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: 13GB138 # Created Sun Nov 24 02:09:22 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 39 observations of 39 # Arc: 11.10y # First observation: 2013/03/07 # Last observation: 2024/04/14 # Chi-squared of fit: 11.82 DOF: 72 RMS: 0.10 # Min/Max residuals: -0.33 0.21 # Exact a, adot, b, bdot, g, gdot: 1.568269E-05 2.071440E-02 1.944640E-06 8.198730E-04 2.259781E-02 -1.055900E-04 # Covariance matrix: 1.3428E-13 -4.3826E-14 5.1510E-16 -1.5922E-15 9.4442E-14 -1.6777E-13 -4.3826E-14 6.8923E-14 -1.9081E-15 2.7460E-15 1.6498E-14 3.0401E-13 5.1510E-16 -1.9081E-15 5.0248E-14 -8.4240E-15 -1.3813E-15 -9.1389E-15 -1.5922E-15 2.7460E-15 -8.4240E-15 5.4540E-15 6.1597E-16 1.3127E-14 9.4442E-14 1.6498E-14 -1.3813E-15 6.1597E-16 1.7138E-13 8.1907E-14 -1.6777E-13 3.0401E-13 -9.1389E-15 1.3127E-14 8.1907E-14 1.4536E-12 # lat0 lon0 xBary yBary zBary JD0 1.604706 -141.886275 0.771702 0.017530 -0.624389 2456359.054538 # Heliocentric elements and errors Epoch: 2456358.5000 = 2013/03/07 Mean Anomaly: 204.93313 +/- 0.058 Argument of Peri: 191.94686 +/- 0.055 Long of Asc Node: 182.59980 +/- 0.002 Inclination: 2.79022 +/- 0.000 Eccentricity: 0.05087305 +/- 0.0001 Semi-Major Axis: 42.88413921 +/- 0.0029 Time of Perihelion: 2500541.9862 +/- 17.6 Perihelion: 40.70249224 +/- 0.0038 Aphelion: 45.06578618 +/- 0.0040 Period (y) 280.8363 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -35.76976477 +/- 0.0006 Ecliptic Y -27.07913976 +/- 0.0005 Ecliptic Z 1.23932223 +/- 0.0000 Ecliptic XDOT 0.00155502 +/- 0.0000 Ecliptic YDOT -0.00196428 +/- 0.0000 Ecliptic ZDOT 0.00009907 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.88087541 +/- 0.0006 Geocenter to KBO 44.25209437 +/- 0.0008 # Hcoef: 7.22
The following table shows the complete astrometric record for 13GB138. 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 (13GB138) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.55376 14 25 06.132 -12 41 35.12 23.2r 13GB138 568 C~1XRa 2013 03 07.61085 14 25 06.001 -12 41 34.19 23.5r 13GB138 568 C~1XRa 2013 04 04.55473 14 23 34.341 -12 33 03.96 13GB138 568 C~1XRa 2013 04 07.41499 14 23 22.814 -12 32 02.20 23.2r 13GB138 568 C~1XRa 2013 04 07.45875 14 23 22.631 -12 32 01.41 23.5r 13GB138 568 C~1XRa 2013 04 08.44736 14 23 18.589 -12 31 39.73 23.8r 13GB138 568 C~1XRa 2013 04 08.49256 14 23 18.386 -12 31 38.94 23.3r 13GB138 568 C~1XRa 2013 04 09.39399 14 23 14.677 -12 31 19.12 23.6r 13GB138 568 C~1XRa 2013 04 09.43719 14 23 14.495 -12 31 18.20 23.5r 13GB138 568 C~1XRa 2013 04 09.48059 14 23 14.310 -12 31 17.01 23.7r 13GB138 568 C~1XRa 2013 05 11.48217 14 20 55.323 -12 19 20.28 23.8r 13GB138 568 C~1XRa 2013 05 12.48442 14 20 51.044 -12 18 58.83 23.6r 13GB138 568 C~1XRa 2013 06 12.37957 14 18 57.296 -12 09 43.78 23.6r 13GB138 568 C~1XRa 2013 06 12.42509 14 18 57.163 -12 09 43.05 24.0r 13GB138 568 C~1XRa 2013 08 05.27533 14 18 09.043 -12 07 06.25 24.1r 13GB138 568 C~1XRa 2014 02 24.60122 14 30 07.816 -13 03 47.20 23.9r 13GB138 568 C~1XRa 2014 02 25.58427 14 30 06.356 -13 03 37.49 23.6r 13GB138 568 C~1XRa 2014 02 28.53222 14 30 01.493 -13 03 06.00 23.7r 13GB138 568 C~1XRa 2014 03 28.44948 14 28 44.249 -12 55 46.79 23.8r 13GB138 568 