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: 04TZ387
# Created Sun Dec 22 02:08:45 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 50 observations of 51
# Arc: 8.16y
# First observation: 2004/10/13
# Last observation: 2012/12/12
# Chi-squared of fit: 257.88 DOF: 94 RMS: 0.40
# Min/Max residuals: -0.76 1.25
# Exact a, adot, b, bdot, g, gdot:
5.109223E-05 1.576921E+00 2.568566E-06 2.363138E-02 4.445439E-01 7.576753E-01
# Covariance matrix:
2.2412E-09 -5.9707E-06 5.1629E-11 -1.3651E-07 1.1769E-09 -6.7946E-06
-5.9707E-06 1.6060E-02 -1.3759E-07 3.6716E-04 -3.1313E-06 1.8276E-02
5.1629E-11 -1.3759E-07 1.9550E-12 -3.1769E-09 2.7120E-11 -1.5658E-07
-1.3651E-07 3.6716E-04 -3.1769E-09 8.9890E-06 -7.1592E-08 4.1784E-04
1.1769E-09 -3.1313E-06 2.7120E-11 -7.1592E-08 6.1835E-10 -3.5634E-06
-6.7946E-06 1.8276E-02 -1.5658E-07 4.1784E-04 -3.5634E-06 2.0798E-02
# lat0 lon0 xBary yBary zBary JD0
1.477326 56.504465 0.592646 0.020900 -0.806757 2453291.911113
# Heliocentric elements and errors
Epoch: 2453291.5000 = 2004/10/13
Mean Anomaly: 34.22452 +/- 0.003
Argument of Peri: 337.25968 +/- 0.000
Long of Asc Node: 3.49545 +/- 0.000
Inclination: 1.59326 +/- 0.000
Eccentricity: 0.33118046 +/- 0.0533
Semi-Major Axis: 3.98588185 +/- 0.0000
Time of Perihelion: 2453015.1752 +/- 0.0
Perihelion: 2.66583566 +/- 0.2123
Aphelion: 5.30592804 +/- 0.2123
Period (y) 7.9578 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 2.17631157 +/- 0.0000
Ecliptic Y 2.22217093 +/- 0.0000
Ecliptic Z 0.05800359 +/- 0.0000
Ecliptic XDOT -0.00552818 +/- 0.0000
Ecliptic YDOT 0.00923960 +/- 0.0000
Ecliptic ZDOT 0.00026589 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 3.11087311 +/- 0.0000
Geocenter to KBO 2.24947392 +/- 0.0000
# Hcoef: 15.77
The following table shows the complete astrometric record for 04TZ387. 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 (04TZ387) followed by the observatory code and reference code for the source of the astrometry.
2004 10 13.41037 03 35 19.11 +20 48 34.1 20.6V 04TZ387 691 C~5VAB 2004 10 13.43812 03 35 18.25 +20 48 32.7 20.7V 04TZ387 691 C~5VAB 2004 10 13.46492 03 35 17.45 +20 48 31.0 20.6V 04TZ387 691 C~5VAB 2004 10 23.27514 03 29 44.76 +20 35 11.0 20.8V 04TZ387 691 C~5VAB 2004 10 23.30384 03 29 43.59 +20 35 08.5 20.2V 04TZ387 691 C~5VAB 2004 10 23.34398 03 29 42.00 +20 35 04.1 20.3V 04TZ387 691 C~5VAB 2010 05 18.40361 14 58 18.49 -18 31 57.5 21.4r 04TZ387 F51 C~7APo 2010 05 18.41442 14 58 18.03 -18 31 55.6 21.6r 04TZ387 F51 C~7APo 2011 07 