Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 6.34 19.85 0.99 3.1E+4 1.6 18.3 82.8 12 12 0 7.83 19.73 0.99 3.1E+4 1.6 18.3 82.7 12 18 0 9.31 19.58 0.99 3.0E+4 1.6 18.3 82.7 12 24 0 10.79 19.41 0.99 3.0E+4 1.6 18.3 82.6 12 30 0 12.26 19.22 0.99 3.0E+4 1.6 18.3 82.6 12 36 0 13.72 18.99 0.99 2.9E+4 1.6 18.3 82.5 12 42 0 15.18 18.75 0.99 2.9E+4 1.6 18.3 82.5 12 48 0 16.64 18.48 0.99 2.8E+4 1.6 18.3 82.4 12 54 0 18.08 18.19 0.99 2.7E+4 1.6 18.3 82.3 13 0 0 19.52 17.87 0.99 2.7E+4 1.6 18.3 82.3 13 6 0 20.95 17.53 0.99 2.6E+4 1.6 18.3 82.2 13 12 0 22.37 17.17 0.99 2.5E+4 1.6 18.3 82.2 13 18 0 23.78 16.78 0.99 2.5E+4 1.6 18.3 82.1 13 24 0 25.18 16.38 0.99 2.4E+4 1.6 18.3 82.1 13 30 0 26.57 15.95 0.99 2.3E+4 1.6 18.3 82.0 13 36 0 27.95 15.50 0.99 2.2E+4 1.6 18.3 82.0 13 42 0 29.32 15.03 0.99 2.1E+4 1.6 18.3 81.9 13 48 0 30.68 14.54 0.99 2.0E+4 1.6 18.3 81.8 13 54 0 32.02 14.03 0.99 1.9E+4 1.6 18.3 81.8 14 0 0 33.36 13.50 0.99 1.8E+4 1.6 18.2 81.7 14 6 0 34.69 12.95 0.99 1.7E+4 1.6 18.2 81.7 14 12 0 36.00 12.38 0.99 1.6E+4 1.6 18.2 81.6 14 18 0 37.30 11.79 0.99 1.4E+4 1.6 18.2 81.6 14 24 0 38.60 11.19 0.99 1.3E+4 1.6 18.2 81.5 14 30 0 39.88 10.57 0.99 1.2E+4 1.6 18.2 81.5 14 36 0 41.15 9.93 0.99 1.1E+4 1.6 18.2 81.4 14 42 0 42.41 9.28 0.99 9.6E+3 1.6 18.2 81.4 14 48 0 43.65 8.61 0.99 8.4E+3 1.6 18.2 81.3 14 54 0 44.89 7.93 0.99 7.2E+3 1.6 18.2 81.2 15 0 0 46.12 7.23 0.99 6.0E+3 1.6 18.2 81.2 15 6 0 47.33 6.51 0.99 4.9E+3 1.6 18.2 81.1 15 12 0 48.54 5.78 0.99 3.9E+3 1.6 18.2 81.1 15 18 0 49.73 5.04 0.99 2.9E+3 1.6 18.2 81.0 15 24 0 50.92 4.29 0.99 2.0E+3 1.6 18.2 81.0 15 30 0 52.10 3.52 0.99 1.3E+3 1.6 18.2 80.9 15 36 0 53.26 2.74 0.99 7.2E+2 1.6 18.2 80.9 15 42 0 54.42 1.95 0.99 3.1E+2 1.6 18.2 80.8 15 48 0 55.57 1.14 0.99 8.7E+1 1.6 18.2 80.7 15 54 0 56.71 0.33 0.99 7.0E+0 1.6 18.2 80.7 16 0 0 57.85 -0.50 0.99 0 1.6 18.2 80.6 16 6 0 58.97 -1.33 0.99 0 1.6 18.2 80.6 16 12 0 60.09 -2.18 0.99 0 1.6 18.2 80.5 16 18 0 61.21 -3.03 0.99 0 1.6 18.2 80.5 16 24 