Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 5.60 18.61 0.99 2.8E+4 0.7 15.5 62.3 12 12 0 7.07 18.50 0.99 2.8E+4 0.7 15.5 62.2 12 18 0 8.52 18.37 0.99 2.8E+4 0.7 15.5 62.1 12 24 0 9.98 18.21 0.99 2.8E+4 0.7 15.5 62.1 12 30 0 11.43 18.03 0.99 2.7E+4 0.7 15.5 62.0 12 36 0 12.87 17.82 0.99 2.7E+4 0.7 15.5 62.0 12 42 0 14.31 17.59 0.99 2.6E+4 0.7 15.5 61.9 12 48 0 15.75 17.33 0.99 2.6E+4 0.7 15.5 61.9 12 54 0 17.17 17.06 0.99 2.5E+4 0.7 15.5 61.8 13 0 0 18.59 16.75 0.99 2.5E+4 0.7 15.5 61.8 13 6 0 20.00 16.43 0.99 2.4E+4 0.7 15.5 61.7 13 12 0 21.40 16.08 0.99 2.3E+4 0.7 15.5 61.6 13 18 0 22.80 15.71 0.99 2.2E+4 0.7 15.5 61.6 13 24 0 24.18 15.32 0.99 2.2E+4 0.7 15.5 61.5 13 30 0 25.56 14.91 0.99 2.1E+4 0.7 15.5 61.5 13 36 0 26.92 14.48 0.99 2.0E+4 0.7 15.5 61.4 13 42 0 28.28 14.02 0.99 1.9E+4 0.7 15.5 61.4 13 48 0 29.62 13.55 0.99 1.8E+4 0.7 15.5 61.3 13 54 0 30.96 13.05 0.99 1.7E+4 0.7 15.5 61.3 14 0 0 32.28 12.54 0.99 1.6E+4 0.7 15.5 61.2 14 6 0 33.60 12.00 0.99 1.5E+4 0.7 15.5 61.2 14 12 0 34.90 11.45 0.99 1.4E+4 0.7 15.5 61.1 14 18 0 36.19 10.88 0.99 1.3E+4 0.7 15.5 61.0 14 24 0 37.47 10.29 0.99 1.1E+4 0.7 15.5 61.0 14 30 0 38.74 9.69 0.99 1.0E+4 0.7 15.4 60.9 14 36 0 40.00 9.07 0.99 9.2E+3 0.7 15.4 60.9 14 42 0 41.25 8.43 0.99 8.1E+3 0.7 15.4 60.8 14 48 0 42.49 7.77 0.99 7.0E+3 0.7 15.4 60.8 14 54 0 43.72 7.10 0.99 5.9E+3 0.7 15.4 60.7 15 0 0 44.94 6.42 0.99 4.8E+3 0.7 15.4 60.7 15 6 0 46.15 5.72 0.99 3.8E+3 0.7 15.4 60.6 15 12 0 47.34 5.00 0.99 2.9E+3 0.7 15.4 60.5 15 18 0 48.53 4.28 0.99 2.0E+3 0.7 15.4 60.5 15 24 0 49.71 3.53 0.99 1.3E+3 0.7 15.4 60.4 15 30 0 50.88 2.78 0.99 7.5E+2 0.7 15.4 60.4 15 36 0 52.04 2.01 0.99 3.4E+2 0.7 15.4 60.3 15 42 0 53.19 1.23 0.99 1.0E+2 0.7 15.4 60.3 15 48 0 54.34 0.44 0.99 1.2E+1 0.7 15.4 60.2 15 54 0 55.47 -0.36 0.99 0 0.7 15.4 60.2 16 0 0 56.60 -1.17 0.99 0 0.7 15.4 60.1 16 6 0 57.72 -2.00 0.99 0 0.7 15.4 60.1 16 12 0 58.83 -2.83 0.99 0 0.7 15.4 60.0 16 18 0 59.94 -3.67 0.99 0 0.6 15.4 59.9 16 24 0 61.04 -4.53 0.99 0 0.6 15.4 59.9 16 30 0 62.13 -5.39 0.99 0 0.6 15.4 59.8 16 36 0 63.22 -6.26 0.99 0 0.6 15.4 59.8 16 42 0 64.31 -7.14 0.99 0 0.6 15.4 59.7 16 48 0 65.39 -8.03 0.99 0 0.6 15.4 59.7 16 54 0 66.46 -8.92 0.99 0 0.6 15.4 59.6 17 0 0 67.53 -9.82 0.99 0 0.6 15.4 59.6 17 6 0 68.60 -10.73 0.99 0 0.6 15.4 59.5 17 12 0 69.67 -11.65 0.99 0 0.6 15.4 59.4 17 18 0 70.73 -12.57 0.99 0 0.6 15.4 59.4 17 24 0 71.79 -13.50 0.99 0 0.6 15.4 59.3 17 30 0 72.85 -14.43 0.99 0 0.6 15.4 59.3 17 36 0 73.91 -15.37 0.99 0 0.6 15.4 59.2 17 42 0 74.97 -16.32 0.99 0 0.6 15.4 59.2 17 48 0 76.03 -17.27 0.99 0 0.6 15.4 59.1 17 54 0 77.10 -18.22 0.99 0 0.6 15.4 59.1 18 0 0 78.16 -19.18 0.99 0 0.6 15.4 59.0 18 6 0 79.23 -20.14 0.99 0 0.6 15.4 59.0 18 12 0 80.30 -21.10 0.99 0 0.6 15.4 58.9 18 18 0 81.37 -22.07 0.99 0 0.6 15.4 58.8 18 24 0 82.45 -23.04 0.99 0 0.6 15.4 58.8 18 30 0 83.53 -24.02 0.99 0 0.6 15.4 58.7 18 36 0 84.62 -24.99 0.99 0 0.6 15.4 58.7 18 42 0 85.71 -25.97 0.99 0 0.6 15.4 58.6 18 48 0 86.82 -26.95 0.99 0 0.6 15.4 58.6 18 54 0 87.93 -27.92 0.99 0 0.6 15.4 58.5 19 0 0 89.05 -28.90 0.99 0 0.6 15.4 58.5 19 6 0 90.18 -29.88 0.99 0 0.6 15.4 58.4 19 12 0 91.32 -30.86 0.99 0 0.6 15.4 58.4 19 18 0 92.48 -31.84 0.99 0 0.6 15.4 58.3 19 24 0 93.64 -32.82 0.99 0 0.6 15.4 58.2 19 30 0 94.83 -33.80 0.99 0 0.6 15.4 58.2 19 36 0 96.02 -34.78 0.99 0 0.6 15.4 58.1 19 42 0 97.24 -35.75 0.99 0 0.6 15.4 58.1 19 48 0 98.47 -36.72 0.99 0 0.6 15.4 58.0 19 54 0 99.72 -37.69 0.99 0 0.6 15.4 58.0 20 0 0 101.00 -38.65 0.99 0 0.6 15.4 57.9 20 6 0 102.29 -39.61 0.99 0 0.6 15.4 57.9 20 12 0 103.61 -40.57 0.99 0 0.6 15.4 57.8 20 18 0 104.96 -41.52 0.99 0 0.6 15.4 57.7 20 24 0 106.33 -42.46 0.99 0 0.6 15.4 57.7 20 30 0 107.73 -43.40 0.99 0 0.6 15.4 57.6 20 36 0 109.16 -44.33 0.99 0 0.6 15.3 57.6 20 42 0 110.63 -45.25 0.99 0 0.6 15.3 57.5 20 48 0 112.13 -46.17 0.99 0 0.6 15.3 57.5 20 54 0 113.67 -47.07 0.99 0 0.6 15.3 57.4 21 0 0 115.25 -47.96 0.99 0 0.6 15.3 57.4 21 6 0 116.87 -48.84 0.99 0 