Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 -20.65 52.10 1.01 8.6E+4 6.8 17.3 93.1 12 12 0 -18.32 52.43 1.01 8.7E+4 6.8 17.3 93.0 12 18 0 -15.96 52.72 1.01 8.7E+4 6.8 17.3 93.0 12 24 0 -13.58 52.97 1.01 8.7E+4 6.8 17.3 92.9 12 30 0 -11.17 53.18 1.01 8.8E+4 6.8 17.3 92.9 12 36 0 -8.74 53.34 1.01 8.8E+4 6.8 17.4 92.8 12 42 0 -6.29 53.47 1.01 8.8E+4 6.8 17.4 92.8 12 48 0 -3.83 53.56 1.01 8.8E+4 6.8 17.4 92.7 12 54 0 -1.37 53.60 1.01 8.8E+4 6.8 17.4 92.7 13 0 0 1.09 53.60 1.01 8.8E+4 6.8 17.4 92.6 13 6 0 3.56 53.56 1.01 8.8E+4 6.8 17.4 92.6 13 12 0 6.01 53.48 1.01 8.8E+4 6.8 17.4 92.5 13 18 0 8.46 53.35 1.01 8.8E+4 6.8 17.4 92.4 13 24 0 10.89 53.18 1.01 8.8E+4 6.8 17.4 92.4 13 30 0 13.30 52.98 1.01 8.7E+4 6.8 17.4 92.3 13 36 0 15.69 52.73 1.01 8.7E+4 6.8 17.4 92.3 13 42 0 18.05 52.45 1.01 8.7E+4 6.8 17.4 92.2 13 48 0 20.38 52.12 1.01 8.6E+4 6.8 17.4 92.2 13 54 0 22.68 51.76 1.01 8.6E+4 6.8 17.4 92.1 14 0 0 24.95 51.36 1.01 8.5E+4 6.8 17.4 92.1 14 6 0 27.18 50.93 1.01 8.5E+4 6.8 17.4 92.0 14 12 0 29.37 50.47 1.01 8.4E+4 6.8 17.4 91.9 14 18 0 31.52 49.97 1.01 8.3E+4 6.8 17.4 91.9 14 24 0 33.62 49.44 1.01 8.2E+4 6.8 17.4 91.8 14 30 0 35.69 48.88 1.01 8.2E+4 6.8 17.4 91.8 14 36 0 37.72 48.29 1.01 8.1E+4 6.8 17.4 91.7 14 42 0 39.70 47.68 1.01 8.0E+4 6.8 17.4 91.7 14 48 0 41.64 47.04 1.01 7.9E+4 6.8 17.4 91.6 14 54 0 43.55 46.37 1.01 7.8E+4 6.8 17.4 91.6 15 0 0 45.41 45.69 1.01 7.7E+4 6.8 17.4 91.5 15 6 0 47.22 44.98 1.01 7.6E+4 6.8 17.4 91.5 15 12 0 49.01 44.24 1.01 7.4E+4 6.8 17.4 91.4 15 18 0 50.75 43.49 1.01 7.3E+4 6.8 17.4 91.3 15 24 0 52.45 42.72 1.01 7.2E+4 6.8 17.4 91.3 15 30 0 54.12 41.94 1.01 7.1E+4 6.8 17.4 91.2 15 36 0 55.75 41.13 1.01 6.9E+4 6.8 17.4 91.2 15 42 0 57.35 40.31 1.01 6.8E+4 6.8 17.4 91.1 15 48 0 58.92 39.48 1.01 6.7E+4 6.8 17.4 91.1 15 54 0 60.46 38.63 1.01 6.5E+4 6.8 17.4 91.0 16 0 0 61.96 37.77 1.01 6.4E+4 6.8 17.4 91.0 16 6 0 63.44 36.90 1.01 6.2E+4 6.8 17.4 90.9 16 12 0 64.89 36.02 1.01 6.1E+4 6.8 17.4 90.8 16 18 0 66.32 