Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 -20.71 52.19 1.01 8.6E+4 6.8 17.3 158.9 12 12 0 -18.37 52.52 1.01 8.7E+4 6.8 17.3 158.9 12 18 0 -16.01 52.80 1.01 8.7E+4 6.8 17.3 158.8 12 24 0 -13.62 53.05 1.01 8.7E+4 6.8 17.3 158.8 12 30 0 -11.20 53.26 1.01 8.8E+4 6.8 17.3 158.7 12 36 0 -8.77 53.43 1.01 8.8E+4 6.8 17.3 158.7 12 42 0 -6.32 53.56 1.01 8.8E+4 6.8 17.3 158.6 12 48 0 -3.86 53.65 1.01 8.8E+4 6.8 17.3 158.5 12 54 0 -1.39 53.69 1.01 8.8E+4 6.8 17.3 158.5 13 0 0 1.08 53.69 1.01 8.8E+4 6.8 17.3 158.4 13 6 0 3.54 53.65 1.01 8.8E+4 6.8 17.3 158.4 13 12 0 6.01 53.57 1.01 8.8E+4 6.8 17.3 158.3 13 18 0 8.46 53.44 1.01 8.8E+4 6.8 17.3 158.3 13 24 0 10.89 53.28 1.01 8.8E+4 6.8 17.3 158.2 13 30 0 13.31 53.07 1.01 8.8E+4 6.8 17.3 158.2 13 36 0 15.70 52.82 1.01 8.7E+4 6.8 17.3 158.1 13 42 0 18.06 52.54 1.01 8.7E+4 6.8 17.3 158.1 13 48 0 20.40 52.21 1.01 8.6E+4 6.8 17.3 158.0 13 54 0 22.70 51.85 1.01 8.6E+4 6.8 17.3 157.9 14 0 0 24.97 51.45 1.01 8.5E+4 6.8 17.3 157.9 14 6 0 27.20 51.02 1.01 8.5E+4 6.8 17.3 157.8 14 12 0 29.40 50.55 1.01 8.4E+4 6.8 17.3 157.8 14 18 0 31.55 50.06 1.01 8.3E+4 6.8 17.3 157.7 14 24 0 33.66 49.53 1.01 8.3E+4 6.8 17.3 157.7 14 30 0 35.73 48.97 1.01 8.2E+4 6.8 17.3 157.6 14 36 0 37.76 48.38 1.01 8.1E+4 6.8 17.3 157.6 14 42 0 39.74 47.76 1.01 8.0E+4 6.8 17.3 157.5 14 48 0 41.69 47.12 1.01 7.9E+4 6.8 17.3 157.4 14 54 0 43.59 46.46 1.01 7.8E+4 6.8 17.3 157.4 15 0 0 45.45 45.77 1.01 7.7E+4 6.8 17.3 157.3 15 6 0 47.27 45.06 1.01 7.6E+4 6.8 17.3 157.3 15 12 0 49.06 44.33 1.01 7.5E+4 6.8 17.3 157.2 15 18 0 50.80 43.58 1.01 7.3E+4 6.8 17.3 157.2 15 24 0 52.50 42.81 1.01 7.2E+4 6.8 17.3 157.1 15 30 0 54.17 42.02 1.01 7.1E+4 6.8 17.3 157.1 15 36 0 55.81 41.22 1.01 7.0E+4 6.8 17.3 157.0 15 42 0 57.41 40.40 1.01 6.8E+4 6.8 17.3 157.0 15 48 0 58.98 39.56 1.01 6.7E+4 6.8 17.3 156.9 15 54 0 60.51 38.71 1.01 6.5E+4 6.8 17.3 156.8 16 0 0 62.02 37.85 1.01 6.4E+4 6.8 17.3 156.8 16 6 0 63.50 36.98 1.01 6.2E+4 6.8 17.3 156.7 16 12 0 64.95 36.10 1.01 6.1E+4 6.8 17.3 156.7 16 18 0 66.37 35.20 1.01 5.9E+4 6.8 17.3 156.6 16 24 0 67.77 34.30 1.01 5.7E+4 6.8 17.3 156.6 16 30 0 69.15 33.39 1.01 5.6E+4 6.8 17.3 156.5 16 36 0 70.50 32.46 1.01 5.4E+4 6.8 17.3 156.5 16 42 0 71.83 31.54 1.01 5.2E+4 6.8 17.3 156.4 16 48 0 73.15 30.60 1.01 5.0E+4 6.8 17.3 156.3 16 54 0 74.44 29.66 1.01 4.9E+4 6.8 17.3 156.3 17 0 0 75.72 28.71 1.01 4.7E+4 6.8 