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: 04VD131
# Created Sun Nov 24 02:08:42 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 34 observations of 34
# Arc: 21.16y
# First observation: 1999/10/14
# Last observation: 2020/12/09
# Chi-squared of fit: 129.93 DOF: 62 RMS: 0.35
# Min/Max residuals: -0.96 0.85
# Exact a, adot, b, bdot, g, gdot:
1.563122E-05 2.563169E-02 3.545471E-06 1.635665E-03 2.488862E-02 1.731418E-03
# Covariance matrix:
4.6108E-13 -7.8523E-14 1.7452E-14 -4.2664E-15 2.9634E-14 -1.0887E-13
-7.8523E-14 1.8172E-14 -4.3771E-15 1.0746E-15 1.1900E-14 2.7286E-14
1.7452E-14 -4.3771E-15 1.8722E-13 -1.4828E-14 -1.6808E-15 -7.2796E-15
-4.2664E-15 1.0746E-15 -1.4828E-14 1.6845E-15 4.6203E-16 1.7849E-15
2.9634E-14 1.1900E-14 -1.6808E-15 4.6203E-16 2.1423E-13 1.0258E-14
-1.0887E-13 2.7286E-14 -7.2796E-15 1.7849E-15 1.0258E-14 4.5389E-14
# lat0 lon0 xBary yBary zBary JD0
0.083156 37.828937 0.292649 0.001154 -0.945483 2451465.884856
# Heliocentric elements and errors
Epoch: 2451466.5000 = 1999/10/15
Mean Anomaly: 22.74320 +/- 0.009
Argument of Peri: 331.43437 +/- 0.012
Long of Asc Node: 36.13826 +/- 0.000
Inclination: 3.64093 +/- 0.000
Eccentricity: 0.13585193 +/- 0.0001
Semi-Major Axis: 46.84409500 +/- 0.0041
Time of Perihelion: 2444068.2361 +/- 3.1
Perihelion: 40.48023426 +/- 0.0044
Aphelion: 53.20795574 +/- 0.0053
Period (y) 320.6199 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 32.66858374 +/- 0.0006
Ecliptic Y 24.99340228 +/- 0.0005
Ecliptic Z 0.05846131 +/- 0.0000
Ecliptic XDOT -0.00158360 +/- 0.0000
Ecliptic YDOT 0.00235178 +/- 0.0000
Ecliptic ZDOT 0.00018028 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.13279319 +/- 0.0005
Geocenter to KBO 40.17899507 +/- 0.0007
# Hcoef: 6.53
The following table shows the complete astrometric record for 04VD131. 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 (04VD131) followed by the observatory code and reference code for the source of the astrometry.
1999 10 14.384113 02 21 45.32 +14 11 56.4 22.3V 04VD131 645 C~1Gi6 1999 10 14.384942 02 21 45.31 +14 11 56.4 22.2V 04VD131 645 C~1Gi6 1999 10 14.387430 02 21 45.30 +14 11 56.3 24.2V 04VD131 645 C~1Gi6 2004 11 09.39893 02 47 48.49 +16 44 37.0 22.8g 04VD131 568 C~0VDw 2004 11 09.42533 02 47 48.36 +16 44 36.4 22.9g 04VD131 568 C~0VDw 2004 11 09.45131 02 47 48.23 +16 44 36.0 23.0g 04VD131 568 C~0VDw 2004 11 10.31680 02 47 44.01 +16 44 17.2 22.6g 04VD131 568 C~0VDw 2005 01 05.25311 02 44 11.03 +16 28 48.4 22.5i 04VD131 568 C~0VDw 2005 01 05.32315 02 44 10.88 +16 28 47.4 22.3i 04VD131 568 C~0VDw 2005 01 05.37825 02 44 10.79 +16 28 47.3 22.7i 04VD131 568 C~0VDw 2006 10 25.42361 03 00 23.38 +17 49 56.8 23.0r 04VD131 568 C~0VDw 2006 10 25.46291 03 00 23.19 +17 49 56.1 22.8r 04VD131 568 C~0VDw 2006 10 25.49935 03 00 23.01 +17 49 55.4 22.5r 04VD131 568 C~0VDw 2006 10 26.37635 03 00 18.83 +17 49 39.1 22.6r 04VD131 568 C~0VDw 2006 10 26.40880 03 00 18.67 +17 49 38.2 22.6r 