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: 13TB187 # Created Sun Dec 22 02:09:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 5.14y # First observation: 2013/10/12 # Last observation: 2018/12/01 # Chi-squared of fit: 17.38 DOF: 40 RMS: 0.15 # Min/Max residuals: -0.38 0.37 # Exact a, adot, b, bdot, g, gdot: 1.471203E-05 2.457323E-02 2.704015E-06 4.330640E-03 2.744455E-02 -2.443278E-02 # Covariance matrix: 1.7785E-13 -6.5243E-14 -3.4605E-14 -8.2647E-15 5.8846E-14 -2.5681E-13 -6.5243E-14 1.7468E-13 -4.7094E-14 5.5228E-14 5.6304E-14 1.3813E-12 -3.4605E-14 -4.7094E-14 2.1379E-13 -5.4021E-14 -1.1195E-13 -4.1630E-13 -8.2647E-15 5.5228E-14 -5.4021E-14 3.3796E-14 2.4441E-14 4.7701E-13 5.8846E-14 5.6304E-14 -1.1195E-13 2.4441E-14 1.7207E-13 5.0172E-13 -2.5681E-13 1.3813E-12 -4.1630E-13 4.7701E-13 5.0172E-13 1.1919E-11 # lat0 lon0 xBary yBary zBary JD0 -51.010722 6.322546 -0.215442 -0.757092 -0.613010 2456577.796108 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 345.29441 +/- 0.010 Argument of Peri: 24.91509 +/- 0.003 Long of Asc Node: 82.12654 +/- 0.000 Inclination: 50.77851 +/- 0.000 Eccentricity: 0.78882113 +/- 0.0001 Semi-Major Axis: 77.44172131 +/- 0.0361 Time of Perihelion: 2466746.6241 +/- 167.0 Perihelion: 16.35405522 +/- 0.0114 Aphelion: 138.52938741 +/- 0.0651 Period (y) 681.5076 +/- 0.48 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 23.72990527 +/- 0.0004 Ecliptic Y 2.84904072 +/- 0.0000 Ecliptic Z -28.32122844 +/- 0.0004 Ecliptic XDOT -0.00146660 +/- 0.0000 Ecliptic YDOT 0.00230316 +/- 0.0000 Ecliptic ZDOT 0.00216646 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.05880448 +/- 0.0004 Geocenter to KBO 36.43766456 +/- 0.0006 # Hcoef: 7.62
The following table shows the complete astrometric record for 13TB187. 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 (13TB187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 12.29533 02 03 11.45 -43 16 48.0 23.8g 13TB187 W84 C~3clP 2013 10 28.15783 02 01 13.912 -43 21 05.50 23.3g 13TB187 W84 C~4yRC 2013 10 28.16365 02 01 13.890 -43 21 05.48 23.2g 13TB187 W84 C~4yRC 2014 01 01.14381 01 55 18.426 -42 38 09.23 23.4r 13TB187 W84 C~4yRC 2014 01 01.14520 01 55 18.422 -42 38 09.14 23.9i 13TB187 W84 C~4yRC 2014 01 01.14658 01 55 18.409 -42 38 09.11 23.3i 13TB187 W84 C~4yRC 2014 01 02.10542 01 55 16.580 -42 36 55.10 23.8g 13TB187 W84 C~4yRC 2014 01 02.10818 01 55 16.571 -42 36 54.69 23.4r 13TB187 W84 C~4yRC 2014 01 23.07099 01 55 08.740 -42 07 35.59 24.2g 13TB187 W84 C~4yRC 2014 01 24.07681 01 55 09.959 -42 06 06.49 23.4r 13TB187 W84 C~4yRC 2014 01 24.07819 01 55 09.932 -42 06 06.64 23.7i 13TB187 W84 C~4yRC 2016 09 08.22189 02 24 16.222 -39 33 58.69 22.8r 13TB187 W84 C~4yRC 2016 09 08.22326 02 24 16.210 -39 33 58.76 22.8i 13TB187 W84 C~4yRC 2016 09 08.22462 02 24 16.209 -39 33 58.83 23.3g 13TB187 W84 C~4yRC 2016 12 21.15742 02 13 00.30 -39 42 00.3 23.2r 13TB187 W84 C~3clP 2016 12 21.16431 02 13 00.269 -39 42 00.12 24.2g 13TB187 W84 C~4yRC 2017 11 10.30015 02 23 18.275 -38 56 18.81 22.8z 13TB187 W84 C~4yRC 2018 02 04.05201 02 18 03.801 -37 24 56.93 22.0i 13TB187 W84 C~4yRC 2018 02 04.05338 02 18 03.777 -37 24 56.92 22.0r 13TB187 W84 C~4yRC 2018 02 04.05475 02 18 03.812 -37 24 57.02 22.9g 13TB187 W84 C~4yRC 2018 11 09.24119 02 29 41.024 -37 37 53.96 22.8i 13TB187 W84 C~4yRC 2018 11 09.24255 02 29 40.990 -37 37 53.93 22.7r 13TB187 W84 C~4yRC 2018 12 01.23514 02 26 58.308 -37 30 07.47 23.9g 13TB187 W84 C~4yRC
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 -0.10 0.00 -0.10
2 0.0434 0.00 -0.28 0.00 0.17
3 0.0434 0.00 0.06 0.00 0.22
4 0.2214 0.00 -0.01 0.00 0.01
5 0.2214 0.00 -0.03 0.00 -0.00
6 0.2214 0.00 -0.18 0.00 -0.08
7 0.2240 0.00 0.05 0.00 -0.18
8 0.2240 0.00 -0.00 0.00 0.01
9 0.2814 0.00 -0.01 0.00 0.10
10 0.2841 0.00 0.37 0.00 0.09
11 0.2841 0.00 -0.06 0.00 -0.18
12 2.9074 0.00 0.17 0.00 0.10
13 2.9074 0.00 0.08 0.00 0.13
14 2.9074 0.00 0.16 0.00 0.15
15 3.1920 0.00 0.12 0.00 -0.00
16 3.1920 0.00 0.09 0.00 -0.30
17 4.0794 0.00 -0.22 0.00 0.05
18 4.3142 0.00 0.02 0.00 0.05
19 4.3142 0.00 -0.38 0.00 -0.08
20 4.3142 0.00 0.10 0.00 -0.31
21 5.0758 0.00 0.21 0.00 0.09
22 5.0758 0.00 -0.14 0.00 0.12
23 5.1360 0.00 0.02 0.00 0.02
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.
13TB187 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 78.018 78.016 78.020 ecceobj 0.789 0.789 0.789 incobj 50.802 50.802 50.802 qmin 16.069 16.076 16.072 qmax 150.801 149.524 142.912 amean 79.880 78.265 72.784 amin 76.073 74.090 70.035 amax 84.341 83.487 79.703 emean 0.784 0.783 0.766 emin 0.770 0.773 0.750 emax 0.795 0.791 0.793 imean 50.352 50.092 50.385 imin 48.957 49.056 49.041 imax 51.731 51.141 51.511 excite_mean 1.099 1.096 1.086 fracstop 0.194 0.109 0.108 cjmean 1.669 1.682 1.698 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 18.0 21.0 21.2 kozaiamp 7.1 4.3 4.4