Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 -15.11 43.63 1.01 7.4E+4 7.2 23.8 103.8 12 12 0 -13.07 43.87 1.01 7.5E+4 7.2 23.8 103.7 12 18 0 -11.01 44.07 1.01 7.5E+4 7.2 23.8 103.7 12 24 0 -8.93 44.24 1.01 7.5E+4 7.2 23.8 103.6 12 30 0 -6.85 44.37 1.01 7.6E+4 7.2 23.8 103.6 12 36 0 -4.76 44.47 1.01 7.6E+4 7.2 23.8 103.5 12 42 0 -2.66 44.53 1.01 7.6E+4 7.2 23.8 103.4 12 48 0 -0.56 44.55 1.01 7.6E+4 7.2 23.8 103.4 12 54 0 1.54 44.54 1.01 7.6E+4 7.2 23.8 103.3 13 0 0 3.64 44.50 1.01 7.6E+4 7.2 23.8 103.3 13 6 0 5.73 44.42 1.01 7.6E+4 7.2 23.8 103.2 13 12 0 7.82 44.30 1.01 7.5E+4 7.2 23.8 103.2 13 18 0 9.90 44.15 1.01 7.5E+4 7.2 23.8 103.1 13 24 0 11.97 43.96 1.01 7.5E+4 7.2 23.8 103.1 13 30 0 14.02 43.74 1.01 7.5E+4 7.2 23.8 103.0 13 36 0 16.06 43.48 1.01 7.4E+4 7.2 23.8 103.0 13 42 0 18.08 43.19 1.01 7.4E+4 7.2 23.8 102.9 13 48 0 20.08 42.87 1.01 7.3E+4 7.2 23.8 102.8 13 54 0 22.06 42.52 1.01 7.3E+4 7.2 23.8 102.8 14 0 0 24.01 42.13 1.01 7.2E+4 7.2 23.8 102.7 14 6 0 25.95 41.72 1.01 7.1E+4 7.2 23.8 102.7 14 12 0 27.86 41.27 1.01 7.0E+4 7.2 23.8 102.6 14 18 0 29.74 40.80 1.01 7.0E+4 7.2 23.8 102.6 14 24 0 31.60 40.30 1.01 6.9E+4 7.2 23.8 102.5 14 30 0 33.42 39.77 1.01 6.8E+4 7.2 23.8 102.5 14 36 0 35.23 39.21 1.01 6.7E+4 7.2 23.8 102.4 14 42 0 37.00 38.63 1.01 6.6E+4 7.2 23.8 102.3 14 48 0 38.75 38.03 1.01 6.5E+4 7.2 23.8 102.3 14 54 0 40.47 37.40 1.01 6.4E+4 7.2 23.8 102.2 15 0 0 42.16 36.75 1.01 6.3E+4 7.2 23.8 102.2 15 6 0 43.82 36.08 1.01 6.1E+4 7.2 23.8 102.1 15 12 0 45.46 35.39 1.01 6.0E+4 7.2 23.8 102.1 15 18 0 47.07 34.68 1.01 5.9E+4 7.2 23.8 102.0 15 24 0 48.65 33.96 1.01 5.7E+4 7.2 23.8 102.0 15 30 0 50.21 33.21 1.01 5.6E+4 7.2 23.8 101.9 15 36 0 51.75 32.45 1.01 5.5E+4 7.2 23.8 101.9 15 42 0 53.25 31.67 1.01 5.3E+4 7.2 23.8 101.8 15 48 0 54.74 30.87 1.01 5.2E+4 7.2 23.8 101.7 15 54 0 56.20 30.06 1.01 5.0E+4 7.2 23.8 101.7 16 0 0 57.64 29.24 1.01 4.8E+4 7.2 23.8 101.6 16 6 0 59.06 28.41 1.01 4.7E+4 7.2 23.8 101.6 16 12 0 60.45 27.56 1.01 