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: 13TQ227 # Created Mon Apr 28 01:09:48 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 5.15y # First observation: 2013/10/03 # Last observation: 2018/11/28 # Chi-squared of fit: 12.25 DOF: 30 RMS: 0.15 # Min/Max residuals: -0.35 0.28 # Exact a, adot, b, bdot, g, gdot: 1.498239E-05 2.572209E-02 1.614040E-06 1.199776E-03 2.527033E-02 3.024703E-03 # Covariance matrix: 5.1267E-13 -3.5141E-13 1.2755E-14 -1.3645E-14 -1.5564E-13 -1.9914E-12 -3.5141E-13 4.8772E-13 -2.4724E-14 2.2815E-14 4.6886E-13 3.4187E-12 1.2755E-14 -2.4724E-14 3.1011E-13 -8.1423E-14 -3.0357E-14 -1.8523E-13 -1.3645E-14 2.2815E-14 -8.1423E-14 2.9633E-14 2.2821E-14 1.6975E-13 -1.5564E-13 4.6886E-13 -3.0357E-14 2.2821E-14 8.1442E-13 3.5671E-12 -1.9914E-12 3.4187E-12 -1.8523E-13 1.6975E-13 3.5671E-12 2.5469E-11 # lat0 lon0 xBary yBary zBary JD0 -10.229399 23.577746 0.239089 -0.172464 -0.956275 2456568.642258 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 47.01245 +/- 0.037 Argument of Peri: 224.50583 +/- 0.060 Long of Asc Node: 98.77415 +/- 0.002 Inclination: 10.30504 +/- 0.000 Eccentricity: 0.13546878 +/- 0.0002 Semi-Major Axis: 44.10665103 +/- 0.0045 Time of Perihelion: 2442596.2968 +/- 11.1 Perihelion: 38.13157666 +/- 0.0083 Aphelion: 50.08172540 +/- 0.0089 Period (y) 292.9303 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.67760431 +/- 0.0013 Ecliptic Y 15.74950001 +/- 0.0006 Ecliptic Z -7.02755694 +/- 0.0003 Ecliptic XDOT -0.00080414 +/- 0.0000 Ecliptic YDOT 0.00269102 +/- 0.0000 Ecliptic ZDOT 0.00006986 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.52991880 +/- 0.0012 Geocenter to KBO 39.57205692 +/- 0.0014 # Hcoef: 7.39
The following table shows the complete astrometric record for 13TQ227. 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 (13TQ227) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.14148 01 42 19.688 -00 21 51.10 23.7g 13TQ227 W84 C~52Re 2013 10 04.20181 01 42 14.913 -00 22 21.81 23.7g 13TQ227 W84 C~52Re 2014 10 02.28380 01 47 46.925 +00 14 37.19 22.9i 13TQ227 W84 C~52Re 2014 10 29.25559 01 45 42.028 +00 02 39.38 22.6i 13TQ227 W84 C~52Re 2014 12 12.05597 01 42 53.431 -00 06 27.42 23.5r 13TQ227 W84 C~52Re 2015 08 24.37263 01 55 14.943 +01 08 05.52 23.0i 13TQ227 W84 C~52Re 2015 11 06.19886 01 50 26.926 +00 35 36.16 22.9i 13TQ227 W84 C~52Re 2015 11 06.20022 01 50 26.945 +00 35 36.26 23.7r 13TQ227 W84 C~52Re 2016 10 28.17838 01 56 23.789 +01 14 04.30 23.9r 13TQ227 W84 C~52Re 2016 11 28.10313 01 54 10.158 +01 05 19.68 23.3i 13TQ227 W84 C~52Re 2016 11 28.10451 01 54 10.140 +01 05 19.55 24.4r 13TQ227 W84 C~52Re 2016 11 28.10589 01 54 10.146 +01 05 19.54 24.3g 13TQ227 W84 C~52Re 2017 10 30.22528 02 01 31.950 +01 48 36.34 23.0z 13TQ227 W84 C~52Re 2018 09 09.35165 02 10 17.220 +02 45 57.57 23.5r 13TQ227 W84 C~52Re 2018 09 09.35304 02 10 17.218 +02 45 57.48 23.3i 13TQ227 W84 C~52Re 2018 09 14.36371 02 10 02.082 +02 43 48.23 23.6r 13TQ227 W84 C~52Re 2018 09 14.36648 02 10 02.078 +02 43 47.88 23.8g 13TQ227 W84 C~52Re 2018 11 28.04184 02 04 41.342 +02 15 21.04 23.5r 13TQ227 W84 C~52Re
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 0.28 0.00 -0.08
2 0.0029 0.00 -0.13 0.00 0.12
3 0.9970 0.00 0.21 0.00 -0.10
4 1.0708 0.00 -0.12 0.00 -0.02
5 1.1907 0.00 -0.28 0.00 0.19
6 1.8897 0.00 0.13 0.00 -0.35
7 2.0919 0.00 -0.25 0.00 -0.01
8 2.0919 0.00 0.13 0.00 0.11
9 3.0692 0.00 -0.01 0.00 -0.15
10 3.1539 0.00 0.08 0.00 0.19
11 3.1539 0.00 -0.12 0.00 0.07
12 3.1539 0.00 0.05 0.00 0.08
13 4.0742 0.00 0.07 0.00 0.09
14 4.9342 0.00 -0.04 0.00 0.08
15 4.9342 0.00 -0.01 0.00 0.02
16 4.9479 0.00 -0.07 0.00 0.01
17 4.9479 0.00 0.01 0.00 -0.27
18 5.1524 0.00 0.16 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.
13TQ227 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.390 44.390 44.390 ecceobj 0.141 0.141 0.141 incobj 10.310 10.310 10.310 qmin 37.343 37.351 37.343 qmax 51.189 51.192 51.165 amean 44.073 44.073 44.073 amin 43.699 43.713 43.705 amax 44.478 44.478 44.477 emean 0.132 0.132 0.132 emin 0.114 0.114 0.114 emax 0.151 0.151 0.151 imean 8.358 8.358 8.358 imin 7.515 7.513 7.516 imax 9.184 9.186 9.181 excite_mean 0.196 0.196 0.196 fracstop 1.000 1.000 1.000 cjmean 3.056 3.056 3.056 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 184.1 184.1 184.1 kozaiamp 180.0 180.0 180.0