C~1XRa 2014 03 28.48858 14 28 44.097 -12 55 46.08 23.6r 13GB138 568 C~1XRa 2014 04 04.42723 14 28 17.853 -12 53 26.10 23.6r 13GB138 568 C~1XRa 2014 04 04.46649 14 28 17.692 -12 53 25.29 23.6r 13GB138 568 C~1XRa 2014 04 05.42266 14 28 13.934 -12 53 05.14 23.8r 13GB138 568 C~1XRa 2014 04 05.42769 14 28 13.904 -12 53 05.16 23.7r 13GB138 568 C~1XRa 2014 04 05.54119 14 28 13.444 -12 53 02.67 23.6r 13GB138 568 C~1XRa 2014 04 30.10956 14 26 28.31 -12 44 01.3 23.9V 13GB138 W84 C~2fc7 2014 04 30.17846 14 26 28.00 -12 43 59.8 13GB138 W84 C~2fc7 2014 05 01.09622 14 26 23.95 -12 43 39.4 13GB138 W84 C~2fc7 2014 05 01.16603 14 26 23.62 -12 43 37.8 13GB138 W84 C~2fc7 2014 05 22.43816 14 24 52.580 -12 36 07.78 23.6r 13GB138 568 C~1XRa 2014 05 25.37427 14 24 40.933 -12 35 11.44 23.7r 13GB138 568 C~1XRa 2014 05 25.37889 14 24 40.911 -12 35 11.22 24.0r 13GB138 568 C~1XRa 2014 05 25.38376 14 24 40.883 -12 35 11.19 23.9r 13GB138 568 C~1XRa 2014 05 25.40152 14 24 40.815 -12 35 10.77 23.8r 13GB138 568 C~1XRa 2015 01 26.64799 14 34 50.386 -13 24 58.53 24.0r 13GB138 568 C~1XRa 2019 05 06.303230 14 49 53.16 -14 19 42.4 23.4G 13GB138 705 C~39oa 2019 05 06.339730 14 49 52.99 -14 19 41.8 23.5G 13GB138 705 C~39oa 2024 04 14.405330 15 15 40.676 -15 55 09.41 23.4G 13GB138 G37 C~7zmB 2024 04 14.446390 15 15 40.502 -15 55 08.46 13GB138 G37 C~7zmB
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 -0.33 0.00 -0.19 2 0.0002 0.00 -0.16 0.00 -0.08 3 0.0767 0.00 0.21 0.00 -0.14 4 0.0845 0.00 0.03 0.00 0.09 5 0.0846 0.00 0.01 0.00 -0.07 6 0.0873 0.00 0.12 0.00 0.08 7 0.0874 0.00 -0.08 0.00 -0.12 8 0.0899 0.00 -0.02 0.00 -0.05 9 0.0900 0.00 -0.02 0.00 -0.07 10 0.0901 0.00 -0.05 0.00 0.17 11 0.1778 0.00 0.07 0.00 0.03 12 0.1805 0.00 0.00 0.00 0.01 13 0.2651 0.00 0.14 0.00 0.01 14 0.2652 0.00 0.17 0.00 0.11 15 0.4127 0.00 -0.04 0.00 0.03 16 0.9693 0.00 0.03 0.00 0.05 17 0.9720 0.00 0.06 0.00 0.02 18 0.9801 0.00 0.07 0.00 0.09 19 1.0565 0.00 0.09 0.00 0.08 20 1.0566 0.00 -0.02 0.00 0.03 21 1.0756 0.00 0.00 0.00 -0.03 22 1.0757 0.00 -0.05 0.00 -0.04 23 1.0784 0.00 0.20 0.00 0.15 24 1.0784 0.00 0.06 0.00 0.03 25 1.0787 0.00 0.05 0.00 0.14 26 1.1459 0.00 -0.04 0.00 0.03 27 1.1461 0.00 -0.03 0.00 -0.00 28 1.1486 0.00 0.11 0.00 -0.08 29 1.1488 0.00 -0.13 0.00 -0.03 30 1.2071 0.00 -0.00 0.00 -0.06 31 1.2151 0.00 0.01 0.00 -0.08 32 1.2151 0.00 -0.04 0.00 0.05 33 1.2151 0.00 -0.17 0.00 -0.01 34 1.2152 0.00 -0.13 0.00 0.07 35 1.8894 0.00 -0.00 0.00 -0.15 36 6.1622 0.00 -0.01 0.00 -0.02 37 6.1623 0.00 -0.06 0.00 -0.17 38 11.1043 0.00 0.07 0.00 -0.07 39 11.1044 0.00 -0.03 0.00 0.16
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.
13GB138 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.737 42.737 42.737 ecceobj 0.055 0.055 0.055 incobj 2.797 2.797 2.797 qmin 39.517 39.517 39.516 qmax 46.747 46.747 46.747 amean 43.036 43.036 43.036 amin 42.698 42.698 42.698 amax 43.382 43.382 43.382 emean 0.061 0.061 0.061 emin 0.040 0.040 0.040 emax 0.078 0.078 0.078 imean 4.004 4.004 4.004 imin 2.819 2.819 2.819 imax 4.864 4.864 4.864 excite_mean 0.093 0.093 0.093 fracstop 1.000 1.000 1.000 cjmean 3.079 3.079 3.079 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 181.0 181.0 181.0 kozaiamp 180.0 179.9 180.0