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: 13TZ227 # Created Tue Apr 1 01:09:48 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 13 observations of 13 # Arc: 5.15y # First observation: 2013/10/04 # Last observation: 2018/11/27 # Chi-squared of fit: 2.74 DOF: 20 RMS: 0.08 # Min/Max residuals: -0.19 0.15 # Exact a, adot, b, bdot, g, gdot: 1.373383E-05 2.036050E-02 -7.817138E-07 -9.787797E-04 2.245772E-02 -7.480530E-04 # Covariance matrix: 5.3486E-13 -2.6794E-13 -1.1731E-14 7.1078E-15 2.2580E-13 -1.9291E-12 -2.6794E-13 5.0742E-13 5.3901E-15 -2.0686E-14 2.3641E-13 5.1968E-12 -1.1731E-14 5.3901E-15 3.3606E-13 -8.7430E-14 -2.0720E-14 5.5087E-14 7.1078E-15 -2.0686E-14 -8.7430E-14 3.5211E-14 -1.2254E-14 -2.2755E-13 2.2580E-13 2.3641E-13 -2.0720E-14 -1.2254E-14 8.8325E-13 2.7314E-12 -1.9291E-12 5.1968E-12 5.5087E-14 -2.2755E-13 2.7314E-12 5.7106E-11 # lat0 lon0 xBary yBary zBary JD0 -8.281148 4.131814 -0.115793 -0.143007 -0.983283 2456569.681678 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 218.68276 +/- 0.273 Argument of Peri: 36.89623 +/- 0.268 Long of Asc Node: 113.05507 +/- 0.003 Inclination: 8.54966 +/- 0.000 Eccentricity: 0.06154934 +/- 0.0002 Semi-Major Axis: 43.36797027 +/- 0.0063 Time of Perihelion: 2497519.6325 +/- 80.4 Perihelion: 40.69870014 +/- 0.0117 Aphelion: 46.03724040 +/- 0.0121 Period (y) 285.6024 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 44.93151955 +/- 0.0018 Ecliptic Y 3.36498864 +/- 0.0001 Ecliptic Z -6.41347257 +/- 0.0003 Ecliptic XDOT -0.00029216 +/- 0.0000 Ecliptic YDOT 0.00246662 +/- 0.0000 Ecliptic ZDOT -0.00010481 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.51152995 +/- 0.0018 Geocenter to KBO 44.52818171 +/- 0.0019 # Hcoef: 7.02
The following table shows the complete astrometric record for 13TZ227. 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 (13TZ227) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.18090 00 28 20.859 -05 57 25.60 23.4r 13TZ227 W84 C~52Re 2013 11 08.07750 00 26 08.960 -06 08 59.56 23.9r 13TZ227 W84 C~52Re 2013 11 08.07887 00 26 08.964 -06 08 59.44 23.0i 13TZ227 W84 C~52Re 2014 11 13.12408 00 30 16.380 -05 45 15.02 23.6r 13TZ227 W84 C~52Re 2014 11 15.07583 00 30 10.849 -05 45 33.98 23.1i 13TZ227 W84 C~52Re 2015 12 05.11423 00 33 48.759 -05 22 11.66 23.2r 13TZ227 W84 C~52Re 2016 10 01.18196 00 41 41.731 -04 41 11.08 22.7i 13TZ227 W84 C~52Re 2016 11 26.09922 00 38 23.826 -04 57 16.90 24.0r 13TZ227 W84 C~52Re 2017 09 24.29697 00 46 34.364 -04 12 35.13 23.6r 13TZ227 W84 C~52Re 2017 09 26.30854 00 46 26.075 -04 13 31.83 23.1r 13TZ227 W84 C~52Re 2017 09 27.31025 00 46 21.925 -04 13 59.89 23.6i 13TZ227 W84 C~52Re 2018 11 26.09090 00 47 06.376 -04 07 09.26 24.0r 13TZ227 W84 C~52Re 2018 11 27.09163 00 47 04.034 -04 07 14.31 24.5g 13TZ227 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 0.11 0.00 0.07
2 0.0955 0.00 -0.15 0.00 -0.13
3 0.0955 0.00 -0.03 0.00 0.01
4 1.1087 0.00 0.15 0.00 0.03
5 1.1140 0.00 0.12 0.00 -0.01
6 2.1682 0.00 -0.19 0.00 0.09
7 2.9925 0.00 -0.03 0.00 0.03
8 3.1456 0.00 0.04 0.00 0.00
9 3.9729 0.00 -0.01 0.00 0.01
10 3.9784 0.00 -0.01 0.00 -0.02
11 3.9812 0.00 -0.02 0.00 -0.05
12 5.1442 0.00 0.03 0.00 0.08
13 5.1469 0.00 0.06 0.00 -0.08
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.
13TZ227 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.603 43.603 43.603 ecceobj 0.056 0.056 0.056 incobj 8.546 8.546 8.546 qmin 39.777 39.776 39.777 qmax 47.278 47.278 47.279 amean 43.395 43.395 43.395 amin 43.062 43.062 43.063 amax 43.763 43.763 43.763 emean 0.064 0.064 0.064 emin 0.047 0.047 0.047 emax 0.081 0.081 0.081 imean 7.052 7.052 7.052 imin 6.287 6.287 6.287 imax 7.815 7.815 7.816 excite_mean 0.138 0.138 0.138 fracstop 1.000 1.000 1.000 cjmean 3.071 3.071 3.071 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 175.5 175.6 175.6 kozaiamp 179.9 180.0 180.0