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: 123509 # Created Sun Dec 22 02:06:54 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 80 observations of 84 # Arc: 17.97y # First observation: 2000/11/26 # Last observation: 2018/11/14 # Chi-squared of fit: 188.28 DOF: 154 RMS: 0.27 # Min/Max residuals: -0.79 0.86 # Exact a, adot, b, bdot, g, gdot: 1.598565E-05 2.300612E-02 -1.300765E-06 -4.110649E-04 2.372121E-02 -8.007589E-04 # Covariance matrix: 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 # lat0 lon0 xBary yBary zBary JD0 -1.722308 64.380216 0.001682 -0.029598 -0.980025 2451874.614903 # Heliocentric elements and errors Epoch: 2451874.5000 = 2000/11/26 Mean Anomaly: 318.59185 +/- 0.000 Argument of Peri: 284.31987 +/- 0.000 Long of Asc Node: 185.47262 +/- 0.000 Inclination: 1.96528 +/- 0.000 Eccentricity: 0.05026051 +/- 0.0000 Semi-Major Axis: 44.77844091 +/- 0.0000 Time of Perihelion: 2464463.3264 +/- 0.0 Perihelion: 42.52785369 +/- 0.0000 Aphelion: 47.02902812 +/- 0.0000 Period (y) 299.6482 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 18.64984231 +/- 0.0000 Ecliptic Y 38.88293269 +/- 0.0000 Ecliptic Z -1.26711443 +/- 0.0000 Ecliptic XDOT -0.00244272 +/- 0.0000 Ecliptic YDOT 0.00106797 +/- 0.0000 Ecliptic ZDOT -0.00004447 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.14286246 +/- 0.0000 Geocenter to KBO 42.15641727 +/- 0.0000 # Hcoef: 6.50
The following table shows the complete astrometric record for 123509. 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 (123509) followed by the observatory code and reference code for the source of the astrometry.
2000 11 26.11416 04 10 57.92 +19 19 31.2 22.2R 123509 809 Cc4044 2000 11 26.17009 04 10 57.65 +19 19 30.4 22.1R 123509 809 Cc4044 2000 11 26.22604 04 10 57.38 +19 19 29.8 22.1R 123509 809 Cc4044 2000 11 26.26777 04 10 57.14 +19 19 29.1 22.2R 123509 809 Cc4044 2000 11 27.11434 04 10 52.92 +19 19 18.1 22.3R 123509 809 Cc4044 2000 11 27.16508 04 10 52.65 +19 19 17.1 22.1R 123509 809 Cc4044 2001 01 30.06024 04 06 52.59 +19 09 47.5 22.6R 123509 809 Cc6726 2001 01 31.05665 04 06 51.16 +19 09 45.8 22.7R 123509 809 Cc6726 2001 01 31.08593 04 06 51.13 +19 09 45.5 22.9R 123509 809 Cc6726 2001 02 16.88953 04 06 41.72 +19 09 57.0 123509 950 Cc6726 2001 02 18.96949 04 06 42.50 +19 10 03.8 123509 950 Cc6726 2002 02 03.41236 04 12 13.93 +19 22 43.9 22.4R 123509 568 Cf2275 2002 02 04.42638 04 12 12.75 +19 22 43.0 123509 568 Cf2275 2004 11 09.45753 04 34 35.61 +20 09 49.2 22.9R 123509 695 Cl9805 2004 11 10.40238 04 34 31.22 +20 09 38.8 123509 695 Cl9805 2004 