I Ariel 2015 ------------ Julian Date Angular Separation p a/Delta " o " 2457012.5 12.0 152.6 13.33 2457013.5 13.2 349.0 13.32 2457014.5 10.1 188.5 13.30 2457015.5 5.7 59.1 13.29 2457016.5 8.2 309.8 13.28 2457017.5 12.4 155.5 13.27 2457018.5 12.9 351.6 13.26 2457019.5 9.3 193.1 13.25 2457020.5 5.5 72.9 13.24 2457021.5 9.0 315.6 13.22 2457022.5 12.8 158.2 13.21 2457023.5 12.5 354.2 13.20 2457024.5 8.5 198.6 13.19 2457025.5 5.6 86.8 13.18 2457026.5 9.7 320.5 13.17 2457027.5 13.0 160.8 13.16 2457028.5 12.0 357.1 13.15 2457029.5 7.7 205.2 13.13 2457030.5 5.9 99.7 13.12 2457031.5 10.4 324.7 13.11 2457032.5 13.1 163.3 13.10 2457033.5 11.4 0.2 13.09 2457034.5 6.9 213.3 13.08 2457035.5 6.4 110.8 13.07 2457036.5 11.0 328.3 13.06 2457037.5 13.1 165.8 13.05 2457038.5 10.8 3.7 13.03 2457039.5 6.3 223.2 13.02 2457040.5 7.1 119.9 13.01 2457041.5 11.5 331.6 13.00 2457042.5 12.9 168.3 12.99 2457043.5 10.1 7.6 12.98 2457044.5 5.8 234.9 12.97 2457045.5 7.8 127.3 12.96 2457046.5 12.0 334.5 12.95 2457047.5 12.7 170.8 12.94 2457048.5 9.3 12.1 12.93 2457049.5 5.5 248.2 12.92 2457050.5 8.6 133.4 12.91 2457051.5 12.3 337.3 12.90 2457052.5 12.4 173.5 12.89 2457053.5 8.6 17.5 12.88 2457054.5 5.5 261.9 12.87 2457055.5 9.3 138.5 12.86 2457056.5 12.6 339.9 12.85 2457057.5 11.9 176.4 12.84 2457058.5 7.8 23.9 12.83 2457059.5 5.8 274.9 12.82 2457060.5 10.0 142.9 12.82 2457061.5 12.7 342.5 12.81 2457062.5 11.4 179.6 12.80 2457063.5 7.1 31.6 12.79 2457064.5 6.2 286.4 12.78 2457065.5 10.6 146.7 12.77 2457066.5 12.8 345.1 12.76 2457067.5 10.8 183.0 12.76 2457068.5 6.5 40.9 12.75 2457069.5 6.8 295.9 12.74 2457070.5 11.2 150.0 12.73 2457071.5 12.7 347.7 12.72 2457072.5 10.2 186.9 12.72 2457073.5 6.0 51.9 12.71 2457074.5 7.5 303.8 12.70 2457075.5 11.6 153.2 12.70 2457076.5 12.5 350.3 12.69 2457077.5 9.5 191.4 12.68 2457078.5 5.7 64.2 12.68 2457079.5 8.2 310.3 12.67 2457080.5 12.0 156.1 12.66 2457081.5 12.2 353.1 12.66 2457082.5 8.8 196.6 12.65 2457083.5 5.6 77.3 12.64 2457084.5 8.9 315.8 12.64 2457085.5 12.3 158.8 12.63 2457086.5 11.9 356.1 12.63 2457087.5 8.1 202.7 12.62 2457088.5 5.8 90.0 12.62 2457089.5 9.6 320.4 12.61 2457090.5 12.5 161.5 12.61 2457091.5 11.4 359.3 12.60 2457092.5 7.4 210.0 12.60 2457093.5 6.2 101.5 12.59 2457094.5 10.3 324.5 12.59 2457095.5 12.6 164.2 12.59 2457096.5 10.9 2.8 12.58 2457097.5 6.8 218.6 12.58 2457098.5 6.7 111.4 12.57 2457099.5 10.8 328.2 12.57 2457100.5 12.6 166.9 12.57 2457101.5 10.4 6.7 12.56 2457102.5 6.3 228.6 12.56 2457103.5 7.4 119.7 12.56 2457104.5 11.3 331.5 12.56 2457105.5 12.5 169.7 12.55 2457106.5 9.7 11.1 12.55 2457107.5 6.0 240.0 12.55 2457108.5 8.0 126.6 12.55 2457109.5 11.8 334.6 12.55 2457110.5 12.3 172.5 12.54 2457111.5 9.1 16.2 12.54 2457112.5 5.9 252.2 12.54 2457113.5 8.7 132.5 12.54 2457114.5 12.1 337.6 12.54 2457115.5 12.0 175.6 12.54 2457116.5 8.4 22.1 12.54 2457117.5 6.0 264.4 12.54 2457118.5 9.4 137.6 12.54 2457119.5 12.3 340.4 12.54 2457120.5 11.6 178.8 12.54 2457121.5 7.8 28.9 12.54 2457122.5 6.3 275.9 12.54 2457123.5 10.1 142.0 12.54 2457124.5 12.5 343.3 12.54 2457125.5 11.2 182.3 12.54 2457126.5 7.3 36.9 12.54 2457127.5 6.7 286.1 12.54 2457128.5 10.6 145.9 12.54 2457129.5 12.5 346.1 12.54 2457130.5 10.7 186.2 12.55 2457131.5 6.8 46.1 12.55 2457132.5 7.3 294.9 12.55 2457133.5 11.2 149.5 12.55 2457134.5 12.5 349.0 12.55 2457135.5 10.1 190.5 12.56 2457136.5 6.4 56.5 12.56 2457137.5 7.9 302.4 12.56 2457138.5 11.6 152.9 12.57 2457139.5 12.4 352.0 12.57 2457140.5 9.5 195.4 12.57 2457141.5 6.3 67.8 12.58 2457142.5 8.6 308.8 12.58 2457143.5 12.0 156.0 12.58 2457144.5 12.2 355.0 12.59 2457145.5 8.9 201.0 12.59 2457146.5 6.3 79.4 12.59 2457147.5 9.3 314.3 12.60 2457148.5 12.3 159.1 12.60 2457149.5 11.9 358.3 12.61 2457150.5 8.4 207.3 12.61 2457151.5 6.5 90.6 12.62 2457152.5 9.9 319.1 12.62 2457153.5 12.5 162.0 12.63 2457154.5 11.5 1.9 12.63 2457155.5 7.8 214.7 12.64 2457156.5 6.9 100.9 12.64 2457157.5 10.5 323.5 12.65 2457158.5 12.7 165.0 12.66 2457159.5 11.1 5.7 12.66 2457160.5 7.3 223.1 12.67 2457161.5 7.4 110.1 12.67 2457162.5 11.1 327.4 12.68 2457163.5 12.7 168.0 12.69 2457164.5 10.6 9.9 12.69 2457165.5 6.9 232.6 12.70 2457166.5 7.9 118.1 12.71 2457167.5 11.6 331.0 12.72 2457168.5 12.6 171.0 12.72 2457169.5 10.0 14.6 12.73 2457170.5 6.7 243.1 12.74 2457171.5 8.6 125.0 12.75 2457172.5 12.0 334.4 12.75 2457173.5 12.5 174.1 12.76 2457174.5 9.5 19.8 12.77 2457175.5 6.6 254.1 12.78 2457176.5 9.2 130.9 12.79 2457177.5 12.4 337.6 12.79 2457178.5 12.2 177.4 12.80 2457179.5 8.9 25.8 12.81 2457180.5 6.7 265.1 12.82 2457181.5 9.9 136.2 12.83 2457182.5 12.7 340.7 12.84 2457183.5 11.9 180.9 12.85 2457184.5 8.4 32.6 12.86 2457185.5 7.0 275.6 12.86 2457186.5 10.5 140.9 12.87 2457187.5 12.8 343.8 12.88 2457188.5 11.5 184.6 12.89 2457189.5 7.9 40.4 12.90 2457190.5 7.4 285.1 12.91 2457191.5 11.1 145.1 12.92 2457192.5 12.9 346.9 12.93 2457193.5 11.1 188.6 12.94 2457194.5 7.4 49.2 12.95 2457195.5 8.0 293.6 12.96 2457196.5 11.7 148.9 12.97 2457197.5 12.9 349.9 12.98 2457198.5 10.6 193.1 12.99 2457199.5 7.1 59.0 13.00 2457200.5 8.6 301.1 13.01 2457201.5 12.1 152.5 13.02 2457202.5 12.8 353.1 13.03 2457203.5 10.0 198.0 13.04 2457204.5 7.0 69.4 13.05 2457205.5 9.2 307.6 13.07 2457206.5 12.5 155.9 13.08 2457207.5 12.6 356.3 13.09 2457208.5 9.5 203.6 13.10 2457209.5 7.0 80.2 13.11 2457210.5 9.9 313.3 13.12 2457211.5 12.9 159.2 13.13 2457212.5 12.4 359.7 13.14 2457213.5 8.9 209.9 13.15 2457214.5 7.2 90.7 13.16 2457215.5 10.5 318.4 13.17 2457216.5 13.1 162.3 13.19 2457217.5 12.0 3.3 13.20 2457218.5 8.4 217.1 13.21 2457219.5 7.5 100.6 13.22 2457220.5 11.1 322.9 13.23 2457221.5 13.2 165.4 13.24 2457222.5 11.6 7.2 13.25 2457223.5 7.9 225.2 13.26 2457224.5 8.0 109.6 13.27 2457225.5 11.7 327.0 13.29 2457226.5 13.3 168.5 13.30 2457227.5 11.1 11.4 13.31 2457228.5 7.5 234.4 13.32 2457229.5 8.6 117.6 13.33 2457230.5 12.2 330.8 13.34 2457231.5 13.2 171.6 13.35 2457232.5 10.6 16.1 13.36 2457233.5 7.3 244.5 13.37 2457234.5 9.2 124.6 13.39 2457235.5 12.7 334.4 13.40 2457236.5 13.1 174.8 13.41 2457237.5 10.0 21.3 13.42 2457238.5 7.2 255.1 13.43 2457239.5 9.9 130.7 13.44 2457240.5 13.0 337.8 13.45 2457241.5 12.9 178.1 13.46 2457242.5 9.4 27.2 13.47 2457243.5 7.3 265.8 13.48 2457244.5 10.5 136.1 13.49 2457245.5 13.3 341.0 13.50 2457246.5 12.5 181.5 13.51 2457247.5 8.8 33.9 13.52 2457248.5 7.5 276.2 13.53 2457249.5 11.2 141.0 13.54 2457250.5 13.5 344.1 13.55 2457251.5 12.1 185.2 13.56 2457252.5 8.3 41.5 13.57 2457253.5 7.9 285.7 13.58 2457254.5 11.8 145.3 13.59 2457255.5 13.6 347.2 13.60 2457256.5 11.6 189.2 13.61 2457257.5 7.8 50.2 13.62 2457258.5 8.4 294.3 13.63 2457259.5 12.3 149.3 13.64 2457260.5 13.6 350.2 13.65 2457261.5 11.1 193.5 13.66 2457262.5 7.5 60.0 13.66 2457263.5 9.1 301.9 13.67 2457264.5 12.8 152.9 13.68 2457265.5 13.5 353.3 13.69 2457266.5 10.5 198.4 13.70 2457267.5 7.3 70.5 13.70 2457268.5 9.7 308.5 13.71 2457269.5 13.2 156.3 13.72 2457270.5 13.2 356.5 13.73 2457271.5 9.8 203.8 13.73 2457272.5 7.2 81.5 13.74 2457273.5 10.4 