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: 13TC188 # Created Sun Oct 19 01:10:04 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 7.18y # First observation: 2013/09/09 # Last observation: 2020/11/14 # Chi-squared of fit: 23.79 DOF: 46 RMS: 0.17 # Min/Max residuals: -0.33 0.83 # Exact a, adot, b, bdot, g, gdot: 1.702243E-05 2.780960E-02 -1.165685E-06 -1.498960E-04 2.614637E-02 -2.149288E-04 # Covariance matrix: 5.5353E-13 -1.8139E-13 -3.9215E-15 6.2705E-16 7.5439E-14 -6.6705E-13 -1.8139E-13 2.5180E-13 -1.4195E-16 -1.6652E-15 2.4786E-13 1.3836E-12 -3.9215E-15 -1.4195E-16 3.2488E-13 -7.4112E-14 -4.3959E-15 -2.9330E-16 6.2705E-16 -1.6652E-15 -7.4112E-14 2.0634E-14 -1.9405E-15 -9.9463E-15 7.5439E-14 2.4786E-13 -4.3959E-15 -1.9405E-15 4.6846E-13 1.4569E-12 -6.6705E-13 1.3836E-12 -2.9330E-16 -9.9463E-15 1.4569E-12 8.2848E-12 # lat0 lon0 xBary yBary zBary JD0 -11.501750 23.002953 0.599660 -0.161477 -0.794063 2456544.844978 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 349.70536 +/- 0.039 Argument of Peri: 280.72606 +/- 0.051 Long of Asc Node: 114.67991 +/- 0.002 Inclination: 11.27423 +/- 0.000 Eccentricity: 0.12266114 +/- 0.0001 Semi-Major Axis: 44.37550369 +/- 0.0044 Time of Perihelion: 2459632.1073 +/- 19.5 Perihelion: 38.93235365 +/- 0.0051 Aphelion: 49.81865372 +/- 0.0059 Period (y) 295.6127 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.47776923 +/- 0.0009 Ecliptic Y 14.41341693 +/- 0.0004 Ecliptic Z -7.62628283 +/- 0.0002 Ecliptic XDOT -0.00116731 +/- 0.0000 Ecliptic YDOT 0.00266947 +/- 0.0000 Ecliptic ZDOT -0.00001075 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.04587230 +/- 0.0008 Geocenter to KBO 38.24626248 +/- 0.0010 # Hcoef: 7.23
The following table shows the complete astrometric record for 13TC188. 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 (13TC188) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.34420 01 42 05.171 -01 45 17.37 23.3g 13TC188 W84 C~4yRF 2013 10 03.29120 01 40 27.65 -01 58 05.6 23.6g 13TC188 W84 C~3clR 2014 11 16.15940 01 43 01.195 -01 41 17.06 22.9i 13TC188 W84 C~4yRF 2015 11 01.20010 01 50 08.434 -01 01 49.03 22.8i 13TC188 W84 C~4yRF 2015 11 02.14393 01 50 03.907 -01 02 10.38 23.0r 13TC188 W84 C~4yRF 2015 12 18.08459 01 47 10.973 -01 09 40.87 23.0z 13TC188 W84 C~4yRF 2015 12 18.13287 01 47 10.881 -01 09 40.66 22.8i 13TC188 W84 C~4yRF 2016 01 12.06145 01 46 44.905 -01 04 24.71 22.5r 13TC188 W84 C~4yRF 2016 11 03.17412 01 55 53.436 -00 28 05.74 23.1r 13TC188 W84 C~4yRF 2016 11 10.13098 01 55 20.635 -00 30 27.41 22.2z 13TC188 W84 C~4yRF 