The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 10EL139 # Created Thu May 24 01:37:52 2012 # Orbit generated from Bernstein formalism # Fitting 97 observations of 102 # Arc: 1.07y # First observation: 2010/03/12 # Last observation: 2011/04/05 Preliminary a, adot, b, bdot, g, gdot: -0.000090 0.028541 -0.000001 -0.007342 0.027456 0.000000 # Chi-squared of fit: 64.93 DOF: 188 RMS: 0.14 # Min/Max residuals: -0.92 0.40 # Exact a, adot, b, bdot, g, gdot: 1.504081E-05 2.847800E-02 -3.812517E-06 -7.330566E-03 2.765373E-02 1.226278E-03 # Covariance matrix: 3.1644E-13 4.2046E-13 2.6134E-14 -2.2638E-13 5.4803E-13 2.6096E-11 4.2046E-13 2.6463E-12 1.1062E-13 -9.7869E-13 1.8134E-12 1.1188E-10 2.6134E-14 1.1062E-13 1.3105E-13 -1.6791E-13 8.4499E-14 4.9887E-12 -2.2638E-13 -9.7869E-13 -1.6791E-13 5.2395E-13 -7.3722E-13 -4.4015E-11 5.4803E-13 1.8134E-12 8.4499E-14 -7.3722E-13 1.6412E-12 8.4741E-11 2.6096E-11 1.1188E-10 4.9887E-12 -4.4015E-11 8.4741E-11 5.0369E-09 # lat0 lon0 xBary yBary zBary JD0 -18.303142 -158.597434 0.501681 -0.270893 -0.819007 2455267.671806 # Heliocentric elements and errors Epoch: 2455260.5000 = 2010/03/05 Mean Anomaly: 22.18994 +/- 1.789 Argument of Peri: 206.55734 +/- 2.066 Long of Asc Node: 331.18694 +/- 0.002 Inclination: 23.02231 +/- 0.001 Eccentricity: 0.06338956 +/- 0.0011 Semi-Major Axis: 39.26149684 +/- 0.0072 Time of Perihelion: 2449721.8704 +/- 446.6 Perihelion: 36.77272778 +/- 0.0454 Aphelion: 41.75026590 +/- 0.0455 Period (y) 246.0132 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -32.94651895 +/- 0.0015 Ecliptic Y -12.37911428 +/- 0.0006 Ecliptic Z -11.35647309 +/- 0.0005 Ecliptic XDOT 0.00113606 +/- 0.0000 Ecliptic YDOT -0.00257808 +/- 0.0000 Ecliptic ZDOT -0.00072722 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.98222630 +/- 0.0013 Geocenter to KBO 36.16148864 +/- 0.0017 # Hcoef: 5.09
The following table shows the complete astrometric record for 10EL139. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (10EL139) followed by the observatory code and reference code for the source of the astrometry.
2010 03 12.17104 12 49 15.247 -25 12 37.26 20.4R 10EL139 304 C~0FoE 2010 03 12.21488 12 49 15.017 -25 12 36.75 20.2R 10EL139 304 C~0FoE 2010 03 12.25917 12 49 14.786 -25 12 36.52 10EL139 304 C~0FoE 2010 04 04.10500 12 47 07.634 -25 05 40.34 20.7R 10EL139 304 C~0FoE 2010 04 04.15509 12 47 07.343 -25 05 39.22 10EL139 304 C~0FoE 2010 04 04.21157 12 47 07.019 -25 05 37.70 10EL139 304 C~0FoE 2010 04 08.44201 12 46 42.91 -25 03 43.9 20.5R 10EL139 E85 C~0GDn 2010 04 08.45285 12 46 42.86 -25 03 43.5 20.6R 