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: 13TJ172 # Created Wed Dec 25 02:09:38 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 37 observations of 37 # Arc: 9.15y # First observation: 2013/10/03 # Last observation: 2022/11/28 # Chi-squared of fit: 17.68 DOF: 68 RMS: 0.12 # Min/Max residuals: -0.40 0.28 # Exact a, adot, b, bdot, g, gdot: 1.570085E-05 2.638496E-02 -7.679804E-06 -1.217949E-02 2.619266E-02 -4.364361E-03 # Covariance matrix: 2.4028E-13 -6.3226E-14 -4.2131E-14 2.4232E-14 1.2223E-13 -2.1539E-13 -6.3226E-14 4.5728E-14 2.5242E-14 -1.9411E-14 2.1322E-14 1.7213E-13 -4.2131E-14 2.5242E-14 1.1764E-13 -3.2635E-14 -8.5641E-15 1.1442E-13 2.4232E-14 -1.9411E-14 -3.2635E-14 1.6127E-14 -6.2367E-15 -8.5807E-14 1.2223E-13 2.1322E-14 -8.5641E-15 -6.2367E-15 2.4053E-13 5.4501E-14 -2.1539E-13 1.7213E-13 1.1442E-13 -8.5807E-14 5.4501E-14 7.6103E-13 # lat0 lon0 xBary yBary zBary JD0 -12.260854 20.943414 0.191633 -0.208452 -0.959733 2456568.790588 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 337.39353 +/- 0.006 Argument of Peri: 248.25265 +/- 0.010 Long of Asc Node: 176.53823 +/- 0.000 Inclination: 27.38906 +/- 0.000 Eccentricity: 0.29239085 +/- 0.0001 Semi-Major Axis: 52.17276948 +/- 0.0057 Time of Perihelion: 2465212.0971 +/- 21.2 Perihelion: 36.91792920 +/- 0.0051 Aphelion: 67.42760975 +/- 0.0079 Period (y) 376.8548 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.82804665 +/- 0.0007 Ecliptic Y 13.51057677 +/- 0.0002 Ecliptic Z -8.10804146 +/- 0.0002 Ecliptic XDOT -0.00166082 +/- 0.0000 Ecliptic YDOT 0.00231840 +/- 0.0000 Ecliptic ZDOT -0.00114703 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.13991881 +/- 0.0006 Geocenter to KBO 38.17876650 +/- 0.0007 # Hcoef: 6.75
The following table shows the complete astrometric record for 13TJ172. 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 (13TJ172) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.28981 01 35 42.550 -03 12 15.88 23.7g 13TJ172 W84 C~4yR9 2013 10 27.10459 01 33 51.74 -03 26 01.3 23.5g 13TJ172 W84 C~3clP 2013 11 08.23178 01 32 57.030 -03 31 31.53 22.5r 13TJ172 W84 C~4yR9 2013 11 12.18007 01 32 40.272 -03 33 01.83 22.8z 13TJ172 W84 C~4yR9 2014 10 02.333588 01 42 29.38 -03 16 35.7 22.3r 13TJ172 W84 C~35ba 2014 10 02.336308 01 42 29.37 -03 16 35.7 22.0i 13TJ172 W84 C~35ba 2014 10 23.23438 01 40 52.230 -03 29 05.16 22.7r 13TJ172 W84 C~4yR9 2014 11 03.24818 01 40 00.758 -03 34 33.18 22.3z 13TJ172 W84 C~4yR9 2014 11 28.16893 01 38 19.123 -03 42 44.98 23.0r 13TJ172 W84 C~4yR9 2014 12 16.11510 01 37 29.877 -03 44 25.61 22.1i 13TJ172 W84 C~4yR9 2015 01 15.044317 01 37 11.72 -03 39 06.5 22.2z 13TJ172 W84 C~35ba 2015 01 15.04484 01 37 11.742 -03 39 06.70 22.4z 13TJ172 W84 C~4yR9 2015 01 15.047141 01 37 11.72 -03 39 06.6 22.4z 13TJ172 W84 C~35ba 2015 01 15.04767 01 37 11.744 -03 39 06.83 22.3z 13TJ172 W84 C~4yR9 2015 09 04.33457 01 50 58.003 -03 02 52.76 22.5i 13TJ172 W84 C~4yR9 2015 10 23.24044 01 47 37.948 -03 34 04.13 22.3z 13TJ172 W84 C~4yR9 2015 12 01.17757 01 44 50.918 -03 48 28.48 22.3i 13TJ172 W84 C~4yR9 2015 12 01.17894 01 44 50.919 -03 48 28.55 22.4z 13TJ172 W84 