314.3 13.75 2457274.5 13.5 159.6 13.76 2457275.5 12.9 359.8 13.76 2457276.5 9.2 210.1 13.77 2457277.5 7.4 92.3 13.77 2457278.5 11.0 319.4 13.78 2457279.5 13.7 162.7 13.79 2457280.5 12.5 3.3 13.79 2457281.5 8.5 217.3 13.80 2457282.5 7.8 102.4 13.80 2457283.5 11.7 323.9 13.81 2457284.5 13.8 165.7 13.81 2457285.5 12.0 7.0 13.82 2457286.5 8.0 225.6 13.82 2457287.5 8.2 111.6 13.83 2457288.5 12.2 328.0 13.83 2457289.5 13.8 168.7 13.83 2457290.5 11.4 11.1 13.84 2457291.5 7.5 235.1 13.84 2457292.5 8.8 119.7 13.84 2457293.5 12.7 331.8 13.85 2457294.5 13.7 171.7 13.85 2457295.5 10.7 15.6 13.85 2457296.5 7.2 245.7 13.86 2457297.5 9.5 126.7 13.86 2457298.5 13.2 335.2 13.86 2457299.5 13.5 174.7 13.86 2457300.5 10.0 20.8 13.86 2457301.5 7.1 257.0 13.86 2457302.5 10.1 132.8 13.87 2457303.5 13.5 338.5 13.87 2457304.5 13.1 177.9 13.87 2457305.5 9.3 26.7 13.87 2457306.5 7.1 268.3 13.87 2457307.5 10.8 138.1 13.87 2457308.5 13.7 341.5 13.87 2457309.5 12.7 181.1 13.87 2457310.5 8.6 33.5 13.87 2457311.5 7.4 279.2 13.87 2457312.5 11.5 142.8 13.86 2457313.5 13.8 344.5 13.86 2457314.5 12.2 184.7 13.86 2457315.5 8.0 41.5 13.86 2457316.5 7.9 289.1 13.86 2457317.5 12.0 147.0 13.86 2457318.5 13.8 347.4 13.85 2457319.5 11.6 188.5 13.85 2457320.5 7.4 50.8 13.85 2457321.5 8.4 297.7 13.84 2457322.5 12.6 150.8 13.84 2457323.5 13.7 350.3 13.84 2457324.5 10.9 192.8 13.83 2457325.5 7.0 61.4 13.83 2457326.5 9.1 305.2 13.83 2457327.5 13.0 154.2 13.82 2457328.5 13.5 353.3 13.82 2457329.5 10.2 197.6 13.81 2457330.5 6.8 73.0 13.81 2457331.5 9.7 311.6 13.80 2457332.5 13.3 157.4 13.80 2457333.5 13.2 356.3 13.79 2457334.5 9.4 203.2 13.79 2457335.5 6.8 84.9 13.78 2457336.5 10.4 317.1 13.77 2457337.5 13.6 160.5 13.77 2457338.5 12.7 359.5 13.76 2457339.5 8.7 209.8 13.75 2457340.5 7.0 96.3 13.75 2457341.5 11.1 321.9 13.74 2457342.5 13.7 163.4 13.73 2457343.5 12.2 2.9 13.72 2457344.5 8.0 217.5 13.72 2457345.5 7.4 106.7 13.71 2457346.5 11.7 326.2 13.70 2457347.5 13.7 166.2 13.69 2457348.5 11.6 6.6 13.69 2457349.5 7.3 226.5 13.68 2457350.5 8.0 115.9 13.67 2457351.5 12.2 330.0 13.66 2457352.5 13.6 169.1 13.65 2457353.5 10.9 10.7 13.64 2457354.5 6.9 237.0 13.63 2457355.5 8.6 123.7 13.62 2457356.5 12.6 333.4 13.61 2457357.5 13.4 171.9 13.60 2457358.5 10.1 15.3 13.60 2457359.5 6.6 248.7 13.59 2457360.5 9.3 130.3 13.58 2457361.5 13.0 336.6 13.57 2457362.5 13.1 174.9 13.56 2457363.5 9.4 20.7 13.55 2457364.5 6.5 260.9 13.54 2457365.5 10.0 135.9 13.53 2457366.5 13.2 339.6 13.51 2457367.5 12.6 178.0 13.50 2457368.5 8.6 27.0 13.49 2457369.5 6.7 272.9 13.48 2457370.5 10.6 140.8 13.47 2457371.5 13.4 342.5 13.46 2457372.5 12.1 181.3 13.45 2457373.5 7.9 34.5 13.44 2457374.5 7.0 283.9 13.43 2457375.5 11.2 145.1 13.42 2457376.5 13.4 345.3 13.41 2457377.5 11.5 184.9 13.40 2457378.5 7.3 43.3 13.38 2457379.5 7.5 293.4 13.37 2457380.5 11.8 148.9 13.36 2457381.5 13.3 348.2 13.35 2457382.5 10.8 188.9 13.34 2457383.5 6.8 53.6 13.33 2457384.5 8.2 301.6 13.32 2457385.5 12.2 152.4 13.30 2457386.5 13.1 351.0 13.29 2457387.5 10.1 193.5 13.28 2457388.5 6.4 65.1 13.27 2457389.5 8.8 308.5 13.26 2457390.5 12.6 155.6 13.25 2457391.5 12.8 354.0 13.24 2457392.5 9.4 198.7 13.22 2457393.5 6.3 77.3 13.21 2457394.5 9.5 314.3 13.20 2457395.5 12.8 158.7 13.19 2457396.5 12.4 357.0 13.18 2457397.5 8.6 204.8 13.17 2457398.5 6.4 89.4 13.16 2457399.5 10.1 319.4 13.15 2457400.5 13.0 161.6 13.13 2457401.5 12.0 0.4 13.12 2457402.5 7.9 211.9 13.11 2457403.5 6.8 100.6 13.10 Time from F p' Elongation d h 0 00 0.999 346.36 0 02 0.983 340.27 0 04 0.937 333.77 0 06 0.863 326.37 0 08 0.770 317.34 0 10 0.668 305.65 0 12 0.575 289.89 0 14 0.515 269.27 0 16 0.511 245.95 0 18 0.566 224.84 0 20 0.657 208.55 0 22 0.759 196.48 1 00 0.854 187.23 1 02 0.930 179.69 1 04 0.980 173.13 1 06 1.000 167.03 1 08 0.988 160.98 1 10 0.945 154.58 1 12 0.874 147.34 1 14 0.783 138.59 1 16 0.681 127.34 1 18 0.586 112.22 1 20 0.520 92.22 1 22 0.508 69.00 2 00 0.556 47.36 2 02 0.643 30.43 2 04 0.745 17.89 2 06 0.842 8.33 2 08 0.921 0.62 2 10 0.975 353.96 2 12 0.998 347.82 2 14 0.990 341.79 II Umbriel 2015 --------------- Julian Date Angular Separation p a/Delta " o " 2457012.5 7.8 88.1 18.57 2457013.5 18.4 348.6 18.55 2457014.5 8.4 280.8 18.53 2457015.5 18.0 171.5 18.52 2457016.5 9.2 113.4 18.50 2457017.5 17.5 354.1 18.49 2457018.5 10.2 301.9 18.47 2457019.5 16.8 177.3 18.46 2457020.5 11.4 130.3 18.44 2457021.5 15.9 0.5 18.42 2457022.5 12.5 315.7 18.41 2457023.5 15.0 184.3 18.39 2457024.5 13.7 141.5 18.38 2457025.5 13.8 8.5 18.36 2457026.5 14.7 325.2 18.34 2457027.5 12.8 193.5 18.33 2457028.5 15.7 149.5 18.31 2457029.5 11.5 19.5 18.30 2457030.5 16.4 332.4 18.28 2457031.5 10.4 206.7 18.27 2457032.5 17.2 155.9 18.25 2457033.5 9.3 36.0 18.23 2457034.5 17.6 338.4 18.22 2457035.5 8.5 226.7 18.20 2457036.5 18.0 161.5 18.19 2457037.5 7.8 60.8 18.17 2457038.5 18.1 343.8 18.16 2457039.5 7.6 254.4 18.14 2457040.5 18.1 166.7 18.13 2457041.5 7.8 90.4 18.11 2457042.5 17.9 349.1 18.10 2457043.5 8.4 282.3 18.08 2457044.5 17.6 172.1 18.07 2457045.5 9.3 114.7 18.05 2457046.5 16.9 354.8 18.04 2457047.5 10.2 302.6 18.03 2457048.5 16.3 178.2 18.01 2457049.5 11.4 130.9 18.00 2457050.5 15.4 1.4 17.98 2457051.5 12.4 316.0 17.97 2457052.5 14.5 185.4 17.96 2457053.5 13.6 141.8 17.94 2457054.5 13.4 9.7 17.93 2457055.5 14.5 325.4 17.92 2457056.5 12.4 195.1 17.90 2457057.5 15.5 149.8 17.89 2457058.5 11.2 21.2 17.88 2457059.5 16.2 332.6 17.87 2457060.5 10.2 208.8 17.85 2457061.5 16.9 156.2 17.84 2457062.5 9.1 38.3 17.83 2457063.5 17.3 338.6 17.82 2457064.5 8.4 229.3 17.80 2457065.5 17.7 161.9 17.79 2457066.5 7.8 63.1 17.78 2457067.5 17.7 344.2 17.77 2457068.5 7.7 256.7 17.76 2457069.5 17.7 167.3 17.75 2457070.5 7.9 91.7 17.74 2457071.5 17.5 349.7 17.73 2457072.5 8.5 283.3 17.72 2457073.5 17.1 173.0 17.71 2457074.5 9.4 114.9 17.70 2457075.5 16.6 355.7 17.69 2457076.5 10.4 302.8 17.68 2457077.5 15.9 179.3 17.67 2457078.5 11.5 130.7 17.66 2457079.5 15.1 2.6 17.65 2457080.5 12.5 315.9 17.64 2457081.5 14.2 187.0 17.63 2457082.5 13.6 141.6 17.62 2457083.5 13.2 11.4 17.61 2457084.5 14.5 325.3 17.61 2457085.5 12.2 197.1 17.60 2457086.5 15.4 149.7 17.59 2457087.5 11.1 23.5 17.58 2457088.5 16.1 332.7 17.58 2457089.5 10.1 211.4 17.57 2457090.5 16.7 156.3 17.56 2457091.5 9.1 41.0 17.56 2457092.5 17.1 338.9 17.55 2457093.5 8.5 232.0 17.54 2457094.5 17.4 162.2 17.54 2457095.5 8.0 65.5 17.53 2457096.5 17.5 344.7 17.53 2457097.5 8.0 258.4 17.52 2457098.5 17.5 167.9 17.52 2457099.5 8.3 92.6 17.51 2457100.5 17.2 350.6 17.51 2457101.5 8.8 283.6 17.50 2457102.5 16.9 173.9 17.50 2457103.5 9.7 114.8 17.50 2457104.5 16.4 356.9 17.49 2457105.5 10.6 302.4 17.49 2457106.5 15.8 180.6 17.49 2457107.5 11.7 130.3 17.48 2457108.5 14.9 4.2 17.48 2457109.5 12.6 315.5 17.48 2457110.5 14.1 188.7 17.48 2457111.5 13.7 141.2 17.47 2457112.5 13.1 13.5 17.47 2457113.5 14.5 325.0 17.47 2457114.5 12.2 199.2 17.47 2457115.5 15.5 149.5 17.47 2457116.5 11.1 26.1 17.47 2457117.5 16.0 332.6 17.47 2457118.5 10.3 213.9 17.47 