Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 -10.77 34.73 1.00 6.0E+4 6.4 26.3 147.0 12 12 0 -8.96 34.90 1.00 6.0E+4 6.4 26.3 147.0 12 18 0 -7.15 35.03 1.00 6.0E+4 6.4 26.3 146.9 12 24 0 -5.33 35.14 1.00 6.0E+4 6.4 26.3 146.9 12 30 0 -3.50 35.21 1.00 6.1E+4 6.4 26.3 146.8 12 36 0 -1.68 35.25 1.00 6.1E+4 6.4 26.3 146.7 12 42 0 0.15 35.26 1.00 6.1E+4 6.4 26.3 146.7 12 48 0 1.98 35.24 1.00 6.1E+4 6.4 26.3 146.6 12 54 0 3.81 35.19 1.00 6.1E+4 6.4 26.3 146.6 13 0 0 5.63 35.11 1.00 6.0E+4 6.4 26.3 146.5 13 6 0 7.45 35.00 1.00 6.0E+4 6.4 26.3 146.5 13 12 0 9.26 34.85 1.00 6.0E+4 6.4 26.3 146.4 13 18 0 11.07 34.68 1.00 6.0E+4 6.4 26.3 146.4 13 24 0 12.86 34.47 1.00 5.9E+4 6.4 26.3 146.3 13 30 0 14.65 34.24 1.00 5.9E+4 6.4 26.3 146.3 13 36 0 16.43 33.98 1.00 5.8E+4 6.4 26.3 146.2 13 42 0 18.19 33.68 1.00 5.8E+4 6.4 26.3 146.1 13 48 0 19.94 33.36 1.00 5.7E+4 6.4 26.3 146.1 13 54 0 21.67 33.01 1.00 5.6E+4 6.4 26.3 146.0 14 0 0 23.39 32.63 1.00 5.6E+4 6.4 26.3 146.0 14 6 0 25.10 32.23 1.00 5.5E+4 6.4 26.3 145.9 14 12 0 26.78 31.80 1.00 5.4E+4 6.4 26.3 145.9 14 18 0 28.45 31.34 1.00 5.3E+4 6.4 26.3 145.8 14 24 0 30.10 30.86 1.00 5.2E+4 6.4 26.3 145.8 14 30 0 31.73 30.36 1.00 5.1E+4 6.4 26.3 145.7 14 36 0 33.35 29.83 1.00 5.0E+4 6.4 26.3 145.6 14 42 0 34.94 29.28 1.00 4.9E+4 6.4 26.3 145.6 14 48 0 36.52 28.70 1.00 4.8E+4 6.4 26.3 145.5 14 54 0 38.08 28.11 1.00 4.7E+4 6.4 26.3 145.5 15 0 0 39.61 27.49 1.00 4.6E+4 6.4 26.3 145.4 15 6 0 41.13 26.85 1.00 4.4E+4 6.4 26.3 145.4 15 12 0 42.63 26.20 1.00 4.3E+4 6.4 26.3 145.3 15 18 0 44.11 25.52 1.00 4.2E+4 6.4 26.3 145.3 15 24 0 45.57 24.83 1.00 4.0E+4 6.4 26.3 145.2 15 30 0 47.02 24.12 1.00 3.9E+4 6.4 26.3 145.2 15 36 0 48.44 23.39 1.00 3.7E+4 6.4 26.3 145.1 15 42 0 49.85 22.65 1.00 3.6E+4 6.4 26.3 145.0 15 48 0 51.24 21.89 1.00 3.4E+4 6.4 26.3 145.0 15 54 0 52.61 21.12 1.00 3.3E+4 6.4 26.3 144.9 16 0 0 53.97 20.33 1.00 3.1E+4 6.4 26.3 144.9 16 6 0 55.31 19.53 1.00 3.0E+4 6.4 26.3 144.8 16 12 0 56.63 18.72 1.00 2.8E+4 6.4 26.3 144.8 16 18 0 57.94 17.89 1.00 2.6E+4 6.4 26.3 144.7 16 24 0 59.24 17.05 1.00 2.4E+4 6.4 26.3 144.7 16 30 0 60.52 16.20 1.00 2.3E+4 6.4 26.3 144.6 16 36 0 