4.5E+4 7.2 23.8 101.5 16 18 0 61.83 26.70 1.01 4.4E+4 7.2 23.8 101.5 16 24 0 63.19 25.83 1.01 4.2E+4 7.2 23.8 101.4 16 30 0 64.53 24.95 1.01 4.0E+4 7.2 23.8 101.4 16 36 0 65.85 24.05 1.01 3.8E+4 7.2 23.8 101.3 16 42 0 67.16 23.15 1.01 3.6E+4 7.2 23.8 101.2 16 48 0 68.45 22.24 1.01 3.5E+4 7.2 23.8 101.2 16 54 0 69.72 21.33 1.01 3.3E+4 7.2 23.8 101.1 17 0 0 70.98 20.40 1.01 3.1E+4 7.2 23.8 101.1 17 6 0 72.23 19.47 1.01 2.9E+4 7.2 23.8 101.0 17 12 0 73.46 18.53 1.01 2.7E+4 7.2 23.8 101.0 17 18 0 74.69 17.59 1.01 2.5E+4 7.2 23.8 100.9 17 24 0 75.90 16.64 1.01 2.3E+4 7.2 23.8 100.9 17 30 0 77.10 15.69 1.01 2.1E+4 7.2 23.8 100.8 17 36 0 78.29 14.73 1.01 2.0E+4 7.2 23.8 100.7 17 42 0 79.47 13.76 1.01 1.8E+4 7.2 23.8 100.7 17 48 0 80.65 12.80 1.01 1.6E+4 7.2 23.8 100.6 17 54 0 81.81 11.83 1.01 1.4E+4 7.2 23.8 100.6 18 0 0 82.98 10.85 1.01 1.2E+4 7.2 23.8 100.5 18 6 0 84.13 9.88 1.01 1.0E+4 7.2 23.8 100.5 18 12 0 85.28 8.90 1.01 8.6E+3 7.2 23.8 100.4 18 18 0 86.43 7.92 1.01 6.9E+3 7.2 23.8 100.4 18 24 0 87.57 6.94 1.01 5.4E+3 7.2 23.8 100.3 18 30 0 88.71 5.96 1.01 4.0E+3 7.2 23.8 100.3 18 36 0 89.84 4.98 1.01 2.7E+3 7.2 23.8 100.2 18 42 0 90.98 4.00 1.01 1.7E+3 7.2 23.8 100.1 18 48 0 92.11 3.02 1.01 8.7E+2 7.2 23.8 100.1 18 54 0 93.24 2.04 1.01 3.4E+2 7.2 23.8 100.0 19 0 0 94.37 1.06 1.01 6.9E+1 7.2 23.8 100.0 19 6 0 95.51 0.08 1.01 8.9E-1 7.2 23.8 99.9 19 12 0 96.64 -0.90 1.01 0 7.2 23.8 99.9 19 18 0 97.78 -1.87 1.01 0 7.2 23.8 99.8 19 24 0 98.92 -2.84 1.01 0 7.2 23.8 99.8 19 30 0 100.07 -3.81 1.01 0 7.2 23.8 99.7 19 36 0 101.21 -4.78 1.01 0 7.2 23.8 99.6 19 42 0 102.37 -5.74 1.01 0 7.2 23.8 99.6 19 48 0 103.53 -6.69 1.01 0 7.2 23.8 99.5 19 54 0 104.69 -7.64 1.01 0 7.2 23.8 99.5 20 0 0 105.86 -8.59 1.01 0 7.2 23.8 99.4 20 6 0 107.04 -9.53 1.01 0 7.2 23.8 99.4 20 12 0 108.23 -10.47 1.01 0 7.2 23.8 99.3 20 18 0 109.43 -11.40 1.01 0 7.2 23.8 99.3 20 24 0 110.63 -12.32 1.01 0 7.2 23.8 99.2 20 30 0 111.85 -13.24 1.01 0 7.2 23.8 99.2 20 36 0 113.07 -14.14 1.01 0 7.2 