2457119.5 16.7 156.4 17.47 2457120.5 9.4 43.8 17.47 2457121.5 17.0 339.1 17.47 2457122.5 8.8 234.3 17.47 2457123.5 17.4 162.6 17.47 2457124.5 8.4 67.6 17.47 2457125.5 17.4 345.2 17.47 2457126.5 8.4 259.5 17.47 2457127.5 17.5 168.6 17.47 2457128.5 8.7 93.3 17.47 2457129.5 17.2 351.4 17.48 2457130.5 9.3 283.4 17.48 2457131.5 16.9 174.9 17.48 2457132.5 10.1 114.5 17.48 2457133.5 16.3 358.0 17.49 2457134.5 10.9 301.7 17.49 2457135.5 15.8 181.9 17.49 2457136.5 12.0 129.7 17.50 2457137.5 15.0 5.7 17.50 2457138.5 12.9 314.8 17.50 2457139.5 14.2 190.4 17.51 2457140.5 14.0 140.8 17.51 2457141.5 13.2 15.4 17.52 2457142.5 14.7 324.6 17.52 2457143.5 12.4 201.4 17.53 2457144.5 15.6 149.3 17.53 2457145.5 11.3 28.3 17.54 2457146.5 16.2 332.5 17.55 2457147.5 10.6 216.3 17.55 2457148.5 16.9 156.5 17.56 2457149.5 9.7 46.0 17.56 2457150.5 17.2 339.3 17.57 2457151.5 9.2 236.5 17.58 2457152.5 17.5 162.9 17.58 2457153.5 8.9 69.0 17.59 2457154.5 17.6 345.7 17.60 2457155.5 8.9 260.6 17.61 2457156.5 17.6 169.3 17.61 2457157.5 9.2 93.5 17.62 2457158.5 17.3 352.1 17.63 2457159.5 9.8 283.5 17.64 2457160.5 17.0 175.8 17.65 2457161.5 10.5 114.0 17.66 2457162.5 16.5 359.0 17.67 2457163.5 11.4 301.3 17.68 2457164.5 15.9 183.2 17.68 2457165.5 12.4 129.2 17.69 2457166.5 15.2 7.1 17.70 2457167.5 13.3 314.4 17.71 2457168.5 14.4 192.0 17.72 2457169.5 14.3 140.4 17.73 2457170.5 13.5 17.0 17.74 2457171.5 15.1 324.4 17.76 2457172.5 12.6 203.3 17.77 2457173.5 15.9 149.1 17.78 2457174.5 11.7 30.2 17.79 2457175.5 16.5 332.5 17.80 2457176.5 10.9 218.3 17.81 2457177.5 17.2 156.5 17.82 2457178.5 10.1 47.9 17.83 2457179.5 17.5 339.5 17.85 2457180.5 9.7 238.2 17.86 2457181.5 17.8 163.2 17.87 2457182.5 9.3 70.3 17.88 2457183.5 17.9 346.2 17.90 2457184.5 9.4 261.5 17.91 2457185.5 17.9 169.8 17.92 2457186.5 9.7 94.0 17.93 2457187.5 17.6 352.8 17.95 2457188.5 10.2 283.6 17.96 2457189.5 17.3 176.6 17.97 2457190.5 11.0 113.9 17.99 2457191.5 16.8 360.0 18.00 2457192.5 11.8 301.2 18.01 2457193.5 16.2 184.1 18.03 2457194.5 12.8 129.0 18.04 2457195.5 15.5 8.3 18.06 2457196.5 13.7 314.3 18.07 2457197.5 14.7 193.1 18.08 2457198.5 14.7 140.3 18.10 2457199.5 13.8 18.4 18.11 2457200.5 15.5 324.4 18.13 2457201.5 13.0 204.5 18.14 2457202.5 16.4 149.2 18.16 2457203.5 12.0 31.8 18.17 2457204.5 16.9 332.6 18.19 2457205.5 11.3 219.6 18.20 2457206.5 17.6 156.7 18.22 2457207.5 10.5 49.5 18.23 2457208.5 17.9 339.8 18.25 2457209.5 10.1 239.3 18.26 2457210.5 18.3 163.6 18.28 2457211.5 9.7 71.6 18.29 2457212.5 18.3 346.5 18.31 2457213.5 9.8 262.3 18.32 2457214.5 18.3 170.2 18.34 2457215.5 10.1 94.8 18.35 2457216.5 18.0 353.3 18.37 2457217.5 10.7 284.0 18.38 2457218.5 17.7 177.1 18.40 2457219.5 11.5 114.4 18.42 2457220.5 17.2 0.6 18.43 2457221.5 12.3 301.3 18.45 2457222.5 16.6 184.8 18.46 2457223.5 13.3 129.3 18.48 2457224.5 15.8 8.9 18.49 2457225.5 14.2 314.4 18.51 2457226.5 15.1 193.9 18.52 2457227.5 15.2 140.6 18.54 2457228.5 14.1 19.2 18.56 2457229.5 16.0 324.6 18.57 2457230.5 13.3 205.5 18.59 2457231.5 16.9 149.5 18.60 2457232.5 12.2 32.6 18.62 2457233.5 17.4 332.8 18.63 2457234.5 11.5 220.7 18.65 2457235.5 18.1 157.1 18.66 2457236.5 10.7 50.4 18.68 2457237.5 18.4 340.0 18.69 2457238.5 10.3 240.5 18.71 2457239.5 18.7 163.9 18.72 2457240.5 10.0 72.6 18.74 2457241.5 18.7 346.8 18.75 2457242.5 10.1 263.4 18.77 2457243.5 18.7 170.6 18.78 2457244.5 10.4 95.6 18.80 2457245.5 18.4 353.6 18.81 2457246.5 11.0 285.0 18.82 2457247.5 18.1 177.5 18.84 2457248.5 11.8 115.1 18.85 2457249.5 17.5 0.8 18.87 2457250.5 12.6 302.2 18.88 2457251.5 16.9 185.1 18.89 2457252.5 13.7 129.9 18.91 2457253.5 16.1 9.2 18.92 2457254.5 14.6 315.2 18.93 2457255.5 15.3 194.3 18.95 2457256.5 15.6 141.1 18.96 2457257.5 14.3 19.5 18.97 2457258.5 16.4 325.2 18.99 2457259.5 13.4 205.8 19.00 2457260.5 17.3 149.9 19.01 2457261.5 12.4 33.0 19.02 2457262.5 17.9 333.3 19.04 2457263.5 11.6 221.2 19.05 2457264.5 18.5 157.4 19.06 2457265.5 10.8 51.1 19.07 2457266.5 18.8 340.5 19.08 2457267.5 10.3 241.4 19.09 2457268.5 19.1 164.2 19.10 2457269.5 10.0 73.7 19.11 2457270.5 19.1 347.1 19.12 2457271.5 10.1 264.8 19.13 2457272.5 19.0 170.7 19.14 2457273.5 10.5 97.1 19.15 2457274.5 18.7 353.8 19.16 2457275.5 11.1 286.6 19.17 2457276.5 18.4 177.5 19.18 2457277.5 12.0 116.6 19.19 2457278.5 17.7 0.9 19.20 2457279.5 12.8 303.6 19.21 2457280.5 17.1 185.1 19.21 2457281.5 13.9 131.2 19.22 2457282.5 16.2 9.2 19.23 2457283.5 14.8 316.3 19.24 2457284.5 15.3 194.1 19.24 2457285.5 15.9 142.1 19.25 2457286.5 14.2 19.5 19.26 2457287.5 16.7 326.0 19.26 2457288.5 13.3 205.7 19.27 2457289.5 17.6 150.7 19.27 2457290.5 12.2 33.2 19.28 2457291.5 18.1 334.0 19.28 2457292.5 11.4 221.4 19.29 2457293.5 18.8 157.9 19.29 2457294.5 10.5 51.9 19.29 2457295.5 19.0 340.9 19.30 2457296.5 10.1 242.3 19.30 2457297.5 19.3 164.5 19.31 2457298.5 9.8 75.4 19.31 2457299.5 19.2 347.3 19.31 2457300.5 10.0 266.4 19.31 2457301.5 19.2 170.9 19.31 2457302.5 10.4 99.2 19.32 2457303.5 18.8 353.8 19.32 2457304.5 11.0 288.4 19.32 2457305.5 18.4 177.5 19.32 2457306.5 12.0 118.6 19.32 2457307.5 17.7 0.8 19.32 2457308.5 12.9 305.3 19.32 2457309.5 17.0 184.9 19.32 2457310.5 14.0 132.8 19.32 2457311.5 16.0 9.0 19.32 2457312.5 14.9 317.6 19.31 2457313.5 15.1 193.9 19.31 2457314.5 16.0 143.3 19.31 2457315.5 14.0 19.3 19.31 2457316.5 16.8 327.0 19.31 2457317.5 13.0 205.7 19.30 2457318.5 17.7 151.6 19.30 2457319.5 11.8 33.2 19.29 2457320.5 18.2 334.7 19.29 2457321.5 11.0 221.9 19.29 2457322.5 18.8 158.6 19.28 2457323.5 10.1 52.6 19.28 2457324.5 19.0 341.3 19.27 2457325.5 9.7 243.7 19.27 2457326.5 19.3 164.9 19.26 2457327.5 9.5 77.0 19.25 2457328.5 19.2 347.5 19.25 2457329.5 9.7 268.7 19.24 2457330.5 19.1 171.0 19.23 2457331.5 10.1 101.4 19.23 2457332.5 18.6 353.8 19.22 2457333.5 10.9 290.8 19.21 2457334.5 18.1 177.5 19.20 2457335.5 11.8 120.6 19.20 2457336.5 17.4 0.7 19.19 2457337.5 12.8 307.3 19.18 2457338.5 16.6 184.8 19.17 2457339.5 13.9 134.4 19.16 2457340.5 15.6 8.8 19.15 2457341.5 14.9 319.2 19.14 2457342.5 14.7 193.9 19.13 2457343.5 15.9 144.5 19.12 2457344.5 13.5 19.3 19.11 2457345.5 16.7 328.1 19.10 2457346.5 12.5 205.8 19.09 2457347.5 17.6 152.4 19.08 2457348.5 11.4 33.6 19.06 2457349.5 18.1 335.4 19.05 2457350.5 10.5 222.6 19.04 2457351.5 18.6 159.1 19.03 2457352.5 9.7 53.8 19.02 2457353.5 18.8 341.9 19.00 2457354.5 9.3 245.4 18.99 2457355.5 19.0 165.2 18.98 2457356.5 9.1 79.1 18.97 2457357.5 18.9 347.9 18.95 2457358.5 9.3 271.0 18.94 2457359.5 18.7 171.3 18.93 2457360.5 9.9 103.7 18.91 2457361.5 18.2 354.1 18.90 2457362.5 10.7 293.0 18.88 2457363.5 17.7 177.6 18.87 2457364.5 11.7 122.5 18.86 2457365.5 16.9 1.0 18.84 2457366.5 12.6 308.9 18.83 2457367.5 16.2 185.0 18.81 2457368.5 13.8 135.8 18.80 2457369.5 15.1 9.2 18.78 2457370.5 14.7 320.3 18.77 2457371.5 14.2 194.2 18.75 2457372.5 15.8 145.5 18.74 2457373.5 13.0 19.9 18.72 2457374.5 16.5 329.0 18.71 2457375.5 12.0 206.4 18.69 2457376.5 17.3 153.1 18.68 2457377.5 10.8 34.7 18.66 2457378.5 17.8 336.1 18.65 2457379.5 10.1 223.8 18.63 