Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 -10.25 33.33 1.00 5.7E+4 6.1 26.3 113.3 12 12 0 -8.47 33.49 1.00 5.7E+4 6.1 26.3 113.3 12 18 0 -6.69 33.62 1.00 5.8E+4 6.1 26.3 113.2 12 24 0 -4.91 33.72 1.00 5.8E+4 6.1 26.3 113.2 12 30 0 -3.12 33.78 1.00 5.8E+4 6.1 26.3 113.1 12 36 0 -1.33 33.82 1.00 5.8E+4 6.1 26.3 113.1 12 42 0 0.46 33.83 1.00 5.8E+4 6.1 26.3 113.0 12 48 0 2.26 33.80 1.00 5.8E+4 6.1 26.3 112.9 12 54 0 4.05 33.75 1.00 5.8E+4 6.1 26.3 112.9 13 0 0 5.83 33.66 1.00 5.8E+4 6.1 26.3 112.8 13 6 0 7.62 33.54 1.00 5.8E+4 6.1 26.3 112.8 13 12 0 9.39 33.40 1.00 5.7E+4 6.1 26.3 112.7 13 18 0 11.16 33.22 1.00 5.7E+4 6.1 26.3 112.7 13 24 0 12.92 33.01 1.00 5.7E+4 6.1 26.3 112.6 13 30 0 14.67 32.78 1.00 5.6E+4 6.1 26.3 112.6 13 36 0 16.41 32.51 1.00 5.6E+4 6.1 26.3 112.5 13 42 0 18.14 32.22 1.00 5.5E+4 6.1 26.3 112.4 13 48 0 19.86 31.90 1.00 5.4E+4 6.1 26.3 112.4 13 54 0 21.56 31.55 1.00 5.4E+4 6.1 26.3 112.3 14 0 0 23.25 31.18 1.00 5.3E+4 6.1 26.3 112.3 14 6 0 24.92 30.78 1.00 5.2E+4 6.1 26.3 112.2 14 12 0 26.58 30.35 1.00 5.1E+4 6.1 26.3 112.2 14 18 0 28.22 29.90 1.00 5.1E+4 6.1 26.3 112.1 14 24 0 29.84 29.42 1.00 5.0E+4 6.1 26.3 112.1 14 30 0 31.45 28.92 1.00 4.9E+4 6.1 26.3 112.0 14 36 0 33.04 28.39 1.00 4.8E+4 6.1 26.3 112.0 14 42 0 34.61 27.85 1.00 4.6E+4 6.1 26.3 111.9 14 48 0 36.16 27.28 1.00 4.5E+4 6.1 26.3 111.8 14 54 0 37.69 26.69 1.00 4.4E+4 6.1 26.3 111.8 15 0 0 39.21 26.08 1.00 4.3E+4 6.1 26.3 111.7 15 6 0 40.71 25.44 1.00 4.2E+4 6.1 26.3 111.7 15 12 0 42.19 24.79 1.00 4.0E+4 6.1 26.3 111.6 15 18 0 43.65 24.13 1.00 3.9E+4 6.1 26.3 111.6 15 24 0 45.09 23.44 1.00 3.8E+4 6.1 26.3 111.5 15 30 0 46.52 22.73 1.00 3.6E+4 6.1 26.3 111.5 15 36 0 47.93 22.01 1.00 3.5E+4 6.1 26.3 111.4 15 42 0 49.32 21.28 1.00 3.3E+4 6.1 26.3 111.3 15 48 0 50.69 20.52 1.00 3.2E+4 6.1 26.3 111.3 15 54 0 52.05 19.76 1.00 3.0E+4 6.1 26.3 111.2 16 0 0 53.40 18.98 1.00 2.8E+4 6.1 26.3 111.2 16 6 0 54.72 18.18 1.00 2.7E+4 6.1 26.3 111.1 16 12 0 56.04 17.37 1.00 2.5E+4 6.1 26.3 111.1 16 18 0 57.34 16.55 1.00 2.4E+4 6.1 26.3 111.0 16 24 0 58.62 15.72 1.00 2.2E+4 6.1 26.3 111.0 16 30 0 59.89 14.88 1.00 2.0E+4 6.1 26.3 110.9 16 36 