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: 13TG228 # Created Wed Apr 16 01:09:51 2025 # Orbit generated from Bernstein formalism # Fitting 20 observations of 20 # Arc: 4.25y # First observation: 2013/10/04 # Last observation: 2018/01/05 Preliminary a, adot, b, bdot, g, gdot: 0.000076 0.026822 0.000006 -0.000585 0.025509 0.000000 # Chi-squared of fit: 13.45 DOF: 34 RMS: 0.14 # Min/Max residuals: -0.46 0.31 # Exact a, adot, b, bdot, g, gdot: 1.682969E-05 2.676962E-02 -1.571103E-06 -5.666836E-04 2.528274E-02 -1.452035E-03 # Covariance matrix: 2.8071E-13 -1.1672E-13 2.1827E-15 -6.9171E-15 1.6890E-13 -1.1947E-12 -1.1672E-13 1.2536E-12 6.6920E-15 -3.8679E-14 1.4303E-12 1.0414E-11 2.1827E-15 6.6920E-15 1.6316E-13 -5.7472E-14 1.3093E-14 4.2272E-14 -6.9171E-15 -3.8679E-14 -5.7472E-14 3.8223E-14 -6.3806E-14 -2.7832E-13 1.6890E-13 1.4303E-12 1.3093E-14 -6.3806E-14 2.1785E-12 1.0811E-11 -1.1947E-12 1.0414E-11 4.2272E-14 -2.7832E-13 1.0811E-11 9.3177E-11 # lat0 lon0 xBary yBary zBary JD0 -18.965761 31.528154 0.353011 -0.304082 -0.885188 2456569.766588 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 341.08580 +/- 0.084 Argument of Peri: 292.42706 +/- 0.122 Long of Asc Node: 125.37113 +/- 0.001 Inclination: 18.58402 +/- 0.000 Eccentricity: 0.16705630 +/- 0.0003 Semi-Major Axis: 47.81853602 +/- 0.0114 Time of Perihelion: 2462906.1805 +/- 28.0 Perihelion: 39.83014828 +/- 0.0155 Aphelion: 55.80692377 +/- 0.0181 Period (y) 330.6760 +/- 0.12 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.86539621 +/- 0.0019 Ecliptic Y 19.75150660 +/- 0.0011 Ecliptic Z -12.85483492 +/- 0.0008 Ecliptic XDOT -0.00166579 +/- 0.0000 Ecliptic YDOT 0.00238139 +/- 0.0000 Ecliptic ZDOT -0.00000679 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.44135336 +/- 0.0016 Geocenter to KBO 39.55267978 +/- 0.0023 # Hcoef: 7.90
The following table shows the complete astrometric record for 13TG228. 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 (13TG228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.26581 02 23 30.119 -05 49 26.15 23.1r 13TG228 W84 C~52Rf 2013 10 11.22741 02 23 00.256 -05 53 10.40 23.7r 13TG228 W84 C~52Rf 2013 10 11.22879 02 23 00.258 -05 53 10.44 23.4i 13TG228 W84 C~52Rf 2013 10 13.24198 02 22 51.291 -05 54 12.67 23.6i 13TG228 W84 C~52Rf 2013 10 13.24335 02 22 51.292 -05 54 12.50 23.1z 13TG228 W84 C~52Rf 2014 10 01.38025 02 29 33.601 -05 18 03.85 23.6i 13TG228 W84 C~52Rf 2014 11 23.25957 02 25 32.43 -05 38 36.3 24.2i 13TG228 T09 C~8cPU 2014 11 23.27478 02 25 32.37 -05 38 36.3 24.5i 13TG228 T09 C~8cPU 2014 11 23.30926 02 25 32.22 -05 38 36.8 24.1i 13TG228 T09 C~8cPU 2014 11 23.32570 02 25 32.14 -05 38 36.8 23.9i 13TG228 T09 C~8cPU 2014 11 25.32100 02 25 23.51 -05 38 52.2 24.3z 13TG228 T09 C~8nZR 2014 11 25.33894 02 25 23.42 -05 38 52.2 24.7z 13TG228 T09 C~8nZR 2014 11 25.35560 02 25 23.36 -05 38 52.3 24.2z 13TG228 T09 C~8nZR 2014 12 12.18164 02 24 18.677 -05 39 09.59 23.1z 13TG228 W84 C~52Rf 2015 12 05.18414 02 30 34.210 -05 09 52.68 24.1r 13TG228 W84 C~52Rf 2016 11 29.20549 02 36 45.784 -04 39 44.54 24.1r 13TG228 W84 C~52Rf 2016 12 31.11584 02 35 01.542 -04 36 28.08 24.0r 13TG228 W84 C~52Rf 2017 11 27.16719 02 42 46.725 -04 09 18.67 23.0z 13TG228 W84 C~52Rf 2017 12 23.15738 02 41 09.751 -04 08 30.29 23.7g 13TG228 W84 C~52Rf 2018 01 05.07378 02 40 39.594 -04 05 12.03 24.4r 13TG228 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 -0.02 0.00 0.25
2 0.0191 -495.35 -0.10 -59.01 -0.06
3 0.0191 -495.34 0.02 -59.06 -0.10
4 0.0246 -642.33 0.03 -72.00 -0.46
5 0.0246 -642.26 0.20 -71.84 -0.30
6 0.9914 5744.54 0.00 -87.35 0.03
7 1.1362 1937.72 -0.09 -12.08 0.09
8 1.1362 1936.88 0.06 -11.77 0.17
9 1.1363 1934.61 0.03 -11.48 -0.04
10 1.1364 1933.49 -0.02 -11.07 0.12
11 1.1418 1807.14 -0.02 18.46 0.10
12 1.1419 1805.88 -0.14 18.92 0.28
13 1.1419 1805.00 0.05 19.14 0.23
14 1.1880 891.53 -0.07 332.49 -0.04
15 2.1682 6764.44 -0.05 63.11 0.04
16 3.1538 12613.75 -0.10 -154.05 -0.14
17 3.2412 11214.40 0.31 569.87 -0.00
18 4.1476 18342.48 -0.07 -313.99 -0.02
19 4.2187 16988.98 -0.06 237.41 -0.17
20 4.2541 16632.29 0.05 581.02 0.02
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.
13TG228 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.102 48.132 48.071 ecceobj 0.170 0.171 0.170 incobj 18.579 18.579 18.579 qmin 37.646 37.955 37.820 qmax 58.773 58.233 58.532 amean 47.796 47.795 47.796 amin 47.216 47.229 47.187 amax 48.445 48.408 48.488 emean 0.178 0.172 0.179 emin 0.136 0.129 0.146 emax 0.213 0.205 0.209 imean 16.610 16.787 16.541 imin 15.927 16.075 15.930 imax 17.645 17.856 17.131 excite_mean 0.337 0.337 0.337 fracstop 1.000 1.000 1.000 cjmean 3.006 3.006 3.007 libcent 0 179.8 179.1 180.2 libamp 0 157.7 155.5 165.3 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 194.4 187.9 184.2 kozaiamp 179.9 180.0 180.0