2457380.5 18.3 159.7 18.61 2457381.5 9.2 55.7 18.60 2457382.5 18.4 342.4 18.58 2457383.5 8.9 247.2 18.57 2457384.5 18.6 165.7 18.55 2457385.5 8.8 81.6 18.53 2457386.5 18.4 348.4 18.52 2457387.5 9.1 273.0 18.50 2457388.5 18.2 171.7 18.49 2457389.5 9.8 105.8 18.47 2457390.5 17.7 354.6 18.46 2457391.5 10.5 294.5 18.44 2457392.5 17.2 178.2 18.42 2457393.5 11.6 124.0 18.41 2457394.5 16.4 1.5 18.39 2457395.5 12.5 310.0 18.38 2457396.5 15.6 185.7 18.36 2457397.5 13.6 136.8 18.34 2457398.5 14.6 9.9 18.33 2457399.5 14.5 321.0 18.31 2457400.5 13.7 195.1 18.30 2457401.5 15.5 146.2 18.28 2457402.5 12.5 20.9 18.27 2457403.5 16.2 329.5 18.25 Time from F p' Elongation d h o 0 00 0.997 346.08 0 02 0.991 342.40 0 04 0.973 338.62 0 06 0.945 334.66 0 08 0.905 330.40 0 10 0.857 325.71 0 12 0.802 320.41 0 14 0.742 314.28 0 16 0.680 307.04 0 18 0.620 298.37 0 20 0.567 287.97 0 22 0.528 275.72 1 00 0.508 262.01 1 02 0.510 247.80 1 04 0.534 234.32 1 06 0.577 222.42 1 08 0.631 212.38 1 10 0.692 204.02 1 12 0.754 197.03 1 14 0.814 191.10 1 16 0.869 185.95 1 18 0.916 181.37 1 20 0.954 177.21 1 22 0.982 173.32 2 00 0.998 169.61 2 02 1.003 165.97 2 04 0.995 162.33 2 06 0.977 158.59 2 08 0.947 154.66 2 10 0.907 150.42 2 12 0.857 145.75 2 14 0.801 140.45 2 16 0.740 134.32 2 18 0.676 127.05 2 20 0.616 118.30 2 22 0.562 107.77 3 00 0.523 95.33 3 02 0.502 81.37 3 04 0.506 66.95 3 06 0.531 53.32 3 08 0.575 41.37 3 10 0.631 31.33 3 12 0.693 23.01 3 14 0.756 16.07 3 16 0.815 10.17 3 18 0.870 5.05 3 20 0.916 0.50 3 22 0.953 356.35 4 00 0.979 352.46 4 02 0.994 348.73 4 04 0.997 345.07 III Titania 2015 ---------------- Julian Date Angular Separation p a/Delta " o " 2457012.5 29.7 159.5 30.45 2457013.5 20.2 134.3 30.43 2457014.5 13.1 59.8 30.40 2457015.5 24.1 6.0 30.37 2457016.5 30.4 345.8 30.35 2457017.5 24.6 326.0 30.32 2457018.5 13.2 275.2 30.30 2457019.5 19.5 198.0 30.27 2457020.5 29.3 171.9 30.24 2457021.5 27.7 153.9 30.22 2457022.5 16.5 120.4 30.19 2457023.5 15.3 36.5 30.17 2457024.5 26.8 359.0 30.14 2457025.5 29.7 340.7 30.11 2457026.5 20.9 317.0 30.09 2457027.5 12.6 246.6 30.06 2457028.5 23.0 187.9 30.04 2457029.5 29.9 166.7 30.01 2457030.5 24.8 147.1 29.99 2457031.5 13.5 99.3 29.96 2457032.5 18.7 20.6 29.93 2457033.5 28.7 353.2 29.91 2457034.5 28.0 335.2 29.88 2457035.5 17.1 304.2 29.86 2457036.5 14.5 221.3 29.83 2457037.5 25.9 180.4 29.81 2457038.5 29.4 161.6 29.78 2457039.5 21.3 138.5 29.76 2457040.5 12.6 71.5 29.73 2457041.5 22.2 9.8 29.71 2457042.5 29.6 347.9 29.69 2457043.5 25.3 328.8 29.66 2457044.5 14.0 284.8 29.64 2457045.5 17.8 203.8 29.61 2457046.5 28.0 174.3 29.59 2457047.5 27.9 156.1 29.57 2457048.5 17.7 126.4 29.54 2457049.5 14.1 45.7 29.52 2457050.5 25.2 2.1 29.50 2457051.5 29.4 342.8 29.48 2457052.5 22.0 320.5 29.45 2457053.5 12.6 258.1 29.43 2457054.5 21.3 192.1 29.41 2457055.5 29.1 168.9 29.39 2457056.5 25.5 149.8 29.37 2457057.5 14.4 108.3 29.34 2457058.5 17.1 27.1 29.32 2457059.5 27.5 355.8 29.30 2457060.5 28.1 337.4 29.28 2457061.5 18.4 309.1 29.26 2457062.5 13.6 231.1 29.24 2457063.5 24.4 183.8 29.22 2457064.5 29.1 163.7 29.20 2457065.5 22.4 141.7 29.18 2457066.5 12.8 83.0 29.17 2457067.5 20.6 14.6 29.15 2457068.5 28.8 350.2 29.13 2457069.5 25.9 331.1 29.11 2457070.5 15.1 292.4 29.09 2457071.5 16.4 211.1 29.08 2457072.5 26.8 177.2 29.06 2457073.5 28.1 158.3 29.04 2457074.5 18.9 130.9 29.03 2457075.5 13.4 56.0 29.01 2457076.5 23.7 5.8 28.99 2457077.5 29.0 344.9 28.98 2457078.5 23.0 323.3 28.96 2457079.5 13.1 268.7 28.95 2457080.5 19.8 197.5 28.93 2457081.5 28.3 171.5 28.92 2457082.5 26.1 152.1 28.91 2457083.5 15.7 115.2 28.89 2457084.5 15.9 34.8 28.88 2457085.5 26.3 358.8 28.87 2457086.5 28.2 339.4 28.85 2457087.5 19.7 313.0 28.84 2457088.5 13.3 241.8 28.83 2457089.5 23.0 187.9 28.82 2457090.5 28.8 166.0 28.81 2457091.5 23.4 144.4 28.80 2457092.5 13.5 92.9 28.79 2457093.5 19.2 20.3 28.78 2457094.5 28.0 352.9 28.77 2457095.5 26.5 333.3 28.76 2457096.5 16.5 298.5 28.75 2457097.5 15.4 219.6 28.74 2457098.5 25.7 180.6 28.73 2457099.5 28.2 160.5 28.72 2457100.5 20.3 134.5 28.72 2457101.5 13.4 66.5 28.71 2457102.5 22.5 10.1 28.70 2457103.5 28.7 347.2 28.70 2457104.5 24.1 325.8 28.69 2457105.5 14.1 277.9 28.69 2457106.5 18.6 203.9 28.68 2457107.5 27.6 174.3 28.68 2457108.5 26.8 154.3 28.67 2457109.5 17.1 120.6 28.67 2457110.5 15.2 43.5 28.66 2457111.5 25.3 2.3 28.66 2457112.5 28.4 341.6 28.66 2457113.5 21.1 316.3 28.65 2457114.5 13.5 252.5 28.65 2457115.5 21.9 192.8 28.65 2457116.5 28.5 168.5 28.65 2457117.5 24.5 146.9 28.65 2457118.5 14.7 101.0 28.65 2457119.5 18.3 26.9 28.65 2457120.5 27.4 355.8 28.65 2457121.5 27.2 335.5 28.65 2457122.5 18.0 303.5 28.65 2457123.5 15.0 229.0 28.65 2457124.5 24.8 184.4 28.65 2457125.5 28.4 162.7 28.65 2457126.5 21.6 137.5 28.66 2457127.5 13.9 76.5 28.66 2457128.5 21.6 15.1 28.66 2457129.5 28.5 349.8 28.66 2457130.5 25.2 328.3 28.67 2457131.5 15.5 285.5 28.67 2457132.5 17.8 211.0 28.68 2457133.5 27.0 177.5 28.68 2457134.5 27.4 156.4 28.69 2457135.5 18.6 125.0 28.69 2457136.5 15.0 52.7 28.70 2457137.5 24.6 6.3 28.71 2457138.5 28.7 344.0 28.71 2457139.5 22.5 319.4 28.72 2457140.5 14.3 262.3 28.73 2457141.5 21.0 198.1 28.73 2457142.5 28.3 171.2 28.74 2457143.5 25.6 149.3 28.75 2457144.5 16.1 107.9 28.76 2457145.5 17.6 34.2 28.77 2457146.5 26.9 359.1 28.78 2457147.5 28.0 337.8 28.79 2457148.5 19.6 307.8 28.80 2457149.5 15.0 238.4 28.81 2457150.5 24.1 188.6 28.82 2457151.5 28.7 165.1 28.83 2457152.5 23.1 140.5 28.84 2457153.5 14.7 85.8 28.85 2457154.5 20.8 20.7 28.87 2457155.5 28.4 352.7 28.88 2457156.5 26.3 330.8 28.89 2457157.5 16.9 291.9 28.91 2457158.5 17.3 218.5 28.92 2457159.5 26.6 180.8 28.93 2457160.5 28.2 158.8 28.95 2457161.5 20.3 129.1 28.96 2457162.5 15.2 62.1 28.98 2457163.5 23.9 10.6 28.99 2457164.5 29.1 346.5 29.01 2457165.5 24.0 322.4 29.02 2457166.5 15.3 271.0 29.04 2457167.5 20.4 203.9 29.05 2457168.5 28.3 174.1 29.07 2457169.5 26.8 151.8 29.09 2457170.5 17.7 114.1 29.11 2457171.5 17.2 42.0 29.12 2457172.5 26.5 2.7 29.14 2457173.5 28.7 340.2 29.16 2457174.5 21.3 311.7 29.18 2457175.5 15.3 247.5 29.20 2457176.5 23.5 193.0 29.21 2457177.5 29.2 167.7 29.23 2457178.5 24.6 143.5 29.25 2457179.5 15.8 94.3 29.27 2457180.5 20.2 26.7 29.29 2457181.5 28.4 355.7 29.31 2457182.5 27.5 333.3 29.33 2457183.5 18.5 297.6 29.35 2457184.5 17.0 226.3 29.37 2457185.5 26.3 184.4 29.39 2457186.5 29.0 161.2 29.42 2457187.5 22.0 133.1 29.44 2457188.5 15.6 71.4 29.46 2457189.5 23.4 15.2 29.48 2457190.5 29.5 349.1 29.50 2457191.5 25.5 325.3 29.52 2457192.5 16.5 278.9 29.55 2457193.5 19.8 209.9 29.57 2457194.5 28.4 177.1 29.59 2457195.5 28.0 154.4 29.62 2457196.5 19.3 119.8 29.64 2457197.5 17.0 50.1 29.66 2457198.5 26.2 6.3 29.69 2457199.5 29.6 342.7 29.71 2457200.5 22.9 315.5 29.73 2457201.5 15.8 256.4 29.76 2457202.5 23.0 197.6 29.78 2457203.5 29.6 170.4 29.81 2457204.5 26.2 146.6 29.83 2457205.5 17.1 102.1 29.85 2457206.5 19.7 32.9 29.88 2457207.5 28.4 358.7 29.90 2457208.5 28.7 335.9 29.93 2457209.5 20.2 302.8 