Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 1.94 17.94 0.98 2.7E+4 -3.3 1.0 66.5 12 12 0 3.39 17.90 0.98 2.7E+4 -3.3 1.0 66.5 12 18 0 4.84 17.83 0.98 2.7E+4 -3.3 1.0 66.4 12 24 0 6.29 17.73 0.98 2.7E+4 -3.3 1.0 66.3 12 30 0 7.74 17.62 0.98 2.6E+4 -3.3 1.0 66.3 12 36 0 9.18 17.47 0.98 2.6E+4 -3.3 1.0 66.2 12 42 0 10.62 17.30 0.98 2.6E+4 -3.3 1.0 66.2 12 48 0 12.05 17.11 0.98 2.5E+4 -3.3 1.0 66.1 12 54 0 13.48 16.90 0.98 2.5E+4 -3.3 1.0 66.1 13 0 0 14.90 16.66 0.98 2.4E+4 -3.3 1.0 66.0 13 6 0 16.31 16.39 0.98 2.4E+4 -3.3 1.0 66.0 13 12 0 17.72 16.11 0.98 2.3E+4 -3.3 1.0 65.9 13 18 0 19.12 15.80 0.98 2.3E+4 -3.3 1.0 65.8 13 24 0 20.52 15.47 0.98 2.2E+4 -3.3 1.0 65.8 13 30 0 21.90 15.11 0.98 2.1E+4 -3.3 1.0 65.7 13 36 0 23.28 14.74 0.98 2.0E+4 -3.3 1.0 65.7 13 42 0 24.64 14.34 0.98 2.0E+4 -3.3 1.0 65.6 13 48 0 26.00 13.92 0.98 1.9E+4 -3.3 1.0 65.6 13 54 0 27.35 13.48 0.98 1.8E+4 -3.3 1.0 65.5 14 0 0 28.69 13.02 0.98 1.7E+4 -3.3 1.0 65.5 14 6 0 30.02 12.54 0.98 1.6E+4 -3.3 1.0 65.4 14 12 0 31.34 12.04 0.98 1.5E+4 -3.3 1.0 65.4 14 18 0 32.65 11.52 0.98 1.4E+4 -3.3 1.0 65.3 14 24 0 33.95 10.98 0.98 1.3E+4 -3.3 1.0 65.2 14 30 0 35.23 10.43 0.98 1.2E+4 -3.3 1.0 65.2 14 36 0 36.51 9.85 0.98 1.1E+4 -3.3 1.0 65.1 14 42 0 37.78 9.26 0.98 9.6E+3 -3.3 1.0 65.1 14 48 0 39.03 8.65 0.98 8.5E+3 -3.3 1.0 65.0 14 54 0 40.28 8.03 0.98 7.4E+3 -3.3 1.0 65.0 15 0 0 41.52 7.39 0.98 6.4E+3 -3.3 1.0 64.9 15 6 0 42.74 6.73 0.98 5.3E+3 -3.3 1.0 64.9 15 12 0 43.96 6.06 0.98 4.3E+3 -3.3 1.0 64.8 15 18 0 45.16 5.37 0.98 3.4E+3 -3.3 1.0 64.7 15 24 0 46.36 4.67 0.98 2.5E+3 -3.3 1.0 64.7 15 30 0 47.54 3.95 0.98 1.7E+3 -3.3 1.0 64.6 15 36 0 48.72 3.23 0.98 1.1E+3 -3.3 1.0 64.6 15 42 0 49.89 2.48 0.98 5.7E+2 -3.3 1.0 64.5 15 48 0 51.04 1.73 0.98 2.4E+2 -3.3 1.0 64.5 15 54 0 52.19 0.96 0.98 5.8E+1 -3.3 1.0 64.4 16 0 0 53.34 0.18 0.98 2.8E+0 -3.3 0.9 64.4 16 6 0 54.47 -0.61 0.98 0 -3.3 0.9 64.3 16 12 0 55.59 -1.41 0.98 0 -3.3 0.9 64.3 16 18 0 56.71 -2.23 0.98 0 -3.3 0.9 64.2 16 24 0 57.82 -3.05 0.98 0 -3.3 0.9 64.1 16 30 0 58.93 -3.88 0.98 0 -3.3 0.9 64.1 16 36 0 60.03 -4.73 0.98 0 -3.3 0.9 64.0 16 42 0 61.12 -5.58 0.98 0 -3.3 0.9 64.0 16 48 0 62.20 -6.44 0.98 0 -3.3 0.9 63.9 16 54 0 63.29 -7.31 0.98 0 -3.3 0.9 63.9 17 0 0 64.36 -8.19 0.98 0 -3.3 0.9 63.8 17 6 0 65.43 -9.08 0.98 0 -3.3 0.9 63.8 17 12 0 66.50 -9.97 0.98 0 -3.3 0.9 63.7 17 18 0 67.57 -10.88 0.98 0 -3.3 0.9 63.7 17 24 0 68.63 -11.79 0.98 0 -3.3 0.9 63.6 17 30 0 69.69 -12.70 0.98 0 -3.3 0.9 63.5 17 36 0 70.75 -13.62 0.98 0 -3.3 0.9 63.5 17 42 0 71.80 -14.55 0.98 0 -3.3 0.9 63.4 17 48 0 72.86 -15.48 0.98 0 -3.3 0.9 63.4 17 54 0 73.91 -16.42 0.98 0 -3.3 0.9 63.3 18 0 0 74.97 -17.37 0.98 0 -3.3 0.9 63.3 18 6 0 76.03 -18.31 0.98 0 -3.3 0.9 63.2 18 12 0 77.08 -19.27 0.98 0 -3.3 0.9 63.2 18 18 0 78.14 -20.22 0.98 0 -3.3 0.9 63.1 18 24 0 79.21 -21.18 0.98 0 -3.3 0.9 63.0 18 30 0 80.27 -22.15 0.98 0 -3.3 0.9 63.0 18 36 0 81.34 -23.11 0.98 0 -3.3 0.9 62.9 18 42 0 82.42 -24.08 0.98 0 -3.3 0.9 62.9 18 48 0 83.50 -25.06 0.98 0 -3.3 0.9 62.8 18 54 0 84.59 -26.03 0.98 0 -3.3 0.9 62.8 19 0 0 85.68 -27.01 0.98 0 -3.3 0.9 62.7 19 6 0 86.78 -27.98 0.98 0 -3.3 0.9 62.7 19 12 0 87.89 -28.96 0.98 0 -3.3 0.9 62.6 19 18 0 89.01 -29.94 0.98 0 -3.3 0.9 62.6 19 24 0 90.15 -30.92 0.98 0 -3.3 0.9 62.5 19 30 0 91.29 -31.90 0.98 0 -3.3 0.9 62.4 19 36 0 92.44 -32.88 0.98 0 -3.3 0.9 62.4 19 42 0 93.61 -33.86 0.98 0 -3.3 0.9 62.3 19 48 0 94.80 -34.83 0.98 0 -3.3 0.9 62.3 19 54 0 96.00 -35.81 0.98 0 -3.3 0.9 62.2 20 0 0 97.22 -36.78 0.98 0 -3.3 0.9 62.2 20 6 0 98.45 -37.75 0.98 0 -3.3 0.9 62.1 20 12 0 99.71 -38.72 0.98 0 -3.3 0.9 62.1 20 18 0 100.99 -39.68 0.98 0 -3.3 0.9 62.0 20 24 0 102.29 -40.64 0.98 0 -3.3 0.9 62.0 20 30 0 103.62 -41.60 0.98 0 -3.3 0.9 61.9 20 36 0 104.97 -42.55 0.98 0 -3.3 0.9 61.8 20 42 0 106.36 -43.49 0.98 0 -3.3 0.9 61.8 20 48 0 107.77 -44.43 0.98 0 -3.3 0.9 61.7 20 54 0 109.22 -45.36 0.98 0 -3.3 0.8 61.7 21 0 0 110.69 -46.28 0.98 0 -3.3 0.8 61.6 21 6 0 112.21 -47.19 0.98 0 -3.3 0.8 61.6 