23.8 99.1 20 42 0 114.31 -15.04 1.01 0 7.2 23.8 99.0 20 48 0 115.56 -15.93 1.01 0 7.2 23.8 99.0 20 54 0 116.82 -16.81 1.01 0 7.2 23.8 98.9 21 0 0 118.10 -17.68 1.01 0 7.2 23.8 98.9 21 6 0 119.38 -18.54 1.01 0 7.2 23.8 98.8 21 12 0 120.69 -19.40 1.01 0 7.2 23.8 98.8 21 18 0 122.01 -20.23 1.01 0 7.2 23.8 98.7 21 24 0 123.34 -21.06 1.01 0 7.2 23.8 98.7 21 30 0 124.69 -21.87 1.01 0 7.2 23.8 98.6 21 36 0 126.06 -22.67 1.01 0 7.2 23.8 98.5 21 42 0 127.44 -23.46 1.01 0 7.2 23.8 98.5 21 48 0 128.85 -24.23 1.01 0 7.2 23.8 98.4 21 54 0 130.27 -24.99 1.01 0 7.2 23.8 98.4 22 0 0 131.71 -25.73 1.01 0 7.2 23.8 98.3 22 6 0 133.17 -26.46 1.01 0 7.2 23.8 98.3 22 12 0 134.64 -27.17 1.01 0 7.2 23.8 98.2 22 18 0 136.14 -27.86 1.01 0 7.2 23.8 98.2 22 24 0 137.66 -28.53 1.01 0 7.2 23.8 98.1 22 30 0 139.20 -29.18 1.01 0 7.2 23.8 98.1 22 36 0 140.76 -29.81 1.01 0 7.2 23.8 98.0 22 42 0 142.34 -30.42 1.01 0 7.2 23.8 97.9 22 48 0 143.94 -31.01 1.01 0 7.2 23.8 97.9 22 54 0 145.56 -31.58 1.01 0 7.2 23.8 97.8 23 0 0 147.21 -32.12 1.01 0 7.2 23.8 97.8 23 6 0 148.87 -32.64 1.01 0 7.2 23.8 97.7 23 12 0 150.55 -33.14 1.01 0 7.2 23.8 97.7 23 18 0 152.25 -33.61 1.01 0 7.2 23.8 97.6 23 24 0 153.98 -34.05 1.01 0 7.2 23.8 97.6 23 30 0 155.71 -34.47 1.01 0 7.2 23.8 97.5 23 36 0 157.47 -34.86 1.01 0 7.2 23.8 97.4 23 42 0 159.25 -35.23 1.01 0 7.2 23.8 97.4 23 48 0 161.04 -35.56 1.01 0 7.2 23.8 97.3 23 54 0 162.84 -35.87 1.01 0 7.2 23.8 97.3 0 0 0 164.66 -36.14 1.01 0 7.2 23.8 97.2 0 6 0 166.49 -36.39 1.01 0 7.2 23.8 97.2 0 12 0 168.34 -36.60 1.01 0 7.2 23.8 97.1 0 18 0 170.19 -36.79 1.01 0 7.2 23.8 97.1 0 24 0 172.05 -36.94 1.01 0 7.2 23.8 97.0 0 30 0 173.92 -37.06 1.01 0 7.2 23.8 97.0 0 36 0 175.80 -37.15 1.01 0 7.2 23.8 96.9 0 42 0 177.67 -37.21 1.01 0 7.2 23.8 96.8 0 48 0 179.55 -37.23 1.01 0 7.2 23.8 96.8 0 54 0 -178.56 -37.23 1.01 0 7.2 23.9 96.7 1 0 0 -176.68 -37.19 1.01 0 7.2 23.9 96.7 1 6 0 -174.81 -37.12 1.01 0 7.2 23.9 96.6 1 12 0 -172.94 -37.01 1.01 0 7.2 23.9 96.6 1 18 0 -171.07 -36.88 1.01 0 7.2 23.9 96.5 1 24 0 -169.21 -36.71 1.01 0 7.2 23.9 96.5 1 30 0 -167.36 -36.52 1.01 0 7.2 23.9 96.4 1 36 0 -165.52 -36.29 1.01 0 7.2 23.9 96.3 1 42 0 -163.70 -36.03 1.01 0 7.2 23.9 96.3 1 48 0 -161.88 -35.74 1.01 0 7.2 23.9 96.2 1 54 0 -160.08 -35.42 1.01 0 7.2 23.9 96.2 2 0 0 -158.30 -35.08 1.01 0 7.2 23.9 96.1 2 6 0 -156.53 -34.70 1.01 0 7.2 23.9 96.1 2 12 0 -154.78 -34.30 1.01 0 7.2 23.9 96.0 2 18 0 -153.05 -33.87 1.01 0 7.2 23.9 96.0 2 24 0 -151.34 -33.41 1.01 0 7.2 23.9 95.9 2 30 0 -149.64 -32.93 1.01 0 7.2 23.9 95.9 2 36 0 -147.97 -32.42 1.01 0 7.2 23.9 95.8 2 42 0 -146.31 -31.89 1.01 0 7.2 23.9 95.7 2 48 0 -144.68 -31.34 1.01 0 7.2 23.9 95.7 2 54 0 -143.07 -30.76 1.01 0 7.2 23.9 95.6 3 0 0 -141.47 -30.17 1.01 0 7.2 23.9 95.6 3 6 0 -139.90 -29.55 1.01 0 7.2 23.9 95.5 3 12 0 -138.35 -28.91 1.01 0 7.2 23.9 95.5 3 18 0 -136.82 -28.25 1.01 0 7.2 23.9 95.4 3 24 0 -135.31 -27.57 1.01 0 7.2 23.9 95.4 3 30 0 -133.82 -26.87 1.01 0 7.2 23.9 95.3 3 36 0 -132.35 -26.16 1.01 0 7.2 23.9 95.2 3 42 0 -130.90 -25.42 1.01 0 7.2 23.9 95.2 3 48 0 -129.46 -24.68 1.01 0 7.2 23.9 95.1 3 54 0 -128.05 -23.91 1.01 0 7.2 23.9 95.1 4 0 0 -126.65 -23.14 1.01 0 7.2 23.9 95.0 4 6 0 -125.28 -22.34 1.01 0 7.2 23.9 95.0 4 12 0 -123.92 -21.54 1.01 0 7.2 23.9 94.9 4 18 0 -122.57 -20.72 1.01 0 7.2 23.9 94.9 4 24 0 -121.24 -19.89 1.01 0 7.2 23.9 94.8 4 30 0 -119.93 -19.05 1.01 0 7.2 23.9 94.8 4 36 0 -118.63 -18.19 1.01 0 7.2 23.9 94.7 4 42 0 -117.35 -17.33 1.01 0 7.2 23.9 94.6 4 48 0 -116.08 -16.45 1.01 0 7.2 23.9 94.6 4 54 0 -114.82 -15.57 1.01 0 7.2 23.9 94.5 5 0 0 -113.57 -14.68 1.01 0 7.2 23.9 94.5 5 6 0 -112.34 -13.77 1.01 0 7.2 23.9 94.4 5 12 0 -111.12 -12.86 1.01 0 7.2 23.9 94.4 5 18 0 -109.90 -11.95 1.01 0 7.2 23.9 94.3 5 24 0 -108.70 -11.02 1.01 0 7.2 23.9 94.3 5 30 0 -107.51 -10.09 1.01 0 7.2 23.9 94.2 5 36 0 -106.32 -9.16 1.01 0 7.2 23.9 94.1 5 42 0 -105.15 -8.21 1.01 0 7.2 23.9 94.1 5 48 0 -103.98 -7.27 1.01 0 7.2 23.9 94.0 5 54 0 -102.81 -6.31 1.01 0 7.2 23.9 