Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 2.48 17.56 0.98 2.6E+4 -2.7 3.3 66.5 12 12 0 3.92 17.50 0.98 2.6E+4 -2.7 3.3 66.5 12 18 0 5.37 17.43 0.98 2.6E+4 -2.7 3.3 66.4 12 24 0 6.81 17.32 0.98 2.6E+4 -2.7 3.3 66.4 12 30 0 8.24 17.19 0.98 2.6E+4 -2.7 3.3 66.3 12 36 0 9.68 17.04 0.98 2.5E+4 -2.7 3.3 66.3 12 42 0 11.11 16.87 0.98 2.5E+4 -2.7 3.3 66.2 12 48 0 12.53 16.66 0.98 2.4E+4 -2.7 3.3 66.1 12 54 0 13.95 16.44 0.98 2.4E+4 -2.7 3.3 66.1 13 0 0 15.36 16.19 0.98 2.3E+4 -2.7 3.3 66.0 13 6 0 16.77 15.92 0.98 2.3E+4 -2.7 3.3 66.0 13 12 0 18.17 15.63 0.98 2.2E+4 -2.7 3.3 65.9 13 18 0 19.56 15.31 0.98 2.2E+4 -2.7 3.3 65.9 13 24 0 20.94 14.97 0.98 2.1E+4 -2.7 3.3 65.8 13 30 0 22.32 14.61 0.98 2.0E+4 -2.7 3.3 65.8 13 36 0 23.68 14.23 0.98 1.9E+4 -2.7 3.3 65.7 13 42 0 25.04 13.83 0.98 1.9E+4 -2.7 3.3 65.7 13 48 0 26.39 13.40 0.98 1.8E+4 -2.7 3.3 65.6 13 54 0 27.73 12.95 0.98 1.7E+4 -2.7 3.3 65.5 14 0 0 29.06 12.49 0.98 1.6E+4 -2.7 3.3 65.5 14 6 0 30.38 12.00 0.98 1.5E+4 -2.7 3.3 65.4 14 12 0 31.69 11.50 0.98 1.4E+4 -2.7 3.3 65.4 14 18 0 32.99 10.97 0.98 1.3E+4 -2.7 3.3 65.3 14 24 0 34.28 10.43 0.98 1.2E+4 -2.7 3.3 65.3 14 30 0 35.56 9.87 0.98 1.1E+4 -2.7 3.3 65.2 14 36 0 36.83 9.29 0.98 9.7E+3 -2.7 3.3 65.2 14 42 0 38.09 8.70 0.98 8.6E+3 -2.7 3.3 65.1 14 48 0 39.33 8.09 0.98 7.5E+3 -2.7 3.3 65.0 14 54 0 40.57 7.46 0.98 6.5E+3 -2.7 3.3 65.0 15 0 0 41.80 6.81 0.98 5.4E+3 -2.7 3.3 64.9 15 6 0 43.02 6.15 0.98 4.4E+3 -2.7 3.3 64.9 15 12 0 44.22 5.47 0.98 3.5E+3 -2.7 3.3 64.8 15 18 0 45.42 4.78 0.98 2.6E+3 -2.7 3.3 64.8 15 24 0 46.61 4.08 0.98 1.8E+3 -2.7 3.3 64.7 15 30 0 47.79 3.36 0.98 1.2E+3 -2.7 3.3 64.7 15 36 0 48.96 2.63 0.98 6.6E+2 -2.7 3.3 64.6 15 42 0 50.12 1.88 0.98 2.9E+2 -2.7 3.3 64.6 15 48 0 51.27 1.13 0.98 8.4E+1 -2.7 3.2 64.5 15 54 0 52.41 0.36 0.98 8.0E+0 -2.7 3.2 64.4 16 0 0 53.55 -0.43 0.98 0 -2.7 3.2 64.4 16 6 0 54.68 -1.22 0.98 0 -2.7 3.2 64.3 16 12 0 55.79 -2.03 0.98 0 -2.7 3.2 64.3 16 18 0 56.91 -2.84 0.98 0 -2.7 3.2 64.2 16 24 0 