10EL139 E85 C~0GDn 2010 04 09.49880 12 46 37.03 -25 03 14.3 19.1R 10EL139 E85 C~0FoE 2010 04 09.52878 12 46 36.74 -25 03 12.7 21.0R 10EL139 E85 C~0FoE 2010 04 13.99831 12 46 11.503 -25 00 59.04 20.5R 10EL139 809 C~0GDn 2010 04 14.08329 12 46 11.005 -25 00 56.84 20.7R 10EL139 809 C~0GDn 2010 04 14.16777 12 46 10.503 -25 00 54.21 20.7R 10EL139 809 C~0GDn 2010 04 15.07846 12 46 05.395 -25 00 25.41 10EL139 809 C~0GDn 2010 04 15.16263 12 46 04.975 -25 00 23.65 10EL139 809 C~0GDn 2010 06 09.00297 12 42 26.561 -24 27 14.76 10EL139 807 C~0JAz 2010 06 09.03303 12 42 26.510 -24 27 13.70 10EL139 807 C~0JAz 2010 06 09.05605 12 42 26.453 -24 27 13.09 10EL139 807 C~0JAz 2011 03 09.10123 12 55 23.33 -26 15 30.6 20.7R 10EL139 304 C~0U0w 2011 03 09.10550 12 55 23.31 -26 15 30.6 10EL139 304 C~0U0w 2011 03 09.10976 12 55 23.28 -26 15 30.6 10EL139 304 C~0U0w 2011 03 09.20900 12 55 22.78 -26 15 30.0 10EL139 304 C~0U0w 2011 03 09.21328 12 55 22.75 -26 15 30.0 10EL139 304 C~0U0w 2011 03 09.23053 12 55 22.67 -26 15 29.9 10EL139 304 C~0U0w 2011 03 09.24789 12 55 22.58 -26 15 29.8 10EL139 304 C~0U0w 2011 03 09.25216 12 55 22.57 -26 15 29.9 10EL139 304 C~0U0w 2011 03 09.33380 12 55 22.14 -26 15 29.3 10EL139 304 C~0U0w 2011 03 09.33807 12 55 22.11 -26 15 29.4 10EL139 304 C~0U0w 2011 03 09.37174 12 55 21.95 -26 15 29.1 10EL139 304 C~0U0w 2011 03 09.37602 12 55 21.92 -26 15 29.0 10EL139 304 C~0U0w 2011 03 10.08839 12 55 18.34 -26 15 24.9 10EL139 304 C~0U0w 2011 03 10.09266 12 55 18.33 -26 15 24.8 10EL139 304 C~0U0w 2011 03 10.09693 12 55 18.31 -26 15 24.8 10EL139 304 C~0U0w 2011 03 10.17347 12 55 17.92 -26 15 24.4 10EL139 304 C~0U0w 2011 03 10.17774 12 55 17.90 -26 15 24.3 10EL139 304 C~0U0w 2011 03 10.18204 12 55 17.87 -26 15 24.3 10EL139 304 C~0U0w 2011 03 10.20890 12 55 17.724 -26 15 24.55 20.1R 10EL139 304 C~0TsE 2011 03 10.23169 12 55 17.61 -26 15 24.0 10EL139 304 C~0U0w 2011 03 10.23596 12 55 17.59 -26 15 24.0 10EL139 304 C~0U0w 2011 03 10.24023 12 55 17.57 -26 15 24.0 10EL139 304 C~0U0w 2011 03 10.26245 12 55 17.443 -26 15 24.30 10EL139 304 C~0TsE 2011 03 10.31699 12 55 17.155 -26 15 24.04 10EL139 304 C~0TsE 2011 03 10.35817 12 55 16.97 -26 15 23.2 10EL139 304 C~0U0w 2011 03 10.36245 12 55 16.94 -26 15 23.2 10EL139 304 C~0U0w 2011 03 10.36678 12 55 16.92 -26 15 23.1 10EL139 304 C~0U0w 2011 03 12.09383 12 55 08.10 -26 15 10.8 10EL139 304 C~0U0w 2011 03 12.09811 12 55 08.07 -26 15 10.8 10EL139 304 C~0U0w 2011 03 12.10240 12 55 08.05 -26 15 10.8 10EL139 304 C~0U0w 2011 03 12.14654 12 55 07.82 -26 15 10.4 10EL139 304 C~0U0w 2011 03 12.15081 12 55 07.79 -26 15 10.4 