94.0 6 0 0 -101.65 -5.36 1.01 0 7.2 23.9 93.9 6 6 0 -100.50 -4.40 1.01 0 7.2 23.9 93.9 6 12 0 -99.35 -3.43 1.01 0 7.2 23.9 93.8 6 18 0 -98.21 -2.46 1.01 0 7.2 23.9 93.8 6 24 0 -97.07 -1.49 1.01 0 7.2 23.9 93.7 6 30 0 -95.93 -0.52 1.01 0 7.2 23.9 93.7 6 36 0 -94.79 0.45 1.01 1.2E+1 7.2 23.9 93.6 6 42 0 -93.65 1.43 1.01 1.4E+2 7.2 23.9 93.5 6 48 0 -92.52 2.41 1.01 5.1E+2 7.2 23.9 93.5 6 54 0 -91.38 3.39 1.01 1.1E+3 7.2 23.9 93.4 7 0 0 -90.25 4.37 1.01 2.0E+3 7.2 23.9 93.4 7 6 0 -89.11 5.34 1.01 3.2E+3 7.2 23.9 93.3 7 12 0 -87.97 6.32 1.01 4.5E+3 7.2 23.9 93.3 7 18 0 -86.83 7.30 1.01 5.9E+3 7.2 23.9 93.2 7 24 0 -85.68 8.28 1.01 7.5E+3 7.2 23.9 93.2 7 30 0 -84.53 9.25 1.01 9.2E+3 7.2 23.9 93.1 7 36 0 -83.38 10.23 1.01 1.1E+4 7.2 23.9 93.0 7 42 0 -82.22 11.20 1.01 1.3E+4 7.2 23.9 93.0 7 48 0 -81.05 12.17 1.01 1.5E+4 7.2 23.9 92.9 7 54 0 -79.88 13.13 1.01 1.6E+4 7.2 23.9 92.9 8 0 0 -78.70 14.10 1.01 1.8E+4 7.2 23.9 92.8 8 6 0 -77.51 15.05 1.01 2.0E+4 7.2 23.9 92.8 8 12 0 -76.31 16.01 1.01 2.2E+4 7.2 23.9 92.7 8 18 0 -75.10 16.96 1.01 2.4E+4 7.2 23.9 92.7 8 24 0 -73.88 17.90 1.01 2.6E+4 7.2 23.9 92.6 8 30 0 -72.65 18.84 1.01 2.8E+4 7.2 23.9 92.6 8 36 0 -71.41 19.77 1.01 3.0E+4 7.2 23.9 92.5 8 42 0 -70.15 20.69 1.01 3.2E+4 7.2 23.9 92.4 8 48 0 -68.88 21.61 1.01 3.3E+4 7.2 23.9 92.4 8 54 0 -67.60 22.52 1.01 3.5E+4 7.2 23.9 92.3 9 0 0 -66.30 23.42 1.01 3.7E+4 7.2 23.9 92.3 9 6 0 -64.99 24.31 1.01 3.9E+4 7.2 23.9 92.2 9 12 0 -63.65 25.19 1.01 4.1E+4 7.2 23.9 92.2 9 18 0 -62.30 26.07 1.01 4.2E+4 7.2 23.9 92.1 9 24 0 -60.93 26.93 1.01 4.4E+4 7.2 23.9 92.1 9 30 0 -59.54 27.78 1.01 4.6E+4 7.2 23.9 92.0 9 36 0 -58.14 28.62 1.01 4.7E+4 7.2 23.9 91.9 9 42 0 -56.71 29.44 1.01 4.9E+4 7.2 23.9 91.9 9 48 0 -55.25 30.25 1.01 5.0E+4 7.2 23.9 91.8 9 54 0 -53.78 31.05 1.01 5.2E+4 7.2 23.9 91.8 10 0 0 -52.28 31.83 1.01 5.3E+4 7.2 23.9 91.7 10 6 0 -50.76 32.60 1.01 5.5E+4 7.2 23.9 91.7 10 12 0 -49.22 33.35 1.01 5.6E+4 7.2 23.9 91.6 10 18 0 -47.65 34.08 1.01 5.8E+4 7.2 23.9 91.6 