21.50169 20 27 43.02 -21 22 23.3 18.9z 04TZ387 F51 C~7APo 2011 07 27.43565 20 23 27.075 -21 35 32.73 20.3g 04TZ387 F51 C~5VAB 2011 07 27.44530 20 23 26.634 -21 35 33.79 20.2g 04TZ387 F51 C~5VAB 2011 07 27.45569 20 23 26.159 -21 35 35.18 19.6r 04TZ387 F51 C~5VAB 2011 07 27.46498 20 23 25.729 -21 35 36.32 19.6r 04TZ387 F51 C~5VAB 2011 07 27.64891 20 23 17.62 -21 35 56.0 19.2V 04TZ387 E12 C~5VAB 2011 07 27.66103 20 23 17.08 -21 35 57.4 19.8V 04TZ387 E12 C~5VAB 2011 07 27.67311 20 23 16.51 -21 35 58.8 19.5V 04TZ387 E12 C~5VAB 2011 08 15.37262 20 10 27.83 -22 07 49.8 04TZ387 F51 C~7APo 2011 08 15.38390 20 10 27.40 -22 07 50.6 19.2y 04TZ387 F51 C~7APo 2011 09 14.30135 20 02 17.30 -22 07 35.3 19.6y 04TZ387 F51 C~7APo 2011 10 18.24103 20 19 29.96 -20 45 54.3 20.8r 04TZ387 F51 C~7APo 2011 10 18.25242 20 19 30.53 -20 45 52.0 20.9r 04TZ387 F51 C~7APo 2011 10 21.21351 20 22 11.45 -20 34 44.3 20.4z 04TZ387 F51 C~7APo 2011 11 16.20928 20 51 41.730 -18 28 29.21 21.3w 04TZ387 F51 C~5VAB 2011 11 16.21907 20 51 42.489 -18 28 25.70 21.2w 04TZ387 F51 C~5VAB 2011 11 16.22395 20 51 42.859 -18 28 23.99 21.3w 04TZ387 F51 C~5VAB 2012 10 14.41178 03 58 56.24 +22 07 54.3 20.9V 04TZ387 691 C~5VAB 2012 10 14.41425 03 58 56.17 +22 07 54.9 20.8V 04TZ387 691 C~5VAB 2012 10 14.42954 03 58 55.81 +22 07 54.1 21.1V 04TZ387 691 C~5VAB 2012 10 14.43201 03 58 55.73 +22 07 54.1 20.9V 04TZ387 691 C~5VAB 2012 10 14.44724 03 58 55.35 +22 07 53.1 20.8V 04TZ387 691 C~5VAB 2012 10 14.44972 03 58 55.28 +22 07 53.5 20.8V 04TZ387 691 C~5VAB 2012 10 22.43438 03 55 02.25 +22 01 30.6 20.7V 04TZ387 691 C~5VAB 2012 10 22.45208 03 55 01.63 +22 01 29.3 20.6V 04TZ387 691 C~5VAB 2012 10 22.46978 03 55 00.97 +22 01 28.2 20.5V 04TZ387 691 C~5VAB 2012 10 24.59705 03 53 46.64 +21 59 01.5 20.4r 04TZ387 F51 C~7APo 2012 10 24.60112 03 53 46.50 +21 59 01.3 20.3r 04TZ387 F51 C~7APo 2012 10 24.61487 03 53 45.97 +21 59 00.3 20.5r 04TZ387 F51 C~7APo 2012 11 05.20528 03 45 51.14 +21 40 26.5 20.9V 04TZ387 691 C~5VAB 2012 11 05.22645 03 45 50.17 +21 40 24.4 20.6V 04TZ387 691 C~5VAB 2012 11 05.24415 03 45 49.37 +21 40 23.3 20.4V 04TZ387 691 C~5VAB 2012 11 05.37615 03 45 43.41 +21 40 07.7 20.3i 04TZ387 F51 C~7APo 2012 11 05.38923 03 45 42.80 +21 40 06.2 20.2i 04TZ387 F51 C~7APo 2012 11 06.53086 03 44 50.75 +21 37 50.3 20.2i 04TZ387 F51 C~7APo 2012 11 06.54400 03 44 50.13 +21 37 48.5 20.2i 04TZ387 F51 C~7APo 2012 11 17.15871 03 36 29.82 +21 13 54.1 04TZ387 691 C~5ZVY 2012 11 17.17405 03 36 29.06 +21 13 52.7 04TZ387 691 C~5ZVY 2012 11 17.18938 03 36 28.10 +21 13 50.9 04TZ387 691 C~5ZVY 2012 12 07.416950 03 21 51.40 +20 23 45.3 19.0J 04TZ387 T11 C~7xJC 2012 12 12.11037 03 19 12.63 +20 13 21.8 20.6V 04TZ387 691 C~5VAB 2012 12 12.17347 03 19 10.61 +20 13 14.2 20.7V 04TZ387 691 C~5VAB 2012 12 12.22120 03 19 09.08 +20 13 08.1 20.8V 04TZ387 691 C~5VAB