61.79 15.34 1.00 2.1E+4 6.4 26.3 144.5 16 42 0 63.05 14.47 1.00 1.9E+4 6.4 26.3 144.5 16 48 0 64.29 13.59 1.00 1.8E+4 6.4 26.3 144.4 16 54 0 65.52 12.71 1.00 1.6E+4 6.4 26.3 144.4 17 0 0 66.74 11.81 1.00 1.4E+4 6.4 26.3 144.3 17 6 0 67.95 10.90 1.00 1.2E+4 6.4 26.3 144.3 17 12 0 69.15 9.99 1.00 1.1E+4 6.4 26.3 144.2 17 18 0 70.35 9.07 1.00 9.0E+3 6.4 26.3 144.2 17 24 0 71.53 8.14 1.00 7.4E+3 6.4 26.3 144.1 17 30 0 72.70 7.21 1.00 5.9E+3 6.4 26.3 144.1 17 36 0 73.87 6.27 1.00 4.5E+3 6.4 26.3 144.0 17 42 0 75.03 5.32 1.00 3.2E+3 6.4 26.3 143.9 17 48 0 76.19 4.37 1.00 2.1E+3 6.4 26.3 143.9 17 54 0 77.34 3.41 1.00 1.2E+3 6.4 26.3 143.8 18 0 0 78.48 2.45 1.00 5.4E+2 6.4 26.3 143.8 18 6 0 79.63 1.49 1.00 1.6E+2 6.4 26.3 143.7 18 12 0 80.76 0.52 1.00 1.6E+1 6.4 26.3 143.7 18 18 0 81.90 -0.45 1.00 0 6.4 26.3 143.6 18 24 0 83.03 -1.42 1.00 0 6.4 26.3 143.6 18 30 0 84.16 -2.40 1.00 0 6.4 26.3 143.5 18 36 0 85.29 -3.37 1.00 0 6.4 26.3 143.4 18 42 0 86.42 -4.35 1.00 0 6.4 26.3 143.4 18 48 0 87.55 -5.33 1.00 0 6.4 26.3 143.3 18 54 0 88.68 -6.31 1.00 0 6.4 26.3 143.3 19 0 0 89.82 -7.30 1.00 0 6.4 26.3 143.2 19 6 0 90.95 -8.28 1.00 0 6.4 26.3 143.2 19 12 0 92.09 -9.26 1.00 0 6.4 26.3 143.1 19 18 0 93.23 -10.24 1.00 0 6.4 26.3 143.1 19 24 0 94.38 -11.22 1.00 0 6.4 26.3 143.0 19 30 0 95.53 -12.20 1.00 0 6.4 26.3 143.0 19 36 0 96.69 -13.17 1.00 0 6.4 26.3 142.9 19 42 0 97.86 -14.15 1.00 0 6.4 26.3 142.8 19 48 0 99.03 -15.12 1.00 0 6.4 26.3 142.8 19 54 0 100.21 -16.08 1.00 0 6.4 26.3 142.7 20 0 0 101.40 -17.05 1.00 0 6.4 26.3 142.7 20 6 0 102.60 -18.01 1.00 0 6.4 26.3 142.6 20 12 0 103.81 -18.96 1.00 0 6.4 26.3 142.6 20 18 0 105.03 -19.91 1.00 0 6.4 26.3 142.5 20 24 0 106.26 -20.86 1.00 0 6.4 26.3 142.5 20 30 0 107.51 -21.80 1.00 0 6.4 26.3 142.4 20 36 0 108.76 -22.73 1.00 0 6.4 26.3 142.3 20 42 0 110.04 -23.66 1.00 0 6.4 26.3 142.3 20 48 0 111.33 -24.58 1.00 0 6.4 26.3 142.2 20 54 0 112.63 -25.49 1.00 0 6.4 26.3 142.2 21 0 0 113.96 -26.39 1.00 0 6.4 26.3 142.1 21 6 0 115.30 -27.28 1.00 0 6.4 26.3 142.1 21 12 0 116.66 -28.16 1.00 0 6.4 26.3 142.0 21 18 0 118.04 -29.03 1.00 0 6.4 26.3 142.0 21 24 0 119.44 -29.90 1.00 0 6.4 26.3 141.9 21 30 