0.6 15.3 57.3 21 12 0 118.53 -49.71 0.99 0 0.6 15.3 57.3 21 18 0 120.24 -50.56 0.99 0 0.6 15.3 57.2 21 24 0 122.00 -51.40 0.99 0 0.6 15.3 57.1 21 30 0 123.81 -52.23 0.99 0 0.6 15.3 57.1 21 36 0 125.68 -53.03 0.99 0 0.6 15.3 57.0 21 42 0 127.60 -53.82 0.99 0 0.6 15.3 57.0 21 48 0 129.58 -54.59 0.99 0 0.6 15.3 56.9 21 54 0 131.62 -55.33 0.99 0 0.6 15.3 56.9 22 0 0 133.73 -56.05 0.99 0 0.6 15.3 56.8 22 6 0 135.91 -56.75 0.99 0 0.6 15.3 56.8 22 12 0 138.15 -57.41 0.99 0 0.6 15.3 56.7 22 18 0 140.46 -58.05 0.99 0 0.6 15.3 56.6 22 24 0 142.84 -58.66 0.99 0 0.6 15.3 56.6 22 30 0 145.30 -59.24 0.99 0 0.6 15.3 56.5 22 36 0 147.82 -59.78 0.99 0 0.6 15.3 56.5 22 42 0 150.41 -60.28 0.99 0 0.6 15.3 56.4 22 48 0 153.07 -60.75 0.99 0 0.6 15.3 56.4 22 54 0 155.80 -61.17 0.99 0 0.6 15.3 56.3 23 0 0 158.59 -61.55 0.99 0 0.6 15.3 56.3 23 6 0 161.44 -61.89 0.99 0 0.6 15.3 56.2 23 12 0 164.33 -62.18 0.99 0 0.6 15.3 56.2 23 18 0 167.28 -62.42 0.99 0 0.6 15.3 56.1 23 24 0 170.26 -62.61 0.99 0 0.6 15.3 56.0 23 30 0 173.27 -62.75 0.99 0 0.6 15.3 56.0 23 36 0 176.31 -62.84 0.99 0 0.6 15.3 55.9 23 42 0 179.35 -62.88 0.99 0 0.6 15.3 55.9 23 48 0 -177.60 -62.86 0.99 0 0.6 15.3 55.8 23 54 0 -174.56 -62.80 0.99 0 0.6 15.3 55.8 0 0 0 -171.54 -62.68 0.99 0 0.6 15.3 55.7 0 6 0 -168.54 -62.51 0.99 0 0.6 15.3 55.7 0 12 0 -165.58 -62.29 0.99 0 0.6 15.3 55.6 0 18 0 -162.66 -62.02 0.99 0 0.6 15.3 55.6 0 24 0 -159.79 -61.71 0.99 0 0.6 15.3 55.5 0 30 0 -156.97 -61.35 0.99 0 0.6 15.3 55.4 0 36 0 -154.22 -60.94 0.99 0 0.6 15.3 55.4 0 42 0 -151.53 -60.50 0.99 0 0.6 15.3 55.3 0 48 0 -148.90 -60.01 0.99 0 0.6 15.3 55.3 0 54 0 -146.35 -59.49 0.99 0 0.6 15.3 55.2 1 0 0 -143.87 -58.93 0.99 0 0.6 15.3 55.2 1 6 0 -141.45 -58.33 0.99 0 0.6 15.3 55.1 1 12 0 -139.11 -57.71 0.99 0 0.6 15.3 55.1 1 18 0 -136.84 -57.05 0.99 0 0.6 15.3 55.0 1 24 0 -134.63 -56.37 0.99 0 0.6 15.3 54.9 1 30 0 -132.49 -55.66 0.99 0 0.6 15.3 54.9 1 36 0 -130.42 -54.92 0.99 0 0.6 15.3 54.8 1 42 0 -128.41 -54.17 0.99 0 0.6 15.3 54.8 