29.95 2457210.5 16.9 234.4 29.98 2457211.5 26.0 188.0 30.00 2457212.5 29.9 163.8 30.03 2457213.5 23.7 137.1 30.05 2457214.5 16.1 80.4 30.08 2457215.5 22.8 19.9 30.10 2457216.5 29.9 351.8 30.13 2457217.5 27.0 328.3 30.15 2457218.5 17.8 286.2 30.18 2457219.5 19.3 216.3 30.21 2457220.5 28.3 180.1 30.23 2457221.5 29.2 157.2 30.26 2457222.5 20.9 125.2 30.28 2457223.5 16.9 58.2 30.31 2457224.5 25.8 9.8 30.33 2457225.5 30.4 345.2 30.36 2457226.5 24.6 319.3 30.38 2457227.5 16.4 265.3 30.41 2457228.5 22.4 202.4 30.43 2457229.5 30.0 173.1 30.46 2457230.5 27.7 149.7 30.49 2457231.5 18.4 109.4 30.51 2457232.5 19.1 39.2 30.54 2457233.5 28.4 1.6 30.56 2457234.5 29.9 338.6 30.59 2457235.5 21.8 308.0 30.61 2457236.5 16.8 242.8 30.64 2457237.5 25.5 191.7 30.66 2457238.5 30.7 166.4 30.68 2457239.5 25.4 141.0 30.71 2457240.5 16.7 89.1 30.73 2457241.5 22.1 24.5 30.76 2457242.5 30.2 354.4 30.78 2457243.5 28.5 331.4 30.81 2457244.5 19.1 293.4 30.83 2457245.5 18.7 223.0 30.85 2457246.5 28.1 183.1 30.88 2457247.5 30.3 159.9 30.90 2457248.5 22.5 130.3 30.92 2457249.5 16.7 66.5 30.95 2457250.5 25.3 13.3 30.97 2457251.5 31.0 347.7 30.99 2457252.5 26.2 323.2 31.01 2457253.5 17.1 274.1 31.04 2457254.5 21.6 207.3 31.06 2457255.5 30.1 175.7 31.08 2457256.5 29.0 152.8 31.10 2457257.5 19.6 116.2 31.12 2457258.5 18.4 45.8 31.14 2457259.5 28.1 4.4 31.16 2457260.5 30.9 341.2 31.18 2457261.5 23.4 313.1 31.20 2457262.5 16.6 251.6 31.22 2457263.5 24.7 195.3 31.24 2457264.5 31.1 169.0 31.26 2457265.5 26.8 144.8 31.28 2457266.5 17.4 97.7 31.30 2457267.5 21.2 29.3 31.31 2457268.5 30.2 356.9 31.33 2457269.5 29.8 334.5 31.35 2457270.5 20.4 300.2 31.37 2457271.5 17.8 230.1 31.38 2457272.5 27.6 185.9 31.40 2457273.5 31.1 162.4 31.41 2457274.5 24.0 135.2 31.43 2457275.5 16.5 75.3 31.45 2457276.5 24.4 16.8 31.46 2457277.5 31.4 350.2 31.47 2457278.5 27.7 326.9 31.49 2457279.5 17.8 282.9 31.50 2457280.5 20.4 212.4 31.51 2457281.5 29.9 178.2 31.53 2457282.5 30.1 155.8 31.54 2457283.5 20.9 122.8 31.55 2457284.5 17.5 52.9 31.56 2457285.5 27.4 7.1 31.57 2457286.5 31.6 343.8 31.58 2457287.5 24.9 317.9 31.59 2457288.5 16.4 261.0 31.60 2457289.5 23.6 198.9 31.61 2457290.5 31.2 171.3 31.62 2457291.5 28.1 148.4 31.63 2457292.5 18.0 106.2 31.63 2457293.5 19.9 34.6 31.64 2457294.5 29.7 359.3 31.65 2457295.5 30.7 337.4 31.65 2457296.5 21.6 306.6 31.66 2457297.5 16.8 237.9 31.66 2457298.5 26.6 188.7 31.67 2457299.5 31.6 164.9 31.67 2457300.5 25.3 139.8 31.68 2457301.5 16.3 84.8 31.68 2457302.5 23.0 20.6 31.68 2457303.5 31.3 352.5 31.68 2457304.5 28.8 330.5 31.69 2457305.5 18.5 291.3 31.69 2457306.5 19.0 217.9 31.69 2457307.5 29.2 180.5 31.69 2457308.5 30.8 158.5 31.69 2457309.5 22.0 128.9 31.69 2457310.5 16.4 61.2 31.68 2457311.5 26.2 10.0 31.68 2457312.5 31.8 346.2 31.68 2457313.5 26.0 322.4 31.68 2457314.5 16.3 270.7 31.67 2457315.5 22.0 202.8 31.67 2457316.5 30.9 173.5 31.66 2457317.5 29.1 151.8 31.66 2457318.5 18.8 114.5 31.65 2457319.5 18.3 40.6 31.65 2457320.5 28.7 1.8 31.64 2457321.5 31.1 340.1 31.63 2457322.5 22.7 312.4 31.63 2457323.5 15.9 246.6 31.62 2457324.5 25.2 191.5 31.61 2457325.5 31.5 167.2 31.60 2457326.5 26.4 144.1 31.59 2457327.5 16.3 94.8 31.58 2457328.5 21.3 24.8 31.57 2457329.5 30.6 354.8 31.56 2457330.5 29.5 333.7 31.55 2457331.5 19.3 298.9 31.54 2457332.5 17.4 224.4 31.52 2457333.5 28.0 182.9 31.51 2457334.5 31.1 161.2 31.50 2457335.5 23.1 134.6 31.49 2457336.5 15.5 70.8 31.47 2457337.5 24.5 13.1 31.46 2457338.5 31.4 348.5 31.44 2457339.5 26.9 326.4 31.43 2457340.5 16.4 280.3 31.41 2457341.5 20.3 207.3 31.39 2457342.5 30.0 175.8 31.38 2457343.5 29.6 154.9 31.36 2457344.5 19.6 122.0 31.34 2457345.5 16.7 47.9 31.33 2457346.5 27.3 4.3 31.31 2457347.5 31.1 342.6 31.29 2457348.5 23.7 317.4 31.27 2457349.5 15.1 256.5 31.25 2457350.5 23.5 194.9 31.23 2457351.5 31.0 169.6 31.21 2457352.5 27.2 147.9 31.19 2457353.5 16.6 104.4 31.17 2457354.5 19.4 29.9 31.15 2457355.5 29.4 357.1 31.13 2457356.5 29.8 336.5 31.11 2457357.5 20.1 305.6 31.09 2457358.5 15.9 232.3 31.07 2457359.5 26.4 185.6 31.04 2457360.5 30.9 163.6 31.02 2457361.5 24.0 139.4 31.00 2457362.5 14.9 81.1 30.98 2457363.5 22.6 16.8 30.95 2457364.5 30.6 350.8 30.93 2457365.5 27.5 329.7 30.91 2457366.5 16.9 289.2 30.88 2457367.5 18.4 213.1 30.86 2457368.5 28.7 178.3 30.83 2457369.5 29.8 157.7 30.81 2457370.5 20.5 128.3 30.78 2457371.5 15.4 56.5 30.76 2457372.5 25.6 7.2 30.73 2457373.5 30.7 344.9 30.71 2457374.5 24.5 321.6 30.68 2457375.5 14.9 266.9 30.66 2457376.5 21.6 199.2 30.63 2457377.5 30.0 172.0 30.61 2457378.5 27.6 151.1 30.58 2457379.5 17.1 112.7 30.56 2457380.5 17.6 36.1 30.53 2457381.5 28.0 359.6 30.51 2457382.5 29.8 339.0 30.48 2457383.5 21.0 311.1 30.45 2457384.5 14.9 241.8 30.43 2457385.5 24.6 189.0 30.40 2457386.5 30.3 166.1 30.38 2457387.5 24.7 143.3 30.35 2457388.5 14.9 91.2 30.32 2457389.5 20.8 21.4 30.30 2457390.5 29.5 353.2 30.27 2457391.5 27.9 332.7 30.24 2457392.5 17.7 296.8 30.22 2457393.5 16.8 220.4 30.19 2457394.5 27.1 181.2 30.17 2457395.5 29.6 160.2 30.14 2457396.5 21.3 133.2 30.11 2457397.5 14.6 66.1 30.09 2457398.5 23.9 10.8 30.06 2457399.5 30.1 347.3 30.04 2457400.5 25.2 325.1 30.01 2457401.5 15.1 276.7 29.99 2457402.5 19.8 204.5 29.96 2457403.5 28.8 174.6 29.93 Time from F p' Elongation d h o 0 00 1.002 346.30 0 05 0.994 341.96 0 10 0.969 337.47 0 15 0.929 332.67 0 20 0.875 327.35 1 01 0.810 321.25 1 06 0.737 314.01 1 11 0.663 305.15 1 16 0.593 294.11 1 21 0.537 280.45 2 02 0.506 264.37 2 07 0.506 247.27 2 12 0.539 231.25 2 17 0.595 217.67 2 22 0.665 206.71 3 03 0.740 197.91 3 08 0.812 190.71 3 13 0.876 184.64 3 18 0.929 179.34 3 23 0.968 174.54 4 04 0.992 170.05 4 09 0.998 165.70 4 14 0.988 161.33 4 19 0.961 156.80 5 00 0.919 151.93 5 05 0.864 146.52 5 10 0.798 140.28 5 15 0.725 132.83 5 20 0.650 123.69 6 01 0.582 112.28 6 06 0.529 98.22 6 11 0.502 81.87 6 16 0.508 64.81 6 21 0.544 49.11 7 02 0.603 35.95 7 07 0.675 25.37 7 12 0.749 16.86 7 17 0.820 9.89 7 22 0.884 3.98 8 03 0.935 358.80 8 08 0.973 354.09 8 13 0.995 349.68 8 18 1.000 345.38 IV Oberon 2015 -------------- Julian Date Angular Separation p a/Delta " o " 2457012.5 23.2 26.6 40.73 2457013.5 33.7 3.3 40.69 2457014.5 40.0 350.1 40.66 2457015.5 39.3 338.8 40.62 2457016.5 32.0 324.7 40.59 2457017.5 21.3 297.9 40.55 2457018.5 17.2 241.2 40.52 2457019.5 26.1 198.2 40.48 2457020.5 35.9 179.2 40.45 2457021.5 40.3 167.0 40.41 2457022.5 37.8 155.5 40.38 2457023.5 29.1 139.4 40.35 2457024.5 18.8 105.7 40.31 2457025.5 18.7 46.2 40.28 2457026.5 28.8 11.9 40.24 2457027.5 37.5 355.7 40.21 2457028.5 40.1 344.1 40.17 2457029.5 35.7 331.9 40.14 2457030.5 26.0 313.0 40.10 2457031.5 17.2 270.6 40.07 2457032.5 20.9 213.9 40.03 2457033.5 31.4 186.7 40.00 2457034.5 38.6 172.4 39.97 2457035.5 39.4 161.0 39.93 2457036.5 33.3 147.8 39.90 2457037.5 23.0 124.8 39.87 2457038.5 16.7 73.7 39.83 2457039.5 23.6 24.4 39.80 2457040.5 33.7 2.3 39.77 2457041.5 39.3 349.3 39.73 2457042.5 38.2 337.9 39.70 2457043.5 30.7 323.2 39.67 2457044.5 20.3 294.6 