0 62.31 -3.90 0.99 0 1.6 18.2 80.4 16 30 0 63.41 -4.77 0.99 0 1.6 18.2 80.4 16 36 0 64.51 -5.65 0.99 0 1.6 18.2 80.3 16 42 0 65.60 -6.54 0.99 0 1.6 18.2 80.3 16 48 0 66.69 -7.43 0.99 0 1.6 18.2 80.2 16 54 0 67.77 -8.34 0.99 0 1.6 18.2 80.1 17 0 0 68.85 -9.25 0.99 0 1.6 18.2 80.1 17 6 0 69.92 -10.17 0.99 0 1.6 18.2 80.0 17 12 0 71.00 -11.09 0.99 0 1.6 18.2 80.0 17 18 0 72.07 -12.02 0.99 0 1.6 18.2 79.9 17 24 0 73.14 -12.96 0.99 0 1.6 18.2 79.9 17 30 0 74.21 -13.90 0.99 0 1.6 18.2 79.8 17 36 0 75.27 -14.84 0.99 0 1.6 18.2 79.8 17 42 0 76.34 -15.80 0.99 0 1.6 18.2 79.7 17 48 0 77.41 -16.75 0.99 0 1.6 18.2 79.7 17 54 0 78.48 -17.71 0.99 0 1.6 18.2 79.6 18 0 0 79.56 -18.67 0.99 0 1.6 18.2 79.5 18 6 0 80.63 -19.64 0.99 0 1.6 18.2 79.5 18 12 0 81.71 -20.61 0.99 0 1.6 18.2 79.4 18 18 0 82.80 -21.58 0.99 0 1.6 18.2 79.4 18 24 0 83.89 -22.55 0.99 0 1.6 18.2 79.3 18 30 0 84.98 -23.53 0.99 0 1.6 18.2 79.3 18 36 0 86.08 -24.51 0.99 0 1.6 18.2 79.2 18 42 0 87.19 -25.48 0.99 0 1.6 18.2 79.2 18 48 0 88.30 -26.46 0.99 0 1.6 18.2 79.1 18 54 0 89.43 -27.44 0.99 0 1.6 18.2 79.0 19 0 0 90.56 -28.42 0.99 0 1.6 18.2 79.0 19 6 0 91.71 -29.40 0.99 0 1.6 18.2 78.9 19 12 0 92.87 -30.38 0.99 0 1.6 18.2 78.9 19 18 0 94.04 -31.36 0.99 0 1.6 18.2 78.8 19 24 0 95.22 -32.34 0.99 0 1.6 18.2 78.8 19 30 0 96.42 -33.32 0.99 0 1.6 18.2 78.7 19 36 0 97.63 -34.29 0.99 0 1.6 18.2 78.7 19 42 0 98.87 -35.26 0.99 0 1.6 18.2 78.6 19 48 0 100.12 -36.23 0.99 0 1.6 18.2 78.6 19 54 0 101.39 -37.19 0.99 0 1.6 18.2 78.5 20 0 0 102.68 -38.15 0.99 0 1.6 18.2 78.4 20 6 0 104.00 -39.10 0.99 0 1.6 18.2 78.4 20 12 0 105.33 -40.05 0.99 0 1.6 18.2 78.3 20 18 0 106.70 -40.99 0.99 0 1.6 18.2 78.3 20 24 0 108.09 -41.93 0.99 0 1.6 18.2 78.2 20 30 0 109.52 -42.86 0.99 0 1.6 18.2 78.2 20 36 0 110.97 -43.78 0.99 0 1.6 18.2 78.1 20 42 0 112.46 -44.69 0.99 0 1.6 18.2 78.1 20 48 0 113.98 -45.59 0.99 0 1.6 18.2 78.0 20 54 0 115.54 -46.48 0.99 0 1.6 18.1 77.9 21 0 0 117.14 -47.36 0.99 0 1.6 18.1 77.9 21 6 0 118.78 -48.23 