17.3 156.2 17 6 0 76.97 27.76 1.01 4.5E+4 6.8 17.3 156.2 17 12 0 78.22 26.80 1.01 4.3E+4 6.8 17.3 156.1 17 18 0 79.45 25.83 1.01 4.1E+4 6.8 17.3 156.1 17 24 0 80.66 24.87 1.01 3.9E+4 6.8 17.3 156.0 17 30 0 81.86 23.90 1.01 3.7E+4 6.8 17.3 156.0 17 36 0 83.05 22.92 1.01 3.6E+4 6.8 17.3 155.9 17 42 0 84.23 21.95 1.01 3.4E+4 6.8 17.3 155.9 17 48 0 85.40 20.97 1.01 3.2E+4 6.8 17.3 155.8 17 54 0 86.56 19.99 1.01 3.0E+4 6.8 17.3 155.7 18 0 0 87.72 19.01 1.01 2.8E+4 6.8 17.3 155.7 18 6 0 88.86 18.03 1.01 2.6E+4 6.8 17.3 155.6 18 12 0 90.00 17.05 1.01 2.4E+4 6.8 17.3 155.6 18 18 0 91.13 16.07 1.01 2.2E+4 6.8 17.3 155.5 18 24 0 92.26 15.09 1.01 2.0E+4 6.8 17.3 155.5 18 30 0 93.38 14.11 1.01 1.8E+4 6.8 17.3 155.4 18 36 0 94.50 13.13 1.01 1.6E+4 6.8 17.3 155.4 18 42 0 95.61 12.15 1.01 1.4E+4 6.8 17.3 155.3 18 48 0 96.73 11.18 1.01 1.3E+4 6.8 17.3 155.2 18 54 0 97.84 10.20 1.01 1.1E+4 6.8 17.3 155.2 19 0 0 98.95 9.23 1.01 9.0E+3 6.8 17.3 155.1 19 6 0 100.06 8.27 1.01 7.4E+3 6.8 17.3 155.1 19 12 0 101.17 7.30 1.01 5.9E+3 6.8 17.3 155.0 19 18 0 102.28 6.34 1.01 4.4E+3 6.8 17.4 155.0 19 24 0 103.39 5.38 1.01 3.2E+3 6.8 17.4 154.9 19 30 0 104.51 4.43 1.01 2.1E+3 6.8 17.4 154.9 19 36 0 105.62 3.48 1.01 1.2E+3 6.8 17.4 154.8 19 42 0 106.74 2.54 1.01 5.7E+2 6.8 17.4 154.7 19 48 0 107.87 1.60 1.01 1.8E+2 6.8 17.4 154.7 19 54 0 109.00 0.67 1.01 2.5E+1 6.8 17.4 154.6 20 0 0 110.13 -0.25 1.01 0 6.8 17.4 154.6 20 6 0 111.27 -1.17 1.01 0 6.8 17.4 154.5 20 12 0 112.41 -2.08 1.01 0 6.8 17.4 154.5 20 18 0 113.57 -2.98 1.01 0 6.8 17.4 154.4 20 24 0 114.72 -3.88 1.01 0 6.8 17.4 154.4 20 30 0 115.89 -4.77 1.01 0 6.8 17.4 154.3 20 36 0 117.07 -5.65 1.01 0 6.8 17.4 154.3 20 42 0 118.25 -6.52 1.01 0 6.8 17.4 154.2 20 48 0 119.44 -7.38 1.01 0 6.8 17.4 154.1 20 54 0 120.64 -8.22 1.01 0 6.8 17.4 154.1 21 0 0 121.86 -9.06 1.01 0 6.8 17.4 154.0 21 6 0 123.08 -9.89 1.01 0 6.8 17.4 154.0 21 12 0 124.31 -10.71 1.01 0 6.8 17.4 153.9 21 18 0 125.56 -11.51 1.01 0 6.8 17.4 153.9 21 24 0 126.81 -12.31 1.01 0 6.8 17.4 153.8 21 30 0 128.08 -13.09 1.01 0 6.8 17.4 153.8 21 36 0 129.37 -13.85 1.01 0 6.8 17.4 153.7 21 42 0 130.66 -14.60 1.01 0 6.8 17.4 153.6 21 48 0 131.97 -15.34 1.01 0 6.8 17.4 153.6 21 54 0 133.29 -16.06 1.01 0 6.8 17.4 153.5 22 0 0 134.63 -16.77 1.01 0 6.8 17.4 153.5 22 6 0 135.98 -17.46 1.01 0 6.8 17.4 153.4 22 12 0 137.34 -18.13 1.01 0 6.8 17.4 153.4 22 18 0 138.72 -18.79 1.01 0 6.8 17.4 153.3 22 24 0 140.11 -19.43 1.01 0 6.8 17.4 153.3 22 30 0 141.52 -20.05 1.01 0 6.8 17.4 153.2 22 36 0 142.94 -20.65 1.01 0 6.8 17.4 153.2 22 42 0 144.38 -21.24 1.01 0 6.8 17.4 153.1 22 48 0 145.83 -21.80 1.01 0 6.8 17.4 153.0 22 54 0 147.30 -22.34 1.01 0 6.8 17.4 153.0 23 0 0 148.78 -22.86 1.01 0 6.8 17.4 152.9 23 6 0 150.27 -23.36 1.01 0 6.8 17.4 152.9 23 12 0 151.78 -23.83 1.01 0 6.8 17.4 152.8 23 18 0 153.31 -24.29 1.01 0 6.8 17.4 152.8 23 24 0 154.85 -24.72 1.01 0 6.8 17.4 152.7 23 30 0 156.40 -25.12 1.01 0 6.8 17.4 152.7 23 36 0 157.96 -25.50 1.01 0 6.8 17.4 152.6 23 42 0 159.53 -25.86 1.01 0 6.8 17.4 152.5 23 48 0 161.12 -26.19 1.01 0 6.8 17.4 152.5 23 54 0 162.72 -26.50 1.01 0 6.8 17.4 152.4 0 0 0 164.32 -26.78 1.01 0 6.8 17.4 152.4 0 6 0 165.94 -27.03 1.01 0 6.8 17.4 152.3 0 12 0 167.56 -27.26 1.01 0 6.8 17.4 152.3 0 18 0 169.20 -27.45 1.01 0 6.8 17.4 152.2 0 24 0 170.83 -27.63 1.01 0 6.8 17.4 152.2 0 30 0 172.48 -27.77 1.01 0 6.8 17.4 152.1 0 36 0 174.13 -27.89 1.01 0 6.8 17.4 152.1 0 42 0 175.78 -27.97 1.01 0 6.8 17.4 152.0 0 48 0 177.44 -28.03 1.01 0 6.8 17.4 151.9 0 54 0 179.10 -28.06 1.01 0 6.8 17.4 151.9 1 0 0 -179.25 -28.07 1.01 0 6.8 17.4 151.8 1 6 0 -177.59 -28.04 1.01 0 6.8 17.4 151.8 1 12 0 -175.93 -27.99 1.01 0 6.8 17.4 151.7 1 18 0 -174.28 -27.90 1.01 0 6.8 17.4 151.7 1 24 0 -172.63 -27.79 1.01 0 6.8 17.4 151.6 1 30 0 -170.98 -27.65 1.01 0 6.8 17.4 151.6 1 36 0 -169.34 -27.49 1.01 0 6.8 17.4 151.5 1 42 0 -167.71 -27.30 1.01 0 6.8 17.4 151.4 1 48 0 -166.08 -27.07 1.01 0 6.8 17.4 151.4 1 54 0 -164.46 -26.83 1.01 0 6.8 17.4 151.3 2 0 0 -162.85 -26.55 1.01 0 6.8 17.4 151.3 2 6 0 -161.26 -26.25 1.01 0 6.8 17.4 151.2 2 12 0 -159.67 -25.92 1.01 0 6.8 17.4 151.2 2 18 0 -158.09 -25.57 1.01 0 6.8 17.4 151.1 2 24 0 -156.52 -25.20 1.01 0 6.8 17.4 151.1 2 30 0 -154.97 -24.79 1.01 0 6.8 17.4 151.0 2 36 0 -153.43 -24.37 1.01 0 6.8 17.4 151.0 2 42 0 -151.91 -23.92 1.01 0 6.8 17.4 150.9 2 48 0 -150.39 -23.45 1.01 0 6.8 17.5 150.8 2 54 0 -148.89 -22.95 1.01 0 6.8 17.5 150.8 3 0 0 -147.41 -22.44 1.01 0 6.8 17.5 150.7 3 6 0 -145.94 -21.90 1.01 0 6.8 17.5 150.7 3 12 0 -144.48 -21.34 1.01 0 6.8 17.5 150.6 3 18 0 -143.04 -20.76 1.01 0 6.8 17.5 150.6 3 24 0 -141.62 -20.17 1.01 0 6.8 17.5 150.5 3 30 0 -140.21 -19.55 1.01 0 6.8 17.5 150.5 3 36 0 -138.81 -18.91 1.01 0 6.8 17.5 150.4 3 42 0 -137.43 -18.26 1.01 0 6.8 17.5 