39.64 2457045.5 17.4 237.3 39.61 2457046.5 26.3 196.9 39.57 2457047.5 35.6 178.4 39.54 2457048.5 39.5 166.3 39.51 2457049.5 36.4 154.3 39.48 2457050.5 27.7 137.2 39.45 2457051.5 18.2 101.1 39.42 2457052.5 19.2 42.9 39.39 2457053.5 29.1 10.9 39.36 2457054.5 37.2 355.0 39.33 2457055.5 39.2 343.3 39.30 2457056.5 34.5 330.7 39.27 2457057.5 24.9 310.5 39.25 2457058.5 17.0 266.0 39.22 2457059.5 21.5 211.8 39.19 2457060.5 31.5 186.0 39.16 2457061.5 38.1 171.7 39.14 2457062.5 38.3 160.1 39.11 2457063.5 32.0 146.1 39.08 2457064.5 22.1 121.3 39.06 2457065.5 17.0 68.9 39.03 2457066.5 24.2 22.9 39.01 2457067.5 33.8 1.8 38.98 2457068.5 38.8 348.7 38.96 2457069.5 37.1 336.8 38.93 2457070.5 29.5 321.1 38.91 2457071.5 19.7 290.5 38.89 2457072.5 18.0 233.7 38.86 2457073.5 26.9 195.9 38.84 2457074.5 35.5 177.9 38.82 2457075.5 38.8 165.5 38.80 2457076.5 35.3 152.9 38.78 2457077.5 26.7 134.5 38.76 2457078.5 18.0 96.2 38.74 2457079.5 20.0 40.5 38.72 2457080.5 29.6 10.4 38.70 2457081.5 37.0 354.6 38.68 2457082.5 38.4 342.5 38.66 2457083.5 33.4 329.0 38.64 2457084.5 24.1 307.2 38.62 2457085.5 17.2 261.1 38.61 2457086.5 22.4 210.2 38.59 2457087.5 31.9 185.5 38.57 2457088.5 37.9 171.2 38.56 2457089.5 37.5 159.0 38.54 2457090.5 31.0 144.0 38.53 2457091.5 21.5 117.2 38.51 2457092.5 17.7 64.9 38.50 2457093.5 25.1 22.1 38.49 2457094.5 34.0 1.5 38.47 2457095.5 38.4 348.1 38.46 2457096.5 36.3 335.6 38.45 2457097.5 28.6 318.6 38.44 2457098.5 19.5 285.6 38.43 2457099.5 19.0 230.5 38.42 2457100.5 27.8 195.3 38.41 2457101.5 35.8 177.5 38.40 2457102.5 38.4 164.7 38.39 2457103.5 34.6 151.3 38.38 2457104.5 26.0 131.4 38.37 2457105.5 18.3 91.4 38.36 2457106.5 21.1 38.8 38.36 2457107.5 30.3 10.1 38.35 2457108.5 37.0 354.2 38.35 2457109.5 37.9 341.6 38.34 2457110.5 32.6 327.1 38.33 2457111.5 23.6 303.4 38.33 2457112.5 17.9 256.2 38.33 2457113.5 23.5 208.9 38.32 2457114.5 32.6 185.1 38.32 2457115.5 37.9 170.6 38.32 2457116.5 37.0 157.8 38.32 2457117.5 30.4 141.6 38.31 2457118.5 21.4 112.9 38.31 2457119.5 18.7 61.4 38.31 2457120.5 26.2 21.5 38.31 2457121.5 34.5 1.2 38.31 2457122.5 38.3 347.4 38.31 2457123.5 35.7 334.1 38.32 2457124.5 28.0 315.6 38.32 2457125.5 19.7 280.5 38.32 2457126.5 20.2 227.8 38.32 2457127.5 28.8 194.8 38.33 2457128.5 36.2 177.1 38.33 2457129.5 38.3 163.8 38.34 2457130.5 34.1 149.6 38.34 2457131.5 25.7 128.2 38.35 2457132.5 18.9 86.7 38.35 2457133.5 22.4 37.2 38.36 2457134.5 31.2 9.8 38.37 2457135.5 37.4 353.7 38.37 2457136.5 37.7 340.4 38.38 2457137.5 32.2 324.9 38.39 2457138.5 23.4 299.3 38.40 2457139.5 18.9 251.8 38.41 2457140.5 24.9 207.9 38.42 2457141.5 33.5 184.8 38.43 2457142.5 38.2 170.0 38.44 2457143.5 36.9 156.5 38.45 2457144.5 30.1 139.2 38.46 2457145.5 21.6 108.6 38.48 2457146.5 19.9 58.1 38.49 2457147.5 27.5 20.8 38.50 2457148.5 35.4 0.8 38.52 2457149.5 38.5 346.6 38.53 2457150.5 35.5 332.5 38.54 2457151.5 27.8 312.6 38.56 2457152.5 20.2 275.8 38.57 2457153.5 21.6 225.5 38.59 2457154.5 30.1 194.4 38.61 2457155.5 37.0 176.7 38.62 2457156.5 38.5 162.9 38.64 2457157.5 34.0 147.8 38.66 2457158.5 25.6 124.8 38.68 2457159.5 19.7 82.3 38.70 2457160.5 23.8 35.6 38.71 2457161.5 32.4 9.2 38.73 2457162.5 38.0 353.1 38.75 2457163.5 37.9 339.2 38.77 2457164.5 32.0 322.7 38.79 2457165.5 23.5 295.3 38.82 2457166.5 20.0 247.9 38.84 2457167.5 26.4 206.8 38.86 2457168.5 34.6 184.4 38.88 2457169.5 38.8 169.3 38.90 2457170.5 37.0 155.1 38.93 2457171.5 30.0 136.6 38.95 2457172.5 21.9 104.2 38.97 2457173.5 21.3 54.9 39.00 2457174.5 28.9 19.8 39.02 2457175.5 36.4 0.1 39.05 2457176.5 39.1 345.7 39.07 2457177.5 35.7 330.9 39.10 2457178.5 27.8 309.7 39.12 2457179.5 20.9 271.6 39.15 2457180.5 23.1 223.4 39.18 2457181.5 31.4 193.7 39.20 2457182.5 37.9 176.1 39.23 2457183.5 38.9 161.9 39.26 2457184.5 34.0 146.0 39.28 2457185.5 25.7 121.4 39.31 2457186.5 20.6 77.9 39.34 2457187.5 25.4 33.7 39.37 2457188.5 33.8 8.4 39.40 2457189.5 39.0 352.3 39.43 2457190.5 38.3 338.0 39.46 2457191.5 32.2 320.6 39.49 2457192.5 23.8 291.8 39.52 2457193.5 21.2 244.5 39.55 2457194.5 27.8 205.5 39.58 2457195.5 35.8 183.6 39.61 2457196.5 39.6 168.4 39.64 2457197.5 37.3 153.7 39.67 2457198.5 30.0 134.1 39.70 2457199.5 22.3 100.0 39.73 2457200.5 22.6 51.7 39.77 2457201.5 30.5 18.5 39.80 2457202.5 37.7 359.3 39.83 2457203.5 39.8 344.7 39.86 2457204.5 36.0 329.3 39.89 2457205.5 28.0 307.1 39.93 2457206.5 21.5 267.7 39.96 2457207.5 24.4 221.0 39.99 2457208.5 32.9 192.6 40.03 2457209.5 39.0 175.2 40.06 2457210.5 39.5 160.7 40.09 2457211.5 34.2 144.1 40.13 2457212.5 25.8 118.2 40.16 2457213.5 21.5 73.8 40.19 2457214.5 26.9 31.6 40.23 2457215.5 35.2 7.4 40.26 2457216.5 40.0 351.3 40.29 2457217.5 38.9 336.8 40.33 2457218.5 32.3 318.7 40.36 2457219.5 24.0 288.4 40.40 2457220.5 22.1 240.9 40.43 2457221.5 29.3 203.7 40.47 2457222.5 37.2 182.5 40.50 2457223.5 40.5 167.3 40.53 2457224.5 37.7 152.3 40.57 2457225.5 30.1 131.9 40.60 2457226.5 22.7 96.3 40.64 2457227.5 23.8 48.7 40.67 2457228.5 31.9 17.0 40.70 2457229.5 38.9 358.3 40.74 2457230.5 40.6 343.7 40.77 2457231.5 36.3 328.0 40.81 2457232.5 28.0 304.7 40.84 2457233.5 21.9 263.9 40.87 2457234.5 25.7 218.3 40.91 2457235.5 34.3 191.0 40.94 2457236.5 40.1 174.0 40.97 2457237.5 40.2 159.5 41.01 2457238.5 34.4 142.5 41.04 2457239.5 25.9 115.4 41.07 2457240.5 22.1 70.2 41.10 2457241.5 28.1 29.4 41.14 2457242.5 36.6 6.1 41.17 2457243.5 41.0 350.3 41.20 2457244.5 39.4 335.7 41.23 2457245.5 32.3 317.0 41.26 2457246.5 24.0 285.2 41.30 2457247.5 22.9 237.2 41.33 2457248.5 30.6 201.5 41.36 2457249.5 38.5 181.1 41.39 2457250.5 41.4 166.2 41.42 2457251.5 38.1 151.1 41.45 2457252.5 30.1 130.0 41.48 2457253.5 22.8 93.1 41.51 2457254.5 24.6 45.6 41.54 2457255.5 33.1 15.2 41.57 2457256.5 40.0 357.1 41.59 2457257.5 41.3 342.6 41.62 2457258.5 36.4 326.7 41.65 2457259.5 27.7 302.6 41.68 2457260.5 22.0 260.0 41.70 2457261.5 26.7 215.2 41.73 2457262.5 35.5 189.2 41.76 2457263.5 41.2 172.7 41.78 2457264.5 40.8 158.4 41.81 2457265.5 34.4 141.2 41.83 2457266.5 25.6 113.2 41.86 2457267.5 22.3 66.6 41.88 2457268.5 29.1 26.8 41.90 2457269.5 37.6 4.4 41.93 2457270.5 41.8 349.1 41.95 2457271.5 39.7 334.6 41.97 2457272.5 32.1 315.5 41.99 2457273.5 23.6 282.3 42.01 2457274.5 23.3 233.3 42.04 2457275.5 31.7 199.0 42.06 2457276.5 39.5 179.6 42.08 2457277.5 42.1 165.1 42.09 2457278.5 38.2 150.1 42.11 2457279.5 29.7 128.6 42.13 2457280.5 22.4 90.0 42.15 2457281.5 25.1 42.3 42.16 2457282.5 34.1 13.1 42.18 2457283.5 40.8 355.6 42.20 2457284.5 41.7 341.5 42.21 2457285.5 36.3 325.6 42.23 2457286.5 27.2 300.7 42.24 2457287.5 21.8 256.2 42.25 2457288.5 27.3 212.0 42.26 2457289.5 36.4 187.3 42.28 2457290.5 41.9 171.5 42.29 2457291.5 41.0 157.5 42.30 2457292.5 34.1 140.3 42.31 2457293.5 24.9 111.1 42.32 2457294.5 22.2 62.7 42.33 2457295.5 29.7 23.9 42.33 2457296.5 38.4 2.6 42.34 2457297.5 42.3 347.8 42.35 2457298.5 39.6 333.6 42.36 2457299.5 31.5 314.3 42.36 2457300.5 22.9 279.6 42.37 2457301.5 23.4 229.6 42.37 2457302.5 32.3 196.6 42.37 2457303.5 40.1 178.1 42.38 2457304.5 42.3 