10 24 0 -46.05 34.79 1.01 5.9E+4 7.2 23.9 91.5 10 30 0 -44.43 35.49 1.01 6.0E+4 7.2 23.9 91.5 10 36 0 -42.78 36.16 1.01 6.2E+4 7.2 23.9 91.4 10 42 0 -41.10 36.81 1.01 6.3E+4 7.2 23.9 91.3 10 48 0 -39.40 37.45 1.01 6.4E+4 7.2 23.9 91.3 10 54 0 -37.67 38.06 1.01 6.5E+4 7.2 23.9 91.2 11 0 0 -35.91 38.64 1.01 6.6E+4 7.2 23.9 91.2 11 6 0 -34.12 39.20 1.01 6.7E+4 7.2 23.9 91.1 11 12 0 -32.31 39.74 1.01 6.8E+4 7.2 23.9 91.1 11 18 0 -30.47 40.25 1.01 6.9E+4 7.2 23.9 91.0 11 24 0 -28.61 40.73 1.01 7.0E+4 7.2 23.9 91.0 11 30 0 -26.72 41.18 1.01 7.0E+4 7.2 23.9 90.9 11 36 0 -24.80 41.61 1.01 7.1E+4 7.2 23.9 90.8 11 42 0 -22.87 42.00 1.01 7.2E+4 7.2 23.9 90.8 11 48 0 -20.91 42.37 1.01 7.2E+4 7.2 23.9 90.7 11 54 0 -18.92 42.70 1.01 7.3E+4 7.2 23.9 90.7 12 0 0 -16.92 43.00 1.01 7.3E+4 7.2 23.9 90.6 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 6:27 19:12 0.0 3.76 4.0 11.25 6.7 2.66 -6.0 5:55 19:44 32.3 3.76 4.0 10.18 12.9 0.50 -12.0 5:17 20:23 70.7 3.76 4.0 8.90 20.4 -2.05 -18.0 4:36 21: 3 111.1 3.76 4.0 7.55 28.8 -3.15 from 4 values is 5:34 20: 5 53.5 3.76 4.0 9.47 17.2 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 6:29 19:10 0.0 3.37 4.4 11.31 6.1 2.66 -6.0 5:56 19:42 32.3 3.37 4.4 10.24 12.3 0.50 -12.0 5:18 20:20 70.5 3.37 4.4 8.96 19.8 -2.05 -18.0 4:38 21: 1 110.7 3.37 4.4 7.62 28.1 -3.15 from 4 values is 5:35 20: 3 53.4 3.37 4.4 9.54 16.6 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 111.88 15.38 58.991 -104 -10.63 -5.9 -9.6 7.0 159.1 12 12 0 112.88 14.51 59.009 -104 -10.63 -5.9 -9.5 7.0 159.2 12 18 0 113.88 13.65 59.027 -104 -10.63 -5.9 -9.5 7.0 159.2 12 24 0 114.88 12.80 59.046 -104 -10.63 -5.9 -9.5 7.0 159.3 12 30 0 115.89 11.95 59.064 -104 -10.62 -5.9 -9.5 7.0 159.3 12 36 0 116.89 11.11 59.082 -103 -10.62 -5.9 -9.4 7.0 159.4 12 42 0 117.90 10.28 59.100 -103 -10.62 -5.9 -9.4 7.0 159.4 12 48 0 118.92 9.46 59.118 -103 -10.62 -5.9 -9.4 7.0 159.5 12 54 0 119.93 8.64 59.136 -103 -10.61 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PhA