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: 13TC229 # Created Fri Apr 19 01:15:28 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 14 observations of 14 # Arc: 6.13y # First observation: 2013/10/13 # Last observation: 2019/11/28 # Chi-squared of fit: 5.77 DOF: 22 RMS: 0.11 # Min/Max residuals: -0.21 0.27 # Exact a, adot, b, bdot, g, gdot: 1.680304E-05 2.842467E-02 -1.513703E-06 -3.851699E-03 2.637111E-02 -3.623335E-03 # Covariance matrix: 5.3051E-13 -4.8198E-13 -3.6427E-14 6.0218E-14 1.9469E-13 -2.5811E-12 -4.8198E-13 1.0196E-12 8.8927E-14 -1.4680E-13 -5.6397E-13 6.3050E-12 -3.6427E-14 8.8927E-14 3.6604E-13 -8.3461E-14 -5.2161E-14 5.6127E-13 6.0218E-14 -1.4680E-13 -8.3461E-14 4.0892E-14 8.5094E-14 -9.2621E-13 1.9469E-13 -5.6397E-13 -5.2161E-14 8.5094E-14 7.7810E-13 -3.7189E-12 -2.5811E-12 6.3050E-12 5.6127E-13 -9.2621E-13 -3.7189E-12 3.9802E-11 # lat0 lon0 xBary yBary zBary JD0 -2.868803 9.548237 -0.174733 -0.049031 -0.980766 2456578.650868 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 333.72760 +/- 0.044 Argument of Peri: 240.97506 +/- 0.075 Long of Asc Node: 169.95599 +/- 0.001 Inclination: 8.18440 +/- 0.000 Eccentricity: 0.22089402 +/- 0.0001 Semi-Major Axis: 47.72187923 +/- 0.0090 Time of Perihelion: 2465366.1354 +/- 34.9 Perihelion: 37.18040143 +/- 0.0080 Aphelion: 58.26335703 +/- 0.0117 Period (y) 329.6739 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.28688653 +/- 0.0013 Ecliptic Y 6.62051292 +/- 0.0002 Ecliptic Z -1.89797029 +/- 0.0001 Ecliptic XDOT -0.00088592 +/- 0.0000 Ecliptic YDOT 0.00284308 +/- 0.0000 Ecliptic ZDOT -0.00038042 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.90148374 +/- 0.0012 Geocenter to KBO 37.92041185 +/- 0.0013 # Hcoef: 8.06
The following table shows the complete astrometric record for 13TC229. 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 (13TC229) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.15009 00 39 36.180 +01 08 41.56 22.9i 13TC229 W84 C~52Rg 2013 10 13.17933 00 39 36.031 +01 08 40.72 23.0z 13TC229 W84 C~52Rg 2013 11 23.12459 00 36 59.931 +00 52 12.49 23.8i 13TC229 W84 C~52Rg 2014 10 29.22180 00 44 46.659 +01 27 09.96 23.8i 13TC229 W84 C~52Rg 2016 09 01.37293 01 01 50.709 +02 49 05.56 23.9r 13TC229 W84 C~52Rg 2017 09 14.32230 01 07 30.208 +03 09 08.11 23.9i 13TC229 W84 C~52Rg 2017 09 18.30613 01 07 13.291 +03 07 04.55 23.3r 13TC229 W84 C~52Rg 2017 09 24.29119 01 06 46.747 +03 03 54.42 22.8z 13TC229 W84 C~52Rg 2018 09 14.33193 01 14 02.817 +03 35 34.23 22.6i 13TC229 W84 C~52Rg 2018 10 18.20169 01 11 26.937 +03 17 43.88 23.2z 13TC229 W84 C~52Rg 2019 11 28.39040 01 15 10.72 +03 27 30.2 24.8g 13TC229 T09 C~7bIF 2019 11 28.39668 01 15 10.71 +03 27 30.1 25.6g 13TC229 T09 C~7bIF 2019 11 28.44367 01 15 10.56 +03 27 29.2 25.8g 13TC229 T09 C~7bIF 2019 11 28.45413 01 15 10.52 +03 27 29.2 25.1g 13TC229 T09 C~7bIF
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 -0.13
2 0.0001 0.00 -0.06 0.00 -0.07
3 0.1122 0.00 -0.02 0.00 -0.10
4 1.0433 0.00 0.04 0.00 0.15
5 2.8863 0.00 -0.03 0.00 -0.00
6 3.9211 0.00 0.05 0.00 0.23
7 3.9320 0.00 -0.20 0.00 0.27
8 3.9484 0.00 0.10 0.00 -0.00
9 4.9204 0.00 -0.09 0.00 0.10
10 5.0131 0.00 0.00 0.00 -0.12
11 6.1252 0.00 -0.02 0.00 -0.03
12 6.1252 0.00 0.12 0.00 -0.03
13 6.1254 0.00 0.08 0.00 -0.21
14 6.1254 0.00 -0.03 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.
13TC229 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.036 48.036 48.036 ecceobj 0.224 0.224 0.224 incobj 8.160 8.160 8.160 qmin 36.433 36.454 36.495 qmax 60.222 60.185 60.220 amean 47.798 47.798 47.798 amin 47.055 47.069 47.053 amax 48.638 48.616 48.656 emean 0.222 0.220 0.221 emin 0.203 0.202 0.202 emax 0.239 0.239 0.239 imean 7.690 7.791 7.787 imin 7.221 7.232 7.245 imax 8.176 8.425 8.231 excite_mean 0.259 0.259 0.259 fracstop 1.000 1.000 1.000 cjmean 3.065 3.065 3.065 libcent 0 179.1 182.2 180.4 libamp 0 167.4 168.2 173.4 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 197.0 190.4 179.2 kozaiamp 180.0 180.0 180.0