58.01 -3.67 0.98 0 -2.7 3.2 64.2 16 30 0 59.11 -4.50 0.98 0 -2.7 3.2 64.1 16 36 0 60.20 -5.35 0.98 0 -2.7 3.2 64.1 16 42 0 61.29 -6.20 0.98 0 -2.7 3.2 64.0 16 48 0 62.37 -7.07 0.98 0 -2.7 3.2 63.9 16 54 0 63.45 -7.94 0.98 0 -2.7 3.2 63.9 17 0 0 64.52 -8.82 0.98 0 -2.7 3.2 63.8 17 6 0 65.59 -9.71 0.98 0 -2.7 3.2 63.8 17 12 0 66.65 -10.60 0.98 0 -2.7 3.2 63.7 17 18 0 67.71 -11.50 0.98 0 -2.7 3.2 63.7 17 24 0 68.77 -12.41 0.98 0 -2.8 3.2 63.6 17 30 0 69.83 -13.33 0.98 0 -2.8 3.2 63.6 17 36 0 70.88 -14.25 0.98 0 -2.8 3.2 63.5 17 42 0 71.94 -15.18 0.98 0 -2.8 3.2 63.5 17 48 0 72.99 -16.12 0.98 0 -2.8 3.2 63.4 17 54 0 74.04 -17.06 0.98 0 -2.8 3.2 63.3 18 0 0 75.09 -18.00 0.98 0 -2.8 3.2 63.3 18 6 0 76.15 -18.95 0.98 0 -2.8 3.2 63.2 18 12 0 77.20 -19.90 0.98 0 -2.8 3.2 63.2 18 18 0 78.26 -20.86 0.98 0 -2.8 3.2 63.1 18 24 0 79.32 -21.82 0.98 0 -2.8 3.2 63.1 18 30 0 80.39 -22.78 0.98 0 -2.8 3.2 63.0 18 36 0 81.46 -23.75 0.98 0 -2.8 3.2 63.0 18 42 0 82.53 -24.72 0.98 0 -2.8 3.2 62.9 18 48 0 83.61 -25.69 0.98 0 -2.8 3.2 62.9 18 54 0 84.70 -26.67 0.98 0 -2.8 3.2 62.8 19 0 0 85.79 -27.64 0.98 0 -2.8 3.2 62.7 19 6 0 86.89 -28.62 0.98 0 -2.8 3.2 62.7 19 12 0 88.00 -29.60 0.98 0 -2.8 3.2 62.6 19 18 0 89.12 -30.58 0.98 0 -2.8 3.2 62.6 19 24 0 90.26 -31.56 0.98 0 -2.8 3.2 62.5 19 30 0 91.40 -32.54 0.98 0 -2.8 3.2 62.5 19 36 0 92.56 -33.52 0.98 0 -2.8 3.2 62.4 19 42 0 93.73 -34.50 0.98 0 -2.8 3.2 62.4 19 48 0 94.92 -35.47 0.98 0 -2.8 3.2 62.3 19 54 0 96.12 -36.45 0.98 0 -2.8 3.2 62.2 20 0 0 97.34 -37.42 0.98 0 -2.8 3.2 62.2 20 6 0 98.58 -38.39 0.98 0 -2.8 3.2 62.1 20 12 0 99.84 -39.36 0.98 0 -2.8 3.2 62.1 20 18 0 101.13 -40.32 0.98 0 -2.8 3.2 62.0 20 24 0 102.44 -41.28 0.98 0 -2.8 3.2 62.0 20 30 0 103.77 -42.23 0.98 0 -2.8 3.2 61.9 20 36 0 105.13 -43.18 0.98 0 -2.8 3.2 61.9 20 42 0 106.52 -44.13 0.98 0 -2.8 3.2 61.8 20 48 0 107.94 -45.06 0.98 0 -2.8 3.1 61.8 20 54 0 109.40 -45.99 0.98 0 -2.8 3.1 61.7 21 0 0 110.89 -46.91 0.98 0 -2.8 3.1 61.6 21 6 0 112.42 -47.82 0.98 0 -2.8 3.1 61.6 21 12 0 113.99 -48.72 0.98 0 -2.8 3.1 61.5 21 18 0 115.60 -49.61 0.98 0 -2.8 3.1 61.5 21 24 0 117.25 -50.49 0.98 0 -2.8 3.1 61.4 21 30 0 118.96 -51.35 0.98 0 -2.8 3.1 61.4 21 36 0 120.71 -52.20 0.98 0 -2.8 3.1 61.3 21 42 0 122.52 -53.03 0.98 0 -2.8 3.1 61.3 21 48 0 124.38 -53.85 0.98 0 -2.8 3.1 61.2 21 54 0 126.30 -54.65 0.98 0 -2.8 3.1 61.2 22 0 0 128.29 -55.43 0.98 0 -2.8 3.1 61.1 22 6 0 130.34 -56.19 0.98 0 -2.8 3.1 61.0 22 12 0 132.45 -56.92 0.98 0 -2.8 3.1 61.0 22 18 0 134.64 -57.63 0.98 0 -2.8 3.1 60.9 22 24 0 136.90 -58.32 0.98 0 -2.8 3.1 60.9 22 30 0 139.23 -58.97 0.98 0 -2.8 3.1 60.8 22 36 0 141.64 -59.59 0.98 0 -2.8 3.1 60.8 22 42 0 144.12 -60.19 0.98 0 -2.8 3.1 60.7 22 48 0 146.68 -60.74 0.98 0 -2.8 3.1 60.7 22 54 0 149.31 -61.26 0.98 0 -2.8 3.1 60.6 23 0 0 152.02 -61.74 0.98 0 -2.8 3.1 60.5 23 6 0 154.80 -62.18 0.98 0 -2.8 3.1 60.5 23 12 0 157.65 -62.57 0.98 0 -2.8 3.1 60.4 23 18 0 160.56 -62.92 0.98 0 -2.8 3.1 60.4 23 24 0 163.53 -63.22 0.98 0 -2.8 3.1 60.3 23 30 0 166.55 -63.48 0.98 0 -2.8 3.1 60.3 23 36 0 169.62 -63.68 0.98 0 -2.8 3.1 60.2 23 42 0 172.72 -63.83 0.98 0 -2.8 3.1 60.2 23 48 0 175.84 -63.93 0.98 0 -2.8 3.1 60.1 23 54 0 178.98 -63.97 0.98 0 -2.8 3.1 60.1 0 0 0 -177.88 -63.96 0.98 0 -2.8 3.1 60.0 0 6 0 -174.75 -63.90 0.98 0 -2.8 3.1 59.9 0 12 0 -171.63 -63.78 0.98 0 -2.8 3.1 59.9 0 18 0 -168.54 -63.61 0.98 0 -2.8 3.1 59.8 0 24 0 -165.49 -63.39 0.98 0 -2.8 3.1 59.8 0 30 0 -162.49 -63.12 0.98 0 -2.8 3.1 59.7 0 36 0 -159.54 -62.80 0.98 0 -2.8 3.1 59.7 0 42 0 -156.65 -62.44 0.98 0 -2.8 3.1 59.6 0 48 0 -153.82 -62.03 0.98 0 -2.8 3.1 59.6 0 54 0 -151.07 -61.57 0.98 0 -2.8 3.1 59.5 1 0 0 -148.39 -61.08 0.98 0 -2.8 3.1 59.4 1 6 0 -145.78 -60.55 0.98 0 -2.8 3.1 59.4 1 12 0 -143.25 -59.98 0.98 0 -2.8 3.1 59.3 1 18 0 -140.79 -59.37 0.98 0 -2.8 3.1 59.3 1 24 0 -138.41 -58.74 0.98 0 -2.8 3.1 59.2 1 30 0 -136.11 -58.07 0.98 0 -2.8 3.1 59.2 1 36 0 -133.88 -57.38 0.98 0 -2.8 3.1 59.1 1 42 0 -131.71 -56.66 0.98 0 -2.8 3.0 59.1 1 