35.12 1.01 5.9E+4 6.8 17.4 90.8 16 24 0 67.72 34.22 1.01 5.7E+4 6.8 17.4 90.7 16 30 0 69.09 33.31 1.01 5.6E+4 6.8 17.4 90.7 16 36 0 70.44 32.39 1.01 5.4E+4 6.8 17.4 90.6 16 42 0 71.78 31.46 1.01 5.2E+4 6.8 17.4 90.6 16 48 0 73.09 30.52 1.01 5.0E+4 6.8 17.4 90.5 16 54 0 74.38 29.58 1.01 4.9E+4 6.8 17.4 90.5 17 0 0 75.66 28.63 1.01 4.7E+4 6.8 17.4 90.4 17 6 0 76.92 27.68 1.01 4.5E+4 6.8 17.4 90.4 17 12 0 78.16 26.72 1.01 4.3E+4 6.8 17.4 90.3 17 18 0 79.39 25.76 1.01 4.1E+4 6.8 17.4 90.2 17 24 0 80.61 24.79 1.01 3.9E+4 6.8 17.4 90.2 17 30 0 81.81 23.82 1.01 3.7E+4 6.8 17.4 90.1 17 36 0 83.00 22.85 1.01 3.5E+4 6.8 17.4 90.1 17 42 0 84.18 21.87 1.01 3.3E+4 6.8 17.4 90.0 17 48 0 85.35 20.90 1.01 3.2E+4 6.8 17.4 90.0 17 54 0 86.51 19.92 1.01 3.0E+4 6.8 17.4 89.9 18 0 0 87.66 18.94 1.01 2.8E+4 6.8 17.4 89.9 18 6 0 88.81 17.96 1.01 2.6E+4 6.8 17.4 89.8 18 12 0 89.94 16.98 1.01 2.4E+4 6.8 17.4 89.7 18 18 0 91.08 15.99 1.01 2.2E+4 6.8 17.4 89.7 18 24 0 92.20 15.01 1.01 2.0E+4 6.8 17.4 89.6 18 30 0 93.33 14.03 1.01 1.8E+4 6.8 17.4 89.6 18 36 0 94.44 13.05 1.01 1.6E+4 6.8 17.4 89.5 18 42 0 95.56 12.08 1.01 1.4E+4 6.8 17.4 89.5 18 48 0 96.67 11.10 1.01 1.2E+4 6.8 17.4 89.4 18 54 0 97.78 10.13 1.01 1.1E+4 6.8 17.4 89.4 19 0 0 98.90 9.16 1.01 8.9E+3 6.8 17.4 89.3 19 6 0 100.01 8.19 1.01 7.3E+3 6.8 17.4 89.2 19 12 0 101.12 7.22 1.01 5.7E+3 6.8 17.4 89.2 19 18 0 102.23 6.26 1.01 4.3E+3 6.8 17.4 89.1 19 24 0 103.34 5.31 1.01 3.1E+3 6.8 17.4 89.1 19 30 0 104.46 4.35 1.01 2.0E+3 6.8 17.4 89.0 19 36 0 105.57 3.41 1.01 1.1E+3 6.8 17.4 89.0 19 42 0 106.69 2.46 1.01 5.3E+2 6.8 17.4 88.9 19 48 0 107.82 1.53 1.01 1.6E+2 6.8 17.4 88.9 19 54 0 108.95 0.59 1.01 2.0E+1 6.8 17.4 88.8 20 0 0 110.08 -0.33 1.01 0 6.8 17.4 88.8 20 6 0 111.22 -1.25 1.01 0 6.8 17.5 88.7 20 12 0 112.37 -2.16 1.01 0 6.8 17.5 88.6 20 18 0 113.52 -3.06 1.01 0 6.8 17.5 88.6 20 24 0 114.68 -3.96 1.01 0 6.8 17.5 88.5 20 30 0 115.85 -4.85 1.01 0 6.8 17.5 88.5 20 36 0 117.02 -5.73 1.01 0 6.8 17.5 88.4 20 42 0 118.21 -6.60 1.01 0 6.8 17.5 88.4 20 48 0 119.40 -7.46 1.01 0 6.8 17.5 88.3 20 54 0 120.60 -8.31 1.01 0 6.8 17.5 88.3 21 0 0 121.81 -9.15 1.01 0 6.8 17.5 88.2 21 6 0 123.04 -9.97 1.01 0 6.8 17.5 88.1 21 12 0 124.27 -10.79 1.01 0 6.8 17.5 88.1 21 18 0 125.52 -11.60 1.01 0 6.8 17.5 88.0 21 24 0 126.78 -12.39 1.01 0 6.8 17.5 88.0 21 30 0 128.05 -13.17 1.01 0 6.8 17.5 87.9 21 36 0 129.33 -13.94 1.01 0 6.8 17.5 87.9 21 42 0 130.62 -14.69 1.01 0 6.8 17.5 87.8 21 48 0 131.93 -15.43 1.01 0 6.8 17.5 87.8 21 54 0 133.26 -16.15 1.01 0 6.8 17.5 87.7 22 0 0 134.59 -16.86 1.01 0 6.8 17.5 87.7 22 6 0 135.94 -17.55 1.01 0 6.8 17.5 87.6 22 12 0 137.31 -18.22 1.01 0 6.8 17.5 87.5 22 18 0 138.69 -18.88 1.01 0 6.8 17.5 87.5 22 24 0 140.08 -19.52 1.01 0 6.8 17.5 87.4 22 30 0 141.49 -20.14 1.01 0 6.8 17.5 87.4 22 36 0 142.91 -20.74 1.01 0 6.8 17.5 87.3 22 42 0 144.35 -21.32 1.01 0 6.8 17.5 87.3 22 48 0 145.81 -21.89 1.01 0 6.8 17.5 87.2 22 54 0 147.27 -22.43 1.01 0 6.8 17.5 87.2 23 0 0 148.76 -22.95 1.01 0 6.8 17.5 87.1 23 6 0 150.25 -23.45 1.01 0 6.8 17.5 87.0 23 12 0 151.77 -23.92 1.01 0 6.8 17.5 87.0 23 18 0 153.29 -24.38 1.01 0 6.8 17.5 86.9 23 24 0 154.83 -24.81 1.01 0 6.8 17.5 86.9 23 30 0 156.38 -25.21 1.01 0 6.8 17.5 86.8 23 36 0 157.95 -25.59 1.01 0 6.8 17.5 86.8 23 42 0 159.52 -25.95 1.01 0 6.8 17.5 86.7 23 48 0 161.11 -26.28 1.01 0 6.8 17.5 86.7 23 54 0 162.71 -26.59 1.01 0 6.8 17.5 86.6 0 0 0 164.32 -26.87 1.01 0 6.8 17.5 86.6 0 6 0 165.94 -27.12 1.01 0 6.8 17.5 86.5 0 12 0 167.56 -27.35 1.01 0 6.8 17.5 86.4 0 18 0 169.20 -27.55 1.01 0 6.8 17.5 86.4 0 24 0 170.84 -27.72 1.01 0 6.8 17.5 86.3 0 30 0 172.48 -27.86 1.01 0 6.8 17.5 86.3 0 36 0 174.14 -27.98 1.01 0 6.8 17.5 86.2 0 42 0 175.79 -28.06 1.01 0 6.8 17.5 86.2 0 48 0 177.45 -28.12 1.01 0 6.8 17.5 86.1 0 54 0 179.11 -28.15 1.01 0 6.8 17.5 86.1 1 0 0 -179.23 -28.16 1.01 0 6.8 17.5 86.0 1 6 0 -177.57 -28.13 1.01 0 6.8 17.5 85.9 1 12 0 -175.91 -28.08 1.01 0 6.8 17.5 85.9 1 18 0 -174.26 -27.99 1.01 0 6.8 17.5 85.8 1 24 