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: 13TJ187 # Created Wed Dec 25 02:09:38 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 6.07y # First observation: 2013/09/02 # Last observation: 2019/09/27 # Chi-squared of fit: 9.64 DOF: 50 RMS: 0.10 # Min/Max residuals: -0.23 0.24 # Exact a, adot, b, bdot, g, gdot: 1.480062E-05 2.220192E-02 3.455259E-06 3.449480E-03 2.369991E-02 2.475723E-03 # Covariance matrix: 3.9301E-13 -9.9040E-14 2.0060E-15 -7.7989E-15 2.1532E-13 -4.3341E-13 -9.9040E-14 1.0952E-13 -1.2787E-14 1.7141E-14 2.8297E-14 8.6792E-13 2.0060E-15 -1.2787E-14 1.7827E-13 -4.2879E-14 -1.1177E-14 -1.1838E-13 -7.7989E-15 1.7141E-14 -4.2879E-14 1.6410E-14 8.4185E-15 1.5602E-13 2.1532E-13 2.8297E-14 -1.1177E-14 8.4185E-15 3.0704E-13 3.7680E-13 -4.3341E-13 8.6792E-13 -1.1838E-13 1.5602E-13 3.7680E-13 7.8797E-12 # lat0 lon0 xBary yBary zBary JD0 -6.344502 3.536312 0.408015 -0.102015 -0.918327 2456537.840508 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 88.79252 +/- 0.058 Argument of Peri: 224.35564 +/- 0.045 Long of Asc Node: 38.11878 +/- 0.001 Inclination: 10.70675 +/- 0.000 Eccentricity: 0.09862325 +/- 0.0001 Semi-Major Axis: 42.78897889 +/- 0.0041 Time of Perihelion: 2431322.8484 +/- 16.9 Perihelion: 38.56899075 +/- 0.0063 Aphelion: 47.00896704 +/- 0.0068 Period (y) 279.9021 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.80309330 +/- 0.0010 Ecliptic Y 2.23950526 +/- 0.0000 Ecliptic Z -4.66260020 +/- 0.0001 Ecliptic XDOT 0.00016327 +/- 0.0000 Ecliptic YDOT 0.00257907 +/- 0.0000 Ecliptic ZDOT 0.00036458 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.11443662 +/- 0.0010 Geocenter to KBO 42.19420882 +/- 0.0010 # Hcoef: 7.10
The following table shows the complete astrometric record for 13TJ187. 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 (13TJ187) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.33973 00 23 04.311 -04 24 58.64 24.5g 13TJ187 W84 C~4yRD 2013 10 13.15746 00 20 08.59 -04 42 50.7 23.4i 13TJ187 W84 C~3clQ 2013 10 13.15883 00 20 08.591 -04 42 50.64 23.1z 13TJ187 W84 C~4yRD 2013 11 23.13213 00 17 49.616 -04 52 16.63 23.6r 13TJ187 W84 C~4yRD 2013 11 23.13496 00 17 49.611 -04 52 16.63 23.2i 13TJ187 W84 C~4yRD 2013 12 02.11033 00 17 33.558 -04 52 22.34 22.9r 13TJ187 W84 C~4yRD 2014 10 02.24072 00 25 19.17 -03 57 07.6 23.2i 13TJ187 W84 C~3clQ 2014 11 14.12260 00 22 32.693 -04 10 30.80 22.8i 13TJ187 W84 C~4yRD 2014 11 15.10699 00 22 29.906 -04 10 39.85 23.0z 13TJ187 W84 C~4yRD 2016 09 09.16734 00 35 33.988 -02 24 59.26 22.8i 13TJ187 W84 C~4yRD 2016 09 09.16872 00 35 33.981 -02 24 59.45 22.7z 13TJ187 W84 C~4yRD 2016 09 09.27089 00 35 33.562 -02 25 