48 0 -129.62 -55.92 0.98 0 -2.8 3.0 59.0 1 54 0 -127.60 -55.15 0.98 0 -2.8 3.0 59.0 2 0 0 -125.64 -54.36 0.98 0 -2.8 3.0 58.9 2 6 0 -123.73 -53.56 0.98 0 -2.8 3.0 58.8 2 12 0 -121.89 -52.73 0.98 0 -2.8 3.0 58.8 2 18 0 -120.10 -51.89 0.98 0 -2.8 3.0 58.7 2 24 0 -118.37 -51.04 0.98 0 -2.8 3.0 58.7 2 30 0 -116.68 -50.17 0.98 0 -2.8 3.0 58.6 2 36 0 -115.04 -49.29 0.98 0 -2.8 3.0 58.6 2 42 0 -113.45 -48.39 0.98 0 -2.8 3.0 58.5 2 48 0 -111.89 -47.49 0.98 0 -2.8 3.0 58.5 2 54 0 -110.38 -46.58 0.98 0 -2.8 3.0 58.4 3 0 0 -108.90 -45.65 0.98 0 -2.8 3.0 58.4 3 6 0 -107.46 -44.72 0.98 0 -2.8 3.0 58.3 3 12 0 -106.05 -43.78 0.98 0 -2.8 3.0 58.2 3 18 0 -104.67 -42.84 0.98 0 -2.8 3.0 58.2 3 24 0 -103.32 -41.89 0.98 0 -2.8 3.0 58.1 3 30 0 -101.99 -40.93 0.98 0 -2.8 3.0 58.1 3 36 0 -100.69 -39.97 0.98 0 -2.8 3.0 58.0 3 42 0 -99.42 -39.01 0.98 0 -2.8 3.0 58.0 3 48 0 -98.16 -38.04 0.98 0 -2.8 3.0 57.9 3 54 0 -96.93 -37.07 0.98 0 -2.8 3.0 57.9 4 0 0 -95.72 -36.09 0.98 0 -2.8 3.0 57.8 4 6 0 -94.52 -35.12 0.98 0 -2.8 3.0 57.7 4 12 0 -93.34 -34.14 0.98 0 -2.8 3.0 57.7 4 18 0 -92.17 -33.16 0.98 0 -2.8 3.0 57.6 4 24 0 -91.02 -32.18 0.98 0 -2.8 3.0 57.6 4 30 0 -89.88 -31.20 0.98 0 -2.8 3.0 57.5 4 36 0 -88.75 -30.22 0.98 0 -2.8 3.0 57.5 4 42 0 -87.63 -29.24 0.98 0 -2.8 3.0 57.4 4 48 0 -86.53 -28.26 0.98 0 -2.8 3.0 57.4 4 54 0 -85.43 -27.28 0.98 0 -2.8 3.0 57.3 5 0 0 -84.34 -26.31 0.98 0 -2.8 3.0 57.3 5 6 0 -83.25 -25.33 0.98 0 -2.8 3.0 57.2 5 12 0 -82.18 -24.36 0.98 0 -2.8 3.0 57.1 5 18 0 -81.10 -23.39 0.98 0 -2.8 3.0 57.1 5 24 0 -80.04 -22.43 0.98 0 -2.8 3.0 57.0 5 30 0 -78.97 -21.46 0.98 0 -2.8 3.0 57.0 5 36 0 -77.91 -20.50 0.98 0 -2.8 3.0 56.9 5 42 0 -76.86 -19.55 0.98 0 -2.8 3.0 56.9 5 48 0 -75.80 -18.59 0.98 0 -2.8 3.0 56.8 5 54 0 -74.75 -17.65 0.98 0 -2.8 3.0 56.8 6 0 0 -73.70 -16.70 0.98 0 -2.8 3.0 56.7 6 6 0 -72.64 -15.76 0.98 0 -2.8 3.0 56.7 6 12 0 -71.59 -14.83 0.98 0 -2.8 3.0 56.6 6 18 0 -70.54 -13.90 0.98 0 -2.8 3.0 56.5 6 24 0 -69.48 -12.98 0.98 0 -2.8 3.0 56.5 6 30 