1 48 0 -126.46 -53.39 0.99 0 0.6 15.3 54.7 1 54 0 -124.57 -52.59 0.99 0 0.6 15.3 54.7 2 0 0 -122.74 -51.78 0.99 0 0.6 15.3 54.6 2 6 0 -120.95 -50.95 0.99 0 0.6 15.3 54.6 2 12 0 -119.22 -50.10 0.99 0 0.6 15.3 54.5 2 18 0 -117.54 -49.24 0.99 0 0.6 15.3 54.5 2 24 0 -115.90 -48.36 0.99 0 0.6 15.3 54.4 2 30 0 -114.30 -47.48 0.99 0 0.6 15.3 54.3 2 36 0 -112.75 -46.58 0.99 0 0.6 15.2 54.3 2 42 0 -111.23 -45.67 0.99 0 0.6 15.2 54.2 2 48 0 -109.75 -44.75 0.99 0 0.6 15.2 54.2 2 54 0 -108.30 -43.83 0.99 0 0.6 15.2 54.1 3 0 0 -106.89 -42.89 0.99 0 0.6 15.2 54.1 3 6 0 -105.50 -41.95 0.99 0 0.6 15.2 54.0 3 12 0 -104.14 -41.00 0.99 0 0.6 15.2 54.0 3 18 0 -102.81 -40.05 0.99 0 0.6 15.2 53.9 3 24 0 -101.51 -39.09 0.99 0 0.6 15.2 53.8 3 30 0 -100.22 -38.13 0.99 0 0.6 15.2 53.8 3 36 0 -98.96 -37.17 0.99 0 0.6 15.2 53.7 3 42 0 -97.72 -36.20 0.99 0 0.6 15.2 53.7 3 48 0 -96.50 -35.23 0.99 0 0.6 15.2 53.6 3 54 0 -95.29 -34.25 0.99 0 0.6 15.2 53.6 4 0 0 -94.10 -33.28 0.99 0 0.6 15.2 53.5 4 6 0 -92.93 -32.30 0.99 0 0.6 15.2 53.5 4 12 0 -91.77 -31.32 0.99 0 0.6 15.2 53.4 4 18 0 -90.62 -30.34 0.99 0 0.6 15.2 53.4 4 24 0 -89.48 -29.36 0.99 0 0.6 15.2 53.3 4 30 0 -88.36 -28.38 0.99 0 0.6 15.2 53.2 4 36 0 -87.24 -27.40 0.99 0 0.6 15.2 53.2 4 42 0 -86.13 -26.43 0.99 0 0.6 15.2 53.1 4 48 0 -85.04 -25.45 0.99 0 0.6 15.2 53.1 4 54 0 -83.94 -24.47 0.99 0 0.6 15.2 53.0 5 0 0 -82.86 -23.50 0.99 0 0.6 15.2 53.0 5 6 0 -81.78 -22.53 0.99 0 0.6 15.2 52.9 5 12 0 -80.70 -21.56 0.99 0 0.6 15.2 52.9 5 18 0 -79.63 -20.60 0.99 0 0.6 15.2 52.8 5 24 0 -78.56 -19.64 0.99 0 0.6 15.2 52.8 5 30 0 -77.50 -18.68 0.99 0 0.6 15.2 52.7 5 36 0 -76.44 -17.72 0.99 0 0.6 15.2 52.6 5 42 0 -75.37 -16.77 0.99 0 0.6 15.2 52.6 5 48 0 -74.31 -15.83 0.99 0 0.6 15.2 52.5 5 54 0 -73.25 -14.89 0.99 0 0.6 15.2 52.5 6 0 0 -72.19 -13.95 0.99 0 0.6 15.2 52.4 6 6 0 -71.13 -13.02 0.99 0 0.6 15.2 52.4 6 12 0 -70.07 -12.10 0.99 0 0.6 15.2 52.3 6 18 0 -69.00 -11.18 0.99 0 0.6 15.2 52.3 6 24 0 -67.94 -10.27 0.99 0 0.6 15.2 52.2 6 