04VD131 568 C~0VDw 2006 10 26.45361 03 00 18.45 +17 49 37.5 22.9r 04VD131 568 C~0VDw 2006 10 26.61697 03 00 17.65 +17 49 34.3 22.7r 04VD131 568 C~0VDw 2006 10 27.44593 03 00 13.68 +17 49 18.9 22.6r 04VD131 568 C~0VDw 2006 10 27.49978 03 00 13.41 +17 49 17.8 21.9r 04VD131 568 C~0VDw 2006 10 27.54747 03 00 13.19 +17 49 16.9 22.6r 04VD131 568 C~0VDw 2006 11 24.29889 02 57 56.42 +17 40 06.6 04VD131 695 C~0VDw 2006 11 24.42674 02 57 55.81 +17 40 04.1 04VD131 695 C~0VDw 2007 01 15.26811 02 55 03.69 +17 27 58.6 04VD131 568 C~0VDw 2007 01 15.31770 02 55 03.62 +17 27 59.0 04VD131 568 C~0VDw 2007 01 15.36109 02 55 03.60 +17 27 58.4 04VD131 568 C~0VDw 2007 01 16.26706 02 55 02.49 +17 27 53.7 04VD131 568 C~0VDw 2007 01 16.30728 02 55 02.45 +17 27 53.5 04VD131 568 C~0VDw 2007 01 16.34715 02 55 02.39 +17 27 52.9 04VD131 568 C~0VDw 2013 10 05.50998 03 41 35.84 +20 59 56.1 22.5R 04VD131 695 C~0zdg 2013 10 06.34490 03 41 33.05 +20 59 48.6 04VD131 695 C~0zdg 2013 10 06.48047 03 41 32.59 +20 59 47.6 04VD131 695 C~0zdg 2020 12 09.281350 04 16 34.898 +23 14 23.27 23.0G 04VD131 G37 C~4Ty4 2020 12 09.324210 04 16 34.679 +23 14 22.51 04VD131 G37 C~4Ty4 2020 12 09.360090 04 16 34.512 +23 14 21.98 04VD131 G37 C~4Ty4
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 0.30 0.00 -0.45
2 0.0000 0.00 0.21 0.00 -0.43
3 0.0000 0.00 0.24 0.00 -0.47
4 5.0733 0.00 -0.96 0.00 0.59
5 5.0734 0.00 -0.91 0.00 0.55
6 5.0734 0.00 -0.90 0.00 0.70
7 5.0758 0.00 -0.18 0.00 0.19
8 5.2289 0.00 0.16 0.00 0.85
9 5.2291 0.00 -0.03 0.00 0.44
10 5.2293 0.00 0.23 0.00 0.81
11 7.0309 0.00 0.13 0.00 -0.24
12 7.0310 0.00 0.14 0.00 -0.21
13 7.0311 0.00 0.10 0.00 -0.22
14 7.0335 0.00 0.21 0.00 -0.04
15 7.0336 0.00 0.18 0.00 -0.33
16 7.0337 0.00 0.17 0.00 -0.19
17 7.0342 0.00 0.12 0.00 -0.28
18 7.0364 0.00 0.25 0.00 -0.01
19 7.0366 0.00 0.17 0.00 -0.08
20 7.0367 0.00 0.38 0.00 -0.07
21 7.1127 0.00 0.12 0.00 -0.10
22 7.1131 0.00 0.26 0.00 -0.06
23 7.2550 0.00 -0.25 0.00 -0.45
24 7.2551 0.00 -0.30 0.00 0.23
25 7.2552 0.00 0.26 0.00 -0.12
26 7.2577 0.00 -0.07 0.00 0.04
27 7.2578 0.00 0.09 0.00 0.05
28 7.2579 0.00 -0.08 0.00 -0.34
29 13.9771 0.00 0.15 0.00 0.01
30 13.9794 0.00 -0.08 0.00 -0.32
31 13.9797 0.00 0.04 0.00 -0.14
32 21.1551 0.00 -0.12 0.00 0.22
33 21.1552 0.00 -0.09 0.00 -0.02
34 21.1553 0.00 0.17 0.00 -0.10
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.
04VD131 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.839 46.839 46.839 ecceobj 0.136 0.136 0.136 incobj 3.641 3.641 3.641 qmin 39.650 39.658 39.643 qmax 53.554 53.574 53.538 amean 46.427 46.427 46.427 amin 46.046 46.037 46.039 amax 46.859 46.877 46.858 emean 0.130 0.130 0.130 emin 0.117 0.116 0.117 emax 0.144 0.144 0.143 imean 2.961 2.961 2.961 imin 2.453 2.453 2.454 imax 3.513 3.513 3.513 excite_mean 0.140 0.140 0.140 fracstop 1.000 1.000 1.000 cjmean 3.107 3.107 3.107 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 176.4 176.6 176.3 kozaiamp 180.0 180.0 180.0