21 12 0 113.77 -48.09 0.98 0 -3.3 0.8 61.5 21 18 0 115.36 -48.98 0.98 0 -3.3 0.8 61.5 21 24 0 117.00 -49.86 0.98 0 -3.3 0.8 61.4 21 30 0 118.69 -50.72 0.98 0 -3.3 0.8 61.3 21 36 0 120.43 -51.58 0.98 0 -3.3 0.8 61.3 21 42 0 122.21 -52.41 0.98 0 -3.3 0.8 61.2 21 48 0 124.05 -53.23 0.98 0 -3.3 0.8 61.2 21 54 0 125.95 -54.04 0.98 0 -3.3 0.8 61.1 22 0 0 127.91 -54.82 0.98 0 -3.3 0.8 61.1 22 6 0 129.93 -55.58 0.98 0 -3.3 0.8 61.0 22 12 0 132.02 -56.32 0.98 0 -3.3 0.8 61.0 22 18 0 134.17 -57.04 0.98 0 -3.3 0.8 60.9 22 24 0 136.40 -57.72 0.98 0 -3.3 0.8 60.9 22 30 0 138.69 -58.39 0.98 0 -3.3 0.8 60.8 22 36 0 141.06 -59.02 0.98 0 -3.3 0.8 60.7 22 42 0 143.50 -59.62 0.98 0 -3.3 0.8 60.7 22 48 0 146.02 -60.18 0.98 0 -3.3 0.8 60.6 22 54 0 148.61 -60.71 0.98 0 -3.3 0.8 60.6 23 0 0 151.27 -61.20 0.98 0 -3.3 0.8 60.5 23 6 0 154.00 -61.65 0.98 0 -3.3 0.8 60.5 23 12 0 156.80 -62.06 0.98 0 -3.3 0.8 60.4 23 18 0 159.67 -62.42 0.98 0 -3.3 0.8 60.4 23 24 0 162.59 -62.74 0.98 0 -3.3 0.8 60.3 23 30 0 165.57 -63.01 0.98 0 -3.3 0.8 60.2 23 36 0 168.58 -63.22 0.98 0 -3.3 0.8 60.2 23 42 0 171.64 -63.39 0.98 0 -3.3 0.8 60.1 23 48 0 174.72 -63.51 0.98 0 -3.3 0.8 60.1 23 54 0 177.82 -63.57 0.98 0 -3.3 0.8 60.0 0 0 0 -179.07 -63.58 0.98 0 -3.3 0.8 60.0 0 6 0 -175.97 -63.54 0.98 0 -3.3 0.8 59.9 0 12 0 -172.88 -63.44 0.98 0 -3.3 0.8 59.9 0 18 0 -169.81 -63.30 0.98 0 -3.3 0.8 59.8 0 24 0 -166.78 -63.10 0.98 0 -3.3 0.8 59.8 0 30 0 -163.78 -62.85 0.98 0 -3.3 0.8 59.7 0 36 0 -160.84 -62.55 0.98 0 -3.3 0.8 59.6 0 42 0 -157.95 -62.20 0.98 0 -3.3 0.8 59.6 0 48 0 -155.13 -61.81 0.98 0 -3.3 0.8 59.5 0 54 0 -152.37 -61.38 0.98 0 -3.3 0.8 59.5 1 0 0 -149.68 -60.90 0.98 0 -3.3 0.8 59.4 1 6 0 -147.06 -60.39 0.98 0 -3.3 0.8 59.4 1 12 0 -144.51 -59.84 0.98 0 -3.3 0.8 59.3 1 18 0 -142.04 -59.25 0.98 0 -3.3 0.8 59.3 1 24 0 -139.65 -58.63 0.98 0 -3.3 0.8 59.2 1 30 0 -137.32 -57.98 0.98 0 -3.3 0.8 59.2 1 36 0 -135.07 -57.30 0.98 0 -3.3 0.8 59.1 1 42 0 -132.89 -56.60 0.98 0 -3.3 0.8 59.0 1 48 0 -130.78 -55.87 