11 10.47794 04 34 30.88 +20 09 38.2 123509 695 Cl9805 2005 11 03.35174 04 40 39.82 +20 20 52.4 22.8R 123509 695 Cp0607 2005 11 03.39872 04 40 39.61 +20 20 51.8 123509 695 Cp0607 2005 11 03.44692 04 40 39.40 +20 20 51.5 123509 695 Cp0607 2005 11 24.37397 04 39 00.75 +20 17 18.1 22.4R 123509 250 S~06HC 2005 11 24.38068 04 39 00.71 +20 17 18.0 123509 250 S~06HC 2005 11 24.38740 04 39 00.68 +20 17 17.9 123509 250 S~06HC 2005 12 02.24861 04 38 20.65 +20 15 56.0 22.6R 123509 695 Cp9831 2005 12 02.30156 04 38 20.38 +20 15 55.5 123509 695 Cp9831 2005 12 02.35518 04 38 20.10 +20 15 54.9 123509 695 Cp9831 2005 12 30.26506 04 36 03.89 +20 11 35.6 23.1R 123509 688 Cp9831 2005 12 30.32521 04 36 03.66 +20 11 34.8 123509 688 Cp9831 2007 08 08.66571 04 52 31.36 +20 43 23.9 23.4R 123509 250 S~06HC 2007 08 08.67334 04 52 31.39 +20 43 24.0 123509 250 S~06HC 2007 08 08.72196 04 52 31.56 +20 43 24.1 123509 250 S~06HC 2007 08 08.72959 04 52 31.59 +20 43 24.1 123509 250 S~06HC 2007 08 13.71779 04 52 48.50 +20 43 38.5 123509 250 S~06HC 2007 08 13.72543 04 52 48.52 +20 43 38.6 123509 250 S~06HC 2007 08 13.73307 04 52 48.55 +20 43 38.6 123509 250 S~06HC 2007 08 13.74071 04 52 48.57 +20 43 38.6 123509 250 S~06HC 2007 09 12.89209 04 53 42.24 +20 43 43.7 123509 250 S~06HC 2007 09 12.90737 04 53 42.24 +20 43 43.7 123509 250 S~06HC 2007 09 12.91501 04 53 42.25 +20 43 43.6 123509 250 S~06HC 2007 10 16.79823 04 52 57.69 +20 41 03.6 123509 250 S~06HC 2007 10 16.80448 04 52 57.67 +20 41 03.6 123509 250 S~06HC 2007 10 16.81212 04 52 57.65 +20 41 03.5 123509 250 S~06HC 2007 10 16.82115 04 52 57.62 +20 41 03.5 123509 250 S~06HC 2007 10 16.86212 04 52 57.50 +20 41 03.2 123509 250 S~06HC 2007 10 16.87115 04 52 57.48 +20 41 03.1 123509 250 S~06HC 2007 10 16.87879 04 52 57.46 +20 41 03.1 123509 250 S~06HC 2007 10 16.88504 04 52 57.44 +20 41 03.0 123509 250 S~06HC 2007 11 27.88446 04 50 00.76 +20 35 10.7 123509 250 S~06HC 2007 11 27.89210 04 50 00.72 +20 35 10.6 123509 250 S~06HC 2007 11 27.89974 04 50 00.68 +20 35 10.5 123509 250 S~06HC 2007 11 27.90737 04 50 00.64 +20 35 10.5 123509 250 S~06HC 2008 08 22.55530 04 58 44.99 +20 51 31.5 123509 250 S~06HC 2008 08 22.56294 04 58 45.01 +20 51 31.5 123509 250 S~06HC 2008 08 22.61641 04 58 45.14 +20 51 31.5 123509 250 S~06HC 2008 08 22.62405 04 58 45.16 +20 51 31.5 123509 250 S~06HC 2013 01 07.254165 05 15 04.672 +21 05 42.11 23.2G 123509 F51 C~43Yo 2013 01 07.272863 05 15 04.568 +21 05 42.61 22.0G 123509 F51 C~43Yo 2013 01 07.288821 05 15 04.494 +21 05 42.39 23.4G 123509 F51 C~43Yo 2013 01 07.304831 05 15 04.435 +21 05 42.00 