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: 04TR388 # Created Wed Mar 26 01:08:47 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 41 observations of 41 # Arc: 20.38y # First observation: 2004/10/15 # Last observation: 2025/03/03 # Chi-squared of fit: 41.44 DOF: 76 RMS: 0.18 # Min/Max residuals: -0.45 0.59 # Exact a, adot, b, bdot, g, gdot: 3.360807E-05 3.453222E-01 -8.744656E-06 -8.313040E-02 1.638501E-01 3.315663E-03 # Covariance matrix: 6.9497E-13 -7.5997E-14 -2.5322E-15 -2.5354E-15 -5.0135E-13 3.9312E-14 -7.5997E-14 7.6455E-13 1.5133E-14 1.0308E-13 3.0481E-12 -1.3217E-12 -2.5322E-15 1.5133E-14 6.9020E-13 -3.5510E-14 2.1811E-13 -1.0690E-14 -2.5354E-15 1.0308E-13 -3.5510E-14 1.6820E-13 1.2840E-13 -2.7743E-13 -5.0135E-13 3.0481E-12 2.1811E-13 1.2840E-13 4.3132E-11 -2.2739E-12 3.9312E-14 -1.3217E-12 -1.0690E-14 -2.7743E-13 -2.2739E-12 3.4627E-12 # lat0 lon0 xBary yBary zBary JD0 3.228049 43.769907 0.369168 0.052461 -0.928579 2453293.842903 # Heliocentric elements and errors Epoch: 2453294.5000 = 2004/10/16 Mean Anomaly: 196.05107 +/- 0.000 Argument of Peri: 336.49413 +/- 0.000 Long of Asc Node: 232.36920 +/- 0.000 Inclination: 13.68573 +/- 0.000 Eccentricity: 0.16802219 +/- 0.0000 Semi-Major Axis: 6.05124405 +/- 0.0000 Time of Perihelion: 2455770.6190 +/- 0.0 Perihelion: 5.03450076 +/- 0.0000 Aphelion: 7.06798734 +/- 0.0000 Period (y) 14.8859 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 5.32286487 +/- 0.0000 Ecliptic Y 4.59303800 +/- 0.0000 Ecliptic Z 0.34362370 +/- 0.0000 Ecliptic XDOT -0.00389658 +/- 0.0000 Ecliptic YDOT 0.00425201 +/- 0.0000 Ecliptic ZDOT -0.00138365 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 7.03896882 +/- 0.0000 Geocenter to KBO 6.10317317 +/- 0.0000 # Hcoef: 14.54
The following table shows the complete astrometric record for 04TR388. 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 (04TR388) followed by the observatory code and reference code for the source of the astrometry.
2004 10 15.34216 02 41 10.24 +19 03 00.4 22.6R 04TR388 695 C~8iQW 2004 10 15.45336 02 41 07.63 +19 02 44.8 04TR388 695 C~8iQW 2004 11 09.19997 02 30 56.95 +17 56 54.2 22.8R 04TR388 695 C~8iQW 2004 11 09.29232 02 30 54.57 +17 56 38.3 04TR388 695 C~8iQW 2011 04 28.35235 12 48 05.906 -14 49 29.02 21.4w 04TR388 F51 C~8iQW 2011 04 28.36658 12 48 05.545 -14 49 24.95 22.0w 04TR388 F51 C~8iQW 2011 04 28.38067 12 48 05.219 -14 49 21.32 22.1w 04TR388 F51 C~8iQW 2012 05 13.34089 15 37 41.08 -18 20 05.8 20.4V 04TR388 G96 C~8iQW 2012 05 13.34609 15 37 40.90 -18 20 05.0 20.9V 04TR388 G96 C~8iQW 2012 05 13.35133 15 37 40.80 -18 20 04.0 21.1V 04TR388 G96 C~8iQW 2012 05 13.35660 15 37 40.58 -18 20 03.0 21.7V 04TR388 G96 C~8iQW 2025 01 04.608671 11 04 41.790 -09 29 47.81 21.9G 04TR388 F52 C~8iQW 2025 01 04.621476 11 04 41.778 -09 29 49.47 21.8G 04TR388 F52 C~8iQW 2025 01 04.634219 11 04 41.737 -09 29 51.19 21.6G 04TR388 F52 C~8iQW 2025 01 04.646981 11 04 41.736 -09 29 52.92 21.6G 04TR388 F52 C~8iQW 2025 01 06.534222 11 04 38.866 -09 33 56.67 22.0G 04TR388 F51 C~8iQW 2025 01 06.545480 11 04 38.840 -09 33 58.17 22.5G 04TR388 F51 C~8iQW 2025 01 06.556748 11 04 38.803 -09 33 59.24 22.5G 04TR388 F51 C~8iQW 2025 01 06.568013 11 04 38.770 -09 34 00.95 22.4G 04TR388 F51 C~8iQW 2025 01 24.554337 11 02 07.280 -09 56 27.39 21.4G 04TR388 F52 C~8iQW 2025 01 24.565868 11 02 07.104 -09 56 27.83 21.9G 04TR388 F52 C~8iQW 2025 01 24.577430 11 02 06.909 -09 56 27.59 21.7G 04TR388 F52 C~8iQW 2025 01 24.588982 11 02 06.761 -09 56 28.55 22.2G 04TR388 F52 C~8iQW 2025 01 29.28728 11 00 52.41 -09 57 04.2 22.4g 04TR388 W84 C~8iQW 2025 01 29.29111 11 00 52.34 -09 57 04.2 21.9r 04TR388 W84 C~8iQW 2025 01 29.30264 11 00 52.14 -09 57 04.1 22.4g 04TR388 W84 C~8iQW 2025 01 29.30649 11 00 52.07 -09 57 04.1 21.9r 04TR388 W84 C~8iQW 2025 01 29.31799 11 00 51.86 -09 57 04.0 22.4g 04TR388 W84 C~8iQW 2025 01 29.32182 11 00 51.80 -09 57 04.0 21.9r 04TR388 W84 C~8iQW 2025 03 02.393740 10 48 06.131 -09 02 42.75 21.5w 04TR388 F52 C~8iQW 2025 03 02.405987 10 48 05.767 -09 02 40.24 21.5w 04TR388 F52 C~8iQW 2025 03 02.418284 10 48 05.445 -09 02 38.07 21.4w 04TR388 F52 C~8iQW 2025 03 02.430568 10 48 05.091 -09 02 35.75 21.6w 04TR388 F52 C~8iQW 2025 03 02.540285 10 48 01.980 -09 02 14.95 21.7G 04TR388 F51 C~8iQW 2025 03 02.540923 10 48 01.981 -09 02 14.99 21.7G 04TR388 F51 C~8iQW 2025 03 03.145600 10 47 45.470 -09 00 18.90 20.5G 04TR388 807 C~8iQW 2025 03 03.151110 10 47 45.330 -09 00 18.00 20.7G 04TR388 807 C~8iQW 2025 03 03.156630 10 47 45.180 -09 00 17.00 20.3G 04TR388 807 C~8iQW 2025 03 03.479144 10 47 36.268 -08 59 16.78 21.6G 04TR388 T14 C~8iQW 2025 03 03.480353 10 47 36.234 -08 59 16.53 21.6G 04TR388 T14 C~8iQW 2025 03 03.481561 10 47 36.199 -08 59 16.29 21.7G 04TR388 T14 C~8iQW
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 0.12 2 0.0003 0.00 -0.27 0.00 0.23 3 0.0681 0.00 0.37 0.00 0.33 4 0.0683 0.00 -0.05 0.00 0.20 5 6.5325 0.00 0.37 0.00 0.07 6 6.5326 0.00 -0.13 0.00 0.25 7 6.5326 0.00 -0.15 0.00 0.03 8 7.5756 0.00 0.05 0.00 0.35 9 7.5756 0.00 -0.29 0.00 0.10 10 7.5757 0.00 0.59 0.00 0.05 11 7.5757 0.00 -0.31 0.00 -0.02 12 20.2225 0.00 0.11 0.00 -0.09 13 20.2225 0.00 0.23 0.00 -0.03 14 20.2226 0.00 -0.08 0.00 -0.05 15 20.2226 0.00 0.21 0.00 -0.07 16 20.2278 0.00 -0.08 0.00 0.05 17 20.2278 0.00 0.01 0.00 -0.04 18 20.2278 0.00 -0.05 0.00 0.30 19 20.2279 0.00 -0.05 0.00 -0.01 20 20.2771 0.00 -0.09 0.00 -0.06 21 20.2771 0.00 -0.11 0.00 -0.24 22 20.2772 0.00 -0.41 0.00 0.26 23 20.2772 0.00 -0.01 0.00 -0.45 24 20.2901 0.00 0.02 0.00 0.03 25 20.2901 0.00 0.00 0.00 0.01 26 20.2901 0.00 0.11 0.00 0.03 27 20.2901 0.00 0.09 0.00 0.01 28 20.2901 0.00 0.04 0.00 0.03 29 20.2902 0.00 0.17 0.00 0.00 30 20.3780 0.00 0.11 0.00 -0.05 31 20.3780 0.00 -0.16 0.00 0.18 32 20.3780 0.00 0.22 0.00 0.04 33 20.3781 0.00 0.11 0.00 0.06 34 20.3784 0.00 -0.13 0.00 0.21 35 20.3784 0.00 0.16 0.00 0.05 36 20.3800 0.00 -0.34 0.00 -0.01 37 20.3800 0.00 -0.11 0.00 -0.16 38 20.3801 0.00 -0.03 0.00 -0.21 39 20.3809 0.00 0.05 0.00 0.02 40 20.3809 0.00 0.05 0.00 0.04 41 20.3809 0.00 0.03 0.00 0.05
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.
04TR388 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 6.073 6.073 6.073 ecceobj 0.165 0.165 0.165 incobj 13.669 13.669 13.669 qmin 5.068 5.068 5.068 qmax 7.078 7.078 7.078 amean 6.073 6.073 6.073 amin 6.073 6.073 6.073 amax 6.073 6.073 6.073 emean 0.165 0.165 0.165 emin 0.165 0.165 0.165 emax 0.165 0.165 0.165 imean 14.626 14.626 14.626 imin 14.626 14.626 14.626 imax 14.626 14.626 14.626 excite_mean 0.302 0.302 0.302 fracstop 0.000 0.000 0.000 cjmean 5.816 5.816 5.816 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 337.1 337.1 337.1 kozaiamp 0.0 0.0 0.0