01.97 23.7r 13TJ187 W84 C~4yRD 2016 10 01.19983 00 33 59.707 -02 34 48.97 23.1r 13TJ187 W84 C~4yRD 2016 10 01.20122 00 33 59.684 -02 34 49.10 23.1i 13TJ187 W84 C~4yRD 2016 11 18.07307 00 30 55.032 -02 49 49.68 23.4r 13TJ187 W84 C~4yRD 2016 11 18.07445 00 30 55.024 -02 49 49.50 24.1g 13TJ187 W84 C~4yRD 2017 09 18.24293 00 39 13.871 -01 48 07.06 23.1i 13TJ187 W84 C~4yRD 2017 09 18.24430 00 39 13.873 -01 48 07.16 23.5r 13TJ187 W84 C~4yRD 2017 09 18.24567 00 39 13.862 -01 48 07.15 24.3g 13TJ187 W84 C~4yRD 2017 10 22.15797 00 36 46.716 -02 02 13.73 22.8z 13TJ187 W84 C~4yRD 2017 10 28.17095 00 36 22.418 -02 04 14.84 22.1z 13TJ187 W84 C~4yRD 2018 09 09.34244 00 44 06.375 -01 03 23.75 23.2r 13TJ187 W84 C~4yRD 2018 11 08.17671 00 39 57.408 -01 26 43.69 23.4r 13TJ187 W84 C~4yRD 2018 11 08.17810 00 39 57.408 -01 26 43.43 22.7i 13TJ187 W84 C~4yRD 2018 11 27.08173 00 39 02.222 -01 30 01.81 23.9g 13TJ187 W84 C~4yRD 2019 09 27.30586 00 47 07.08 -00 30 36.0 25.1g 13TJ187 T09 C~85E0 2019 09 27.50183 00 47 06.21 -00 30 41.2 24.6g 13TJ187 T09 C~85E0 2019 09 27.56948 00 47 05.91 -00 30 42.8 25.2g 13TJ187 T09 C~85E0
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 -0.22
2 0.1118 0.00 -0.11 0.00 -0.00
3 0.1118 0.00 -0.00 0.00 0.09
4 0.2239 0.00 0.01 0.00 0.03
5 0.2239 0.00 0.02 0.00 0.04
6 0.2485 0.00 0.03 0.00 0.04
7 1.0812 0.00 -0.03 0.00 0.02
8 1.1986 0.00 -0.22 0.00 0.22
9 1.2013 0.00 0.03 0.00 0.07
10 3.0194 0.00 0.07 0.00 -0.02
11 3.0194 0.00 0.05 0.00 -0.17
12 3.0197 0.00 0.03 0.00 0.04
13 3.0797 0.00 0.24 0.00 -0.05
14 3.0797 0.00 -0.01 0.00 -0.14
15 3.2108 0.00 0.00 0.00 0.05
16 3.2108 0.00 -0.06 0.00 0.24
17 4.0435 0.00 -0.06 0.00 -0.05
18 4.0435 0.00 0.06 0.00 -0.12
19 4.0435 0.00 -0.01 0.00 -0.07
20 4.1364 0.00 0.03 0.00 -0.03
21 4.1529 0.00 0.01 0.00 -0.13
22 5.0185 0.00 0.05 0.00 0.01
23 5.1823 0.00 -0.01 0.00 -0.09
24 5.1823 0.00 0.06 0.00 0.19
25 5.2341 0.00 0.05 0.00 -0.23
26 6.0670 0.00 -0.02 0.00 0.09
27 6.0675 0.00 -0.08 0.00 0.04
28 6.0677 0.00 -0.10 0.00 0.22
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.
13TJ187 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.021 43.022 43.021 ecceobj 0.100 0.100 0.100 incobj 10.693 10.693 10.693 qmin 37.765 37.771 37.822 qmax 48.110 48.102 48.197 amean 42.828 42.828 42.828 amin 42.477 42.475 42.479 amax 43.192 43.211 43.202 emean 0.095 0.095 0.095 emin 0.078 0.077 0.077 emax 0.115 0.115 0.116 imean 9.449 9.449 9.449 imin 8.571 8.574 8.571 imax 10.375 10.380 10.377 excite_mean 0.189 0.190 0.189 fracstop 1.000 1.000 1.000 cjmean 3.045 3.045 3.045 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 180.7 180.8 180.6 kozaiamp 180.0 180.0 180.0