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: 03TL58
# Created Wed Dec 25 02:08:27 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 19 observations of 19
# Arc: 15.35y
# First observation: 2003/10/03
# Last observation: 2019/02/08
# Chi-squared of fit: 16.66 DOF: 32 RMS: 0.17
# Min/Max residuals: -0.38 0.44
# Exact a, adot, b, bdot, g, gdot:
1.577864E-05 2.333057E-02 -1.882004E-06 -3.168801E-03 2.395608E-02 -2.700187E-04
# Covariance matrix:
4.1604E-13 -2.0040E-13 -2.2348E-14 3.1206E-14 2.7257E-13 -6.1802E-13
-2.0040E-13 1.8922E-13 2.0549E-14 -2.8975E-14 -9.2894E-14 5.7497E-13
-2.2348E-14 2.0549E-14 1.1057E-13 -1.2313E-14 -1.2245E-14 6.3697E-14
3.1206E-14 -2.8975E-14 -1.2313E-14 7.3230E-15 1.6780E-14 -8.9739E-14
2.7257E-13 -9.2894E-14 -1.2245E-14 1.6780E-14 3.2818E-13 -3.3104E-13
-6.1802E-13 5.7497E-13 6.3697E-14 -8.9739E-14 -3.3104E-13 1.7804E-12
# lat0 lon0 xBary yBary zBary JD0
0.354231 73.847597 0.903704 0.002730 -0.435317 2452915.963913
# Heliocentric elements and errors
Epoch: 2452916.5000 = 2003/10/04
Mean Anomaly: 316.77226 +/- 0.106
Argument of Peri: 224.68869 +/- 0.118
Long of Asc Node: 255.20985 +/- 0.000
Inclination: 7.72606 +/- 0.000
Eccentricity: 0.04951832 +/- 0.0000
Semi-Major Axis: 43.71449438 +/- 0.0052
Time of Perihelion: 2465592.9194 +/- 35.2
Perihelion: 41.54982600 +/- 0.0054
Aphelion: 45.87916276 +/- 0.0059
Period (y) 289.0323 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.59790217 +/- 0.0003
Ecliptic Y 40.26480731 +/- 0.0010
Ecliptic Z 0.25800351 +/- 0.0000
Ecliptic XDOT -0.00257398 +/- 0.0000
Ecliptic YDOT 0.00070833 +/- 0.0000
Ecliptic ZDOT -0.00036217 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.19040572 +/- 0.0009
Geocenter to KBO 41.74309129 +/- 0.0010
# Hcoef: 6.94
The following table shows the complete astrometric record for 03TL58. 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 (03TL58) followed by the observatory code and reference code for the source of the astrometry.
2003 10 03.46317 04 49 44.25 +22 48 50.2 23.0i 03TL58 568 Cq9898 2003 10 03.51380 04 49 44.16 +22 48 49.9 03TL58 568 Cq9898 2003 10 03.57522 04 49 44.04 +22 48 49.7 23.0i 03TL58 568 Cq9898 2003 12 16.32799 04 44 31.59 +22 37 49.7 23.5g 03TL58 568 Cq9898 2003 12 16.35445 04 44 31.45 +22 37 49.4 23.4g 03TL58 568 Cq9898 2003 12 16.38076 04 44 31.31 +22 37 49.1 23.6g 03TL58 568 Cq9898 2003 12 17.39975 04 44 26.03 +22 37 37.5 03TL58 568 Cq9898 2003 12 17.43258 04 44 25.89 +22 37 37.1 03TL58 568 Cq9898 2004 12 11.37788 04 50 48.98 +22 37 40.4 23.0r 03TL58 568 Cq9898 2004 12 11.40659 04 50 48.83 +22 37 40.1 23.0r 03TL58 568 Cq9898 2004 12 11.43951 04 50 48.65 +22 37 39.8 23.3r 03TL58 568 Cq9898 2004 12 12.30124 04 50 44.14 +22 37 30.9 23.2r 03TL58 568 Cq9898 2005 10 04.41476 05 01 24.71 +22 44 46.9 03TL58 675 Cq9898 2005 10 04.46827 05 01 24.63 +22 44 46.4 03TL58 675 Cq9898 2005 10 04.50969 05 01 24.55 +22 44 45.9 22.8R 03TL58 675 Cq9898 2015 11 08.40742 05 58 44.28 +21 35 00.2 22.4R 03TL58 G37 C~1dcC 2015 11 08.47811 05 58 44.02 +21 34 59.2 03TL58 G37 C~1dcC 2019 02 08.224950 06 09 11.917 +20 59 08.32 23.5G 03TL58 G37 C~2zmb 2019 02 08.286130 06 09 11.710 +20 59 08.31 03TL58 G37 C~2zmb
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 -0.08 0.00 -0.05
2 0.0001 0.00 -0.01 0.00 -0.15
3 0.0003 0.00 -0.06 0.00 -0.09
4 0.2022 0.00 0.10 0.00 0.08
5 0.2023 0.00 0.08 0.00 0.08
6 0.2024 0.00 0.06 0.00 0.07
7 0.2052 0.00 -0.38 0.00 -0.13
8 0.2053 0.00 0.10 0.00 -0.16
9 1.1907 0.00 -0.12 0.00 -0.02
10 1.1908 0.00 -0.06 0.00 -0.02
11 1.1909 0.00 -0.11 0.00 0.03
12 1.1933 0.00 0.14 0.00 0.23
13 2.0040 0.00 0.04 0.00 0.34
14 2.0041 0.00 0.25 0.00 0.05
15 2.0042 0.00 0.16 0.00 -0.28
16 12.0984 0.00 -0.12 0.00 0.44
17 12.0986 0.00 -0.16 0.00 -0.29
18 15.3505 0.00 0.07 0.00 -0.02
19 15.3506 0.00 0.12 0.00 -0.12
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.
03TL58 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.875 43.875 43.875 ecceobj 0.049 0.049 0.049 incobj 7.716 7.716 7.716 qmin 40.789 40.786 40.793 qmax 46.616 46.613 46.617 amean 43.596 43.596 43.596 amin 43.263 43.264 43.260 amax 43.952 43.946 43.953 emean 0.046 0.046 0.046 emin 0.032 0.032 0.032 emax 0.061 0.061 0.061 imean 9.406 9.406 9.406 imin 8.778 8.778 8.778 imax 9.980 9.980 9.980 excite_mean 0.170 0.170 0.170 fracstop 1.000 1.000 1.000 cjmean 3.062 3.062 3.062 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 180.3 180.4 180.3 kozaiamp 180.0 180.0 180.0