0.98 0 -3.3 0.8 59.0 1 54 0 -128.73 -55.11 0.98 0 -3.3 0.7 58.9 2 0 0 -126.75 -54.34 0.98 0 -3.3 0.7 58.9 2 6 0 -124.83 -53.54 0.98 0 -3.3 0.7 58.8 2 12 0 -122.97 -52.73 0.98 0 -3.3 0.7 58.8 2 18 0 -121.16 -51.90 0.98 0 -3.3 0.7 58.7 2 24 0 -119.40 -51.05 0.98 0 -3.3 0.7 58.7 2 30 0 -117.70 -50.19 0.98 0 -3.3 0.7 58.6 2 36 0 -116.04 -49.32 0.98 0 -3.3 0.7 58.5 2 42 0 -114.43 -48.43 0.98 0 -3.3 0.7 58.5 2 48 0 -112.85 -47.53 0.98 0 -3.3 0.7 58.4 2 54 0 -111.32 -46.63 0.98 0 -3.3 0.7 58.4 3 0 0 -109.83 -45.71 0.98 0 -3.3 0.7 58.3 3 6 0 -108.37 -44.78 0.98 0 -3.3 0.7 58.3 3 12 0 -106.95 -43.85 0.98 0 -3.3 0.7 58.2 3 18 0 -105.55 -42.91 0.98 0 -3.4 0.7 58.2 3 24 0 -104.19 -41.96 0.98 0 -3.4 0.7 58.1 3 30 0 -102.85 -41.01 0.98 0 -3.4 0.7 58.1 3 36 0 -101.54 -40.05 0.98 0 -3.4 0.7 58.0 3 42 0 -100.25 -39.09 0.98 0 -3.4 0.7 57.9 3 48 0 -98.99 -38.12 0.98 0 -3.4 0.7 57.9 3 54 0 -97.74 -37.15 0.98 0 -3.4 0.7 57.8 4 0 0 -96.52 -36.18 0.98 0 -3.4 0.7 57.8 4 6 0 -95.31 -35.20 0.98 0 -3.4 0.7 57.7 4 12 0 -94.12 -34.23 0.98 0 -3.4 0.7 57.7 4 18 0 -92.94 -33.25 0.98 0 -3.4 0.7 57.6 4 24 0 -91.78 -32.27 0.98 0 -3.4 0.7 57.6 4 30 0 -90.64 -31.29 0.98 0 -3.4 0.7 57.5 4 36 0 -89.50 -30.31 0.98 0 -3.4 0.7 57.5 4 42 0 -88.38 -29.33 0.98 0 -3.4 0.7 57.4 4 48 0 -87.26 -28.35 0.98 0 -3.4 0.7 57.3 4 54 0 -86.16 -27.37 0.98 0 -3.4 0.7 57.3 5 0 0 -85.06 -26.39 0.98 0 -3.4 0.7 57.2 5 6 0 -83.97 -25.42 0.98 0 -3.4 0.7 57.2 5 12 0 -82.89 -24.44 0.98 0 -3.4 0.7 57.1 5 18 0 -81.81 -23.47 0.98 0 -3.4 0.7 57.1 5 24 0 -80.74 -22.50 0.98 0 -3.4 0.7 57.0 5 30 0 -79.67 -21.54 0.98 0 -3.4 0.7 57.0 5 36 0 -78.61 -20.58 0.98 0 -3.4 0.7 56.9 5 42 0 -77.55 -19.62 0.98 0 -3.4 0.7 56.8 5 48 0 -76.49 -18.66 0.98 0 -3.4 0.7 56.8 5 54 0 -75.43 -17.71 0.98 0 -3.4 0.7 56.7 6 0 0 -74.38 -16.76 0.98 0 -3.4 0.7 56.7 6 6 0 -73.32 -15.82 0.98 0 -3.4 0.7 56.6 6 12 0 -72.27 -14.89 0.98 0 -3.4 0.7 56.6 6 18 0 -71.21 -13.96 0.98 0 -3.4 0.7 56.5 6 24 0 -70.15 -13.03 0.98 0 -3.4 0.7 56.5 6 30 0 -69.09 -12.11 0.98 0 -3.4 