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: 13TC187 # Created Sun Dec 22 02:09:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 5.01y # First observation: 2013/10/13 # Last observation: 2018/10/18 # Chi-squared of fit: 1.63 DOF: 30 RMS: 0.05 # Min/Max residuals: -0.16 0.09 # Exact a, adot, b, bdot, g, gdot: 1.618517E-05 2.535391E-02 3.931951E-07 1.955049E-04 2.502753E-02 -8.934860E-05 # Covariance matrix: 5.1086E-13 1.2423E-14 -3.7082E-15 7.5129E-16 8.8381E-13 7.0366E-13 1.2423E-14 2.6753E-13 -2.8288E-15 2.1457E-15 5.2347E-13 2.2712E-12 -3.7082E-15 -2.8288E-15 2.0563E-13 -6.1009E-14 -1.3477E-14 -2.7078E-14 7.5129E-16 2.1457E-15 -6.1009E-14 3.0155E-14 4.9558E-15 2.0529E-14 8.8381E-13 5.2347E-13 -1.3477E-14 4.9558E-15 2.9987E-12 5.0117E-12 7.0366E-13 2.2712E-12 -2.7078E-14 2.0529E-14 5.0117E-12 2.1729E-11 # lat0 lon0 xBary yBary zBary JD0 -0.959513 7.082677 -0.215853 -0.016196 -0.973658 2456578.594138 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 359.62590 +/- 0.155 Argument of Peri: 295.97189 +/- 0.177 Long of Asc Node: 71.83912 +/- 0.019 Inclination: 1.03821 +/- 0.000 Eccentricity: 0.06361132 +/- 0.0002 Semi-Major Axis: 43.71047489 +/- 0.0122 Time of Perihelion: 2456688.1888 +/- 63.2 Perihelion: 40.92999404 +/- 0.0143 Aphelion: 46.49095575 +/- 0.0156 Period (y) 288.9924 +/- 0.12 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.58472644 +/- 0.0027 Ecliptic Y 5.26328836 +/- 0.0003 Ecliptic Z -0.66911271 +/- 0.0000 Ecliptic XDOT -0.00035749 +/- 0.0000 Ecliptic YDOT 0.00274978 +/- 0.0000 Ecliptic ZDOT 0.00002169 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.93006180 +/- 0.0027 Geocenter to KBO 39.95604818 +/- 0.0028 # Hcoef: 7.01
The following table shows the complete astrometric record for 13TC187. 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 (13TC187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.09336 00 27 31.89 +01 55 47.4 22.7z 13TC187 W84 C~3clP 2013 10 13.12065 00 27 31.768 +01 55 46.66 22.8i 13TC187 W84 C~4yRC 2013 11 08.16809 00 25 48.112 +01 45 00.27 23.2r 13TC187 W84 C~4yRC 2013 11 22.09533 00 25 08.015 +01 40 59.50 23.4r 13TC187 W84 C~4yRC 2013 11 22.09673 00 25 08.011 +01 40 59.48 23.0i 13TC187 W84 C~4yRC 2013 11 23.10640 00 25 05.646 +01 40 45.71 23.0i 13TC187 W84 C~4yRC 2014 10 29.19088 00 31 43.720 +02 23 44.01 23.1r 13TC187 W84 C~4yRC 2015 11 07.08553 00 36 29.019 +02 55 08.39 23.6r 13TC187 W84 C~4yRC 2015 11 07.08690 00 36 29.023 +02 55 08.31 23.0i 13TC187 W84 C~4yRC 2015 11 07.08828 00 36 29.015 +02 55 08.38 24.1g 13TC187 W84 C~4yRC 2016 11 08.11440 00 41 40.507 +03 29 06.93 22.6z 13TC187 W84 C~4yRC 2016 11 18.08408 00 41 07.605 +03 25 48.78 23.2r 13TC187 W84 C~4yRC 2016 11 18.12288 00 41 07.484 +03 25 48.28 23.5i 13TC187 W84 C~4yRC 2016 11 18.12426 00 41 07.485 +03 25 48.20 23.2z 13TC187 W84 C~4yRC 2016 11 26.10227 00 40 46.018 +03 23 41.82 23.1r 13TC187 W84 C~4yRC 2016 11 26.10867 00 40 46.001 +03 23 41.91 22.6i 13TC187 W84 C~4yRC 2018 10 18.19756 00 53 47.720 +04 47 11.88 22.3z 13TC187 W84 C~4yRC 2018 10 18.19894 00 53 47.711 +04 47 11.85 21.8i 13TC187 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 -0.01 0.00 -0.06
2 0.0001 0.00 0.01 0.00 -0.04
3 0.0714 0.00 0.06 0.00 0.01
4 0.1095 0.00 0.00 0.00 0.03
5 0.1095 0.00 -0.01 0.00 0.03
6 0.1123 0.00 -0.07 0.00 0.06
7 1.0434 0.00 -0.01 0.00 -0.01
8 2.0671 0.00 -0.05 0.00 0.04
9 2.0671 0.00 0.09 0.00 -0.01
10 2.0671 0.00 0.05 0.00 0.09
11 3.0719 0.00 -0.04 0.00 -0.04
12 3.0992 0.00 0.03 0.00 -0.10
13 3.0993 0.00 -0.00 0.00 0.09
14 3.0993 0.00 0.07 0.00 0.03
15 3.1212 0.00 -0.00 0.00 -0.16
16 3.1212 0.00 -0.02 0.00 0.02
17 5.0133 0.00 0.01 0.00 0.03
18 5.0133 0.00 -0.02 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.
13TC187 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EEE axisobj 43.976 43.976 43.976 ecceobj 0.070 0.070 0.070 incobj 1.038 1.038 1.038 qmin 40.387 40.387 40.386 qmax 47.318 47.318 47.319 amean 43.727 43.727 43.727 amin 43.375 43.375 43.375 amax 44.094 44.094 44.094 emean 0.061 0.061 0.061 emin 0.049 0.049 0.049 emax 0.073 0.073 0.073 imean 0.967 0.968 0.967 imin 0.138 0.138 0.138 imax 1.530 1.530 1.530 excite_mean 0.064 0.064 0.064 fracstop 1.000 1.000 1.000 cjmean 3.093 3.093 3.093 libcent 0 180.1 180.1 180.0 libamp 0 84.3 84.3 84.5 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 200.7 200.7 200.7 kozaiamp 178.7 178.7 178.7