0.99 0 1.6 18.1 77.8 21 12 0 120.47 -49.08 0.99 0 1.6 18.1 77.8 21 18 0 122.20 -49.92 0.99 0 1.6 18.1 77.7 21 24 0 123.98 -50.74 0.99 0 1.6 18.1 77.7 21 30 0 125.81 -51.54 0.99 0 1.6 18.1 77.6 21 36 0 127.69 -52.33 0.99 0 1.6 18.1 77.6 21 42 0 129.63 -53.09 0.99 0 1.6 18.1 77.5 21 48 0 131.63 -53.84 0.99 0 1.6 18.1 77.5 21 54 0 133.68 -54.56 0.99 0 1.6 18.1 77.4 22 0 0 135.80 -55.26 0.99 0 1.6 18.1 77.3 22 6 0 137.98 -55.93 0.99 0 1.6 18.1 77.3 22 12 0 140.22 -56.57 0.99 0 1.6 18.1 77.2 22 18 0 142.53 -57.18 0.99 0 1.6 18.1 77.2 22 24 0 144.90 -57.76 0.99 0 1.6 18.1 77.1 22 30 0 147.34 -58.31 0.99 0 1.6 18.1 77.1 22 36 0 149.84 -58.82 0.99 0 1.6 18.1 77.0 22 42 0 152.41 -59.29 0.99 0 1.6 18.1 77.0 22 48 0 155.03 -59.73 0.99 0 1.6 18.1 76.9 22 54 0 157.72 -60.12 0.99 0 1.6 18.1 76.8 23 0 0 160.46 -60.47 0.99 0 1.6 18.1 76.8 23 6 0 163.25 -60.78 0.99 0 1.6 18.1 76.7 23 12 0 166.08 -61.04 0.99 0 1.6 18.1 76.7 23 18 0 168.95 -61.25 0.99 0 1.6 18.1 76.6 23 24 0 171.86 -61.42 0.99 0 1.6 18.1 76.6 23 30 0 174.78 -61.53 0.99 0 1.6 18.1 76.5 23 36 0 177.72 -61.60 0.99 0 1.6 18.1 76.5 23 42 0 -179.33 -61.61 0.99 0 1.6 18.1 76.4 23 48 0 -176.38 -61.57 0.99 0 1.6 18.1 76.4 23 54 0 -173.45 -61.49 0.99 0 1.6 18.1 76.3 0 0 0 -170.53 -61.35 0.99 0 1.6 18.1 76.2 0 6 0 -167.64 -61.17 0.99 0 1.6 18.1 76.2 0 12 0 -164.78 -60.94 0.99 0 1.6 18.1 76.1 0 18 0 -161.97 -60.66 0.99 0 1.6 18.1 76.1 0 24 0 -159.20 -60.33 0.99 0 1.6 18.1 76.0 0 30 0 -156.48 -59.96 0.99 0 1.6 18.1 76.0 0 36 0 -153.82 -59.55 0.99 0 1.6 18.1 75.9 0 42 0 -151.22 -59.10 0.99 0 1.6 18.1 75.9 0 48 0 -148.68 -58.61 0.99 0 1.6 18.1 75.8 0 54 0 -146.21 -58.08 0.99 0 1.6 18.1 75.8 1 0 0 -143.80 -57.52 0.99 0 1.6 18.1 75.7 1 6 0 -141.45 -56.93 0.99 0 1.6 18.1 75.6 1 12 0 -139.17 -56.30 0.99 0 1.6 18.1 75.6 1 18 0 -136.95 -55.65 0.99 0 1.6 18.1 75.5 1 24 0 -134.80 -54.97 0.99 0 1.6 18.1 75.5 1 30 0 -132.71 -54.26 0.99 0 1.6 18.1 75.4 1 36 0 -130.68 -53.53 0.99 0 1.5 18.1 75.4 1 42 0 -128.71 -52.77 0.99 0 1.5 