30 0 -66.86 -9.37 0.99 0 0.6 15.2 52.1 6 36 0 -65.79 -8.47 0.99 0 0.6 15.2 52.1 6 42 0 -64.71 -7.58 0.99 0 0.6 15.2 52.0 6 48 0 -63.63 -6.70 0.99 0 0.6 15.2 52.0 6 54 0 -62.54 -5.83 0.99 0 0.6 15.2 51.9 7 0 0 -61.45 -4.96 0.99 0 0.6 15.2 51.9 7 6 0 -60.35 -4.10 0.99 0 0.6 15.2 51.8 7 12 0 -59.25 -3.26 0.99 0 0.6 15.2 51.8 7 18 0 -58.14 -2.42 0.99 0 0.6 15.2 51.7 7 24 0 -57.02 -1.59 0.99 0 0.6 15.2 51.7 7 30 0 -55.90 -0.78 0.99 0 0.6 15.2 51.6 7 36 0 -54.77 0.03 0.99 2.8E-1 0.6 15.2 51.5 7 42 0 -53.63 0.82 0.99 4.1E+1 0.6 15.2 51.5 7 48 0 -52.48 1.60 0.99 2.0E+2 0.6 15.2 51.4 7 54 0 -51.32 2.37 0.99 5.1E+2 0.6 15.2 51.4 8 0 0 -50.16 3.13 0.99 9.9E+2 0.6 15.2 51.3 8 6 0 -48.98 3.88 0.99 1.6E+3 0.6 15.2 51.3 8 12 0 -47.80 4.61 0.99 2.4E+3 0.6 15.2 51.2 8 18 0 -46.61 5.33 0.99 3.3E+3 0.6 15.2 51.2 8 24 0 -45.40 6.03 0.99 4.2E+3 0.6 15.2 51.1 8 30 0 -44.19 6.72 0.99 5.3E+3 0.6 15.2 51.0 8 36 0 -42.97 7.40 0.99 6.3E+3 0.6 15.2 51.0 8 42 0 -41.73 8.06 0.99 7.4E+3 0.6 15.1 50.9 8 48 0 -40.49 8.70 0.99 8.6E+3 0.6 15.1 50.9 8 54 0 -39.23 9.33 0.99 9.7E+3 0.6 15.1 50.8 9 0 0 -37.97 9.94 0.99 1.1E+4 0.6 15.1 50.8 9 6 0 -36.69 10.53 0.99 1.2E+4 0.6 15.1 50.7 9 12 0 -35.40 11.11 0.99 1.3E+4 0.6 15.1 50.7 9 18 0 -34.11 11.67 0.99 1.4E+4 0.6 15.1 50.6 9 24 0 -32.80 12.21 0.99 1.5E+4 0.6 15.1 50.6 9 30 0 -31.48 12.73 0.99 1.6E+4 0.6 15.1 50.5 9 36 0 -30.15 13.23 0.99 1.7E+4 0.6 15.1 50.4 9 42 0 -28.81 13.71 0.99 1.8E+4 0.6 15.1 50.4 9 48 0 -27.46 14.17 0.99 1.9E+4 0.6 15.1 50.3 9 54 0 -26.10 14.61 0.99 2.0E+4 0.6 15.1 50.3 10 0 0 -24.73 15.03 0.99 2.1E+4 0.6 15.1 50.2 10 6 0 -23.35 15.43 0.99 2.2E+4 0.6 15.1 50.2 10 12 0 -21.96 15.81 0.99 2.3E+4 0.6 15.1 50.1 10 18 0 -20.57 16.16 0.99 2.3E+4 0.6 15.1 50.1 10 24 0 -19.16 16.50 0.99 2.4E+4 0.6 15.1 50.0 10 30 0 -17.75 16.81 0.99 2.5E+4 0.6 15.1 50.0 10 36 0 -16.33 17.09 0.99 2.5E+4 0.6 15.1 49.9 10 42 0 -14.90 17.36 0.99 2.6E+4 0.6 15.1 49.8 10 48 0 -13.47 17.59 0.99 2.6E+4 0.6 15.1 49.8 10 54 0 -12.02 17.81 0.99 2.7E+4 