22.8G 123509 F51 C~43Yo 2013 01 18.400637 05 14 17.848 +21 05 07.63 21.6G 123509 F51 C~43Yo 2013 01 18.412786 05 14 17.819 +21 05 07.22 22.5G 123509 F51 C~43Yo 2013 11 27.367137 05 24 16.829 +21 13 51.93 22.7G 123509 F51 C~43Yo 2013 11 27.382366 05 24 16.753 +21 13 51.90 22.4G 123509 F51 C~43Yo 2013 11 27.397607 05 24 16.670 +21 13 51.63 22.3G 123509 F51 C~43Yo 2013 11 27.412964 05 24 16.609 +21 13 51.50 22.5G 123509 F51 C~43Yo 2014 02 24.289067 05 18 32.310 +21 10 12.51 23.0G 123509 F51 C~43Yo 2014 02 24.301553 05 18 32.279 +21 10 12.58 22.6G 123509 F51 C~43Yo 2014 02 24.314093 05 18 32.267 +21 10 12.68 22.9G 123509 F51 C~43Yo 2015 12 08.497738 05 34 55.344 +21 20 20.92 22.5G 123509 F51 C~43Yo 2015 12 08.509728 05 34 55.272 +21 20 20.81 22.5G 123509 F51 C~43Yo 2015 12 08.521637 05 34 55.216 +21 20 20.85 22.4G 123509 F51 C~43Yo 2015 12 08.533504 05 34 55.145 +21 20 20.66 22.5G 123509 F51 C~43Yo 2015 12 09.519682 05 34 50.048 +21 20 17.24 21.6G 123509 F51 C~43Yo 2015 12 09.533551 05 34 49.949 +21 20 16.99 22.2G 123509 F51 C~43Yo 2015 12 09.547443 05 34 49.924 +21 20 16.99 22.1G 123509 F51 C~43Yo 2016 01 14.403427 05 31 50.506 +21 18 38.82 22.7G 123509 F51 C~43Yo 2016 01 14.431280 05 31 50.387 +21 18 38.58 23.2G 123509 F51 C~43Yo 2016 01 14.445158 05 31 50.318 +21 18 38.79 23.8G 123509 F51 C~43Yo 2018 11 14.318760 05 54 06.62 +21 26 39.3 22.5G 123509 705 C~2rNm 2018 11 14.363010 05 54 06.44 +21 26 39.3 22.4G 123509 705 C~2rNm 2018 11 14.450400 05 54 06.08 +21 26 39.1 22.7G 123509 705 C~2rNm 2018 11 14.521990 05 54 05.79 +21 26 38.8 22.5G 123509 705 C~2rNm 2021 12 01.410920 06 10 10.262 +21 24 37.55 22.3G 123509 G37 C~5JeD 2021 12 01.450170 06 10 10.066 +21 24 37.65 123509 G37 C~5JeD 2021 12 01.489910 06 10 09.887 +21 24 37.62 123509 G37 C~5JeD
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 -0.18 0.00 0.18 2 0.0002 0.00 0.04 0.00 0.13 3 0.0003 0.00 0.27 0.00 0.28 4 0.0004 0.00 -0.14 0.00 0.14 5 0.0027 0.00 0.11 0.00 0.46 6 0.0029 0.00 -0.07 0.00 0.13 7 0.1778 0.00 -0.08 0.00 0.06 8 0.1805 0.00 -0.19 0.00 0.13 9 0.1806 0.00 0.00 0.00 -0.12 10 0.2266 0.00 -0.11 0.00 0.12 11 0.2323 0.00 -0.06 0.00 0.12 12 1.1890 0.00 0.15 0.00 -0.28 13 1.1918 0.00 0.20 0.00 -0.32 14 3.9544 0.00 -0.15 0.00 0.10 15 3.9570 0.00 -0.28 0.00 -0.14 16 3.9572 0.00 -0.02 0.00 0.09 17 4.9370 0.00 -0.25 0.00 0.13 18 4.9371 0.00 -0.33 0.00 -0.01 19 4.9373 0.00 -0.34 0.00 0.16 20 4.9946 0.00 0.86 0.00 0.36 21 4.9946 0.00 0.76 0.00 0.33 22 4.9946 0.00 0.82 0.00 0.30 23 5.0161 0.00 -0.18 0.00 0.11 24 5.0163 0.00 -0.11 0.00 0.15 25 5.0164 0.00 -0.13 0.00 0.11 26 