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 1.16 0.00 -0.11
2 0.0001 0.00 0.73 0.00 0.16
3 0.0001 0.00 0.77 0.00 0.10
4 0.0270 0.00 1.14 0.00 0.25
5 0.0271 0.00 0.86 0.00 0.61
6 0.0272 0.00 1.25 0.00 0.29
7 5.5934 0.00 0.79 0.00 0.33
8 5.5934 0.00 0.76 0.00 0.44
9 6.7682 0.00 0.56 0.00 0.27
10 6.7845 0.00 1.03 0.00 0.12
11 6.7845 0.00 1.05 0.00 0.30
12 6.7845 0.00 1.07 0.00 0.24
13 6.7845 0.00 1.01 0.00 0.29
14 6.7850 0.00 0.98 0.00 0.08
15 6.7851 0.00 1.16 0.00 0.19
16 6.7851 0.00 0.85 0.00 0.29
17 6.8363 0.00 1.07 0.00 0.27
18 6.8363 0.00 0.94 0.00 0.23
19 6.9183 0.00 0.58 0.00 0.29
20 7.0112 0.00 0.51 0.00 0.28
21 7.0112 0.00 0.32 0.00 0.07
22 7.0193 0.00 0.47 0.00 0.08
23 7.0905 0.00 0.74 0.00 0.02
24 7.0905 0.00 0.80 0.00 0.07
25 7.0905 0.00 0.70 0.00 0.06
26 8.0027 0.00 -0.25 0.00 -0.19
27 8.0027 0.00 -0.35 0.00 0.49
28 8.0028 0.00 0.14 0.00 0.17
29 8.0028 0.00 -0.11 0.00 0.25
30 8.0028 0.00 0.05 0.00 -0.26
31 8.0028 0.00 -0.04 0.00 0.22
32 8.0247 0.00 0.17 0.00 0.12
33 8.0248 0.00 0.22 0.00 0.01
34 8.0248 0.00 -0.35 0.00 0.12
35 8.0306 0.00 0.30 0.00 0.01
36 8.0306 0.00 0.48 0.00 0.13
37 8.0307 0.00 0.23 0.00 0.21
38 8.0624 0.00 0.01 0.00 -0.20
39 8.0625 0.00 0.09 0.00 0.06
40 8.0625 0.00 0.36 0.00 0.94
41 8.0629 0.00 0.17 0.00 0.02
42 8.0629 0.00 0.15 0.00 0.00
43 8.0660 0.00 0.35 0.00 0.13
44 8.0661 0.00 0.34 0.00 -0.03
45 8.0951 0.00 0.40 0.00 -0.55
46 8.0952 0.00 0.18 0.00 0.20
47 8.0952 0.00 ( -3.02) 0.00 ( 0.57)
48 8.1506 0.00 0.76 0.00 0.27
49 8.1634 0.00 -0.76 0.00 0.04
50 8.1636 0.00 -0.24 0.00 0.19
51 8.1638 0.00 0.20 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.
04TZ387 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 3.980 3.980 3.980 ecceobj 0.332 0.332 0.332 incobj 1.596 1.596 1.596 qmin 2.656 2.656 2.656 qmax 5.303 5.303 5.303 amean 3.980 3.980 3.980 amin 3.980 3.980 3.980 amax 3.980 3.980 3.980 emean 0.332 0.332 0.332 emin 0.332 0.332 0.332 emax 0.332 0.332 0.332 imean 2.504 2.504 2.504 imin 2.504 2.504 2.504 imax 2.504 2.504 2.504 excite_mean 0.335 0.335 0.335 fracstop 0.000 0.000 0.000 cjmean 8.249 8.249 8.249 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 337.5 337.5 337.5 kozaiamp 0.0 0.0 0.0