85.1 92.2 90.0 2.2 yes 95.0 87.9 90.0 2.1 yes 3 22 1.4 0.6 91.4 89.4 90.0 0.6 yes 88.6 90.6 90.0 0.6 yes 4 1 10.5 4.5 100.4 85.3 90.0 4.7 yes 79.4 94.3 90.0 4.3 yes 4 8 16.9 7.2 106.8 82.5 90.0 7.5 yes 73.0 96.9 90.0 6.9 yes 4 15 23.4 9.8 113.2 79.9 90.0 10.1 yes 66.5 99.4 90.0 9.4 yes 4 22 29.9 12.2 119.7 77.3 90.0 12.7 yes 59.9 101.7 90.0 11.7 yes 5 1 38.4 15.1 128.2 74.3 90.0 15.7 yes 51.4 104.4 90.0 14.4 yes 5 8 45.1 17.1 134.9 72.2 90.0 17.8 yes 44.7 106.4 90.0 16.4 yes 5 15 52.0 18.9 141.8 70.4 90.0 19.6 yes 37.8 108.1 90.0 18.1 yes 5 22 59.0 20.4 148.8 68.8 90.0 21.2 yes 30.9 109.5 90.0 19.5 yes 6 1 69.1 22.0 158.9 67.0 90.0 23.0 yes 20.8 111.1 90.0 21.1 yes 6 8 76.3 22.8 166.2 66.2 90.0 23.8 yes 13.6 111.9 90.0 21.9 yes 6 15 83.6 23.3 173.5 65.7 90.0 24.3 yes 6.4 112.3 90.0 22.3 yes 6 22 90.8 23.4 180.8 65.6 90.0 24.4 yes 359.2 112.4 90.0 22.4 yes 7 1 100.2 23.1 190.2 65.9 90.0 24.1 yes 349.9 112.1 90.0 22.1 yes 7 8 107.4 22.5 197.5 66.6 90.0 23.4 yes 342.7 111.5 90.0 21.5 yes 7 15 114.5 21.5 204.7 67.6 90.0 22.4 yes 335.7 110.6 90.0 20.6 yes 7 22 121.5 20.3 211.7 68.9 90.0 21.1 yes 328.7 109.4 90.0 19.4 yes 8 1 131.4 18.0 221.6 71.2 90.0 18.8 yes 318.8 107.3 90.0 17.3 yes 8 8 138.1 16.1 228.3 73.2 90.0 16.8 yes 312.1 105.5 90.0 15.5 yes 8 15 144.7 14.1 234.9 75.4 90.0 14.6 yes 305.5 103.5 90.0 13.5 yes 8 22 151.2 11.8 241.4 77.7 90.0 12.3 yes 299.0 101.3 90.0 11.3 yes 9 1 160.4 8.3 250.5 81.4 90.0 8.6 yes 289.8 98.0 90.0 8.0 yes 9 8 166.7 5.7 256.8 84.1 90.0 5.9 yes 283.4 95.5 90.0 5.5 yes 9 15 173.0 3.0 263.0 86.8 90.0 3.2 yes 277.1 92.9 90.0 2.9 yes 9 22 179.2 0.3 269.2 89.7 90.0 0.3 yes 270.8 90.3 90.0 0.3 yes 10 1 187.3 -3.2 277.3 93.3 90.0 3.3 yes 262.6 87.0 90.0 3.0 yes 10 8 193.7 -5.9 283.6 96.1 90.0 6.1 yes 256.2 84.4 90.0 5.6 yes 10 15 200.2 -8.5 290.0 98.8 90.0 8.8 yes 249.7 81.8 90.0 8.2 yes 10 22 206.7 -11.0 296.6 101.5 90.0 11.5 yes 243.1 79.4 90.0 10.6 yes 11 1 216.4 -14.4 306.1 105.0 90.0 15.0 yes 233.4 76.2 90.0 13.8 yes 11 8 223.3 -16.6 313.1 107.2 90.0 17.2 yes 226.5 74.1 90.0 15.9 yes 11 15 230.4 -18.5 320.2 109.2 90.0 19.2 yes 219.4 72.3 90.0 17.7 yes 11 22 237.7 -20.1 327.5 111.0 90.0 21.0 yes 212.1 70.7 90.0 19.3 yes 12 1 247.3 -21.8 337.1 112.7 90.0 22.7 yes 202.6 69.1 90.0 20.9 yes 12 8 254.9 -22.7 344.8 113.7 90.0 23.7 yes 195.0 68.3 90.0 21.7 yes 12 15 262.6 -23.3 352.5 114.3 90.0 24.3 yes 187.4 67.7 90.0 22.3 