0 -68.43 -12.07 0.98 0 -2.8 3.0 56.4 6 36 0 -67.37 -11.16 0.98 0 -2.8 3.0 56.4 6 42 0 -66.30 -10.26 0.98 0 -2.8 2.9 56.3 6 48 0 -65.24 -9.37 0.98 0 -2.8 2.9 56.3 6 54 0 -64.17 -8.48 0.98 0 -2.8 2.9 56.2 7 0 0 -63.10 -7.60 0.98 0 -2.8 2.9 56.2 7 6 0 -62.02 -6.73 0.98 0 -2.8 2.9 56.1 7 12 0 -60.94 -5.87 0.98 0 -2.8 2.9 56.0 7 18 0 -59.85 -5.02 0.98 0 -2.8 2.9 56.0 7 24 0 -58.75 -4.18 0.98 0 -2.8 2.9 55.9 7 30 0 -57.65 -3.34 0.98 0 -2.8 2.9 55.9 7 36 0 -56.54 -2.52 0.98 0 -2.8 2.9 55.8 7 42 0 -55.43 -1.71 0.98 0 -2.8 2.9 55.8 7 48 0 -54.31 -0.91 0.98 0 -2.8 2.9 55.7 7 54 0 -53.18 -0.12 0.98 0 -2.8 2.9 55.7 8 0 0 -52.04 0.66 0.98 2.6E+1 -2.8 2.9 55.6 8 6 0 -50.89 1.43 0.98 1.5E+2 -2.8 2.9 55.6 8 12 0 -49.74 2.18 0.98 4.2E+2 -2.8 2.9 55.5 8 18 0 -48.57 2.92 0.98 8.5E+2 -2.8 2.9 55.4 8 24 0 -47.40 3.65 0.98 1.4E+3 -2.8 2.9 55.4 8 30 0 -46.22 4.37 0.98 2.1E+3 -2.8 2.9 55.3 8 36 0 -45.03 5.07 0.98 3.0E+3 -2.8 2.9 55.3 8 42 0 -43.83 5.75 0.98 3.9E+3 -2.8 2.9 55.2 8 48 0 -42.62 6.43 0.98 4.8E+3 -2.8 2.9 55.2 8 54 0 -41.39 7.08 0.98 5.9E+3 -2.8 2.9 55.1 9 0 0 -40.16 7.72 0.98 6.9E+3 -2.8 2.9 55.1 9 6 0 -38.92 8.35 0.98 8.0E+3 -2.8 2.9 55.0 9 12 0 -37.67 8.95 0.98 9.1E+3 -2.8 2.9 54.9 9 18 0 -36.41 9.54 0.98 1.0E+4 -2.8 2.9 54.9 9 24 0 -35.13 10.12 0.98 1.1E+4 -2.8 2.9 54.8 9 30 0 -33.85 10.67 0.98 1.2E+4 -2.8 2.9 54.8 9 36 0 -32.56 11.21 0.98 1.3E+4 -2.8 2.9 54.7 9 42 0 -31.25 11.73 0.98 1.4E+4 -2.8 2.9 54.7 9 48 0 -29.94 12.23 0.98 1.5E+4 -2.8 2.9 54.6 9 54 0 -28.62 12.70 0.98 1.6E+4 -2.8 2.9 54.6 10 0 0 -27.28 13.16 0.98 1.7E+4 -2.8 2.9 54.5 10 6 0 -25.94 13.60 0.98 1.8E+4 -2.8 2.9 54.5 10 12 0 -24.59 14.02 0.98 1.9E+4 -2.8 2.9 54.4 10 18 0 -23.22 14.42 0.98 2.0E+4 -2.8 2.9 54.3 10 24 0 -21.85 14.79 0.98 2.1E+4 -2.8 2.9 54.3 10 30 0 -20.47 15.15 0.98 2.1E+4 -2.8 2.9 54.2 10 36 0 -19.09 15.48 0.98 2.2E+4 -2.8 2.9 54.2 10 42 0 -17.69 15.79 0.98 2.3E+4 -2.8 2.9 54.1 10 48 0 -16.29 16.08 0.98 2.3E+4 -2.8 2.9 54.1 10 54 0 -14.88 16.34 0.98 2.4E+4 -2.8 2.9 54.0 11 