164.1 42.38 2457305.5 37.9 149.3 42.38 2457306.5 28.9 127.4 42.38 2457307.5 21.7 86.8 42.38 2457308.5 25.2 38.6 42.38 2457309.5 34.6 10.7 42.38 2457310.5 41.3 354.1 42.38 2457311.5 41.7 340.5 42.37 2457312.5 35.7 324.7 42.37 2457313.5 26.2 299.1 42.37 2457314.5 21.2 252.5 42.36 2457315.5 27.5 208.8 42.36 2457316.5 36.9 185.3 42.35 2457317.5 42.0 170.3 42.34 2457318.5 40.6 156.6 42.33 2457319.5 33.2 139.3 42.33 2457320.5 23.8 108.9 42.32 2457321.5 21.8 58.5 42.31 2457322.5 30.0 20.9 42.30 2457323.5 38.8 0.8 42.29 2457324.5 42.3 346.7 42.28 2457325.5 39.1 332.8 42.26 2457326.5 30.5 313.4 42.25 2457327.5 21.9 277.1 42.24 2457328.5 23.2 225.8 42.22 2457329.5 32.5 194.2 42.21 2457330.5 40.2 176.6 42.19 2457331.5 42.0 163.1 42.18 2457332.5 37.1 148.5 42.16 2457333.5 27.7 126.0 42.14 2457334.5 20.8 83.2 42.13 2457335.5 25.2 34.9 42.11 2457336.5 34.9 8.5 42.09 2457337.5 41.2 352.8 42.07 2457338.5 41.2 339.6 42.05 2457339.5 34.7 323.9 42.03 2457340.5 25.0 297.5 42.01 2457341.5 20.5 248.8 41.99 2457342.5 27.5 205.8 41.97 2457343.5 36.9 183.5 41.94 2457344.5 41.7 169.1 41.92 2457345.5 39.8 155.7 41.90 2457346.5 32.0 138.3 41.87 2457347.5 22.6 106.4 41.85 2457348.5 21.4 54.4 41.82 2457349.5 30.1 18.2 41.80 2457350.5 38.7 359.2 41.77 2457351.5 41.8 345.7 41.74 2457352.5 38.1 332.0 41.72 2457353.5 29.3 312.3 41.69 2457354.5 20.8 274.2 41.66 2457355.5 22.9 222.2 41.63 2457356.5 32.5 192.0 41.61 2457357.5 39.9 175.2 41.58 2457358.5 41.2 162.1 41.55 2457359.5 35.8 147.5 41.52 2457360.5 26.3 124.3 41.49 2457361.5 19.9 79.3 41.46 2457362.5 25.2 31.7 41.43 2457363.5 34.8 6.7 41.40 2457364.5 40.8 351.7 41.36 2457365.5 40.2 338.7 41.33 2457366.5 33.4 322.9 41.30 2457367.5 23.7 295.4 41.27 2457368.5 19.9 244.7 41.24 2457369.5 27.5 203.1 41.20 2457370.5 36.7 182.0 41.17 2457371.5 41.0 168.0 41.14 2457372.5 38.7 154.8 41.11 2457373.5 30.6 137.0 41.07 2457374.5 21.4 103.5 41.04 2457375.5 21.1 50.7 41.00 2457376.5 30.1 16.2 40.97 2457377.5 38.3 358.1 40.94 2457378.5 40.9 344.8 40.90 2457379.5 36.8 331.1 40.87 2457380.5 27.8 310.7 40.83 2457381.5 19.9 270.6 40.80 2457382.5 22.8 218.9 40.76 2457383.5 32.4 190.2 40.73 2457384.5 39.4 174.1 40.69 2457385.5 40.1 161.1 40.66 2457386.5 34.5 146.3 40.62 2457387.5 25.0 122.2 40.59 2457388.5 19.4 75.4 40.55 2457389.5 25.2 29.2 40.52 2457390.5 34.6 5.5 40.48 2457391.5 40.0 350.8 40.45 2457392.5 39.0 337.8 40.42 2457393.5 32.0 321.5 40.38 2457394.5 22.5 292.5 40.35 2457395.5 19.7 240.7 40.31 2457396.5 27.7 201.0 40.28 2457397.5 36.4 180.8 40.24 2457398.5 40.2 167.1 40.21 2457399.5 37.4 153.7 40.17 2457400.5 29.3 135.3 40.14 2457401.5 20.6 100.2 40.10 2457402.5 21.2 47.7 40.07 2457403.5 30.1 14.8 40.04 Time from F p' Elongation d h o 0 00 0.999 346.42 0 08 0.990 341.91 0 16 0.964 337.23 1 00 0.921 332.20 1 08 0.863 326.59 1 16 0.794 320.08 2 00 0.718 312.26 2 08 0.642 302.56 2 16 0.572 290.36 3 00 0.522 275.31 3 08 0.501 258.04 3 16 0.515 240.54 4 00 0.561 224.95 4 08 0.627 212.20 4 16 0.703 202.07 5 00 0.780 193.93 5 08 0.851 187.22 5 16 0.911 181.48 6 00 0.957 176.38 6 08 0.987 171.68 6 16 0.999 167.18 7 00 0.994 162.71 7 08 0.971 158.12 7 16 0.930 153.22 8 00 0.875 147.78 8 08 0.808 141.51 8 16 0.732 134.03 9 00 0.655 124.78 9 08 0.583 113.12 9 16 0.527 98.57 10 00 0.499 81.51 10 08 0.506 63.73 10 16 0.547 47.56 11 00 0.611 34.20 11 08 0.687 23.59 11 16 0.765 15.14 12 00 0.838 8.22 12 08 0.901 2.34 12 16 0.951 357.17 13 00 0.985 352.44 13 08 1.001 347.95 13 16 1.000 343.53 V Miranda 2015 -------------- Julian Date Angular Separation p a/Delta " o " 2457012.5 4.7 117.8 9.06 2457013.5 7.5 177.6 9.06 2457014.5 7.5 325.0 9.05 2457015.5 4.6 25.2 9.04 2457016.5 9.0 158.6 9.03 2457017.5 3.7 273.5 9.03 2457018.5 8.3 351.0 9.02 2457019.5 6.3 136.1 9.01 2457020.5 5.9 189.8 9.00 2457021.5 8.5 333.4 9.00 2457022.5 3.5 59.8 8.99 2457023.5 8.8 165.3 8.98 2457024.5 5.0 303.4 8.97 2457025.5 7.1 0.1 8.96 2457026.5 7.7 147.0 8.96 2457027.5 4.3 211.4 8.95 2457028.5 8.9 340.3 8.94 2457029.5 3.9 101.8 8.93 2457030.5 8.0 172.8 8.93 2457031.5 6.6 319.2 8.92 2457032.5 5.5 13.8 8.91 2457033.5 8.6 154.9 8.90 2457034.5 3.4 250.2 8.90 2457035.5 8.6 347.1 8.89 2457036.5 5.4 127.5 8.88 2457037.5 6.7 182.7 8.87 2457038.5 7.9 329.1 8.87 2457039.5 4.0 38.8 8.86 2457040.5 8.8 161.8 8.85 2457041.5 4.2 289.4 8.84 2457042.5 7.7 355.0 8.84 2457043.5 6.9 141.6 8.83 2457044.5 5.0 198.4 8.82 2457045.5 8.7 336.6 8.82 2457046.5 3.5 80.1 8.81 2457047.5 8.4 168.8 8.80 2457048.5 5.7 311.4 8.79 2457049.5 6.3 5.9 8.79 2457050.5 8.1 150.8 8.78 2457051.5 3.7 227.4 8.77 2457052.5 8.7 343.5 8.77 2457053.5 4.5 115.2 8.76 2457054.5 7.4 177.2 8.75 2457055.5 7.2 323.9 8.75 2457056.5 4.7 23.9 8.74 2457057.5 8.7 158.1 8.73 2457058.5 3.6 269.7 8.73 2457059.5 8.1 350.8 8.72 2457060.5 6.0 134.4 8.72 2457061.5 5.9 189.4 8.71 2457062.5 8.2 332.6 8.70 2457063.5 3.6 56.6 8.70 2457064.5 8.6 165.0 8.69 2457065.5 4.8 300.5 8.69 2457066.5 7.0 359.9 8.68 2457067.5 7.4 145.8 8.68 2457068.5 4.4 210.2 8.67 2457069.5 8.6 339.8 8.67 2457070.5 3.8 97.7 8.66 2457071.5 7.9 172.8 8.65 2457072.5 6.3 317.3 8.65 2457073.5 5.5 13.6 8.64 2457074.5 8.3 154.1 8.64 2457075.5 3.5 246.3 8.64 2457076.5 8.4 346.9 8.63 2457077.5 5.1 124.5 8.63 2457078.5 6.7 182.8 8.62 2457079.5 7.6 327.9 8.62 2457080.5 4.1 37.3 8.61 2457081.5 8.6 161.3 8.61 2457082.5 4.1 284.9 8.60 2457083.5 7.6 355.1 8.60 2457084.5 6.6 139.5 8.60 2457085.5 5.2 198.2 8.59 2457086.5 8.4 335.9 8.59 2457087.5 3.6 75.5 8.59 2457088.5 8.3 168.7 8.58 2457089.5 5.5 308.4 8.58 2457090.5 6.4 6.1 8.58 2457091.5 7.8 149.5 8.57 2457092.5 3.9 225.1 8.57 2457093.5 8.6 343.1 8.57 2457094.5 4.4 110.6 8.56 2457095.5 7.4 177.5 8.56 2457096.5 6.9 321.9 8.56 2457097.5 4.9 23.6 8.56 2457098.5 8.4 157.4 8.55 2457099.5 3.7 264.4 8.55 2457100.5 8.1 350.8 8.55 2457101.5 5.8 131.3 8.55 2457102.5 6.0 189.7 8.54 2457103.5 8.0 331.3 8.54 2457104.5 3.8 53.4 8.54 2457105.5 8.5 164.8 8.54 2457106.5 4.7 296.0 8.54 2457107.5 7.1 0.3 8.54 2457108.5 7.2 143.8 8.53 2457109.5 4.6 209.3 8.53 2457110.5 8.5 339.1 8.53 2457111.5 3.9 91.9 8.53 2457112.5 7.9 172.9 8.53 2457113.5 6.2 314.3 8.53 2457114.5 5.8 13.8 8.53 2457115.5 8.1 152.9 8.53 2457116.5 3.8 242.0 8.53 2457117.5 8.4 346.7 8.53 2457118.5 5.0 120.0 8.53 2457119.5 6.8 183.1 8.53 2457120.5 7.4 325.9 8.53 2457121.5 4.4 35.7 8.53 2457122.5 8.5 160.7 8.53 2457123.5 4.1 279.1 8.53 2457124.5 7.7 355.3 8.53 2457125.5 6.5 136.5 8.53 2457126.5 5.5 198.1 8.53 2457127.5 8.3 334.7 8.53 2457128.5 3.8 70.2 8.53 2457129.5 8.3 168.5 8.53 2457130.5 5.4 304.0 8.53 2457131.5 6.6 6.4 8.53 2457132.5 7.7 147.5 8.54 2457133.5 4.3 222.6 8.54 2457134.5 8.5 342.5 8.54 2457135.5 4.4 104.7 8.54 2457136.5 7.5 177.6 8.54 2457137.5 6.8 319.1 8.54 2457138.5 5.3 22.9 8.55 2457139.5 8.4 156.2 8.55 2457140.5 3.9 258.3 8.55 2457141.5 8.2 350.6 8.55 2457142.5 5.7 127.1 8.56 2457143.5 6.4 189.6 8.56 2457144.5 7.9 329.5 8.56 2457145.5 4.2 49.7 8.56 2457146.5 8.5 164.1 8.57 2457147.5 4.7 290.2 8.57 2457148.5 7.4 0.2 8.57 2457149.5 7.1 141.1 8.58 