150.3 3 48 0 -136.06 -17.59 1.01 0 6.8 17.5 150.3 3 54 0 -134.71 -16.90 1.01 0 6.8 17.5 150.2 4 0 0 -133.37 -16.20 1.01 0 6.8 17.5 150.2 4 6 0 -132.04 -15.48 1.01 0 6.8 17.5 150.1 4 12 0 -130.73 -14.75 1.01 0 6.8 17.5 150.1 4 18 0 -129.43 -14.00 1.01 0 6.8 17.5 150.0 4 24 0 -128.15 -13.24 1.01 0 6.8 17.5 150.0 4 30 0 -126.88 -12.46 1.01 0 6.8 17.5 149.9 4 36 0 -125.62 -11.67 1.01 0 6.8 17.5 149.8 4 42 0 -124.37 -10.87 1.01 0 6.8 17.5 149.8 4 48 0 -123.13 -10.05 1.01 0 6.8 17.5 149.7 4 54 0 -121.90 -9.23 1.01 0 6.8 17.5 149.7 5 0 0 -120.69 -8.39 1.01 0 6.8 17.5 149.6 5 6 0 -119.48 -7.54 1.01 0 6.8 17.5 149.6 5 12 0 -118.29 -6.69 1.01 0 6.8 17.5 149.5 5 18 0 -117.10 -5.82 1.01 0 6.8 17.5 149.5 5 24 0 -115.92 -4.94 1.01 0 6.8 17.5 149.4 5 30 0 -114.75 -4.06 1.01 0 6.8 17.5 149.4 5 36 0 -113.59 -3.17 1.01 0 6.8 17.5 149.3 5 42 0 -112.44 -2.26 1.01 0 6.8 17.5 149.2 5 48 0 -111.29 -1.36 1.01 0 6.8 17.5 149.2 5 54 0 -110.15 -0.44 1.01 0 6.8 17.5 149.1 6 0 0 -109.01 0.48 1.01 1.3E+1 6.8 17.5 149.1 6 6 0 -107.88 1.41 1.01 1.4E+2 6.8 17.5 149.0 6 12 0 -106.75 2.35 1.01 4.7E+2 6.8 17.5 149.0 6 18 0 -105.63 3.29 1.01 1.1E+3 6.8 17.5 148.9 6 24 0 -104.51 4.23 1.01 1.9E+3 6.8 17.5 148.9 6 30 0 -103.39 5.18 1.01 2.9E+3 6.8 17.5 148.8 6 36 0 -102.28 6.14 1.01 4.2E+3 6.8 17.5 148.7 6 42 0 -101.16 7.10 1.01 5.6E+3 6.8 17.5 148.7 6 48 0 -100.05 8.06 1.01 7.1E+3 6.8 17.5 148.6 6 54 0 -98.94 9.02 1.01 8.7E+3 6.8 17.5 148.6 7 0 0 -97.83 9.99 1.01 1.0E+4 6.8 17.5 148.5 7 6 0 -96.71 10.96 1.01 1.2E+4 6.8 17.5 148.5 7 12 0 -95.60 11.94 1.01 1.4E+4 6.8 17.5 148.4 7 18 0 -94.48 12.91 1.01 1.6E+4 6.8 17.5 148.4 7 24 0 -93.36 13.89 1.01 1.8E+4 6.8 17.5 148.3 7 30 0 -92.23 14.87 1.01 2.0E+4 6.8 17.5 148.3 7 36 0 -91.11 15.85 1.01 2.1E+4 6.8 17.5 148.2 7 42 0 -89.97 16.83 1.01 2.3E+4 6.8 17.5 148.1 7 48 0 -88.83 17.81 1.01 2.5E+4 6.8 17.5 148.1 7 54 0 -87.69 18.78 1.01 2.7E+4 6.8 17.5 148.0 8 0 0 -86.53 19.76 1.01 2.9E+4 6.8 17.5 148.0 8 6 0 -85.37 20.74 1.01 3.1E+4 6.8 17.5 147.9 8 12 0 -84.20 21.71 1.01 3.3E+4 6.8 17.5 147.9 8 18 0 -83.02 22.69 1.01 3.5E+4 6.8 17.5 147.8 8 24 0 -81.83 23.66 1.01 3.7E+4 6.8 17.5 147.8 8 30 0 -80.62 24.63 1.01 3.9E+4 6.8 17.5 147.7 8 36 0 -79.40 25.59 1.01 4.1E+4 6.8 17.5 147.6 8 42 0 -78.17 26.55 1.01 4.3E+4 6.8 17.5 147.6 8 48 0 -76.93 27.51 1.01 4.5E+4 6.8 17.5 147.5 8 54 0 -75.67 28.46 1.01 4.6E+4 6.8 17.5 147.5 9 0 0 -74.39 