18.1 75.3 1 48 0 -126.80 -52.00 0.99 0 1.5 18.1 75.3 1 54 0 -124.94 -51.21 0.99 0 1.5 18.1 75.2 2 0 0 -123.13 -50.40 0.99 0 1.5 18.1 75.1 2 6 0 -121.37 -49.57 0.99 0 1.5 18.1 75.1 2 12 0 -119.66 -48.72 0.99 0 1.5 18.1 75.0 2 18 0 -117.99 -47.87 0.99 0 1.5 18.1 75.0 2 24 0 -116.37 -47.00 0.99 0 1.5 18.1 74.9 2 30 0 -114.79 -46.11 0.99 0 1.5 18.1 74.9 2 36 0 -113.24 -45.22 0.99 0 1.5 18.1 74.8 2 42 0 -111.73 -44.31 0.99 0 1.5 18.1 74.8 2 48 0 -110.26 -43.40 0.99 0 1.5 18.1 74.7 2 54 0 -108.82 -42.48 0.99 0 1.5 18.1 74.7 3 0 0 -107.41 -41.54 0.99 0 1.5 18.1 74.6 3 6 0 -106.03 -40.61 0.99 0 1.5 18.1 74.5 3 12 0 -104.67 -39.66 0.99 0 1.5 18.1 74.5 3 18 0 -103.34 -38.71 0.99 0 1.5 18.1 74.4 3 24 0 -102.04 -37.76 0.99 0 1.5 18.1 74.4 3 30 0 -100.75 -36.80 0.99 0 1.5 18.1 74.3 3 36 0 -99.49 -35.83 0.99 0 1.5 18.1 74.3 3 42 0 -98.25 -34.87 0.99 0 1.5 18.0 74.2 3 48 0 -97.02 -33.89 0.99 0 1.5 18.0 74.2 3 54 0 -95.82 -32.92 0.99 0 1.5 18.0 74.1 4 0 0 -94.62 -31.95 0.99 0 1.5 18.0 74.0 4 6 0 -93.44 -30.97 0.99 0 1.5 18.0 74.0 4 12 0 -92.28 -29.99 0.99 0 1.5 18.0 73.9 4 18 0 -91.13 -29.01 0.99 0 1.5 18.0 73.9 4 24 0 -89.99 -28.03 0.99 0 1.5 18.0 73.8 4 30 0 -88.86 -27.05 0.99 0 1.5 18.0 73.8 4 36 0 -87.73 -26.07 0.99 0 1.5 18.0 73.7 4 42 0 -86.62 -25.10 0.99 0 1.5 18.0 73.7 4 48 0 -85.52 -24.12 0.99 0 1.5 18.0 73.6 4 54 0 -84.42 -23.14 0.99 0 1.5 18.0 73.6 5 0 0 -83.33 -22.17 0.99 0 1.5 18.0 73.5 5 6 0 -82.24 -21.20 0.99 0 1.5 18.0 73.4 5 12 0 -81.16 -20.23 0.99 0 1.5 18.0 73.4 5 18 0 -80.08 -19.26 0.99 0 1.5 18.0 73.3 5 24 0 -79.00 -18.30 0.99 0 1.5 18.0 73.3 5 30 0 -77.93 -17.34 0.99 0 1.5 18.0 73.2 5 36 0 -76.86 -16.39 0.99 0 1.5 18.0 73.2 5 42 0 -75.79 -15.43 0.99 0 1.5 18.0 73.1 5 48 0 -74.72 -14.49 0.99 0 1.5 18.0 73.1 5 54 0 -73.65 -13.54 0.99 0 1.5 18.0 73.0 6 0 0 -72.58 -12.61 0.99 0 1.5 18.0 73.0 6 6 0 -71.51 -11.68 0.99 0 1.5 18.0 72.9 6 12 0 -70.44 -10.75 0.99 0 1.5 18.0 72.8 6 18 0 -69.36 -9.83 0.99 0 1.5 18.0 72.8 6 24 0 -68.29 -8.92 0.99 0 1.5 18.0 72.7 