0.7 56.4 6 36 0 -68.03 -11.20 0.98 0 -3.4 0.7 56.4 6 42 0 -66.97 -10.29 0.98 0 -3.4 0.7 56.3 6 48 0 -65.90 -9.40 0.98 0 -3.4 0.6 56.2 6 54 0 -64.83 -8.50 0.98 0 -3.4 0.6 56.2 7 0 0 -63.76 -7.62 0.98 0 -3.4 0.6 56.1 7 6 0 -62.68 -6.75 0.98 0 -3.4 0.6 56.1 7 12 0 -61.59 -5.88 0.98 0 -3.4 0.6 56.0 7 18 0 -60.50 -5.02 0.98 0 -3.4 0.6 56.0 7 24 0 -59.41 -4.17 0.98 0 -3.4 0.6 55.9 7 30 0 -58.31 -3.33 0.98 0 -3.4 0.6 55.9 7 36 0 -57.20 -2.51 0.98 0 -3.4 0.6 55.8 7 42 0 -56.08 -1.69 0.98 0 -3.4 0.6 55.8 7 48 0 -54.96 -0.88 0.98 0 -3.4 0.6 55.7 7 54 0 -53.83 -0.08 0.98 0 -3.4 0.6 55.6 8 0 0 -52.69 0.70 0.98 3.0E+1 -3.4 0.6 55.6 8 6 0 -51.55 1.48 0.98 1.6E+2 -3.4 0.6 55.5 8 12 0 -50.39 2.24 0.98 4.4E+2 -3.4 0.6 55.5 8 18 0 -49.23 2.99 0.98 8.9E+2 -3.4 0.6 55.4 8 24 0 -48.05 3.72 0.98 1.5E+3 -3.4 0.6 55.4 8 30 0 -46.87 4.45 0.98 2.2E+3 -3.4 0.6 55.3 8 36 0 -45.68 5.15 0.98 3.1E+3 -3.4 0.6 55.3 8 42 0 -44.48 5.85 0.98 4.0E+3 -3.4 0.6 55.2 8 48 0 -43.27 6.53 0.98 5.0E+3 -3.4 0.6 55.1 8 54 0 -42.05 7.19 0.98 6.0E+3 -3.4 0.6 55.1 9 0 0 -40.81 7.84 0.98 7.1E+3 -3.4 0.6 55.0 9 6 0 -39.57 8.47 0.98 8.2E+3 -3.4 0.6 55.0 9 12 0 -38.32 9.09 0.98 9.3E+3 -3.4 0.6 54.9 9 18 0 -37.06 9.69 0.98 1.0E+4 -3.4 0.6 54.9 9 24 0 -35.78 10.27 0.98 1.1E+4 -3.4 0.6 54.8 9 30 0 -34.50 10.84 0.98 1.3E+4 -3.4 0.6 54.8 9 36 0 -33.20 11.38 0.98 1.4E+4 -3.4 0.6 54.7 9 42 0 -31.90 11.91 0.98 1.5E+4 -3.4 0.6 54.7 9 48 0 -30.58 12.42 0.98 1.6E+4 -3.4 0.6 54.6 9 54 0 -29.26 12.91 0.98 1.7E+4 -3.4 0.6 54.5 10 0 0 -27.92 13.38 0.98 1.8E+4 -3.4 0.6 54.5 10 6 0 -26.57 13.83 0.98 1.9E+4 -3.4 0.6 54.4 10 12 0 -25.22 14.25 0.98 1.9E+4 -3.4 0.6 54.4 10 18 0 -23.85 14.66 0.98 2.0E+4 -3.4 0.6 54.3 10 24 0 -22.48 15.05 0.98 2.1E+4 -3.4 0.6 54.3 10 30 0 -21.10 15.41 0.98 2.2E+4 -3.4 0.6 54.2 10 36 0 -19.71 15.75 0.98 2.3E+4 -3.4 0.6 54.2 10 42 0 -18.31 16.07 0.98 2.3E+4 -3.4 0.6 54.1 10 48 0 -16.90 16.37 0.98 2.4E+4 -3.4 0.6 54.0 10 54 0 -15.49 16.64 0.98 2.4E+4 -3.4 0.6 54.0 11 0 0 -14.07 16.89 0.98 2.5E+4 -3.4 