29.40 1.01 4.8E+4 6.8 17.5 147.4 9 6 0 -73.10 30.34 1.01 5.0E+4 6.8 17.5 147.4 9 12 0 -71.79 31.28 1.01 5.2E+4 6.8 17.5 147.3 9 18 0 -70.45 32.20 1.01 5.4E+4 6.8 17.5 147.3 9 24 0 -69.10 33.12 1.01 5.5E+4 6.8 17.5 147.2 9 30 0 -67.72 34.03 1.01 5.7E+4 6.8 17.5 147.2 9 36 0 -66.32 34.94 1.01 5.9E+4 6.8 17.5 147.1 9 42 0 -64.90 35.83 1.01 6.0E+4 6.8 17.5 147.0 9 48 0 -63.45 36.71 1.01 6.2E+4 6.8 17.5 147.0 9 54 0 -61.97 37.58 1.01 6.3E+4 6.9 17.5 146.9 10 0 0 -60.47 38.44 1.01 6.5E+4 6.9 17.5 146.9 10 6 0 -58.93 39.28 1.01 6.6E+4 6.9 17.5 146.8 10 12 0 -57.37 40.11 1.01 6.8E+4 6.9 17.5 146.8 10 18 0 -55.77 40.93 1.01 6.9E+4 6.9 17.6 146.7 10 24 0 -54.14 41.73 1.01 7.0E+4 6.9 17.6 146.7 10 30 0 -52.47 42.52 1.01 7.2E+4 6.9 17.6 146.6 10 36 0 -50.77 43.28 1.01 7.3E+4 6.9 17.6 146.5 10 42 0 -49.03 44.03 1.01 7.4E+4 6.9 17.6 146.5 10 48 0 -47.25 44.76 1.01 7.5E+4 6.9 17.6 146.4 10 54 0 -45.43 45.47 1.01 7.6E+4 6.9 17.6 146.4 11 0 0 -43.58 46.16 1.01 7.8E+4 6.9 17.6 146.3 11 6 0 -41.68 46.82 1.01 7.9E+4 6.9 17.6 146.3 11 12 0 -39.74 47.46 1.01 8.0E+4 6.9 17.6 146.2 11 18 0 -37.77 48.07 1.01 8.0E+4 6.9 17.6 146.2 11 24 0 -35.75 48.65 1.01 8.1E+4 6.9 17.6 146.1 11 30 0 -33.68 49.21 1.01 8.2E+4 6.9 17.6 146.0 11 36 0 -31.58 49.74 1.01 8.3E+4 6.9 17.6 146.0 11 42 0 -29.44 50.23 1.01 8.4E+4 6.9 17.6 145.9 11 48 0 -27.26 50.70 1.01 8.4E+4 6.9 17.6 145.9 11 54 0 -25.04 51.13 1.01 8.5E+4 6.9 17.6 145.8 12 0 0 -22.78 51.53 1.01 8.5E+4 6.9 17.6 145.8 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 12.90 -3.8 9.77 21.0 2.66 -6.0 5:16 20:39 35.0 12.90 -3.8 8.61 27.7 0.50 -12.0 4:32 21:22 78.3 12.90 -3.8 7.16 36.5 -2.05 -18.0 3:43 22:12 127.7 12.90 -3.8 5.52 47.4 -3.15 from 4 values is 4:50 21: 4 60.3 12.90 -3.8 7.77 33.1 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 12.57 -3.6 9.83 20.4 2.66 -6.0 5:17 20:37 34.8 12.57 -3.6 8.67 27.2 0.50 -12.0 4:34 21:20 77.9 12.57 -3.6 7.23 35.9 -2.05 -18.0 3:45 22: 9 126.8 12.57 -3.6 5.60 46.6 -3.15 from 4 values is 4:52 21: 2 59.9 12.57 -3.6 7.83 32.5 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 141.21 -39.14 60.773 -162 -12.20 -2.4 -21.1 -5.3 113.2 12 12 0 142.92 -39.70 60.778 -162 -12.20 -2.4 -21.2 -5.3 113.3 12 18 0 144.66 -40.23 60.783 -162 -12.20 -2.4 -21.2 -5.2 113.3 12 24 0 146.43 -40.74 60.788 -162 -12.20 -2.4 -21.2 -5.2 113.4 12 30 0 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PhA