6 30 0 -67.20 -8.01 0.99 0 1.5 18.0 72.7 6 36 0 -66.12 -7.11 0.99 0 1.5 18.0 72.6 6 42 0 -65.03 -6.22 0.99 0 1.5 18.0 72.6 6 48 0 -63.94 -5.34 0.99 0 1.5 18.0 72.5 6 54 0 -62.84 -4.46 0.99 0 1.5 18.0 72.5 7 0 0 -61.74 -3.59 0.99 0 1.5 18.0 72.4 7 6 0 -60.63 -2.74 0.99 0 1.5 18.0 72.3 7 12 0 -59.51 -1.89 0.99 0 1.5 18.0 72.3 7 18 0 -58.39 -1.05 0.99 0 1.5 18.0 72.2 7 24 0 -57.26 -0.22 0.99 0 1.5 18.0 72.2 7 30 0 -56.12 0.60 0.99 2.1E+1 1.5 18.0 72.1 7 36 0 -54.98 1.41 0.99 1.4E+2 1.5 18.0 72.1 7 42 0 -53.82 2.20 0.99 4.2E+2 1.5 18.0 72.0 7 48 0 -52.66 2.99 0.99 8.8E+2 1.5 18.0 72.0 7 54 0 -51.49 3.76 0.99 1.5E+3 1.5 18.0 71.9 8 0 0 -50.31 4.52 0.99 2.3E+3 1.5 18.0 71.9 8 6 0 -49.12 5.27 0.99 3.2E+3 1.5 18.0 71.8 8 12 0 -47.92 6.00 0.99 4.2E+3 1.5 18.0 71.7 8 18 0 -46.71 6.72 0.99 5.2E+3 1.5 18.0 71.7 8 24 0 -45.49 7.42 0.99 6.4E+3 1.5 18.0 71.6 8 30 0 -44.26 8.11 0.99 7.5E+3 1.5 18.0 71.6 8 36 0 -43.02 8.79 0.99 8.7E+3 1.5 18.0 71.5 8 42 0 -41.77 9.45 0.99 9.9E+3 1.5 18.0 71.5 8 48 0 -40.50 10.09 0.99 1.1E+4 1.5 18.0 71.4 8 54 0 -39.23 10.72 0.99 1.2E+4 1.5 18.0 71.4 9 0 0 -37.94 11.33 0.99 1.3E+4 1.5 18.0 71.3 9 6 0 -36.65 11.92 0.99 1.5E+4 1.5 18.0 71.2 9 12 0 -35.34 12.50 0.99 1.6E+4 1.5 18.0 71.2 9 18 0 -34.02 13.06 0.99 1.7E+4 1.5 18.0 71.1 9 24 0 -32.69 13.59 0.99 1.8E+4 1.5 18.0 71.1 9 30 0 -31.35 14.11 0.99 1.9E+4 1.5 18.0 71.0 9 36 0 -30.00 14.61 0.99 2.0E+4 1.5 18.0 71.0 9 42 0 -28.64 15.09 0.99 2.1E+4 1.5 18.0 70.9 9 48 0 -27.27 15.55 0.99 2.2E+4 1.5 18.0 70.9 9 54 0 -25.88 15.99 0.99 2.3E+4 1.5 18.0 70.8 10 0 0 -24.49 16.40 0.99 2.4E+4 1.5 18.0 70.8 10 6 0 -23.09 16.80 0.99 2.5E+4 1.5 18.0 70.7 10 12 0 -21.68 17.17 0.99 2.5E+4 1.5 18.0 70.6 10 18 0 -20.25 17.52 0.99 2.6E+4 1.5 18.0 70.6 10 24 0 -18.82 17.85 0.99 2.7E+4 1.5 18.0 70.5 10 30 0 -17.39 18.15 0.99 2.7E+4 1.5 18.0 70.5 10 36 0 -15.94 18.43 0.99 2.8E+4 1.5 17.9 70.4 10 42 0 -14.49 18.69 0.99 2.9E+4 1.5 17.9 70.4 10 48 0 -13.03 18.92 0.99 2.9E+4 1.5 17.9 70.3 10 54 0 -11.56 19.13 