0 -172.60 -27.88 1.01 0 6.8 17.5 85.8 1 30 0 -170.96 -27.74 1.01 0 6.8 17.5 85.7 1 36 0 -169.31 -27.58 1.01 0 6.8 17.5 85.7 1 42 0 -167.68 -27.38 1.01 0 6.8 17.5 85.6 1 48 0 -166.05 -27.16 1.01 0 6.8 17.5 85.6 1 54 0 -164.43 -26.91 1.01 0 6.8 17.5 85.5 2 0 0 -162.82 -26.64 1.01 0 6.8 17.5 85.4 2 6 0 -161.22 -26.34 1.01 0 6.8 17.5 85.4 2 12 0 -159.63 -26.01 1.01 0 6.8 17.5 85.3 2 18 0 -158.05 -25.66 1.01 0 6.8 17.5 85.3 2 24 0 -156.48 -25.28 1.01 0 6.8 17.5 85.2 2 30 0 -154.93 -24.88 1.01 0 6.8 17.5 85.2 2 36 0 -153.39 -24.45 1.01 0 6.8 17.5 85.1 2 42 0 -151.86 -24.00 1.01 0 6.8 17.5 85.1 2 48 0 -150.35 -23.53 1.01 0 6.8 17.5 85.0 2 54 0 -148.85 -23.04 1.01 0 6.8 17.5 85.0 3 0 0 -147.36 -22.52 1.01 0 6.8 17.5 84.9 3 6 0 -145.89 -21.98 1.01 0 6.9 17.5 84.8 3 12 0 -144.43 -21.42 1.01 0 6.9 17.5 84.8 3 18 0 -142.99 -20.84 1.01 0 6.9 17.5 84.7 3 24 0 -141.57 -20.24 1.01 0 6.9 17.5 84.7 3 30 0 -140.15 -19.63 1.01 0 6.9 17.5 84.6 3 36 0 -138.76 -18.99 1.01 0 6.9 17.6 84.6 3 42 0 -137.37 -18.34 1.01 0 6.9 17.6 84.5 3 48 0 -136.00 -17.67 1.01 0 6.9 17.6 84.5 3 54 0 -134.65 -16.98 1.01 0 6.9 17.6 84.4 4 0 0 -133.31 -16.27 1.01 0 6.9 17.6 84.3 4 6 0 -131.99 -15.55 1.01 0 6.9 17.6 84.3 4 12 0 -130.67 -14.82 1.01 0 6.9 17.6 84.2 4 18 0 -129.37 -14.07 1.01 0 6.9 17.6 84.2 4 24 0 -128.09 -13.31 1.01 0 6.9 17.6 84.1 4 30 0 -126.82 -12.53 1.01 0 6.9 17.6 84.1 4 36 0 -125.55 -11.74 1.01 0 6.9 17.6 84.0 4 42 0 -124.31 -10.94 1.01 0 6.9 17.6 84.0 4 48 0 -123.07 -10.12 1.01 0 6.9 17.6 83.9 4 54 0 -121.84 -9.30 1.01 0 6.9 17.6 83.9 5 0 0 -120.63 -8.46 1.01 0 6.9 17.6 83.8 5 6 0 -119.42 -7.61 1.01 0 6.9 17.6 83.7 5 12 0 -118.22 -6.75 1.01 0 6.9 17.6 83.7 5 18 0 -117.04 -5.89 1.01 0 6.9 17.6 83.6 5 24 0 -115.86 -5.01 1.01 0 6.9 17.6 83.6 5 30 0 -114.69 -4.12 1.01 0 6.9 17.6 83.5 5 36 0 -113.53 -3.23 1.01 0 6.9 17.6 83.5 5 42 0 -112.37 -2.33 1.01 0 6.9 17.6 83.4 5 48 0 -111.22 -1.42 1.01 0 6.9 17.6 83.4 5 54 0 -110.08 -0.50 1.01 0 6.9 17.6 83.3 6 0 0 -108.94 0.42 1.01 1.0E+1 6.9 