0 120.86 -30.74 1.00 0 6.4 26.3 141.9 21 36 0 122.31 -31.58 1.00 0 6.4 26.3 141.8 21 42 0 123.78 -32.40 1.00 0 6.4 26.3 141.7 21 48 0 125.27 -33.21 1.00 0 6.4 26.3 141.7 21 54 0 126.79 -34.01 1.00 0 6.4 26.3 141.6 22 0 0 128.33 -34.79 1.00 0 6.4 26.3 141.6 22 6 0 129.90 -35.55 1.00 0 6.4 26.3 141.5 22 12 0 131.50 -36.29 1.00 0 6.4 26.3 141.5 22 18 0 133.13 -37.02 1.00 0 6.4 26.3 141.4 22 24 0 134.78 -37.73 1.00 0 6.4 26.3 141.4 22 30 0 136.46 -38.41 1.00 0 6.4 26.3 141.3 22 36 0 138.18 -39.08 1.00 0 6.4 26.3 141.2 22 42 0 139.92 -39.72 1.00 0 6.4 26.3 141.2 22 48 0 141.69 -40.34 1.00 0 6.4 26.3 141.1 22 54 0 143.50 -40.94 1.00 0 6.4 26.3 141.1 23 0 0 145.33 -41.51 1.00 0 6.4 26.3 141.0 23 6 0 147.19 -42.06 1.00 0 6.4 26.3 141.0 23 12 0 149.09 -42.58 1.00 0 6.4 26.3 140.9 23 18 0 151.01 -43.07 1.00 0 6.4 26.3 140.9 23 24 0 152.96 -43.53 1.00 0 6.4 26.3 140.8 23 30 0 154.94 -43.96 1.00 0 6.4 26.3 140.8 23 36 0 156.94 -44.36 1.00 0 6.4 26.3 140.7 23 42 0 158.97 -44.73 1.00 0 6.4 26.3 140.6 23 48 0 161.03 -45.07 1.00 0 6.4 26.3 140.6 23 54 0 163.10 -45.37 1.00 0 6.4 26.3 140.5 0 0 0 165.20 -45.64 1.00 0 6.4 26.3 140.5 0 6 0 167.31 -45.88 1.00 0 6.4 26.3 140.4 0 12 0 169.44 -46.08 1.00 0 6.3 26.3 140.4 0 18 0 171.58 -46.24 1.00 0 6.3 26.3 140.3 0 24 0 173.73 -46.37 1.00 0 6.3 26.3 140.3 0 30 0 175.90 -46.46 1.00 0 6.3 26.3 140.2 0 36 0 178.06 -46.51 1.00 0 6.3 26.3 140.2 0 42 0 -179.77 -46.53 1.00 0 6.3 26.3 140.1 0 48 0 -177.60 -46.51 1.00 0 6.3 26.3 140.0 0 54 0 -175.43 -46.45 1.00 0 6.3 26.3 140.0 1 0 0 -173.27 -46.35 1.00 0 6.3 26.3 139.9 1 6 0 -171.12 -46.22 1.00 0 6.3 26.3 139.9 1 12 0 -168.98 -46.05 1.00 0 6.3 26.3 139.8 1 18 0 -166.85 -45.85 1.00 0 6.3 26.3 139.8 1 24 0 -164.74 -45.61 1.00 0 6.3 26.3 139.7 1 30 0 -162.65 -45.34 1.00 0 6.3 26.3 139.7 1 36 0 -160.58 -45.03 1.00 0 6.3 26.3 139.6 1 42 0 -158.53 -44.69 1.00 0 6.3 26.3 139.5 1 48 0 -156.50 -44.32 1.00 0 6.3 26.3 139.5 1 54 0 -154.50 -43.91 1.00 0 6.3 26.3 139.4 2 0 0 -152.52 -43.47 1.00 0 6.3 26.3 139.4 2 6 0 -150.58 -43.01 1.00 0 6.3 26.3 139.3 2 12 0 -148.66 -42.51 1.00 0 6.3 26.3 139.3 2 18 0 -146.77 -41.99 1.00 0 6.3 26.3 139.2 2 24 0 -144.91 -41.44 