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: 13TC228 # Created Fri Nov 22 02:09:43 2024 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 4.93y # First observation: 2013/10/04 # Last observation: 2018/09/09 Preliminary a, adot, b, bdot, g, gdot: -0.000015 0.020663 0.000056 -0.007170 0.023962 0.000000 # Chi-squared of fit: 7.78 DOF: 16 RMS: 0.15 # Min/Max residuals: -0.29 0.28 # Exact a, adot, b, bdot, g, gdot: 1.325857E-05 2.038209E-02 -5.805553E-06 -7.055672E-03 2.307456E-02 -3.013019E-03 # Covariance matrix: 4.5246E-13 -1.9387E-13 -1.0019E-14 2.7485E-14 1.1038E-13 -8.7704E-13 -1.9387E-13 5.8853E-13 5.6570E-14 -1.9562E-13 7.0088E-13 6.2663E-12 -1.0019E-14 5.6570E-14 4.0609E-13 -1.2425E-13 6.7765E-14 6.4364E-13 2.7485E-14 -1.9562E-13 -1.2425E-13 1.1071E-13 -2.7726E-13 -2.2541E-12 1.1038E-13 7.0088E-13 6.7765E-14 -2.7726E-13 2.2454E-12 8.9016E-12 -8.7704E-13 6.2663E-12 6.4364E-13 -2.2541E-12 8.9016E-12 7.2217E-11 # lat0 lon0 xBary yBary zBary JD0 -4.971510 0.626632 -0.177100 -0.085209 -0.980840 2456569.727038 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 277.79865 +/- 0.119 Argument of Peri: 292.55328 +/- 0.078 Long of Asc Node: 167.08335 +/- 0.000 Inclination: 19.65459 +/- 0.001 Eccentricity: 0.13756917 +/- 0.0004 Semi-Major Axis: 44.31304311 +/- 0.0128 Time of Perihelion: 2481162.6019 +/- 34.1 Perihelion: 38.21693451 +/- 0.0204 Aphelion: 50.40915170 +/- 0.0225 Period (y) 294.9888 +/- 0.13 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 44.15422334 +/- 0.0028 Ecliptic Y 0.66305525 +/- 0.0000 Ecliptic Z -3.75594967 +/- 0.0002 Ecliptic XDOT -0.00046130 +/- 0.0000 Ecliptic YDOT 0.00241218 +/- 0.0000 Ecliptic ZDOT -0.00080290 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.31864438 +/- 0.0028 Geocenter to KBO 43.33777591 +/- 0.0028 # Hcoef: 7.22
The following table shows the complete astrometric record for 13TC228. 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 (13TC228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.22626 00 10 13.416 -04 18 40.68 23.7r 13TC228 W84 C~52Rf 2013 10 04.22766 00 10 13.412 -04 18 40.95 23.1i 13TC228 W84 C~52Rf 2013 10 13.13618 00 09 37.146 -04 22 56.80 23.3z 13TC228 W84 C~52Rf 2014 11 13.11680 00 12 49.100 -04 28 25.03 24.2i 13TC228 W84 C~52Rf 2016 09 05.24232 00 27 07.242 -03 45 44.06 23.5r 13TC228 W84 C~52Rf 2016 11 26.12792 00 22 11.434 -04 19 27.24 24.4r 13TC228 W84 C~52Rf 2017 09 24.30386 00 30 53.279 -03 49 42.72 22.7i 13TC228 W84 C~52Rf 2017 09 26.29753 00 30 44.838 -03 50 46.89 23.8r 13TC228 W84 C~52Rf 2017 09 26.30165 00 30 44.838 -03 50 46.97 22.7i 13TC228 W84 C~52Rf 2017 10 17.23932 00 29 16.827 -04 01 12.99 23.4r 13TC228 W84 C~52Rf 2018 09 09.34532 00 36 58.753 -03 35 03.07 23.5r 13TC228 W84 C~52Rf
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 0.15 0.00 0.20
2 0.0000 -0.16 0.08 -0.22 -0.02
3 0.0244 -599.62 -0.15 -18.53 0.04
4 1.1085 1901.52 -0.00 -1465.49 -0.18
5 2.9213 14714.67 -0.29 -4285.19 -0.09
6 3.1455 9830.12 -0.14 -4349.81 -0.16
7 3.9728 17733.72 0.28 -5879.72 0.00
8 3.9783 17591.14 -0.03 -5887.12 -0.04
9 3.9783 17591.11 0.24 -5887.20 -0.10
10 4.0356 16123.09 -0.02 -5925.31 0.24
11 4.9312 23149.00 -0.12 -7310.98 0.11
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.
13TC228 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.538 44.574 44.503 ecceobj 0.136 0.137 0.135 incobj 19.589 19.589 19.590 qmin 37.654 37.645 37.616 qmax 51.311 51.404 51.387 amean 44.324 44.363 44.308 amin 43.948 43.997 43.920 amax 44.729 44.770 44.736 emean 0.133 0.134 0.133 emin 0.119 0.120 0.119 emax 0.148 0.148 0.149 imean 19.201 19.202 19.205 imin 18.760 18.740 18.786 imax 19.659 19.659 19.699 excite_mean 0.355 0.355 0.355 fracstop 1.000 1.000 1.000 cjmean 2.950 2.950 2.950 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 175.7 176.1 175.8 kozaiamp 180.0 180.0 180.0