0.6 53.9 11 6 0 -12.64 17.12 0.98 2.5E+4 -3.4 0.6 53.9 11 12 0 -11.21 17.32 0.98 2.6E+4 -3.4 0.6 53.8 11 18 0 -9.77 17.50 0.98 2.6E+4 -3.4 0.6 53.8 11 24 0 -8.33 17.66 0.98 2.7E+4 -3.4 0.6 53.7 11 30 0 -6.88 17.79 0.98 2.7E+4 -3.4 0.6 53.7 11 36 0 -5.43 17.89 0.98 2.7E+4 -3.4 0.6 53.6 11 42 0 -3.98 17.97 0.98 2.7E+4 -3.4 0.6 53.6 11 48 0 -2.53 18.03 0.98 2.7E+4 -3.4 0.5 53.5 11 54 0 -1.08 18.06 0.98 2.7E+4 -3.4 0.5 53.4 12 0 0 0.38 18.07 0.98 2.7E+4 -3.4 0.5 53.4 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7:49 16: 7 0.0 -22.83 -4.4 15.69 -35.3 2.66 -6.0 7:11 16:45 37.5 -22.83 -4.4 14.44 -28.4 0.50 -12.0 6:31 17:25 78.0 -22.83 -4.4 13.09 -21.2 -2.05 -18.0 5:52 18: 4 116.5 -22.83 -4.4 11.81 -14.4 -3.15 from 4 values is 6:51 17: 5 58.0 -22.83 -4.4 13.76 -24.8 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7:49 16: 8 0.0 -22.73 -4.8 15.67 -35.1 2.66 -6.0 7:11 16:46 37.4 -22.73 -4.8 14.42 -28.2 0.50 -12.0 6:31 17:26 77.8 -22.73 -4.8 13.08 -21.0 -2.05 -18.0 5:52 18: 5 116.4 -22.73 -4.8 11.79 -14.2 -3.15 from 4 values is 6:51 17: 6 57.9 -22.73 -4.8 13.74 -24.6 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 -177.11 -14.07 60.130 179 -12.65 -5.2 4.4 5.3 83.3 12 12 0 -175.80 -14.01 60.132 179 -12.65 -5.2 4.5 5.4 83.3 12 18 0 -174.49 -13.94 60.133 179 -12.65 -5.2 4.5 5.4 83.4 12 24 0 -173.19 -13.85 60.134 179 -12.65 -5.2 4.5 5.4 83.4 12 30 0 -171.88 -13.73 60.134 179 -12.66 -5.2 4.6 5.4 83.5 12 36 0 -170.58 -13.60 60.134 179 -12.66 -5.2 4.6 5.4 83.5 12 42 0 -169.28 -13.44 60.134 179 -12.66 -5.2 4.6 5.5 83.6 12 48 0 -167.98 -13.26 60.134 179 -12.66 -5.2 4.6 5.5 83.6 12 54 0 -166.69 -13.06 60.133 179 -12.66 -5.2 4.7 5.5 83.7 13 0 0 -165.40 -12.84 60.132 179 -12.66 -5.2 4.7 5.5 83.7 13 6 0 -164.12 -12.60 60.130 179 -12.66 -5.2 4.7 5.5 83.8 13 12 0 -162.84 -12.34 60.128 179 -12.66 -5.2 4.8 5.5 83.8 13 18 0 -161.57 -12.06 60.126 179 -12.66 -5.2 4.8 5.5 83.9 13 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ang.height far L-LS faint b PA long. PhA