1.00 0 6.3 26.3 139.2 2 30 0 -143.08 -40.87 1.00 0 6.3 26.3 139.1 2 36 0 -141.28 -40.27 1.00 0 6.3 26.3 139.1 2 42 0 -139.51 -39.65 1.00 0 6.3 26.3 139.0 2 48 0 -137.77 -39.00 1.00 0 6.3 26.3 138.9 2 54 0 -136.06 -38.33 1.00 0 6.3 26.3 138.9 3 0 0 -134.38 -37.64 1.00 0 6.3 26.3 138.8 3 6 0 -132.73 -36.93 1.00 0 6.3 26.3 138.8 3 12 0 -131.11 -36.20 1.00 0 6.3 26.3 138.7 3 18 0 -129.51 -35.46 1.00 0 6.3 26.3 138.7 3 24 0 -127.95 -34.69 1.00 0 6.3 26.3 138.6 3 30 0 -126.41 -33.92 1.00 0 6.3 26.3 138.6 3 36 0 -124.89 -33.12 1.00 0 6.3 26.3 138.5 3 42 0 -123.40 -32.31 1.00 0 6.3 26.3 138.4 3 48 0 -121.93 -31.49 1.00 0 6.3 26.3 138.4 3 54 0 -120.49 -30.65 1.00 0 6.3 26.3 138.3 4 0 0 -119.07 -29.80 1.00 0 6.3 26.3 138.3 4 6 0 -117.67 -28.94 1.00 0 6.3 26.3 138.2 4 12 0 -116.29 -28.07 1.00 0 6.3 26.3 138.2 4 18 0 -114.93 -27.18 1.00 0 6.3 26.3 138.1 4 24 0 -113.59 -26.29 1.00 0 6.3 26.3 138.1 4 30 0 -112.27 -25.39 1.00 0 6.3 26.3 138.0 4 36 0 -110.97 -24.48 1.00 0 6.3 26.3 138.0 4 42 0 -109.68 -23.56 1.00 0 6.3 26.3 137.9 4 48 0 -108.41 -22.64 1.00 0 6.3 26.3 137.8 4 54 0 -107.15 -21.70 1.00 0 6.3 26.3 137.8 5 0 0 -105.90 -20.76 1.00 0 6.3 26.3 137.7 5 6 0 -104.67 -19.82 1.00 0 6.3 26.3 137.7 5 12 0 -103.45 -18.87 1.00 0 6.3 26.3 137.6 5 18 0 -102.24 -17.92 1.00 0 6.3 26.3 137.6 5 24 0 -101.04 -16.96 1.00 0 6.3 26.3 137.5 5 30 0 -99.85 -15.99 1.00 0 6.3 26.3 137.5 5 36 0 -98.67 -15.03 1.00 0 6.3 26.3 137.4 5 42 0 -97.50 -14.06 1.00 0 6.3 26.3 137.3 5 48 0 -96.33 -13.09 1.00 0 6.3 26.3 137.3 5 54 0 -95.17 -12.11 1.00 0 6.3 26.3 137.2 6 0 0 -94.02 -11.14 1.00 0 6.3 26.3 137.2 6 6 0 -92.87 -10.16 1.00 0 6.3 26.3 137.1 6 12 0 -91.73 -9.18 1.00 0 6.3 26.3 137.1 6 18 0 -90.59 -8.20 1.00 0 6.3 26.3 137.0 6 24 0 -89.45 -7.22 1.00 0 6.3 26.3 137.0 6 30 0 -88.32 -6.24 1.00 0 6.3 26.3 136.9 6 36 0 -87.19 -5.27 1.00 0 6.3 26.3 136.9 6 42 0 -86.05 -4.29 1.00 0 6.3 26.3 136.8 6 48 0 -84.92 -3.31 1.00 0 6.3 26.3 136.7 6 54 0 -83.79 -2.34 1.00 0 6.3 26.3 136.7 7 0 0 -82.66 -1.37 1.00 0 6.3 26.3 136.6 7 6 0 -81.52 -0.40 1.00 0 6.3 26.3 136.6 7 12 0 -80.39 0.57 1.00 1.9E+1 6.3 26.3 136.5 7 18 0 -79.25 1.53 1.00 1.7E+2 6.3 26.3 136.5 7 24 0 -78.10 