2016 12 06.08106 01 53 36.235 -00 35 24.22 21.9z 13TC188 W84 C~4yRF 2017 11 16.16122 02 00 51.927 +00 02 35.46 23.2r 13TC188 W84 C~4yRF 2017 11 16.16261 02 00 51.922 +00 02 35.52 23.1i 13TC188 W84 C~4yRF 2017 11 16.16399 02 00 51.918 +00 02 35.69 24.2g 13TC188 W84 C~4yRF 2018 01 10.23916 01 58 25.37 +00 03 09.0 24.2g 13TC188 T09 C~7xNr 2018 01 10.26745 01 58 25.36 +00 03 09.5 24.2g 13TC188 T09 C~7xNr 2018 01 10.33162 01 58 25.35 +00 03 10.9 24.2g 13TC188 T09 C~7xNr 2018 01 10.34309 01 58 25.35 +00 03 11.0 24.5g 13TC188 T09 C~7xNr 2018 09 14.36786 02 11 32.772 +01 05 16.63 23.1r 13TC188 W84 C~4yRF 2018 09 14.36923 02 11 32.772 +01 05 16.65 22.6i 13TC188 W84 C~4yRF 2018 09 14.37060 02 11 32.775 +01 05 16.66 23.5g 13TC188 W84 C~4yRF 2018 10 20.20080 02 09 01.108 +00 47 33.21 22.8z 13TC188 W84 C~4yRF 2018 11 07.22536 02 07 32.966 +00 40 13.50 22.7r 13TC188 W84 C~4yRF 2018 11 07.22811 02 07 32.969 +00 40 13.28 23.5g 13TC188 W84 C~4yRF 2020 11 14.216890 02 18 55.417 +01 47 26.93 23.3G 13TC188 G37 C~4Nkr 2020 11 14.297940 02 18 55.039 +01 47 24.60 13TC188 G37 C~4Nkr
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 -0.12 0.00 0.19
2 0.0656 0.00 -0.13 0.00 0.10
3 1.1850 0.00 0.03 0.00 0.08
4 2.1433 0.00 0.04 0.00 -0.03
5 2.1459 0.00 -0.08 0.00 0.05
6 2.2717 0.00 -0.06 0.00 0.07
7 2.2718 0.00 0.20 0.00 0.06
8 2.3401 0.00 0.06 0.00 0.02
9 3.1508 0.00 -0.01 0.00 0.01
10 3.1698 0.00 0.13 0.00 0.07
11 3.2409 0.00 0.06 0.00 -0.22
12 4.1857 0.00 0.08 0.00 -0.21
13 4.1857 0.00 0.10 0.00 -0.13
14 4.1857 0.00 0.14 0.00 0.06
15 4.3365 0.00 -0.20 0.00 -0.09
16 4.3365 0.00 -0.20 0.00 -0.10
17 4.3367 0.00 -0.02 0.00 0.15
18 4.3368 0.00 0.04 0.00 0.04
19 5.0131 0.00 -0.05 0.00 -0.14
20 5.0131 0.00 0.02 0.00 -0.08
21 5.0131 0.00 0.14 0.00 -0.03
22 5.1112 0.00 -0.03 0.00 -0.10
23 5.1605 0.00 0.01 0.00 -0.17
24 5.1605 0.00 0.25 0.00 -0.33
25 7.1810 0.00 -0.22 0.00 0.83
26 7.1813 0.00 -0.03 0.00 -0.04
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.
13TC188 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.637 44.637 44.638 ecceobj 0.127 0.127 0.127 incobj 11.274 11.274 11.274 qmin 38.019 38.016 38.091 qmax 50.863 50.999 50.770 amean 44.302 44.316 44.286 amin 43.927 43.937 43.919 amax 44.719 44.741 44.714 emean 0.124 0.125 0.123 emin 0.109 0.110 0.108 emax 0.138 0.140 0.137 imean 9.777 9.780 9.776 imin 9.133 9.132 9.139 imax 10.491 10.489 10.486 excite_mean 0.211 0.211 0.210 fracstop 1.000 1.000 1.000 cjmean 3.052 3.052 3.052 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 177.7 177.6 177.4 kozaiamp 180.0 180.0 180.0