yes 12 22 270.3 -23.4 0.3 114.4 90.0 24.4 yes 179.7 67.6 90.0 22.4 yes Unit vectors for Sun and normal to Solar Array/Sun Shield dec=89.0 dec=-89.0 Month Day RA_sun DEC_sun XSun YSun ZSun roll XSASS YSASS ZSASS roll XSASS YSASS ZSASS 1 1 280.6 -23.1 0.1691 -0.9043 -0.3920 10.7 0.1852 -0.9826 0.0172 169.5 0.1825 -0.9831 -0.0172 1 8 288.3 -22.4 0.2902 -0.8780 -0.3806 18.4 0.3160 -0.9486 0.0166 161.8 0.3117 -0.9500 -0.0166 1 15 295.9 -21.3 0.4068 -0.8382 -0.3633 26.1 0.4393 -0.8982 0.0157 154.3 0.4340 -0.9008 -0.0157 1 22 303.4 -19.9 0.5170 -0.7854 -0.3405 33.6 0.5528 -0.8332 0.0145 146.8 0.5470 -0.8370 -0.0146 2 1 313.8 -17.4 0.6599 -0.6894 -0.2988 44.0 0.6943 -0.7196 0.0126 136.5 0.6888 -0.7248 -0.0127 2 8 320.8 -15.3 0.7477 -0.6092 -0.2641 51.0 0.7776 -0.6286 0.0110 129.4 0.7729 -0.6344 -0.0111 2 15 327.7 -13.0 0.8239 -0.5200 -0.2254 57.9 0.8475 -0.5307 0.0093 122.4 0.8439 -0.5365 -0.0094 2 22 334.5 -10.6 0.8873 -0.4231 -0.1834 64.7 0.9039 -0.4276 0.0075 115.7 0.9014 -0.4329 -0.0076 3 1 342.1 -7.6 0.9431 -0.3050 -0.1322 72.2 0.9522 -0.3055 0.0053 108.0 0.9508 -0.3097 -0.0054 3 8 348.6 -4.9 0.9767 -0.1970 -0.0854 78.7 0.9805 -0.1963 0.0034 101.5 0.9800 -0.1991 -0.0035 3 15 355.0 -2.2 0.9955 -0.0866 -0.0375 85.1 0.9963 -0.0859 0.0015 95.0 0.9962 -0.0872 -0.0015 3 22 1.4 0.6 0.9996 0.0248 0.0107 91.4 0.9997 0.0246 -0.0004 88.6 0.9997 0.0250 0.0004 4 1 10.5 4.5 0.9801 0.1821 0.0789 100.4 0.9834 0.1813 -0.0032 79.4 0.9829 0.1839 0.0032 4 8 16.9 7.2 0.9492 0.2887 0.1251 106.8 0.9573 0.2889 -0.0050 73.0 0.9561 0.2929 0.0051 4 15 23.4 9.8 0.9048 0.3908 0.1694 113.2 0.9191 0.3939 -0.0069 66.5 0.9170 0.3989 0.0070 4 22 29.9 12.2 0.8476 0.4869 0.2110 119.7 0.8688 0.4951 -0.0086 59.9 0.8655 0.5008 0.0087 5 1 38.4 15.1 0.7569 0.5996 0.2599 128.2 0.7862 0.6179 -0.0108 51.4 0.7816 0.6236 0.0109 5 8 45.1 17.1 0.6745 0.6774 0.2936 134.9 0.7083 0.7058 -0.0123 44.7 0.7029 0.7111 0.0124 5 15 52.0 18.9 0.5829 0.7455 0.3232 141.8 0.6189 0.7854 -0.0137 37.8 0.6131 0.7899 0.0138 5 22 59.0 20.4 0.4834 0.8032 0.3482 148.8 0.5186 0.8549 -0.0149 30.9 0.5129 0.8583 0.0150 6 1 69.1 22.0 0.3307 0.8659 0.3753 158.9 0.3592 0.9331 -0.0163 20.8 0.3545 0.9349 0.0163 6 8 76.3 22.8 0.2183 0.8954 0.3881 166.2 0.2386 0.9710 -0.0169 13.6 0.2352 0.9718 0.0170 6 15 83.6 23.3 0.1031 0.9126 0.3956 173.5 0.1131 0.9934 -0.0173 6.4 0.1115 0.9936 0.0173 6 22 90.8 23.4 -0.0133 0.9174 0.3977 