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: 03TK58
# Created Sun Nov 24 02:08:28 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 29 observations of 29
# Arc: 20.27y
# First observation: 2003/10/03
# Last observation: 2024/01/09
# Chi-squared of fit: 40.73 DOF: 52 RMS: 0.21
# Min/Max residuals: -0.58 0.59
# Exact a, adot, b, bdot, g, gdot:
1.407790E-05 1.992845E-02 8.223034E-08 1.162679E-03 2.213365E-02 9.381168E-04
# Covariance matrix:
2.0465E-13 -6.5968E-15 3.0927E-16 -4.6122E-16 1.4506E-13 -1.7808E-14
-6.5968E-15 1.7988E-14 -1.4140E-15 1.0112E-15 2.5528E-14 4.2875E-14
3.0927E-16 -1.4140E-15 7.3535E-14 -5.3620E-15 -1.9205E-15 -3.6211E-15
-4.6122E-16 1.0112E-15 -5.3620E-15 1.2053E-15 1.1041E-15 2.6160E-15
1.4506E-13 2.5528E-14 -1.9205E-15 1.1041E-15 2.0362E-13 4.8776E-14
-1.7808E-14 4.2875E-14 -3.6211E-15 2.6160E-15 4.8776E-14 1.1073E-13
# lat0 lon0 xBary yBary zBary JD0
0.301371 73.664385 0.902308 0.002344 -0.438207 2452915.963913
# Heliocentric elements and errors
Epoch: 2452916.5000 = 2003/10/04
Mean Anomaly: 154.96959 +/- 0.030
Argument of Peri: 207.38139 +/- 0.023
Long of Asc Node: 67.44215 +/- 0.000
Inclination: 3.35660 +/- 0.000
Eccentricity: 0.06074752 +/- 0.0000
Semi-Major Axis: 43.22406312 +/- 0.0030
Time of Perihelion: 2408234.6855 +/- 9.8
Perihelion: 40.59830856 +/- 0.0036
Aphelion: 45.84981768 +/- 0.0039
Period (y) 284.1820 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 13.69282962 +/- 0.0003
Ecliptic Y 43.52590132 +/- 0.0009
Ecliptic Z 0.23765344 +/- 0.0000
Ecliptic XDOT -0.00233804 +/- 0.0000
Ecliptic YDOT 0.00079802 +/- 0.0000
Ecliptic ZDOT 0.00014459 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.62951583 +/- 0.0008
Geocenter to KBO 45.18007476 +/- 0.0009
# Hcoef: 6.84
The following table shows the complete astrometric record for 03TK58. 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 (03TK58) followed by the observatory code and reference code for the source of the astrometry.
2003 10 03.46317 04 48 58.57 +22 44 21.7 23.6i 03TK58 568 Cq9898 2003 10 03.51380 04 48 58.47 +22 44 21.6 23.4i 03TK58 568 Cq9898 2003 10 03.57522 04 48 58.36 +22 44 21.3 23.4i 03TK58 568 Cq9898 2003 12 16.32799 04 44 03.15 +22 36 47.4 23.6g 03TK58 568 Cq9898 2003 12 16.35445 04 44 03.03 +22 36 47.2 23.6g 03TK58 568 Cq9898 2003 12 16.38076 04 44 02.91 +22 36 47.0 23.8g 03TK58 568 Cq9898 2003 12 17.43258 04 43 57.81 +22 36 38.6 03TK58 568 Cq9898 2003 12 21.201740 04 43 39.82 +22 36 07.6 23.0V 03TK58 645 C~2Jx9 2003 12 21.202570 04 43 39.81 +22 36 07.6 22.5V 03TK58 645 C~2Jx9 2003 12 21.205057 04 43 39.80 +22 36 07.5 23.4V 03TK58 645 C~2Jx9 2004 12 11.37599 04 49 19.86 +22 50 01.9 23.6r 03TK58 568 Cq9898 2004 12 11.40470 