2457150.5 5.1 208.0 8.58 2457151.5 8.5 338.0 8.58 2457152.5 4.1 85.3 8.59 2457153.5 8.1 172.6 8.59 2457154.5 6.1 310.3 8.59 2457155.5 6.2 13.4 8.60 2457156.5 8.1 151.1 8.60 2457157.5 4.1 237.2 8.60 2457158.5 8.5 346.1 8.61 2457159.5 5.0 114.5 8.61 2457160.5 7.2 182.9 8.62 2457161.5 7.4 323.3 8.62 2457162.5 4.9 33.5 8.63 2457163.5 8.6 159.6 8.63 2457164.5 4.3 272.3 8.63 2457165.5 8.0 354.9 8.64 2457166.5 6.4 132.9 8.64 2457167.5 5.9 197.1 8.65 2457168.5 8.3 333.0 8.65 2457169.5 4.2 64.3 8.66 2457170.5 8.5 167.8 8.66 2457171.5 5.4 298.9 8.67 2457172.5 7.0 5.8 8.67 2457173.5 7.6 145.2 8.68 2457174.5 4.8 219.3 8.69 2457175.5 8.7 341.4 8.69 2457176.5 4.5 98.1 8.70 2457177.5 7.9 177.0 8.70 2457178.5 6.7 315.7 8.71 2457179.5 5.8 21.3 8.71 2457180.5 8.5 154.6 8.72 2457181.5 4.2 251.6 8.73 2457182.5 8.5 349.9 8.73 2457183.5 5.7 122.4 8.74 2457184.5 6.8 188.7 8.74 2457185.5 7.9 327.3 8.75 2457186.5 4.7 45.3 8.76 2457187.5 8.8 163.0 8.76 2457188.5 4.8 284.0 8.77 2457189.5 7.8 359.4 8.78 2457190.5 7.1 138.0 8.78 2457191.5 5.6 205.6 8.79 2457192.5 8.6 336.5 8.80 2457193.5 4.3 78.4 8.80 2457194.5 8.5 171.7 8.81 2457195.5 6.1 306.2 8.82 2457196.5 6.7 11.9 8.82 2457197.5 8.2 149.0 8.83 2457198.5 4.6 231.7 8.84 2457199.5 8.8 344.9 8.84 2457200.5 5.1 108.8 8.85 2457201.5 7.7 181.7 8.86 2457202.5 7.4 320.6 8.86 2457203.5 5.4 30.2 8.87 2457204.5 8.8 158.1 8.88 2457205.5 4.5 265.4 8.89 2457206.5 8.4 353.7 8.89 2457207.5 6.4 129.1 8.90 2457208.5 6.5 195.1 8.91 2457209.5 8.4 331.1 8.92 2457210.5 4.5 58.0 8.92 2457211.5 8.9 166.6 8.93 2457212.5 5.4 293.8 8.94 2457213.5 7.5 4.3 8.95 2457214.5 7.7 142.7 8.95 2457215.5 5.2 215.1 8.96 2457216.5 8.9 340.0 8.97 2457217.5 4.6 91.5 8.98 2457218.5 8.4 175.6 8.98 2457219.5 6.7 312.4 8.99 2457220.5 6.3 18.6 9.00 2457221.5 8.6 152.8 9.01 2457222.5 4.5 245.0 9.01 2457223.5 8.9 348.5 9.02 2457224.5 5.7 117.9 9.03 2457225.5 7.4 186.7 9.04 2457226.5 8.0 325.1 9.04 2457227.5 5.1 40.3 9.05 2457228.5 9.0 161.6 9.06 2457229.5 4.8 278.0 9.07 2457230.5 8.3 357.8 9.07 2457231.5 7.1 135.1 9.08 2457232.5 6.1 202.2 9.09 2457233.5 8.8 334.8 9.10 2457234.5 4.5 71.5 9.10 2457235.5 8.9 170.1 9.11 2457236.5 6.0 302.3 9.12 2457237.5 7.2 9.4 9.13 2457238.5 8.3 147.1 9.13 2457239.5 4.9 225.9 9.14 2457240.5 9.2 343.4 9.15 2457241.5 5.1 103.5 9.16 2457242.5 8.1 179.7 9.16 2457243.5 7.4 318.1 9.17 2457244.5 5.9 26.0 9.18 2457245.5 9.0 156.5 9.18 2457246.5 4.5 258.7 9.19 2457247.5 8.9 352.0 9.20 2457248.5 6.3 125.9 9.20 2457249.5 7.0 192.1 9.21 2457250.5 8.5 329.4 9.22 2457251.5 4.8 51.7 9.23 2457252.5 9.2 165.0 9.23 2457253.5 5.3 289.3 9.24 2457254.5 8.0 1.9 9.24 2457255.5 7.7 140.6 9.25 2457256.5 5.6 210.2 9.26 2457257.5 9.2 338.4 9.26 2457258.5 4.6 85.4 9.27 2457259.5 8.8 173.7 9.28 2457260.5 6.7 309.8 9.28 2457261.5 6.7 15.0 9.29 2457262.5 8.7 151.2 9.29 2457263.5 4.6 238.3 9.30 2457264.5 9.2 346.8 9.31 2457265.5 5.6 114.2 9.31 2457266.5 7.8 184.0 9.32 2457267.5 8.0 323.4 9.32 2457268.5 5.4 34.8 9.33 2457269.5 9.3 160.0 9.33 2457270.5 4.7 272.6 9.34 2457271.5 8.7 355.6 9.34 2457272.5 7.0 133.1 9.35 2457273.5 6.4 198.1 9.35 2457274.5 9.0 333.4 9.36 2457275.5 4.5 65.0 9.36 2457276.5 9.2 168.3 9.36 2457277.5 5.8 299.5 9.37 2457278.5 7.6 6.3 9.37 2457279.5 8.3 145.7 9.38 2457280.5 5.1 219.9 9.38 2457281.5 9.4 341.9 9.38 2457282.5 4.9 99.0 9.39 2457283.5 8.5 177.3 9.39 2457284.5 7.3 316.6 9.39 2457285.5 6.2 21.5 9.40 2457286.5 9.1 155.2 9.40 2457287.5 4.5 252.7 9.40 2457288.5 9.2 350.1 9.41 2457289.5 6.1 123.8 9.41 2457290.5 7.3 188.6 9.41 2457291.5 8.5 328.2 9.41 2457292.5 4.9 45.5 9.42 2457293.5 9.4 163.5 9.42 2457294.5 5.1 286.0 9.42 2457295.5 8.3 359.3 9.42 2457296.5 7.6 139.4 9.42 2457297.5 5.8 205.2 9.43 2457298.5 9.3 337.2 9.43 2457299.5 4.4 80.1 9.43 2457300.5 9.0 171.7 9.43 2457301.5 6.4 308.3 9.43 2457302.5 7.0 11.3 9.43 2457303.5 8.7 150.3 9.43 2457304.5 4.6 232.2 9.43 2457305.5 9.4 345.2 9.43 2457306.5 5.3 111.8 9.43 2457307.5 8.0 181.2 9.43 2457308.5 7.9 322.5 9.43 2457309.5 5.5 29.4 9.43 2457310.5 9.4 158.9 9.43 2457311.5 4.5 268.4 9.43 2457312.5 8.9 353.5 9.43 2457313.5 6.7 132.1 9.43 2457314.5 6.6 194.0 9.43 2457315.5 8.9 332.5 9.43 2457316.5 4.4 59.2 9.43 2457317.5 9.3 166.8 9.42 2457318.5 5.5 297.8 9.42 2457319.5 7.7 3.3 9.42 2457320.5 8.1 145.0 9.42 2457321.5 5.1 214.5 9.42 2457322.5 9.4 340.7 9.41 2457323.5 4.5 95.9 9.41 2457324.5 8.6 175.1 9.41 2457325.5 7.0 315.9 9.41 2457326.5 6.2 17.3 9.40 2457327.5 9.0 154.4 9.40 2457328.5 4.2 247.6 9.40 2457329.5 9.2 348.5 9.39 2457330.5 5.8 122.8 9.39 2457331.5 7.4 185.6 9.39 2457332.5 8.3 327.6 9.38 2457333.5 4.8 40.2 9.38 2457334.5 9.4 162.3 9.38 2457335.5 4.7 283.7 9.37 2457336.5 8.4 357.1 9.37 2457337.5 7.3 139.0 9.36 2457338.5 5.8 201.0 9.36 2457339.5 9.1 336.5 9.35 2457340.5 4.1 75.9 9.35 2457341.5 9.0 170.1 9.35 2457342.5 6.1 307.7 9.34 2457343.5 7.0 8.2 9.34 2457344.5 8.5 149.8 9.33 2457345.5 4.4 227.1 9.32 2457346.5 9.3 344.1 9.32 2457347.5 4.9 110.3 9.31 2457348.5 8.0 179.0 9.31 2457349.5 7.6 322.2 9.30 2457350.5 5.4 25.3 9.30 2457351.5 9.2 158.2 9.29 2457352.5 4.1 265.0 9.29 2457353.5 8.8 352.0 9.28 2457354.5 6.3 131.6 9.27 2457355.5 6.6 191.1 9.27 2457356.5 8.7 332.1 9.26 2457357.5 4.2 54.6 9.25 2457358.5 9.2 165.7 9.25 2457359.5 5.1 296.8 9.24 2457360.5 7.7 1.3 9.23 2457361.5 7.8 144.7 9.23 2457362.5 5.0 210.5 9.22 2457363.5 9.2 340.1 9.21 2457364.5 4.2 93.3 9.21 2457365.5 8.5 173.7 9.20 2457366.5 6.7 315.6 9.19 2457367.5 6.2 14.5 9.19 2457368.5 8.7 153.9 9.18 2457369.5 4.0 243.5 9.17 2457370.5 9.0 347.6 9.16 2457371.5 5.4 121.9 9.16 2457372.5 7.3 183.7 9.15 2457373.5 8.0 327.3 9.14 2457374.5 4.6 36.5 9.13 2457375.5 9.1 161.7 9.13 2457376.5 4.3 281.8 9.12 2457377.5 8.2 355.8 9.11 2457378.5 6.9 138.6 9.10 2457379.5 5.7 198.4 9.10 2457380.5 8.8 336.0 9.09 2457381.5 3.9 72.3 9.08 2457382.5 8.8 169.3 9.07 2457383.5 5.7 306.9 9.07 2457384.5 6.9 6.5 9.06 2457385.5 8.1 149.4 9.05 2457386.5 4.3 223.7 9.04 2457387.5 9.0 343.5 9.03 2457388.5 4.6 108.5 9.03 2457389.5 7.9 177.9 9.02 2457390.5 7.2 321.6 9.01 2457391.5 5.3 23.0 9.00 2457392.5 8.8 157.7 9.00 2457393.5 3.9 262.1 8.99 2457394.5 8.6 351.2 8.98 2457395.5 6.0 130.7 8.97 2457396.5 6.5 189.7 8.96 2457397.5 8.3 331.6 8.96 2457398.5 4.1 51.5 8.95 2457399.5 8.9 165.2 8.94 2457400.5 4.8 295.2 8.93 2457401.5 7.5 0.5 8.93 2457402.5 7.4 144.2 8.92 2457403.5 4.9 209.0 8.91 Time from F p' Elongation d h o 0 0 1.001 342.69 0 1 0.987 337.76 0 2 0.948 332.55 0 3 0.884 326.74 0 4 0.801 319.86 0 5 0.705 311.22 0 6 0.606 299.77 0 7 0.520 284.15 0 8 0.467 263.69 0 9 0.468 240.85 0 10 0.522 220.53 0 11 0.609 205.05 0 12 0.708 193.71 0 13 0.804 185.14 0 14 0.886 178.30 0 15 0.948 172.50 0 16 0.987 167.31 0 17 0.999 162.37 0 18 0.984 157.43 0 19 0.943 152.19 0 20 0.879 146.33 0 21 0.796 139.37 0 22 0.700 130.62 0 23 0.601 118.99 1 00 0.516 103.14 1 01 0.466 82.53 1 02 0.470 59.79 1 03 0.526 39.76 1 04 0.614 24.55 1 05 0.713 13.38 1 06 0.808 4.93 1 07 0.890 358.16 1 08 0.952 352.41 1 09 0.989 347.24 1 10 1.001 342.33 1 11 0.986 337.40