0 61.15 14.02 1.00 1.8E+4 6.1 26.3 110.9 16 42 0 62.40 13.16 1.00 1.7E+4 6.1 26.3 110.8 16 48 0 63.63 12.28 1.00 1.5E+4 6.1 26.3 110.7 16 54 0 64.86 11.40 1.00 1.3E+4 6.1 26.3 110.7 17 0 0 66.07 10.50 1.00 1.2E+4 6.1 26.3 110.6 17 6 0 67.28 9.60 1.00 9.9E+3 6.1 26.3 110.6 17 12 0 68.47 8.69 1.00 8.3E+3 6.1 26.3 110.5 17 18 0 69.66 7.78 1.00 6.8E+3 6.1 26.3 110.5 17 24 0 70.83 6.85 1.00 5.3E+3 6.1 26.3 110.4 17 30 0 72.00 5.92 1.00 4.0E+3 6.1 26.3 110.4 17 36 0 73.17 4.99 1.00 2.8E+3 6.1 26.3 110.3 17 42 0 74.32 4.04 1.00 1.7E+3 6.1 26.3 110.2 17 48 0 75.47 3.10 1.00 9.4E+2 6.1 26.3 110.2 17 54 0 76.62 2.14 1.00 3.9E+2 6.1 26.3 110.1 18 0 0 77.76 1.19 1.00 9.2E+1 6.1 26.3 110.1 18 6 0 78.90 0.22 1.00 3.7E+0 6.1 26.3 110.0 18 12 0 80.03 -0.74 1.00 0 6.1 26.3 110.0 18 18 0 81.16 -1.71 1.00 0 6.1 26.3 109.9 18 24 0 82.29 -2.68 1.00 0 6.1 26.3 109.9 18 30 0 83.42 -3.65 1.00 0 6.1 26.3 109.8 18 36 0 84.55 -4.63 1.00 0 6.1 26.3 109.8 18 42 0 85.67 -5.61 1.00 0 6.1 26.3 109.7 18 48 0 86.80 -6.59 1.00 0 6.1 26.3 109.6 18 54 0 87.93 -7.57 1.00 0 6.1 26.3 109.6 19 0 0 89.06 -8.55 1.00 0 6.1 26.3 109.5 19 6 0 90.19 -9.53 1.00 0 6.1 26.3 109.5 19 12 0 91.33 -10.51 1.00 0 6.1 26.3 109.4 19 18 0 92.47 -11.49 1.00 0 6.1 26.3 109.4 19 24 0 93.62 -12.47 1.00 0 6.1 26.3 109.3 19 30 0 94.77 -13.45 1.00 0 6.1 26.3 109.3 19 36 0 95.93 -14.43 1.00 0 6.1 26.3 109.2 19 42 0 97.09 -15.40 1.00 0 6.1 26.3 109.1 19 48 0 98.26 -16.38 1.00 0 6.1 26.3 109.1 19 54 0 99.44 -17.35 1.00 0 6.1 26.3 109.0 20 0 0 100.63 -18.31 1.00 0 6.1 26.3 109.0 20 6 0 101.83 -19.28 1.00 0 6.1 26.3 108.9 20 12 0 103.04 -20.23 1.00 0 6.1 26.3 108.9 20 18 0 104.26 -21.19 1.00 0 6.1 26.3 108.8 20 24 0 105.50 -22.14 1.00 0 6.1 26.3 108.8 20 30 0 106.75 -23.08 1.00 0 6.1 26.3 108.7 20 36 0 108.01 -24.02 1.00 0 6.1 26.3 108.7 20 42 0 109.29 -24.95 1.00 0 6.1 26.3 108.6 20 48 0 110.58 -25.87 1.00 0 6.1 26.3 108.5 20 54 0 111.89 -26.78 1.00 0 6.1 26.3 108.5 21 0 0 113.22 -27.69 1.00 0 6.1 26.3 108.4 21 6 0 114.57 -28.59 1.00 0 6.1 26.3 108.4 21 12 0 115.93 -29.48 1.00 0 6.1 26.3 108.3 21 18 0 117.32 -30.35 1.00 0 6.1 26.3 108.3 21 24 0 118.73 -31.22 1.00 0 6.1 26.3 108.2 21 