2.49 1.00 5.6E+2 6.3 26.3 136.4 7 30 0 -76.95 3.45 1.00 1.2E+3 6.3 26.3 136.4 7 36 0 -75.80 4.40 1.00 2.1E+3 6.3 26.3 136.3 7 42 0 -74.64 5.35 1.00 3.2E+3 6.3 26.3 136.2 7 48 0 -73.48 6.29 1.00 4.5E+3 6.3 26.3 136.2 7 54 0 -72.31 7.23 1.00 5.9E+3 6.3 26.3 136.1 8 0 0 -71.13 8.16 1.00 7.4E+3 6.3 26.3 136.1 8 6 0 -69.94 9.08 1.00 9.0E+3 6.3 26.3 136.0 8 12 0 -68.75 9.99 1.00 1.1E+4 6.3 26.3 136.0 8 18 0 -67.55 10.90 1.00 1.2E+4 6.3 26.3 135.9 8 24 0 -66.33 11.80 1.00 1.4E+4 6.3 26.3 135.9 8 30 0 -65.11 12.70 1.00 1.6E+4 6.3 26.3 135.8 8 36 0 -63.87 13.58 1.00 1.7E+4 6.3 26.3 135.8 8 42 0 -62.63 14.45 1.00 1.9E+4 6.3 26.3 135.7 8 48 0 -61.37 15.32 1.00 2.1E+4 6.3 26.3 135.6 8 54 0 -60.09 16.17 1.00 2.3E+4 6.3 26.3 135.6 9 0 0 -58.81 17.01 1.00 2.4E+4 6.3 26.3 135.5 9 6 0 -57.51 17.85 1.00 2.6E+4 6.3 26.3 135.5 9 12 0 -56.20 18.67 1.00 2.8E+4 6.3 26.3 135.4 9 18 0 -54.87 19.47 1.00 2.9E+4 6.3 26.3 135.4 9 24 0 -53.52 20.27 1.00 3.1E+4 6.3 26.3 135.3 9 30 0 -52.16 21.05 1.00 3.3E+4 6.3 26.3 135.3 9 36 0 -50.79 21.81 1.00 3.4E+4 6.3 26.3 135.2 9 42 0 -49.40 22.56 1.00 3.6E+4 6.3 26.3 135.1 9 48 0 -47.98 23.30 1.00 3.7E+4 6.3 26.3 135.1 9 54 0 -46.56 24.02 1.00 3.9E+4 6.3 26.3 135.0 10 0 0 -45.11 24.72 1.00 4.0E+4 6.3 26.3 135.0 10 6 0 -43.65 25.40 1.00 4.2E+4 6.3 26.3 134.9 10 12 0 -42.16 26.07 1.00 4.3E+4 6.3 26.3 134.9 10 18 0 -40.66 26.72 1.00 4.4E+4 6.3 26.3 134.8 10 24 0 -39.14 27.34 1.00 4.5E+4 6.3 26.3 134.8 10 30 0 -37.60 27.95 1.00 4.7E+4 6.3 26.3 134.7 10 36 0 -36.05 28.54 1.00 4.8E+4 6.3 26.3 134.7 10 42 0 -34.47 29.10 1.00 4.9E+4 6.3 26.3 134.6 10 48 0 -32.87 29.64 1.00 5.0E+4 6.3 26.3 134.5 10 54 0 -31.26 30.16 1.00 5.1E+4 6.3 26.3 134.5 11 0 0 -29.63 30.66 1.00 5.2E+4 6.3 26.3 134.4 11 6 0 -27.98 31.13 1.00 5.3E+4 6.3 26.3 134.4 11 12 0 -26.31 31.57 1.00 5.4E+4 6.3 26.3 134.3 11 18 0 -24.62 31.99 1.00 5.5E+4 6.3 26.3 134.3 11 24 0 -22.92 32.39 1.00 5.5E+4 6.3 26.3 134.2 11 30 0 -21.21 32.75 1.00 5.6E+4 6.3 26.3 134.2 11 36 0 -19.47 33.09 1.00 5.7E+4 6.3 26.3 134.1 11 42 0 -17.73 33.40 1.00 5.7E+4 6.3 26.3 134.0 11 48 0 -15.97 33.69 1.00 5.8E+4 6.3 26.3 134.0 11 54 0 -14.20 33.94 1.00 5.8E+4 6.3 26.3 133.9 12 