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: 13TZ187 # Created Sun Dec 22 02:09:44 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 24 observations of 24 # Arc: 8.16y # First observation: 2013/10/03 # Last observation: 2021/12/01 # Chi-squared of fit: 7.40 DOF: 42 RMS: 0.10 # Min/Max residuals: -0.26 0.23 # Exact a, adot, b, bdot, g, gdot: 1.764273E-05 3.570945E-02 -3.013697E-06 -5.392165E-03 3.288433E-02 -1.693695E-03 # Covariance matrix: 3.2532E-13 -1.6970E-13 -2.8325E-14 2.3287E-14 -7.4894E-15 -4.8918E-13 -1.6970E-13 1.3352E-13 2.3298E-14 -1.9994E-14 4.5896E-14 4.1645E-13 -2.8325E-14 2.3298E-14 1.5899E-13 -3.0140E-14 -1.6733E-15 8.0532E-14 2.3287E-14 -1.9994E-14 -3.0140E-14 1.0518E-14 -4.1374E-15 -6.7102E-14 -7.4894E-15 4.5896E-14 -1.6733E-15 -4.1374E-15 2.6065E-13 6.3602E-14 -4.8918E-13 4.1645E-13 8.0532E-14 -6.7102E-14 6.3602E-14 1.4058E-12 # lat0 lon0 xBary yBary zBary JD0 -10.261213 24.646190 0.254611 -0.172269 -0.952238 2456568.793368 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 239.47841 +/- 0.035 Argument of Peri: 356.37035 +/- 0.029 Long of Asc Node: 155.61949 +/- 0.001 Inclination: 13.16572 +/- 0.000 Eccentricity: 0.06926242 +/- 0.0000 Semi-Major Axis: 30.19981460 +/- 0.0017 Time of Perihelion: 2476862.4779 +/- 6.7 Perihelion: 28.10810228 +/- 0.0020 Aphelion: 32.29152692 +/- 0.0022 Period (y) 165.9643 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.18228223 +/- 0.0004 Ecliptic Y 12.65344894 +/- 0.0002 Ecliptic Z -5.41717631 +/- 0.0001 Ecliptic XDOT -0.00144478 +/- 0.0000 Ecliptic YDOT 0.00260965 +/- 0.0000 Ecliptic ZDOT -0.00041650 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.36396823 +/- 0.0004 Geocenter to KBO 30.40967501 +/- 0.0005 # Hcoef: 8.12
The following table shows the complete astrometric record for 13TZ187. 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 (13TZ187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.29259 01 46 17.581 -00 00 43.58 24.6g 13TZ187 W84 C~4yRE 2013 10 04.20181 01 46 12.50 -00 01 21.0 23.7g 13TZ187 W84 C~3clQ 2014 08 18.36275 01 57 20.208 +00 55 58.82 22.0z 13TZ187 W84 C~4yRE 2014 10 01.33657 01 54 35.273 +00 27 52.43 22.9r 13TZ187 W84 C~4yRE 2014 10 01.33794 01 54 35.256 +00 27 52.49 22.6i 13TZ187 W84 C~4yRE 2014 10 03.32907 01 54 24.348 +00 26 30.71 23.1r 13TZ187 W84 C~4yRE 2014 10 23.27656 01 52 27.758 +00 13 34.90 23.1r 13TZ187 W84 C~4yRE 2014 10 23.27793 01 52 27.746 +00 13 34.83 22.2i 13TZ187 W84 C~4yRE 2014 12 25.08913 01 47 40.846 -00 03 50.17 22.6z 13TZ187 W84 C~4yRE 2015 09 04.32065 02 04 41.360 +01 13 08.49 22.9z 13TZ187 W84 C~4yRE 2015 11 20.13336 01 57 54.640 +00 27 15.84 22.8i 13TZ187 W84 C~4yRE 2016 01 12.05868 01 55 19.585 +00 26 37.49 22.9r 13TZ187 W84 C~4yRE 2016 11 11.18165 02 06 47.882 +00 57 35.30 22.3z 13TZ187 W84 C~4yRE 2016 11 27.12737 02 05 21.228 +00 51 51.82 23.6r 13TZ187 W84 C~4yRE 2017 10 13.24668 02 17 54.162 +01 41 07.01 22.7i 13TZ187 W84 C~4yRE 2017 10 13.24804 02 17 54.142 +01 41 06.73 23.2r 13TZ187 W84 C~4yRE 2018 09 11.33153 02 28 38.806 +02 29 12.75 22.6i 13TZ187 W84 C~4yRE 2018 09 11.33817 02 28 38.761 +02 29 12.56 23.4r 13TZ187 W84 C~4yRE 2018 11 29.17757 02 21 32.038 +01 45 28.50 24.1g 13TZ187 W84 C~4yRE 2021 12 01.23924 02 46 10.285 +03 05 54.60 13TZ187 304 C~5RzX 2021 12 01.24174 02 46 10.263 +03 05 54.49 13TZ187 304 C~5RzX 2021 12 01.24432 02 46 10.255 +03 05 54.50 13TZ187 304 C~5RzX 2021 12 01.24655 02 46 10.233 +03 05 54.40 13TZ187 304 C~5RzX 2021 12 01.24884 02 46 10.226 +03 05 54.28 13TZ187 304 C~5RzX
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 0.05
2 0.0025 0.00 0.16 0.00 -0.06
3 0.8736 0.00 0.06 0.00 -0.26
4 0.9940 0.00 0.12 0.00 -0.04
5 0.9940 0.00 -0.02 0.00 0.07
6 0.9994 0.00 0.07 0.00 0.01
7 1.0540 0.00 -0.03 0.00 0.02
8 1.0540 0.00 -0.08 0.00 0.00
9 1.2260 0.00 -0.06 0.00 0.06
10 1.9193 0.00 -0.02 0.00 0.04
11 2.1296 0.00 0.08 0.00 -0.14
12 2.2745 0.00 -0.08 0.00 0.02
13 3.1072 0.00 -0.06 0.00 0.13
14 3.1508 0.00 -0.08 0.00 0.00
15 4.0273 0.00 0.09 0.00 0.15
16 4.0273 0.00 -0.09 0.00 -0.07
17 4.9392 0.00 0.11 0.00 0.04
18 4.9392 0.00 -0.22 0.00 0.10
19 5.1551 0.00 0.23 0.00 0.14
20 8.1614 0.00 0.07 0.00 0.02
21 8.1614 0.00 -0.05 0.00 -0.05
22 8.1614 0.00 0.05 0.00 0.00
23 8.1614 0.00 -0.09 0.00 -0.06
24 8.1614 0.00 -0.00 0.00 -0.15
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.
13TZ187 quality flag:3 Type: 1:1 1:1 1:1 axisobj 30.312 30.312 30.312 ecceobj 0.064 0.064 0.064 incobj 13.137 13.137 13.137 qmin 27.516 27.516 27.516 qmax 32.800 32.801 32.799 amean 30.110 30.110 30.110 amin 29.837 29.838 29.837 amax 30.428 30.434 30.424 emean 0.059 0.059 0.059 emin 0.037 0.037 0.037 emax 0.081 0.081 0.081 imean 12.057 12.056 12.057 imin 11.857 11.857 11.858 imax 12.210 12.210 12.210 excite_mean 0.217 0.217 0.217 fracstop 1.000 1.000 1.000 cjmean 2.955 2.955 2.955 libcent 0 61.8 61.5 61.8 libamp 0 15.8 15.4 15.7 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 177.3 177.2 177.3 kozaiamp 180.0 179.9 180.0