30 0 120.16 -32.08 1.00 0 6.1 26.3 108.2 21 36 0 121.62 -32.92 1.00 0 6.1 26.3 108.1 21 42 0 123.10 -33.75 1.00 0 6.1 26.3 108.0 21 48 0 124.60 -34.56 1.00 0 6.1 26.3 108.0 21 54 0 126.13 -35.36 1.00 0 6.1 26.3 107.9 22 0 0 127.69 -36.15 1.00 0 6.1 26.3 107.9 22 6 0 129.28 -36.92 1.00 0 6.1 26.3 107.8 22 12 0 130.89 -37.67 1.00 0 6.1 26.3 107.8 22 18 0 132.54 -38.40 1.00 0 6.1 26.3 107.7 22 24 0 134.21 -39.12 1.00 0 6.1 26.3 107.7 22 30 0 135.92 -39.81 1.00 0 6.1 26.3 107.6 22 36 0 137.66 -40.48 1.00 0 6.1 26.3 107.6 22 42 0 139.43 -41.13 1.00 0 6.1 26.3 107.5 22 48 0 141.23 -41.76 1.00 0 6.1 26.3 107.4 22 54 0 143.06 -42.36 1.00 0 6.1 26.3 107.4 23 0 0 144.93 -42.94 1.00 0 6.1 26.3 107.3 23 6 0 146.82 -43.49 1.00 0 6.1 26.3 107.3 23 12 0 148.75 -44.02 1.00 0 6.1 26.3 107.2 23 18 0 150.71 -44.51 1.00 0 6.1 26.3 107.2 23 24 0 152.70 -44.98 1.00 0 6.1 26.3 107.1 23 30 0 154.72 -45.41 1.00 0 6.1 26.3 107.1 23 36 0 156.77 -45.82 1.00 0 6.1 26.3 107.0 23 42 0 158.85 -46.19 1.00 0 6.1 26.3 106.9 23 48 0 160.95 -46.53 1.00 0 6.1 26.3 106.9 23 54 0 163.07 -46.83 1.00 0 6.1 26.3 106.8 0 0 0 165.22 -47.10 1.00 0 6.1 26.3 106.8 0 6 0 167.38 -47.34 1.00 0 6.1 26.3 106.7 0 12 0 169.56 -47.53 1.00 0 6.1 26.3 106.7 0 18 0 171.76 -47.69 1.00 0 6.1 26.3 106.6 0 24 0 173.97 -47.82 1.00 0 6.1 26.3 106.6 0 30 0 176.18 -47.90 1.00 0 6.1 26.3 106.5 0 36 0 178.40 -47.95 1.00 0 6.1 26.3 106.5 0 42 0 -179.38 -47.96 1.00 0 6.1 26.3 106.4 0 48 0 -177.15 -47.93 1.00 0 6.1 26.3 106.3 0 54 0 -174.94 -47.87 1.00 0 6.1 26.3 106.3 1 0 0 -172.73 -47.76 1.00 0 6.1 26.3 106.2 1 6 0 -170.52 -47.62 1.00 0 6.1 26.3 106.2 1 12 0 -168.33 -47.44 1.00 0 6.1 26.3 106.1 1 18 0 -166.16 -47.23 1.00 0 6.1 26.3 106.1 1 24 0 -164.01 -46.98 1.00 0 6.1 26.3 106.0 1 30 0 -161.87 -46.69 1.00 0 6.1 26.3 106.0 1 36 0 -159.76 -46.37 1.00 0 6.1 26.3 105.9 1 42 0 -157.67 -46.02 1.00 0 6.1 26.3 105.9 1 48 0 -155.61 -45.63 1.00 0 6.1 26.3 105.8 1 54 0 -153.57 -45.21 1.00 0 6.1 26.3 105.7 2 0 0 -151.57 -44.76 1.00 0 6.1 26.3 105.7 2 6 0 -149.59 -44.28 1.00 0 6.1 26.3 105.6 2 12 0 -147.64 -43.77 1.00 0 6.1 26.3 105.6 2 18 0 -145.73 -43.23 1.00 0 6.1 26.3 105.5 2 24 0 -143.85 -42.67 1.00 0 6.1 26.3 105.5 2 30 0 -142.00 -42.08 1.00 0 6.1 26.3 105.4 2 36 0 -140.18 -41.47 1.00 0 6.1 26.3 105.4 2 42 0 -138.39 -40.83 1.00 0 6.1 26.3 105.3 2 48 0 -136.64 -40.17 1.00 0 6.1 26.3 105.2 2 54 0 -134.92 -39.48 1.00 0 6.1 26.3 105.2 3 0 0 -133.23 -38.78 1.00 0 6.1 26.3 105.1 3 6 0 -131.56 -38.06 1.00 0 6.1 26.3 105.1 3 12 0 -129.93 -37.32 1.00 0 6.1 26.3 105.0 3 18 0 -128.33 -36.56 1.00 0 6.1 26.3 105.0 3 24 0 -126.76 -35.78 1.00 0 6.1 26.3 104.9 3 30 0 -125.21 -34.99 1.00 0 6.1 26.3 104.9 3 36 0 -123.69 -34.18 1.00 0 6.1 26.3 104.8 3 42 0 -122.20 -33.36 1.00 0 6.1 26.3 104.8 3 48 0 -120.73 -32.53 1.00 0 6.1 26.3 104.7 3 54 0 -119.29 -31.68 1.00 0 6.1 26.3 104.6 4 0 0 -117.87 -30.82 1.00 0 6.1 26.3 104.6 4 6 0 -116.47 -29.95 1.00 0 6.1 26.3 104.5 4 12 0 -115.09 -29.07 1.00 0 6.1 26.3 104.5 4 18 0 -113.73 -28.18 1.00 0 6.1 26.3 104.4 4 24 0 -112.39 -27.28 1.00 0 6.1 26.3 104.4 4 30 0 -111.07 -26.37 1.00 0 6.1 26.3 104.3 4 36 0 -109.77 -25.45 1.00 0 6.1 26.3 104.3 4 42 0 -108.48 -24.52 1.00 0 6.1 26.3 104.2 4 48 0 -107.21 -23.59 1.00 0 6.1 26.3 104.1 4 54 0 -105.96 -22.65 1.00 0 6.1 26.3 104.1 5 0 0 -104.71 -21.71 1.00 0 6.1 26.3 104.0 5 6 0 -103.48 -20.76 1.00 0 6.1 26.3 104.0 5 12 0 -102.27 -19.81 1.00 0 6.1 26.3 103.9 5 18 0 -101.06 -18.85 1.00 0 6.1 26.3 103.9 5 24 0 -99.86 -17.88 1.00 0 6.1 26.3 103.8 5 30 0 -98.68 -16.92 1.00 0 6.1 26.3 103.8 5 36 0 -97.50 -15.95 1.00 0 6.1 26.3 103.7 5 42 0 -96.33 -14.98 1.00 0 6.1 26.3 103.7 5 48 0 -95.17 -14.00 1.00 0 6.1 26.3 103.6 5 54 0 -94.01 -13.03 1.00 0 6.1 26.3 103.5 6 0 0 -92.86 -12.05 1.00 0 6.1 26.3 103.5 6 6 0 -91.72 -11.07 1.00 0 6.1 26.3 103.4 6 12 0 -90.58 -10.09 1.00 0 6.1 26.3 103.4 6 18 0 -89.44 -9.11 1.00 0 6.1 26.3 103.3 6 24 0 -88.31 -8.13 1.00 0 6.1 26.3 103.3 6 30 0 -87.18 -7.16 1.00 0 6.1 26.3 103.2 6 36 0 -86.05 -6.18 1.00 0 6.1 26.3 103.2 6 42 0 -84.92 -5.20 1.00 0 6.1 26.3 103.1 6 48 0 -83.79 -4.23 1.00 0 6.1 26.3 103.0 6 54 0 -82.66 -3.26 1.00 0 6.1 26.3 103.0 7 0 0 -81.53 -2.29 1.00 0 6.1 26.3 102.9 7 6 0 -80.40 -1.32 1.00 0 6.1 26.3 102.9 7 12 0 -79.26 -0.36 1.00 0 6.1 26.3 102.8 7 18 0 -78.12 0.60 1.00 2.1E+1 6.1 26.3 102.8 7 24 0 -76.98 1.56 1.00 1.8E+2 6.1 26.3 102.7 7 30 0 -75.84 2.51 1.00 5.7E+2 6.1 26.3 102.7 7 36 0 -74.69 3.46 1.00 1.2E+3 6.1 26.3 102.6 7 42 0 -73.53 4.40 1.00 2.1E+3 6.1 26.3 102.6 7 48 0 -72.37 5.34 1.00 3.2E+3 6.1 26.3 102.5 7 54 0 -71.21 6.27 1.00 4.5E+3 6.1 26.3 102.4 8 0 0 -70.03 7.19 1.00 5.9E+3 6.1 26.3 102.4 8 6 0 -68.85 8.11 1.00 7.3E+3 6.1 26.3 102.3 8 12 0 -67.66 9.02 1.00 8.9E+3 6.1 26.3 102.3 8 18 0 -66.46 9.92 1.00 1.1E+4 6.1 26.3 102.2 8 24 0 -65.25 10.81 1.00 1.2E+4 6.1 26.3 102.2 8 30 0 -64.03 11.70 1.00 1.4E+4 6.1 26.3 102.1 8 36 0 -62.79 12.57 1.00 1.6E+4 6.1 26.3 102.1 8 42 0 -61.55 13.44 1.00 1.7E+4 6.1 26.3 102.0 8 48 0 -60.30 14.29 1.00 1.9E+4 6.1 26.3 101.9 8 54 0 -59.03 15.14 1.00 2.1E+4 6.1 26.3 101.9 9 0 0 -57.75 15.97 1.00 2.2E+4 6.1 26.3 101.8 9 6 0 -56.46 16.79 1.00 2.4E+4 6.1 26.3 101.8 9 12 0 -55.15 17.60 1.00 2.6E+4 6.1 26.3 101.7 9 18 0 -53.83 18.40 1.00 2.7E+4 6.1 26.3 101.7 9 24 0 -52.49 19.18 1.00 2.9E+4 6.1 26.3 101.6 9 30 0 -51.14 19.95 1.00 3.0E+4 6.1 26.3 101.6 9 36 0 -49.77 20.71 1.00 3.2E+4 6.1 26.3 101.5 9 42 0 -48.39 21.44 1.00 3.4E+4 6.1 26.3 101.5 9 48 0 -46.99 22.17 1.00 3.5E+4 6.1 26.3 101.4 9 54 0 -45.57 22.88 1.00 3.6E+4 6.1 26.3 101.3 10 0 0 -44.14 23.57 1.00 3.8E+4 6.1 26.3 101.3 10 6 0 -42.68 24.24 1.00 3.9E+4 6.1 26.3 101.2 10 12 0 -41.21 24.89 1.00 4.1E+4 6.1 26.3 101.2 10 18 0 -39.73 25.53 1.00 4.2E+4 6.1 26.3 101.1 10 24 0 -38.22 26.14 1.00 4.3E+4 6.1 26.3 101.1 10 30 0 -36.70 26.74 1.00 4.4E+4 6.1 26.3 101.0 10 36 0 -35.16 27.31 1.00 4.5E+4 6.1 26.3 101.0 10 42 0 -33.60 27.86 1.00 4.7E+4 6.1 26.3 100.9 10 48 0 -32.02 28.39 1.00 4.8E+4 6.1 26.3 100.8 10 54 0 -30.43 28.90 1.00 4.9E+4 6.1 26.3 100.8 11 0 0 -28.82 29.38 1.00 5.0E+4 6.1 26.3 100.7 11 6 0 -27.19 29.84 1.00 5.0E+4 6.1 26.3 100.7 11 12 0 -25.54 30.27 1.00 5.1E+4 6.1 26.3 100.6 11 18 0 -23.88 30.68 1.00 5.2E+4 6.1 26.3 100.6 11 24 0 -22.21 31.06 1.00 5.3E+4 6.1 26.3 100.5 11 30 0 -20.52 31.42 1.00 5.4E+4 6.1 26.3 100.5 11 36 0 -18.81 31.75 1.00 5.4E+4 6.1 26.3 100.4 11 42 0 -17.10 32.05 1.00 5.5E+4 6.1 26.3 100.4 11 48 0 -15.37 32.32 1.00 5.5E+4 6.1 26.3 100.3 11 54 0 -13.63 32.57 1.00 5.6E+4 6.1 26.3 