0 0 -12.42 34.16 1.00 5.9E+4 6.3 26.3 133.9 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7: 2 18:21 0.0 -5.54 12.1 12.70 -7.6 2.66 -6.0 6:30 18:53 31.9 -5.54 12.1 11.63 -1.5 0.50 -12.0 5:54 19:29 68.7 -5.54 12.1 10.40 5.5 -2.05 -18.0 5:16 20: 7 105.9 -5.54 12.1 9.16 12.8 -3.15 from 4 values is 6:11 19:12 51.7 -5.54 12.1 10.97 2.3 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7: 4 18:19 0.0 -5.92 12.4 12.75 -8.1 2.66 -6.0 6:32 18:51 32.0 -5.92 12.4 11.69 -2.1 0.50 -12.0 5:55 19:27 68.7 -5.92 12.4 10.46 4.9 -2.05 -18.0 5:18 20: 4 105.9 -5.92 12.4 9.22 12.1 -3.15 from 4 values is 6:12 19:10 51.7 -5.92 12.4 11.03 1.7 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 166.31 -31.79 56.657 -176 -12.75 -1.9 -21.1 1.6 92.0 12 12 0 167.96 -31.97 56.661 -176 -12.75 -1.9 -21.1 1.6 92.0 12 18 0 169.63 -32.13 56.664 -176 -12.75 -1.9 -21.1 1.7 92.1 12 24 0 171.29 -32.25 56.667 -176 -12.75 -1.9 -21.1 1.7 92.1 12 30 0 172.96 -32.35 56.670 -176 -12.74 -1.9 -21.1 1.7 92.2 12 36 0 174.64 -32.42 56.672 -176 -12.74 -1.9 -21.1 1.7 92.2 12 42 0 176.32 -32.47 56.674 -176 -12.74 -1.9 -21.1 1.8 92.3 12 48 0 177.99 -32.49 56.675 -176 -12.74 -1.9 -21.0 1.8 92.3 12 54 0 179.67 -32.48 56.676 -176 -12.74 -1.9 -21.0 1.8 92.4 13 0 0 -178.65 -32.44 56.677 -176 -12.73 -1.9 -21.0 1.8 92.4 13 6 0 -176.98 -32.38 56.677 -176 -12.73 -1.9 -21.0 1.9 92.5 13 12 0 -175.31 -32.28 56.677 -176 -12.73 -1.9 -21.0 1.9 92.5 13 18 0 -173.64 -32.17 56.676 -176 -12.73 -1.9 -21.0 1.9 92.6 13 24 0 -171.98 -32.02 56.675 -175 -12.73 -1.9 -21.0 1.9 92.6 13 30 0 -170.32 -31.85 56.673 -175 -12.73 -1.9 -21.0 2.0 92.7 13 36 0 -168.68 -31.65 56.671 -175 -12.72 -1.9 -21.0 2.0 92.7 13 42 0 -167.04 -31.42 56.669 -175 -12.72 -1.9 -21.0 2.0 92.8 13 48 0 -165.41 -31.17 56.666 -175 -12.72 -1.9 -21.0 2.0 92.8 13 54 0 -163.79 -30.89 56.663 -175 -12.72 -1.9 -21.0 2.0 92.9 14 0 0 -162.18 -30.59 56.660 -175 -12.72 -1.9 -20.9 2.1 92.9 14 6 0 -160.58 -30.27 56.656 -175 -12.71 -1.9 -20.9 2.1 93.0 14 12 0 -159.00 -29.91 56.652 -175 -12.71 -1.9 -20.9 2.1 93.0 14 18 0 -157.43 -29.54 56.647 -175 -12.71 -1.9 -20.9 2.1 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b PA long. PhA