0.99 2.9E+4 1.5 17.9 70.3 11 0 0 -10.09 19.31 0.99 3.0E+4 1.5 17.9 70.2 11 6 0 -8.62 19.47 0.99 3.0E+4 1.5 17.9 70.2 11 12 0 -7.14 19.60 0.99 3.0E+4 1.5 17.9 70.1 11 18 0 -5.65 19.71 0.99 3.1E+4 1.5 17.9 70.0 11 24 0 -4.17 19.80 0.99 3.1E+4 1.5 17.9 70.0 11 30 0 -2.68 19.85 0.99 3.1E+4 1.5 17.9 69.9 11 36 0 -1.19 19.89 0.99 3.1E+4 1.5 17.9 69.9 11 42 0 0.30 19.89 0.99 3.1E+4 1.5 17.9 69.8 11 48 0 1.79 19.87 0.99 3.1E+4 1.5 17.9 69.8 11 54 0 3.28 19.83 0.99 3.1E+4 1.5 17.9 69.7 12 0 0 4.77 19.76 0.99 3.1E+4 1.5 17.9 69.7 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7:19 16: 2 0.0 -20.72 13.1 15.27 -31.7 2.66 -6.0 6:42 16:39 36.2 -20.72 13.1 14.07 -25.0 0.50 -12.0 6: 3 17:18 75.7 -20.72 13.1 12.75 -17.9 -2.05 -18.0 5:25 17:56 113.6 -20.72 13.1 11.48 -11.1 -3.15 from 4 values is 6:22 16:59 56.4 -20.72 13.1 13.39 -21.4 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7:20 16: 2 0.0 -20.91 12.8 15.31 -32.0 2.66 -6.0 6:44 16:38 36.3 -20.91 12.8 14.10 -25.3 0.50 -12.0 6: 4 17:17 75.9 -20.91 12.8 12.78 -18.2 -2.05 -18.0 5:26 17:55 113.9 -20.91 12.8 11.51 -11.4 -3.15 from 4 values is 6:24 16:58 56.5 -20.91 12.8 13.43 -21.7 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 174.55 -14.15 56.555 -168 -12.55 -5.4 -7.0 3.3 98.7 12 12 0 175.86 -14.22 56.558 -168 -12.55 -5.4 -7.0 3.4 98.7 12 18 0 177.16 -14.27 56.561 -168 -12.55 -5.4 -7.0 3.4 98.8 12 24 0 178.47 -14.30 56.563 -168 -12.55 -5.4 -6.9 3.4 98.8 12 30 0 179.77 -14.31 56.565 -168 -12.55 -5.4 -6.9 3.4 98.9 12 36 0 -178.92 -14.29 56.567 -168 -12.54 -5.4 -6.9 3.5 98.9 12 42 0 -177.61 -14.26 56.568 -168 -12.54 -5.4 -6.8 3.5 99.0 12 48 0 -176.31 -14.21 56.569 -167 -12.54 -5.4 -6.8 3.5 99.0 12 54 0 -175.00 -14.13 56.569 -167 -12.54 -5.4 -6.8 3.5 99.1 13 0 0 -173.70 -14.03 56.569 -167 -12.54 -5.4 -6.7 3.6 99.1 13 6 0 -172.40 -13.91 56.569 -167 -12.53 -5.4 -6.7 3.6 99.2 13 12 0 -171.11 -13.77 56.569 -167 -12.53 -5.4 -6.7 3.6 99.2 13 18 0 -169.81 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PhA