C~4yR9 2016 01 12.06424 01 43 43.527 -03 45 18.06 23.1r 13TJ172 W84 C~4yR9 2016 01 12.06561 01 43 43.523 -03 45 18.16 23.9g 13TJ172 W84 C~4yR9 2016 10 26.27276 01 54 07.637 -03 41 05.25 23.4g 13TJ172 W84 C~4yR9 2016 11 10.11848 01 52 57.942 -03 47 52.66 22.4z 13TJ172 W84 C~4yR9 2016 11 19.12607 01 52 18.77 -03 50 57.8 22.0r 13TJ172 W84 C~3clP 2016 12 06.06279 01 51 16.631 -03 54 20.50 22.3z 13TJ172 W84 C~4yR9 2017 10 30.21536 02 00 40.816 -03 47 50.21 21.8z 13TJ172 W84 C~4yR9 2017 11 16.14603 01 59 21.983 -03 54 53.61 22.9r 13TJ172 W84 C~4yR9 2017 11 17.13993 01 59 17.629 -03 55 13.09 22.5i 13TJ172 W84 C~4yR9 2017 11 18.13084 01 59 13.326 -03 55 31.85 23.3g 13TJ172 W84 C~4yR9 2017 11 23.10803 01 58 52.388 -03 56 56.64 22.1z 13TJ172 W84 C~4yR9 2017 11 23.10946 01 58 52.381 -03 56 56.63 22.2i 13TJ172 W84 C~4yR9 2018 09 22.28412 02 10 27.147 -03 29 02.13 22.3z 13TJ172 W84 C~4yR9 2018 11 15.09676 02 06 20.980 -03 59 12.16 22.3i 13TJ172 W84 C~4yR9 2018 11 29.19158 02 05 21.214 -04 03 01.35 22.7r 13TJ172 W84 C~4yR9 2018 11 29.19296 02 05 21.211 -04 03 01.36 23.4g 13TJ172 W84 C~4yR9 2022 11 28.120280 02 33 28.822 -04 19 48.52 22.4G 13TJ172 G37 C~675S 2022 11 28.172260 02 33 28.594 -04 19 49.23 13TJ172 G37 C~675S 2022 11 28.223340 02 33 28.357 -04 19 49.82 13TJ172 G37 C~675S
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 0.02 0.00 0.08 2 0.0652 0.00 0.28 0.00 0.03 3 0.0984 0.00 0.11 0.00 -0.01 4 0.1092 0.00 0.18 0.00 -0.03 5 0.9967 0.00 -0.17 0.00 0.16 6 0.9967 0.00 -0.14 0.00 0.27 7 1.0539 0.00 -0.06 0.00 -0.00 8 1.0841 0.00 0.02 0.00 -0.22 9 1.1523 0.00 0.05 0.00 0.09 10 1.2014 0.00 0.10 0.00 -0.02 11 1.2834 0.00 -0.36 0.00 0.27 12 1.2834 0.00 -0.04 0.00 0.05 13 1.2834 0.00 -0.40 0.00 0.11 14 1.2834 0.00 -0.04 0.00 -0.13 15 1.9194 0.00 -0.02 0.00 -0.05 16 2.0533 0.00 -0.08 0.00 -0.16 17 2.1599 0.00 0.08 0.00 -0.07 18 2.1599 0.00 0.17 0.00 -0.13 19 2.2745 0.00 0.11 0.00 0.00 20 2.2745 0.00 0.04 0.00 -0.12 21 3.0636 0.00 -0.12 0.00 -0.20 22 3.1043 0.00 0.16 0.00 -0.02 23 3.1289 0.00 0.16 0.00 0.03 24 3.1753 0.00 0.07 0.00 0.02 25 4.0737 0.00 0.17 0.00 -0.13 26 4.1201 0.00 -0.07 0.00 0.00 27 4.1228 0.00 0.01 0.00 0.04 28 4.1255 0.00 0.02 0.00 0.10 29 4.1391 0.00 -0.05 0.00 0.00 30 4.1391 0.00 -0.07 0.00 0.03 31 4.9692 0.00 -0.07 0.00 -0.06 32 5.1165 0.00 0.02 0.00 0.09 33 5.1551 0.00 0.05 0.00 -0.02 34 5.1551 0.00 0.09 0.00 -0.01 35 9.1522 0.00 -0.02 0.00 0.05 36 9.1523 0.00 0.05 0.00 -0.00 37 9.1525 0.00 -0.07 0.00 0.05
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.
13TJ172 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 52.473 52.473 52.473 ecceobj 0.295 0.295 0.295 incobj 27.311 27.311 27.311 qmin 36.130 36.131 36.118 qmax 68.477 68.463 68.514 amean 51.984 51.983 51.984 amin 51.459 51.465 51.468 amax 52.587 52.595 52.599 emean 0.285 0.285 0.285 emin 0.267 0.267 0.267 emax 0.303 0.303 0.303 imean 27.002 27.002 27.002 imin 26.622 26.618 26.614 imax 27.560 27.561 27.565 excite_mean 0.536 0.536 0.536 fracstop 1.000 1.000 1.000 cjmean 2.824 2.824 2.824 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 176.2 176.1 176.2 kozaiamp 180.0 180.0 180.0