17.6 83.2 6 6 0 -107.81 1.35 1.01 1.2E+2 6.9 17.6 83.2 6 12 0 -106.68 2.28 1.01 4.4E+2 6.9 17.6 83.1 6 18 0 -105.56 3.22 1.01 1.0E+3 6.9 17.6 83.1 6 24 0 -104.44 4.17 1.01 1.8E+3 6.9 17.6 83.0 6 30 0 -103.32 5.12 1.01 2.9E+3 6.9 17.6 83.0 6 36 0 -102.21 6.08 1.01 4.1E+3 6.9 17.6 82.9 6 42 0 -101.09 7.04 1.01 5.5E+3 6.9 17.6 82.9 6 48 0 -99.98 8.00 1.01 7.0E+3 6.9 17.6 82.8 6 54 0 -98.87 8.96 1.01 8.6E+3 6.9 17.6 82.8 7 0 0 -97.76 9.93 1.01 1.0E+4 6.9 17.6 82.7 7 6 0 -96.64 10.90 1.01 1.2E+4 6.9 17.6 82.6 7 12 0 -95.53 11.88 1.01 1.4E+4 6.9 17.6 82.6 7 18 0 -94.41 12.85 1.01 1.6E+4 6.9 17.6 82.5 7 24 0 -93.29 13.83 1.01 1.8E+4 6.9 17.6 82.5 7 30 0 -92.16 14.81 1.01 1.9E+4 6.9 17.6 82.4 7 36 0 -91.03 15.79 1.01 2.1E+4 6.9 17.6 82.4 7 42 0 -89.90 16.77 1.01 2.3E+4 6.9 17.6 82.3 7 48 0 -88.76 17.75 1.01 2.5E+4 6.9 17.6 82.3 7 54 0 -87.61 18.73 1.01 2.7E+4 6.9 17.6 82.2 8 0 0 -86.46 19.70 1.01 2.9E+4 6.9 17.6 82.1 8 6 0 -85.29 20.68 1.01 3.1E+4 6.9 17.6 82.1 8 12 0 -84.12 21.65 1.01 3.3E+4 6.9 17.6 82.0 8 18 0 -82.94 22.63 1.01 3.5E+4 6.9 17.6 82.0 8 24 0 -81.75 23.60 1.01 3.7E+4 6.9 17.6 81.9 8 30 0 -80.54 24.57 1.01 3.9E+4 6.9 17.6 81.9 8 36 0 -79.33 25.53 1.01 4.1E+4 6.9 17.6 81.8 8 42 0 -78.10 26.49 1.01 4.3E+4 6.9 17.6 81.8 8 48 0 -76.85 27.45 1.01 4.4E+4 6.9 17.6 81.7 8 54 0 -75.59 28.40 1.01 4.6E+4 6.9 17.6 81.6 9 0 0 -74.32 29.34 1.01 4.8E+4 6.9 17.6 81.6 9 6 0 -73.02 30.28 1.01 5.0E+4 6.9 17.6 81.5 9 12 0 -71.71 31.22 1.01 5.2E+4 6.9 17.6 81.5 9 18 0 -70.37 32.14 1.01 5.3E+4 6.9 17.6 81.4 9 24 0 -69.02 33.06 1.01 5.5E+4 6.9 17.6 81.4 9 30 0 -67.64 33.97 1.01 5.7E+4 6.9 17.6 81.3 9 36 0 -66.24 34.87 1.01 5.8E+4 6.9 17.6 81.3 9 42 0 -64.82 35.76 1.01 6.0E+4 6.9 17.6 81.2 9 48 0 -63.37 36.64 1.01 6.2E+4 6.9 17.6 81.2 9 54 0 -61.89 37.51 1.01 6.3E+4 6.9 17.6 81.1 10 0 0 -60.39 38.37 1.01 6.5E+4 6.9 17.6 81.0 10 6 0 -58.85 39.21 1.01 6.6E+4 6.9 17.6 81.0 10 12 0 -57.28 40.05 1.01 6.8E+4 6.9 17.6 80.9 10 18 0 -55.69 40.86 1.01 6.9E+4 6.9 17.6 80.9 10 24 