0.6 15.1 49.7 11 0 0 -10.58 18.00 0.99 2.7E+4 0.6 15.1 49.7 11 6 0 -9.13 18.17 0.99 2.8E+4 0.5 15.1 49.6 11 12 0 -7.67 18.31 0.99 2.8E+4 0.5 15.1 49.6 11 18 0 -6.22 18.43 0.99 2.8E+4 0.5 15.1 49.5 11 24 0 -4.75 18.52 0.99 2.8E+4 0.5 15.1 49.5 11 30 0 -3.29 18.59 0.99 2.8E+4 0.5 15.1 49.4 11 36 0 -1.83 18.63 0.99 2.8E+4 0.5 15.1 49.3 11 42 0 -0.36 18.65 0.99 2.9E+4 0.5 15.1 49.3 11 48 0 1.11 18.64 0.99 2.9E+4 0.5 15.1 49.2 11 54 0 2.57 18.61 0.99 2.8E+4 0.5 15.1 49.2 12 0 0 4.03 18.56 0.99 2.8E+4 0.5 15.1 49.1 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7:29 15:57 0.0 -22.01 10.5 15.52 -33.9 2.66 -6.0 6:52 16:34 36.9 -22.01 10.5 14.29 -27.1 0.50 -12.0 6:12 17:14 77.0 -22.01 10.5 12.96 -19.9 -2.05 -18.0 5:33 17:53 115.3 -22.01 10.5 11.68 -13.1 -3.15 from 4 values is 6:31 16:55 57.3 -22.01 10.5 13.61 -23.5 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7:30 15:57 0.0 -22.15 10.1 15.55 -34.1 2.66 -6.0 6:53 16:34 37.0 -22.15 10.1 14.32 -27.3 0.50 -12.0 6:13 17:14 77.2 -22.15 10.1 12.98 -20.1 -2.05 -18.0 5:35 17:52 115.5 -22.15 10.1 11.70 -13.3 -3.15 from 4 values is 6:33 16:54 57.4 -22.15 10.1 13.64 -23.7 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 -176.20 -16.11 57.766 -178 -12.76 -3.4 -8.8 -3.3 95.2 12 12 0 -174.86 -16.04 57.763 -178 -12.76 -3.4 -8.8 -3.3 95.2 12 18 0 -173.52 -15.94 57.759 -178 -12.76 -3.3 -8.7 -3.2 95.3 12 24 0 -172.19 -15.82 57.755 -178 -12.76 -3.3 -8.7 -3.2 95.3 12 30 0 -170.85 -15.68 57.751 -178 -12.76 -3.3 -8.7 -3.2 95.4 12 36 0 -169.53 -15.51 57.746 -178 -12.75 -3.3 -8.6 -3.2 95.4 12 42 0 -168.20 -15.33 57.741 -178 -12.75 -3.3 -8.6 -3.1 95.5 12 48 0 -166.88 -15.12 57.735 -178 -12.75 -3.3 -8.6 -3.1 95.5 12 54 0 -165.56 -14.90 57.729 -177 -12.75 -3.3 -8.6 -3.1 95.6 13 0 0 -164.25 -14.65 57.723 -177 -12.75 -3.3 -8.5 -3.1 95.6 13 6 0 -162.95 -14.38 57.717 -177 -12.75 -3.3 -8.5 -3.1 95.7 13 12 0 -161.65 -14.10 57.710 -177 -12.75 -3.3 -8.5 -3.0 95.7 13 18 0 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PhA