100.2 12 0 0 -11.88 32.78 1.00 5.6E+4 6.1 26.3 100.2 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7: 8 18:13 0.0 -6.98 13.1 12.92 -9.8 2.66 -6.0 6:36 18:45 32.1 -6.98 13.1 11.85 -3.7 0.50 -12.0 5:59 19:22 68.8 -6.98 13.1 10.63 3.2 -2.05 -18.0 5:22 19:59 105.8 -6.98 13.1 9.39 10.4 -3.15 from 4 values is 6:16 19: 5 51.7 -6.98 13.1 11.20 0.0 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7:10 18:11 0.0 -7.35 13.4 12.98 -10.4 2.66 -6.0 6:38 18:43 32.1 -7.35 13.4 11.91 -4.3 0.50 -12.0 6: 1 19:20 68.9 -7.35 13.4 10.68 2.6 -2.05 -18.0 5:24 19:57 105.8 -7.35 13.4 9.45 9.8 -3.15 from 4 values is 6:18 19: 2 51.7 -7.35 13.4 11.26 -0.6 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 179.93 -33.16 64.201 172 -12.36 -5.3 -23.9 1.5 80.9 12 12 0 -178.36 -33.13 64.201 172 -12.36 -5.3 -23.9 1.5 81.0 12 18 0 -176.65 -33.07 64.201 173 -12.36 -5.3 -23.9 1.6 81.0 12 24 0 -174.95 -32.98 64.200 173 -12.36 -5.3 -23.9 1.6 81.1 12 30 0 -173.25 -32.87 64.199 173 -12.37 -5.3 -23.9 1.6 81.1 12 36 0 -171.56 -32.73 64.197 173 -12.37 -5.3 -23.9 1.6 81.2 12 42 0 -169.87 -32.56 64.195 173 -12.37 -5.3 -23.9 1.6 81.2 12 48 0 -168.20 -32.36 64.193 173 -12.37 -5.3 -23.9 1.6 81.3 12 54 0 -166.53 -32.14 64.190 173 -12.37 -5.3 -23.8 1.6 81.3 13 0 0 -164.87 -31.89 64.186 173 -12.37 -5.3 -23.8 1.6 81.4 13 6 0 -163.22 -31.61 64.183 173 -12.37 -5.3 -23.8 1.6 81.4 13 12 0 -161.58 -31.31 64.179 173 -12.38 -5.3 -23.8 1.6 81.5 13 18 0 -159.95 -30.98 64.174 173 -12.38 -5.2 -23.8 1.6 81.5 13 24 0 -158.34 -30.62 64.169 173 -12.38 -5.2 -23.8 1.6 81.6 13 30 0 -156.74 -30.25 64.164 173 -12.38 -5.2 -23.8 1.7 81.6 13 36 0 -155.16 -29.84 64.158 173 -12.38 -5.2 -23.8 1.7 81.7 13 42 0 -153.59 -29.42 64.152 173 -12.38 -5.2 -23.8 1.7 81.7 13 48 0 -152.03 -28.97 64.145 173 -12.39 -5.2 -23.8 1.7 81.8 13 54 0 -150.49 -28.50 64.138 173 -12.39 -5.2 -23.8 1.7 81.8 14 0 0 -148.97 -28.00 64.131 174 -12.39 -5.2 -23.8 1.7 81.9 14 6 0 -147.46 -27.49 64.123 174 -12.39 -5.2 -23.8 1.7 81.9 14 12 0 -145.97 -26.95 64.115 174 -12.39 -5.2 -23.8 1.7 82.0 14 18 0 -144.49 -26.40 64.107 174 -12.39 -5.2 -23.8 1.7 82.0 14 24 0 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PhA