0 0 -13.46 16.58 0.98 2.4E+4 -2.8 2.9 54.0 11 6 0 -12.04 16.80 0.98 2.5E+4 -2.8 2.9 53.9 11 12 0 -10.61 16.99 0.98 2.5E+4 -2.8 2.9 53.9 11 18 0 -9.18 17.16 0.98 2.6E+4 -2.8 2.9 53.8 11 24 0 -7.75 17.30 0.98 2.6E+4 -2.8 2.9 53.7 11 30 0 -6.31 17.42 0.98 2.6E+4 -2.8 2.9 53.7 11 36 0 -4.87 17.52 0.98 2.6E+4 -2.8 2.8 53.6 11 42 0 -3.42 17.59 0.98 2.6E+4 -2.8 2.8 53.6 11 48 0 -1.98 17.64 0.98 2.7E+4 -2.8 2.8 53.5 11 54 0 -0.53 17.66 0.98 2.7E+4 -2.8 2.8 53.5 12 0 0 0.92 17.65 0.98 2.7E+4 -2.8 2.8 53.4 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7:49 16: 3 0.0 -23.21 -2.1 15.77 -35.9 2.66 -6.0 7:11 16:40 37.7 -23.21 -2.1 14.51 -29.0 0.50 -12.0 6:30 17:21 78.4 -23.21 -2.1 13.15 -21.7 -2.05 -18.0 5:52 17:60 117.1 -23.21 -2.1 11.86 -14.9 -3.15 from 4 values is 6:50 17: 1 58.3 -23.21 -2.1 13.82 -25.4 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7:49 16: 4 0.0 -23.14 -2.6 15.75 -35.8 2.66 -6.0 7:11 16:41 37.7 -23.14 -2.6 14.50 -28.9 0.50 -12.0 6:31 17:22 78.3 -23.14 -2.6 13.14 -21.6 -2.05 -18.0 5:52 18: 1 117.0 -23.14 -2.6 11.85 -14.8 -3.15 from 4 values is 6:51 17: 2 58.3 -23.14 -2.6 13.81 -25.3 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 -145.72 -9.51 57.957 148 -12.00 -3.9 -11.3 -5.3 63.6 12 12 0 -144.52 -8.96 57.944 148 -12.01 -3.9 -11.2 -5.3 63.6 12 18 0 -143.33 -8.41 57.931 148 -12.01 -3.9 -11.2 -5.2 63.7 12 24 0 -142.15 -7.83 57.917 148 -12.01 -3.9 -11.2 -5.2 63.7 12 30 0 -140.98 -7.24 57.903 148 -12.01 -3.9 -11.1 -5.2 63.8 12 36 0 -139.82 -6.64 57.889 149 -12.02 -3.9 -11.1 -5.2 63.8 12 42 0 -138.67 -6.02 57.875 149 -12.02 -3.9 -11.1 -5.2 63.9 12 48 0 -137.52 -5.39 57.861 149 -12.02 -3.9 -11.1 -5.2 63.9 12 54 0 -136.39 -4.74 57.846 149 -12.02 -3.8 -11.0 -5.1 64.0 13 0 0 -135.26 -4.08 57.831 149 -12.02 -3.8 -11.0 -5.1 64.0 13 6 0 -134.15 -3.41 57.816 149 -12.03 -3.8 -11.0 -5.1 64.1 13 12 0 -133.04 -2.72 57.800 149 -12.03 -3.8 -11.0 -5.1 64.1 13 18 0 -131.94 -2.02 57.784 149 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PhA