04 49 19.72 +22 50 01.8 23.6r 03TK58 568 Cq9898 2004 12 11.43762 04 49 19.56 +22 50 01.4 23.4r 03TK58 568 Cq9898 2004 12 12.29935 04 49 15.30 +22 49 54.9 23.6r 03TK58 568 Cq9898 2005 11 04.49378 04 57 11.00 +23 06 03.4 23.5R 03TK58 695 Cq9898 2005 11 04.52749 04 57 10.87 +23 06 03.2 03TK58 695 Cq9898 2005 11 06.44880 04 57 03.01 +23 05 53.5 23.5R 03TK58 695 Cq9898 2006 01 31.246629 04 50 54.33 +22 57 00.0 23.2V 03TK58 645 C~2Jx9 2006 01 31.247458 04 50 54.32 +22 57 00.0 22.7V 03TK58 645 C~2Jx9 2006 01 31.249946 04 50 54.34 +22 56 59.9 24.2V 03TK58 645 C~2Jx9 2007 11 08.31077 05 06 50.06 +23 27 25.8 03TK58 695 Cy4000 2007 11 08.38332 05 06 49.75 +23 27 25.7 03TK58 695 Cy4000 2007 11 09.38657 05 06 45.59 +23 27 21.5 03TK58 695 Cy4000 2015 02 18.12903 05 34 39.21 +24 21 18.8 23.0R 03TK58 695 C~1M68 2015 02 18.17383 05 34 39.13 +24 21 18.8 03TK58 695 C~1M68 2015 02 18.22112 05 34 39.05 +24 21 18.7 03TK58 695 C~1M68 2024 01 09.178230 06 22 07.006 +24 56 46.57 23.5G 03TK58 G37 C~7gj7 2024 01 09.292790 06 22 06.422 +24 56 46.34 03TK58 G37 C~7gj7 2024 01 09.406120 06 22 05.861 +24 56 46.58 03TK58 G37 C~7gj7
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 0.02 0.00 0.16
2 0.0001 0.00 -0.09 0.00 0.14
3 0.0003 0.00 -0.04 0.00 -0.05
4 0.2022 0.00 -0.31 0.00 0.20
5 0.2023 0.00 -0.15 0.00 0.21
6 0.2024 0.00 -0.01 0.00 0.22
7 0.2053 0.00 -0.13 0.00 0.42
8 0.2156 0.00 0.09 0.00 0.03
9 0.2156 0.00 -0.00 0.00 0.04
10 0.2156 0.00 0.03 0.00 -0.04
11 1.1907 0.00 -0.24 0.00 -0.06
12 1.1908 0.00 -0.17 0.00 0.06
13 1.1909 0.00 -0.09 0.00 -0.09
14 1.1933 0.00 -0.26 0.00 0.07
15 2.0891 0.00 -0.05 0.00 -0.01
16 2.0892 0.00 0.07 0.00 -0.03
17 2.0944 0.00 -0.02 0.00 0.11
18 2.3293 0.00 0.32 0.00 -0.13
19 2.3293 0.00 0.20 0.00 -0.13
20 2.3293 0.00 0.59 0.00 -0.22
21 4.0981 0.00 0.31 0.00 -0.58
22 4.0983 0.00 0.22 0.00 -0.39
23 4.1011 0.00 0.14 0.00 -0.41
24 11.3776 0.00 -0.19 0.00 0.07
25 11.3777 0.00 -0.19 0.00 0.15
26 11.3778 0.00 -0.13 0.00 0.14
27 20.2675 0.00 0.13 0.00 0.42
28 20.2678 0.00 -0.05 0.00 -0.13
29 20.2682 0.00 0.01 0.00 -0.16
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.
03TK58 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.392 43.392 43.392 ecceobj 0.060 0.060 0.060 incobj 3.348 3.348 3.348 qmin 39.787 39.786 39.787 qmax 46.697 46.697 46.697 amean 43.147 43.147 43.147 amin 42.808 42.816 42.809 amax 43.502 43.498 43.504 emean 0.055 0.055 0.055 emin 0.033 0.033 0.033 emax 0.074 0.074 0.074 imean 1.393 1.393 1.393 imin 0.293 0.293 0.293 imax 2.381 2.381 2.381 excite_mean 0.061 0.061 0.061 fracstop 1.000 1.000 1.000 cjmean 3.087 3.087 3.087 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 196.3 196.2 196.4 kozaiamp 180.0 179.9 180.0