180.8 -0.0146 0.9997 -0.0175 359.2 -0.0144 0.9997 0.0175 7 1 100.2 23.1 -0.1624 0.9053 0.3924 190.2 -0.1779 0.9839 -0.0172 349.9 -0.1753 0.9844 0.0172 7 8 107.4 22.5 -0.2760 0.8819 0.3823 197.5 -0.3008 0.9536 -0.0166 342.7 -0.2967 0.9548 0.0167 7 15 114.5 21.5 -0.3858 0.8465 0.3669 204.7 -0.4174 0.9086 -0.0159 335.7 -0.4122 0.9109 0.0159 7 22 121.5 20.3 -0.4905 0.7995 0.3466 211.7 -0.5259 0.8504 -0.0148 328.7 -0.5201 0.8540 0.0149 8 1 131.4 18.0 -0.6284 0.7137 0.3094 221.6 -0.6637 0.7479 -0.0131 318.8 -0.6580 0.7529 0.0131 8 8 138.1 16.1 -0.7149 0.6416 0.2781 228.3 -0.7468 0.6650 -0.0116 312.1 -0.7418 0.6705 0.0117 8 15 144.7 14.1 -0.7918 0.5605 0.2429 234.9 -0.8183 0.5747 -0.0100 305.5 -0.8142 0.5805 0.0101 8 22 151.2 11.8 -0.8579 0.4714 0.2044 241.4 -0.8780 0.4786 -0.0084 299.0 -0.8749 0.4842 0.0085 9 1 160.4 8.3 -0.9319 0.3327 0.1442 250.5 -0.9426 0.3339 -0.0058 289.8 -0.9410 0.3384 0.0059 9 8 166.7 5.7 -0.9682 0.2294 0.0994 256.8 -0.9735 0.2288 -0.0040 283.4 -0.9727 0.2321 0.0041 9 15 173.0 3.0 -0.9911 0.1225 0.0531 263.0 -0.9926 0.1217 -0.0021 277.1 -0.9923 0.1235 0.0022 9 22 179.2 0.3 -0.9999 0.0134 0.0058 269.2 -0.9999 0.0133 -0.0002 270.8 -0.9999 0.0135 0.0002 10 1 187.3 -3.2 -0.9903 -0.1275 -0.0553 277.3 -0.9919 -0.1267 0.0022 262.6 -0.9917 -0.1286 -0.0022 10 8 193.7 -5.9 -0.9664 -0.2357 -0.1022 283.6 -0.9719 -0.2352 0.0041 256.2 -0.9711 -0.2385 -0.0042 10 15 200.2 -8.5 -0.9284 -0.3409 -0.1478 290.0 -0.9396 -0.3422 0.0060 249.7 -0.9379 -0.3468 -0.0061 10 22 206.7 -11.0 -0.8766 -0.4414 -0.1914 296.6 -0.8945 -0.4469 0.0078 243.1 -0.8918 -0.4523 -0.0079 11 1 216.4 -14.4 -0.7800 -0.5741 -0.2489 306.1 -0.8076 -0.5897 0.0103 233.4 -0.8033 -0.5955 -0.0104 11 8 223.3 -16.6 -0.6978 -0.6572 -0.2849 313.1 -0.7306 -0.6827 0.0119 226.5 -0.7254 -0.6882 -0.0120 11 15 230.4 -18.5 -0.6047 -0.7307 -0.3168 320.2 -0.6405 -0.7679 0.0134 219.4 -0.6348 -0.7726 -0.0135 11 22 237.7 -20.1 -0.5022 -0.7934 -0.3439 327.5 -0.5378 -0.8429 0.0147 212.1 -0.5320 -0.8466 -0.0148 12 1 247.3 -21.8 -0.3590 -0.8563 -0.3712 337.1 -0.3892 -0.9210 0.0161 202.6 -0.3842 -0.9231 -0.0161 12 8 254.9 -22.7 -0.2409 -0.8905 -0.3860 344.8 -0.2630 -0.9647 0.0168 195.0 -0.2593 -0.9656 -0.0169 12 15 262.6 -23.3 -0.1188 -0.9110 -0.3949 352.5 -0.1303 -0.9913 0.0173 187.4 -0.1284 -0.9916 -0.0173 12 22 270.3 -23.4 0.0053 -0.9175 -0.3977 0.3 0.0058 -0.9998 0.0175 179.7 0.0057 -0.9998 -0.0175