10EL139 304 C~0U0w 2011 03 12.15509 12 55 07.77 -26 15 10.3 10EL139 304 C~0U0w 2011 03 12.20524 12 55 07.51 -26 15 09.9 10EL139 304 C~0U0w 2011 03 12.20953 12 55 07.48 -26 15 09.9 10EL139 304 C~0U0w 2011 03 12.32192 12 55 06.89 -26 15 09.0 10EL139 304 C~0U0w 2011 03 12.32620 12 55 06.86 -26 15 09.0 10EL139 304 C~0U0w 2011 03 12.35122 12 55 06.74 -26 15 08.8 10EL139 304 C~0U0w 2011 03 12.35547 12 55 06.71 -26 15 08.8 10EL139 304 C~0U0w 2011 03 12.35976 12 55 06.69 -26 15 08.7 10EL139 304 C~0U0w 2011 03 13.16831 12 55 02.496 -26 15 02.23 20.2R 10EL139 304 C~0TsE 2011 03 13.22365 12 55 02.204 -26 15 01.68 10EL139 304 C~0TsE 2011 03 13.27533 12 55 01.931 -26 15 01.16 10EL139 304 C~0TsE 2011 03 31.09887 12 53 23.23 -26 10 23.8 20.7R 10EL139 304 C~0VoM 2011 03 31.10315 12 53 23.20 -26 10 23.7 10EL139 304 C~0VoM 2011 03 31.10742 12 53 23.17 -26 10 23.6 10EL139 304 C~0VoM 2011 03 31.12705 12 53 23.06 -26 10 23.2 10EL139 304 C~0VoM 2011 03 31.13132 12 53 23.03 -26 10 23.1 10EL139 304 C~0VoM 2011 03 31.13559 12 53 23.01 -26 10 23.0 10EL139 304 C~0VoM 2011 03 31.25255 12 53 22.33 -26 10 20.5 10EL139 304 C~0VoM 2011 03 31.25681 12 53 22.30 -26 10 20.4 10EL139 304 C~0VoM 2011 04 04.00201 12 53 00.76 -26 08 53.3 10EL139 304 C~0VoM 2011 04 04.00627 12 53 00.73 -26 08 53.2 10EL139 304 C~0VoM 2011 04 04.01058 12 53 00.71 -26 08 53.1 10EL139 304 C~0VoM 2011 04 04.04175 12 53 00.53 -26 08 52.4 10EL139 304 C~0VoM 2011 04 04.04532 12 53 00.51 -26 08 52.2 10EL139 304 C~0VoM 2011 04 04.04892 12 53 00.49 -26 08 52.2 10EL139 304 C~0VoM 2011 04 04.08969 12 53 00.25 -26 08 51.2 10EL139 304 C~0VoM 2011 04 04.09325 12 53 00.23 -26 08 51.1 10EL139 304 C~0VoM 2011 04 04.09683 12 53 00.21 -26 08 51.0 10EL139 304 C~0VoM 2011 04 04.28027 12 52 59.12 -26 08 46.4 10EL139 304 C~0VoM 2011 04 04.28384 12 52 59.10 -26 08 46.5 10EL139 304 C~0VoM 2011 04 04.35120 12 52 58.72 -26 08 44.9 10EL139 304 C~0VoM 2011 04 04.35480 12 52 58.69 -26 08 44.5 10EL139 304 C~0VoM 2011 04 05.01866 12 52 54.91 -26 08 28.2 10EL139 304 C~0VoM 2011 04 05.02222 12 52 54.87 -26 08 27.9 10EL139 304 C~0VoM 2011 04 05.02584 12 52 54.86 -26 08 28.1 10EL139 304 C~0VoM 2011 04 05.02942 12 52 54.84 -26 08 27.9 10EL139 304 C~0VoM 2011 04 05.03300 12 52 54.81 -26 08 27.8 10EL139 304 C~0VoM 2011 04 05.03671 12 52 54.79 -26 08 27.7 10EL139 304 C~0VoM 2011 04 05.04029 12 52 54.77 -26 08 27.7 10EL139 304 C~0VoM 2011 04 05.04395 12 52 54.74 -26 08 27.5 10EL139 304 C~0VoM 2011 04 05.04753 12 52 54.73 -26 08 27.4 10EL139 304 C~0VoM 2011 04 05.05112 12 52 54.71 -26 08 27.3 10EL139 304 C~0VoM 2011 04 05.05477 12 52 54.68 -26 08 27.3 10EL139 304 C~0VoM 2011 04 05.05837 12 52 54.97 -26 08 28.2 10EL139 304 C~0VoM 2011 04 05.14160 12 52 54.18 -26 08 25.1 10EL139 304 C~0VoM 2011 04 05.14517 12 52 54.16 -26 08 25.0 10EL139 304 C~0VoM 2011 04 05.19774 12 52 53.85 -26 08 23.7 10EL139 304 C~0VoM 2011 04 05.20132 12 52 53.83 -26 08 23.6 10EL139 304 C~0VoM 2011 04 05.25416 12 52 53.51 -26 08 22.3 10EL139 304 C~0VoM 2011 04 05.25773 12 52 53.49 -26 08 22.2 10EL139 304 C~0VoM 2011 04 05.31983 12 52 53.13 -26 08 20.6 10EL139 304 C~0VoM 2011 04 05.32340 12 52 53.12 -26 08 20.5 10EL139 304 C~0VoM
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 0.26 0.00 -0.08 2 0.0001 -3.06 0.25 -0.81 0.02 3 0.0002 -6.01 0.40 -1.89 -0.14 4 0.0628 -1750.93 -0.23 -332.33 0.33 5 0.0629 -1754.99 -0.16 -332.94 0.18 6 0.0631 -1759.63 -0.13 -333.37 0.27 7 0.0747 -2104.95 ( 0.49) -365.12 ( 0.03) 8 0.0747 -2105.74 ( 0.61) -365.04 ( 0.19) 9 0.0776 -2189.95 ( 2.33) -371.23 ( 0.37) 10 0.0776 -2194.20 ( 0.58) -371.40 ( 0.38) 11 0.0899 -2561.80 -0.03 -391.80 0.30 12 0.0901 -2568.87 -0.08 -392.60 -0.16 13 0.0903 -2576.17 -0.35 -393.04 -0.26 14 0.0928 -2651.31 -0.92 -395.62 -0.12 15 0.0931 -2657.24 0.14 -396.38 -0.60 16 0.2432 -6193.40 0.33 167.84 0.15 17 0.2433 -6194.48 0.34 168.51 0.21 18 0.2434 -6195.44 0.22 168.74 -0.04 19 0.9909 6075.93 0.04 -1442.38 0.04 20 0.9909 6075.69 0.07 -1442.48 0.03 21 0.9909 6075.32 -0.02 -1442.65 -0.04 22 0.9912 6068.90 0.00 -1444.78 0.08 23 0.9912 6068.53 -0.09 -1444.94 0.02 24 0.9913 6067.51 0.01 -1445.28 0.07 25 0.9913 6066.35 -0.01 -1445.67 0.07 26 0.9913 6066.27 0.19 -1445.81 0.02 27 0.9915 6060.72 -0.02 -1447.57 0.09 28 0.9916 6060.39 -0.07 -1447.82 -0.07 29 0.9917 6058.30 0.04 -1448.40 0.09 30 0.9917 6057.89 -0.09 -1448.47 0.11 31 0.9936 6012.05 -0.14 -1463.92 -0.07 32 0.9936 6011.89 -0.03 -1463.88 0.07 33 0.9936 6011.64 0.01 -1463.99 0.05 34 0.9938 6006.66 0.06 -1465.72 0.03 35 0.9939 6006.38 0.06 -1465.73 0.11 36 0.9939 6006.01 -0.03 -1465.89 0.04 37 0.9939 6004.30 0.04 -1466.91 -0.37 38 0.9940 6002.68 -0.08 -1467.01 0.02 39 0.9940 6002.43 -0.04 -1467.12 0.01 40 0.9940 6002.18 0.00 -1467.23 0.00 41 0.9941 6000.73 0.02 -1468.19 -0.47 42 0.9942 5997.08 -0.01 -1469.49 -0.59 43 0.9944 5994.46 0.11 -1469.72 0.08 44 0.9944 5994.09 0.02 -1469.88 0.01 45 0.9944 5993.80 0.02 -1469.89 0.09 46 0.9991 5880.00 0.16 -1505.96 0.10 47 0.9991 5879.63 0.07 -1506.12 0.03 48 0.9991 5879.38 0.12 -1506.23 0.01 49 0.9992 5876.38 0.10 -1507.10 0.09 50 0.9993 5876.01 0.02 -1507.26 0.02 51 0.9993 5875.73 0.02 -1507.28 0.09 52 0.9994 5872.36 0.06 -1508.31 0.13 53 0.9994 5871.99 -0.02 -1508.47 0.06 54 0.9997 5864.34 0.02 -1510.81 0.08 55 0.9997 5863.97 -0.06 -1510.97 0.01 56 0.9998 5862.41 0.09 -1511.43 0.06 57 0.9998 5862.04 0.01 -1511.59 -0.01 58 0.9998 5861.76 0.02 -1511.61 0.06 59 1.0020 5807.40 0.06 -1528.21 -0.24 60 1.0022 5803.58 0.06 -1529.27 -0.16 61 1.0023 5800.00 0.06 -1530.26 -0.08 62 1.0511 4471.06 -0.01 -1808.43 0.05 63 1.0511 4470.65 -0.08 -1808.50 0.03 64 1.0512 4470.24 -0.14 -1808.57 0.01 65 1.0512 4468.72 -0.08 -1808.80 0.01 66 1.0512 4468.31 -0.15 -1808.87 -0.01 67 1.0512 4468.03 -0.09 -1808.89 0.02 68 1.0516 4458.64 -0.02 -1810.28 -0.02 69 1.0516 4458.23 -0.09 -1810.35 -0.04 70 1.0618 4157.55 0.01 -1847.34 0.00 71 1.0618 4157.14 -0.06 -1847.41 -0.03 72 1.0618 4156.86 0.01 -1847.43 -0.01 73 1.0619 4154.36 0.04 -1847.76 -0.04 74 1.0619 4154.03 0.00 -1847.69 0.07 75 1.0620 4153.78 0.05 -1847.80 -0.01 76 1.0621 4150.42 0.01 -1848.18 0.00 77 1.0621 4150.13 0.02 -1848.20 0.02 78 1.0621 4149.85 0.02 -1848.22 0.03 79 1.0626 4134.55 -0.20 -1849.92 0.05 80 1.0626 4134.35 -0.11 -1850.12 -0.12 81 1.0628 4129.02 0.09 -1850.72 -0.12 82 1.0628 4128.49 -0.15 -1850.51 0.11 83 1.0646 4075.31 0.20 -1856.10 0.04 84 1.0646 4074.70 -0.13 -1856.05 0.13 85 1.0646 4074.65 0.12 -1856.28 -0.08 86 1.0646 4074.33 0.09 -1856.21 0.03 87 1.0646 4073.92 -0.03 -1856.28 -0.01 88 1.0647 4073.63 -0.01 -1856.30 0.01 89 1.0647 4073.38 0.03 -1856.40 -0.07 90 1.0647 4072.93 -0.12 -1856.38 -0.01 91 1.0647 4072.77 0.01 -1856.35 0.06 92 1.0647 4072.48 0.02 -1856.36 0.07 93 1.0647 4072.11 -0.05 -1856.53 -0.06 94 1.0647 4076.05 ( 4.18) -1855.78 ( 0.72) 95 1.0649 4065.06 0.02 -1857.23 0.03 96 1.0650 4064.77 0.03 -1857.24 0.04 97 1.0651 4060.43 0.01 -1857.74 0.02 98 1.0651 4060.14 0.02 -1857.75 0.03 99 1.0653 4055.67 -0.09 -1858.30 -0.05 100 1.0653 4055.39 -0.08 -1858.32 -0.04 101 1.0654 4050.30 -0.05 -1858.81 -0.01 102 1.0654 4050.14 0.08 -1858.77 0.06
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
10EL139 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.148 39.177 39.122 ecceobj 0.061 0.065 0.058 incobj 23.017 23.019 23.016 qmin 35.838 36.056 35.651 qmax 43.321 43.088 43.570 amean 39.458 39.464 39.457 amin 39.303 39.330 39.278 amax 39.610 39.587 39.636 emean 0.074 0.050 0.076 emin 0.047 0.001 0.037 emax 0.094 0.089 0.100 imean 23.993 24.198 23.968 imin 23.577 23.659 23.495 imax 24.447 24.709 24.492 excite_mean 0.413 0.413 0.413 fracstop 1.000 1.000 1.000 cjmean 2.848 2.848 2.848 libcent 0 179.6 181.1 176.5 libamp 0 113.5 174.4 134.1 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 179.3 167.6 177.1 kozaiamp 180.0 180.0 180.0