0 -54.05 41.66 1.01 7.0E+4 6.9 17.6 80.8 10 30 0 -52.39 42.45 1.01 7.2E+4 6.9 17.6 80.8 10 36 0 -50.69 43.21 1.01 7.3E+4 6.9 17.6 80.7 10 42 0 -48.95 43.96 1.01 7.4E+4 6.9 17.6 80.7 10 48 0 -47.17 44.69 1.01 7.5E+4 6.9 17.6 80.6 10 54 0 -45.36 45.40 1.01 7.6E+4 6.9 17.6 80.5 11 0 0 -43.50 46.08 1.01 7.7E+4 6.9 17.6 80.5 11 6 0 -41.61 46.74 1.01 7.8E+4 6.9 17.6 80.4 11 12 0 -39.67 47.38 1.01 7.9E+4 6.9 17.7 80.4 11 18 0 -37.69 47.99 1.01 8.0E+4 6.9 17.7 80.3 11 24 0 -35.67 48.58 1.01 8.1E+4 6.9 17.7 80.3 11 30 0 -33.61 49.13 1.01 8.2E+4 6.9 17.7 80.2 11 36 0 -31.51 49.66 1.01 8.3E+4 6.9 17.7 80.2 11 42 0 -29.37 50.15 1.01 8.3E+4 6.9 17.7 80.1 11 48 0 -27.19 50.62 1.01 8.4E+4 6.9 17.7 80.1 11 54 0 -24.98 51.05 1.01 8.5E+4 6.9 17.7 80.0 12 0 0 -22.72 51.44 1.01 8.5E+4 6.9 17.7 79.9 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 5:51 20: 4 0.0 12.81 -3.7 9.79 20.8 2.66 -6.0 5:16 20:39 34.9 12.81 -3.7 8.63 27.6 0.50 -12.0 4:33 21:22 78.2 12.81 -3.7 7.18 36.4 -2.05 -18.0 3:44 22:11 127.5 12.81 -3.7 5.54 47.1 -3.15 from 4 values is 4:51 21: 4 60.2 12.81 -3.7 7.78 33.0 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 5:52 20: 2 0.0 12.48 -3.5 9.85 20.3 2.66 -6.0 5:18 20:36 34.8 12.48 -3.5 8.69 27.0 0.50 -12.0 4:35 21:20 77.8 12.48 -3.5 7.25 35.8 -2.05 -18.0 3:46 22: 8 126.6 12.48 -3.5 5.63 46.4 -3.15 from 4 values is 4:53 21: 2 59.8 12.48 -3.5 7.85 32.4 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 114.87 -2.36 63.502 -118 -10.91 -4.8 -22.2 -2.3 154.0 12 12 0 115.99 -3.21 63.516 -118 -10.91 -4.8 -22.2 -2.3 154.1 12 18 0 117.13 -4.05 63.530 -118 -10.91 -4.8 -22.2 -2.3 154.1 12 24 0 118.26 -4.87 63.544 -118 -10.90 -4.8 -22.2 -2.3 154.2 12 30 0 119.41 -5.69 63.558 -118 -10.90 -4.7 -22.1 -2.3 154.2 12 36 0 120.56 -6.50 63.571 -118 -10.90 -4.7 -22.1 -2.3 154.3 12 42 0 121.73 -7.30 63.584 -118 -10.90 -4.7 -22.1 -2.3 154.3 12 48 0 122.90 -8.09 63.598 -118 -10.90 -4.7 -22.1 -2.3 154.4 12 54 0 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PhA