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: 13TG187 # Created Sun Dec 22 02:09:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 10.97y # First observation: 2013/10/13 # Last observation: 2024/10/01 # Chi-squared of fit: 15.26 DOF: 40 RMS: 0.14 # Min/Max residuals: -0.39 0.49 # Exact a, adot, b, bdot, g, gdot: 1.646505E-05 2.855164E-02 -1.196688E-06 -2.667031E-03 2.646903E-02 4.917825E-03 # Covariance matrix: 3.2022E-13 -1.1196E-13 -1.2675E-14 7.5717E-15 1.9103E-13 -2.5925E-13 -1.1196E-13 6.2251E-14 7.5072E-15 -5.0204E-15 -4.9959E-14 1.7711E-13 -1.2675E-14 7.5072E-15 1.5247E-13 -2.2530E-14 -9.8554E-15 2.2815E-14 7.5717E-15 -5.0204E-15 -2.2530E-14 6.0294E-15 2.6438E-15 -1.6045E-14 1.9103E-13 -4.9959E-14 -9.8554E-15 2.6438E-15 5.3108E-13 -5.8947E-14 -2.5925E-13 1.7711E-13 2.2815E-14 -1.6045E-14 -5.8947E-14 5.7290E-13 # lat0 lon0 xBary yBary zBary JD0 -2.711304 3.551328 -0.276084 -0.045223 -0.957382 2456578.633748 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 33.11529 +/- 0.012 Argument of Peri: 152.52061 +/- 0.016 Long of Asc Node: 157.69610 +/- 0.001 Inclination: 5.95747 +/- 0.000 Eccentricity: 0.25121489 +/- 0.0001 Semi-Major Axis: 47.47170607 +/- 0.0075 Time of Perihelion: 2445589.0310 +/- 4.7 Perihelion: 35.54610676 +/- 0.0069 Aphelion: 59.39730539 +/- 0.0102 Period (y) 327.0849 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.60421399 +/- 0.0010 Ecliptic Y 2.67554624 +/- 0.0001 Ecliptic Z -1.78720587 +/- 0.0001 Ecliptic XDOT 0.00030501 +/- 0.0000 Ecliptic YDOT 0.00297682 +/- 0.0000 Ecliptic ZDOT -0.00029948 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.73795521 +/- 0.0010 Geocenter to KBO 37.77993468 +/- 0.0010 # Hcoef: 7.59
The following table shows the complete astrometric record for 13TG187. 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 (13TG187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.13297 00 17 20.53 -01 04 35.6 22.8i 13TG187 W84 C~3clQ 2013 11 22.09111 00 14 59.194 -01 19 03.48 23.4r 13TG187 W84 C~4yRC 2013 11 22.09392 00 14 59.181 -01 19 03.62 23.4i 13TG187 W84 C~4yRC 2013 11 23.09694 00 14 57.045 -01 19 14.92 23.6r 13TG187 W84 C~4yRC 2014 08 18.30649 00 27 34.235 -00 05 46.94 22.1z 13TG187 W84 C~4yRC 2014 11 13.08903 00 21 33.241 -00 46 39.00 23.8r 13TG187 W84 C~4yRC 2014 11 13.09038 00 21 33.235 -00 46 38.93 22.8i 13TG187 W84 C~4yRC 2014 11 13.15009 00 21 33.049 -00 46 39.87 23.2z 13TG187 W84 C~4yRC 2015 10 17.15966 00 29 25.893 -00 05 51.58 23.9r 13TG187 W84 C~4yRC 2016 10 23.13407 00 35 00.765 +00 20 44.53 23.4r 13TG187 W84 C~4yRC 2016 11 08.13336 00 33 57.498 +00 14 18.55 23.1z 13TG187 W84 C~4yRC 2016 11 18.11310 00 33 25.568 +00 11 16.53 23.8r 13TG187 W84 C~4yRC 2016 12 04.07842 00 32 50.220 +00 08 18.34 23.1z 13TG187 W84 C~4yRC 2017 10 27.14650 00 40 45.179 +00 48 27.79 23.0z 13TG187 W84 C~4yRC 2018 09 17.31851 00 49 43.880 +01 37 29.34 22.7i 13TG187 W84 C~4yRC 2019 09 27.33950 00 54 53.90 +02 01 08.7 24.3g 13TG187 T09 C~8MUR 2019 09 27.42993 00 54 53.47 +02 01 06.1 24.4g 13TG187 T09 C~8MUR 2019 09 27.52510 00 54 53.01 +02 01 02.9 24.6g 13TG187 T09 C~8MUR 2019 09 27.52719 00 54 53.01 +02 01 02.9 24.5g 13TG187 T09 C~8MUR 2019 09 27.59468 00 54 52.71 +02 01 00.8 24.6g 13TG187 T09 C~8MUR 2024 10 01.357760 01 23 11.893 +04 16 33.63 23.5G 13TG187 G37 C~8Gz9 2024 10 01.401600 01 23 11.688 +04 16 32.33 13TG187 G37 C~8Gz9 2024 10 01.445750 01 23 11.511 +04 16 30.91 13TG187 G37 C~8Gz9
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 0.14 0.00 -0.03
2 0.1094 0.00 0.00 0.00 -0.06
3 0.1094 0.00 -0.10 0.00 -0.16
4 0.1122 0.00 -0.03 0.00 -0.03
5 0.8465 0.00 -0.05 0.00 -0.01
6 1.0841 0.00 0.04 0.00 -0.08
7 1.0841 0.00 0.01 0.00 0.01
8 1.0842 0.00 0.00 0.00 0.12
9 2.0097 0.00 -0.02 0.00 -0.05
10 3.0281 0.00 -0.05 0.00 0.27
11 3.0719 0.00 0.04 0.00 -0.06
12 3.0992 0.00 0.00 0.00 0.14
13 3.1429 0.00 0.08 0.00 -0.01
14 4.0384 0.00 0.12 0.00 -0.05
15 4.9286 0.00 0.49 0.00 -0.24
16 5.9554 0.00 0.09 0.00 0.08
17 5.9556 0.00 -0.10 0.00 0.27
18 5.9559 0.00 -0.39 0.00 0.01
19 5.9559 0.00 -0.25 0.00 0.07
20 5.9561 0.00 -0.08 0.00 0.06
21 10.9684 0.00 0.01 0.00 -0.02
22 10.9686 0.00 -0.10 0.00 -0.04
23 10.9687 0.00 0.22 0.00 -0.17
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.
13TG187 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.816 47.816 47.816 ecceobj 0.256 0.256 0.256 incobj 5.942 5.942 5.942 qmin 34.767 34.764 34.765 qmax 62.017 62.016 61.894 amean 47.797 47.797 47.797 amin 47.067 47.095 47.097 amax 48.633 48.628 48.623 emean 0.258 0.258 0.258 emin 0.241 0.242 0.241 emax 0.276 0.276 0.275 imean 5.222 5.237 5.225 imin 4.802 4.819 4.802 imax 5.686 5.727 5.691 excite_mean 0.274 0.274 0.274 fracstop 1.000 1.000 1.000 cjmean 3.054 3.054 3.054 libcent 0 180.3 180.6 180.5 libamp 0 157.5 157.3 157.5 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 168.1 168.9 168.9 kozaiamp 179.9 179.9 180.0