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: 04VM131
# Created Sun Dec 22 02:08:47 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 34 observations of 34
# Arc: 16.43y
# First observation: 1999/10/08
# Last observation: 2016/03/13
# Chi-squared of fit: 82.03 DOF: 62 RMS: 0.27
# Min/Max residuals: -0.57 0.44
# Exact a, adot, b, bdot, g, gdot:
2.687265E-05 8.556072E-02 -4.949259E-06 -1.968702E-02 4.975369E-02 1.210165E-02
# Covariance matrix:
1.1970E-13 -1.1547E-14 -2.7397E-15 -6.0588E-16 8.3509E-15 3.8371E-15
-1.1547E-14 2.7782E-15 -5.3476E-16 -1.2008E-16 1.4788E-15 7.6054E-16
-2.7397E-15 -5.3476E-16 1.0525E-13 -1.4321E-14 -1.1415E-15 -7.5585E-16
-6.0588E-16 -1.2008E-16 -1.4321E-14 2.2465E-15 -1.1192E-16 -1.8637E-16
8.3509E-15 1.4788E-15 -1.1415E-15 -1.1192E-16 1.5201E-14 7.0096E-16
3.8371E-15 7.6054E-16 -7.5585E-16 -1.8637E-16 7.0096E-16 1.1814E-15
# lat0 lon0 xBary yBary zBary JD0
5.913320 23.031866 0.143861 0.100842 -0.975730 2451459.920778
# Heliocentric elements and errors
Epoch: 2451460.5000 = 1999/10/09
Mean Anomaly: 2.23637 +/- 0.001
Argument of Peri: 137.91401 +/- 0.000
Long of Asc Node: 225.94194 +/- 0.000
Inclination: 14.00679 +/- 0.000
Eccentricity: 0.70686643 +/- 0.0000
Semi-Major Axis: 70.44204832 +/- 0.0000
Time of Perihelion: 2450119.0072 +/- 0.3
Perihelion: 20.64892894 +/- 0.0001
Aphelion: 120.23516770 +/- 0.0001
Period (y) 591.2296 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 19.36482171 +/- 0.0000
Ecliptic Y 8.07577853 +/- 0.0000
Ecliptic Z 2.07058137 +/- 0.0000
Ecliptic XDOT -0.00113425 +/- 0.0000
Ecliptic YDOT 0.00464389 +/- 0.0000
Ecliptic ZDOT -0.00100889 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 21.08313837 +/- 0.0000
Geocenter to KBO 20.09896561 +/- 0.0000
# Hcoef: 8.37
The following table shows the complete astrometric record for 04VM131. 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 (04VM131) followed by the observatory code and reference code for the source of the astrometry.
1999 10 08.420035 01 16 11.73 +14 26 14.6 21.1V 04VM131 645 C~1sct 1999 10 08.420856 01 16 11.72 +14 26 14.6 04VM131 645 C~1sct 1999 10 08.423345 01 16 11.69 +14 26 14.4 04VM131 645 C~1sct 1999 10 13.340393 01 15 32.90 +14 21 33.4 21.6V 04VM131 645 C~2JxC 1999 10 13.34045 01 15 32.89 +14 21 33.6 20.7r 04VM131 705 C~0nKG 1999 10 13.341222 01 15 32.90 +14 21 33.3 21.2V 04VM131 645 C~2JxC 1999 10 13.34128 01 15 32.88 +14 21 33.5 04VM131 705 C~0nKG 1999 10 13.343710 01 15 32.88 +14 21 33.2 22.2V 04VM131 645 C~2JxC 1999 10 13.34377 01 15 32.86 +14 21 33.4 04VM131 705 C~0nKG 2002 12 05.09041 02 08 37.95 +15 29 17.9 21.7R 04VM131 695 C~0hBM 2002 12 05.20111 02 08 37.34 +15 29 12.8 04VM131 695 C~0hBM 2004 11 09.39893 02 48 08.23 +16 31 07.3 22.5g 04VM131 568 C~0hBM 2004 11 09.42533 02 48 08.01 +16 31 06.0 22.5g 04VM131 568 C~0hBM 2004 11 09.45131 02 48 07.81 +16 31 04.9 22.5g 04VM131 568 C~0hBM 2004 11 10.31680 02 48 00.97 +16 30 25.1 22.0g 04VM131 568 C~0hBM 