5.0928 0.00 -0.79 0.00 -0.01 27 5.0930 0.00 -0.21 0.00 -0.33 28 6.6983 0.00 0.17 0.00 0.46 29 6.6983 0.00 0.21 0.00 0.53 30 6.6984 0.00 0.13 0.00 0.46 31 6.6985 0.00 0.17 0.00 0.44 32 6.7121 0.00 0.09 0.00 -0.41 33 6.7121 0.00 0.02 0.00 -0.33 34 6.7122 0.00 0.11 0.00 -0.35 35 6.7122 0.00 0.05 0.00 -0.37 36 6.7947 0.00 -0.11 0.00 -0.49 37 6.7948 0.00 -0.19 0.00 -0.45 38 6.7948 0.00 -0.07 0.00 -0.54 39 6.8876 0.00 -0.06 0.00 -0.52 40 6.8876 0.00 -0.09 0.00 -0.48 41 6.8876 0.00 -0.07 0.00 -0.53 42 6.8876 0.00 -0.13 0.00 -0.47 43 6.8877 0.00 -0.17 0.00 -0.48 44 6.8878 0.00 -0.08 0.00 -0.52 45 6.8878 0.00 -0.05 0.00 -0.47 46 6.8878 0.00 -0.09 0.00 -0.53 47 7.0028 0.00 ( -4.20) 0.00 ( 1.91) 48 7.0028 0.00 ( -4.22) 0.00 ( 1.88) 49 7.0028 0.00 ( -4.24) 0.00 ( 1.85) 50 7.0029 0.00 ( -4.26) 0.00 ( 1.92) 51 7.7384 0.00 0.13 0.00 0.62 52 7.7384 0.00 0.15 0.00 0.61 53 7.7385 0.00 0.14 0.00 0.56 54 7.7386 0.00 0.16 0.00 0.56 55 12.1154 0.00 0.24 0.00 -0.22 56 12.1154 0.00 -0.04 0.00 0.35 57 12.1155 0.00 -0.05 0.00 0.19 58 12.1155 0.00 0.17 0.00 -0.15 59 12.1459 0.00 -0.11 0.00 0.40 60 12.1459 0.00 0.17 0.00 0.02 61 13.0027 0.00 -0.03 0.00 0.11 62 13.0028 0.00 -0.02 0.00 0.15 63 13.0028 0.00 -0.12 0.00 -0.04 64 13.0029 0.00 0.13 0.00 -0.10 65 13.2462 0.00 0.24 0.00 -0.11 66 13.2462 0.00 -0.08 0.00 -0.06 67 13.2463 0.00 -0.11 0.00 0.02 68 15.0319 0.00 0.11 0.00 0.06 69 15.0319 0.00 -0.03 0.00 -0.00 70 15.0319 0.00 0.07 0.00 0.08 71 15.0319 0.00 -0.06 0.00 -0.06 72 15.0346 0.00 0.01 0.00 0.09 73 15.0347 0.00 -0.39 0.00 -0.11 74 15.0347 0.00 0.34 0.00 -0.06 75 15.1329 0.00 0.01 0.00 0.24 76 15.1330 0.00 0.10 0.00 0.05 77 15.1330 0.00 -0.00 0.00 0.29 78 17.9663 0.00 -0.04 0.00 -0.02 79 17.9665 0.00 -0.03 0.00 0.08 80 17.9667 0.00 -0.07 0.00 0.09 81 17.9669 0.00 -0.04 0.00 -0.02 82 21.0138 0.00 -0.01 0.00 0.02 83 21.0139 0.00 -0.11 0.00 0.12 84 21.0140 0.00 0.08 0.00 0.10
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.
123509 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.739 44.739 44.740 ecceobj 0.049 0.049 0.049 incobj 1.965 1.965 1.965 qmin 41.448 41.440 41.456 qmax 47.618 47.622 47.625 amean 44.437 44.437 44.438 amin 44.084 44.087 44.083 amax 44.805 44.803 44.804 emean 0.048 0.048 0.048 emin 0.033 0.033 0.033 emax 0.064 0.064 0.063 imean 2.722 2.722 2.722 imin 2.114 2.114 2.114 imax 3.288 3.288 3.288 excite_mean 0.068 0.068 0.068 fracstop 1.000 1.000 1.000 cjmean 3.101 3.101 3.101 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 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 181.4 181.3 181.4 kozaiamp 180.0 180.0 180.0