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: 13TQ229 # Created Sun Apr 21 01:15:28 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 15 observations of 15 # Arc: 18.25y # First observation: 2000/08/25 # Last observation: 2018/11/26 # Chi-squared of fit: 5.69 DOF: 24 RMS: 0.11 # Min/Max residuals: -0.20 0.18 # Exact a, adot, b, bdot, g, gdot: 1.717924E-05 3.226375E-02 1.692722E-06 2.175221E-03 2.923173E-02 4.192462E-03 # Covariance matrix: 7.3329E-13 -9.3345E-14 4.2379E-15 -3.5022E-15 -3.7575E-14 -9.0152E-14 -9.3345E-14 5.5069E-14 -4.1978E-15 3.3427E-15 8.6930E-14 8.6744E-14 4.2379E-15 -4.1978E-15 6.7426E-13 -4.1934E-14 -6.5674E-15 -7.0275E-15 -3.5022E-15 3.3427E-15 -4.1934E-14 3.1997E-15 4.4629E-15 5.6604E-15 -3.7575E-14 8.6930E-14 -6.5674E-15 4.4629E-15 4.3792E-13 1.2019E-13 -9.0152E-14 8.6744E-14 -7.0275E-15 5.6604E-15 1.2019E-13 1.4652E-13 # lat0 lon0 xBary yBary zBary JD0 -4.189267 -15.763666 0.214702 -0.072097 -0.982058 2451781.712863 # Heliocentric elements and errors Epoch: 2451782.5000 = 2000/08/26 Mean Anomaly: 40.26241 +/- 0.013 Argument of Peri: 258.60546 +/- 0.018 Long of Asc Node: 30.78755 +/- 0.000 Inclination: 5.56877 +/- 0.000 Eccentricity: 0.16282127 +/- 0.0000 Semi-Major Axis: 39.58439971 +/- 0.0038 Time of Perihelion: 2441608.7336 +/- 3.7 Perihelion: 33.13921743 +/- 0.0036 Aphelion: 46.02958198 +/- 0.0047 Period (y) 249.0544 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.72996910 +/- 0.0007 Ecliptic Y -9.73809488 +/- 0.0002 Ecliptic Z -2.49899901 +/- 0.0001 Ecliptic XDOT 0.00120487 +/- 0.0000 Ecliptic YDOT 0.00280307 +/- 0.0000 Ecliptic ZDOT 0.00017465 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.19632399 +/- 0.0007 Geocenter to KBO 34.20936495 +/- 0.0008 # Hcoef: 7.92
The following table shows the complete astrometric record for 13TQ229. 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 (13TQ229) followed by the observatory code and reference code for the source of the astrometry.
2000 08 25.21212 23 08 28.08 -10 04 01.0 22.9R 13TQ229 807 C~55Nw 2000 08 25.27585 23 08 27.73 -10 04 02.8 13TQ229 807 C~55Nw 2013 10 13.10179 00 25 31.206 +00 10 34.30 22.7z 13TQ229 W84 C~55Nw 2013 10 13.11209 00 25 31.174 +00 10 34.20 23.3i 13TQ229 W84 C~55Nw 2013 11 23.10780 00 22 51.370 -00 03 53.14 24.0r 13TQ229 W84 C~55Nw 2014 10 29.20908 00 30 05.906 +00 50 30.68 23.8r 13TQ229 W84 C~55Nw 2016 09 09.28058 00 45 30.840 +02 46 56.87 23.5r 13TQ229 W84 C~55Nw 2016 09 09.28195 00 45 30.834 +02 46 56.94 23.4i 13TQ229 W84 C~55Nw 2016 11 08.14374 00 40 48.619 +02 18 57.36 23.5i 13TQ229 W84 C~55Nw 2016 11 18.08134 00 40 12.987 +02 15 48.45 23.4r 13TQ229 W84 C~55Nw 2017 08 28.27714 00 51 58.825 +03 37 31.75 23.2i 13TQ229 W84 C~55Nw 2017 08 28.27853 00 51 58.816 +03 37 31.54 23.5r 13TQ229 W84 C~55Nw 2018 10 18.19756 00 53 41.320 +03 58 40.50 23.1z 13TQ229 W84 C~55Nw 2018 10 18.19894 00 53 41.327 +03 58 40.38 23.7i 13TQ229 W84 C~55Nw 2018 11 26.07524 00 51 02.302 +03 43 59.04 25.2g 13TQ229 W84 C~55Nw
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 0.09 0.00 -0.08
2 0.0002 0.00 -0.15 0.00 0.18
3 13.1332 0.00 -0.14 0.00 -0.20
4 13.1332 0.00 0.15 0.00 0.00
5 13.2454 0.00 0.14 0.00 -0.03
6 14.1766 0.00 -0.04 0.00 -0.20
7 16.0413 0.00 0.10 0.00 -0.03
8 16.0413 0.00 0.10 0.00 0.07
9 16.2052 0.00 0.03 0.00 0.04
10 16.2324 0.00 0.05 0.00 -0.04
11 17.0077 0.00 0.01 0.00 0.08
12 17.0077 0.00 -0.05 0.00 -0.09
13 18.1464 0.00 -0.19 0.00 0.16
14 18.1464 0.00 0.02 0.00 0.08
15 18.2529 0.00 -0.05 0.00 0.10
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.
13TQ229 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.671 39.672 39.671 ecceobj 0.164 0.164 0.164 incobj 5.567 5.567 5.567 qmin 32.185 32.185 32.185 qmax 47.307 47.311 47.304 amean 39.457 39.457 39.457 amin 39.003 39.004 39.002 amax 39.970 39.969 39.973 emean 0.167 0.167 0.167 emin 0.149 0.149 0.149 emax 0.185 0.185 0.185 imean 4.841 4.841 4.841 imin 4.240 4.240 4.241 imax 5.470 5.470 5.470 excite_mean 0.187 0.187 0.187 fracstop 1.000 1.000 1.000 cjmean 3.012 3.012 3.012 libcent 0 180.0 179.9 180.1 libamp 0 96.4 96.2 96.6 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 178.2 178.3 178.2 kozaiamp 180.0 180.0 180.0