2005 01 05.24316 02 42 38.61 +15 56 08.5 21.9i 04VM131 568 C~0hBM 2005 01 05.31687 02 42 38.44 +15 56 06.9 21.9i 04VM131 568 C~0hBM 2005 01 05.36913 02 42 38.32 +15 56 05.8 21.9i 04VM131 568 C~0hBM 2006 10 20.291088 03 24 24.22 +17 00 36.0 04VM131 645 C~1sct 2006 10 20.291910 03 24 24.21 +17 00 36.0 04VM131 645 C~1sct 2006 10 20.294398 03 24 24.19 +17 00 35.9 04VM131 645 C~1sct 2006 10 21.372481 03 24 16.89 +16 59 56.7 21.9V 04VM131 645 C~1sct 2006 10 21.373311 03 24 16.88 +16 59 56.7 21.8V 04VM131 645 C~1sct 2006 10 21.375798 03 24 16.86 +16 59 56.6 22.6V 04VM131 645 C~1sct 2006 10 26.43959 03 23 41.21 +16 56 48.4 04VM131 568 C~0hBM 2006 10 26.50795 03 23 40.69 +16 56 46.3 04VM131 568 C~0hBM 2007 01 15.29315 03 15 17.34 +16 14 23.4 22.5r 04VM131 568 C~0hBM 2007 01 15.33923 03 15 17.24 +16 14 22.8 22.6r 04VM131 568 C~0hBM 2007 01 15.38038 03 15 17.15 +16 14 22.4 22.4r 04VM131 568 C~0hBM 2007 01 16.28614 03 15 15.40 +16 14 11.6 04VM131 568 C~0hBM 2007 01 16.32601 03 15 15.32 +16 14 11.1 04VM131 568 C~0hBM 2007 01 16.36589 03 15 15.25 +16 14 10.6 04VM131 568 C~0hBM 2016 03 13.12517 05 08 43.45 +15 03 05.5 23.0R 04VM131 G37 C~1pPj 2016 03 13.22429 05 08 43.64 +15 03 06.9 04VM131 G37 C~1pPj
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 0.17 0.00 -0.22
2 0.0000 0.00 0.12 0.00 -0.18
3 0.0000 0.00 -0.04 0.00 -0.24
4 0.0135 0.00 0.05 0.00 -0.12
5 0.0135 0.00 -0.10 0.00 0.08
6 0.0135 0.00 0.15 0.00 -0.17
7 0.0135 0.00 -0.15 0.00 0.03
8 0.0135 0.00 0.15 0.00 -0.13
9 0.0135 0.00 -0.15 0.00 0.08
10 3.1586 0.00 -0.25 0.00 0.35
11 3.1589 0.00 -0.06 0.00 0.13
12 5.0896 0.00 0.25 0.00 0.42
13 5.0897 0.00 0.15 0.00 0.33
14 5.0898 0.00 0.30 0.00 0.42
15 5.0921 0.00 0.22 0.00 0.35
16 5.2452 0.00 -0.48 0.00 0.39
17 5.2454 0.00 -0.46 0.00 0.32
18 5.2456 0.00 -0.46 0.00 0.31
19 7.0332 0.00 -0.08 0.00 -0.57
20 7.0332 0.00 -0.14 0.00 -0.54
21 7.0332 0.00 -0.19 0.00 -0.55
22 7.0361 0.00 0.44 0.00 -0.43
23 7.0361 0.00 0.38 0.00 -0.40
24 7.0362 0.00 0.34 0.00 -0.41
25 7.0500 0.00 -0.08 0.00 -0.26
26 7.0502 0.00 -0.32 0.00 0.22
27 7.2714 0.00 0.12 0.00 -0.18
28 7.2715 0.00 0.11 0.00 -0.18
29 7.2716 0.00 0.08 0.00 -0.04
30 7.2741 0.00 -0.05 0.00 0.37
31 7.2742 0.00 -0.05 0.00 0.36
32 7.2743 0.00 0.08 0.00 0.36
33 16.4290 0.00 0.07 0.00 0.01
34 16.4293 0.00 -0.15 0.00 0.04
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.
04VM131 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 70.362 70.362 70.361 ecceobj 0.707 0.707 0.707 incobj 14.006 14.006 14.006 qmin 20.166 20.253 20.075 qmax 123.363 130.143 122.662 amean 68.589 71.433 69.380 amin 65.603 67.358 64.740 amax 72.028 75.796 71.706 emean 0.697 0.707 0.702 emin 0.679 0.689 0.681 emax 0.713 0.721 0.711 imean 14.341 15.367 14.235 imin 13.504 14.581 13.883 imax 16.192 17.455 14.885 excite_mean 0.740 0.755 0.744 fracstop 0.137 0.153 0.055 cjmean 2.533 2.520 2.531 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 199.6 201.9 161.4 kozaiamp 58.8 56.5 25.5