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: 04OQ15
# Created Fri Apr 26 01:11:58 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 31 observations of 31
# Arc: 16.96y
# First observation: 2004/07/22
# Last observation: 2021/07/09
# Chi-squared of fit: 75.56 DOF: 56 RMS: 0.28
# Min/Max residuals: -1.05 0.72
# Exact a, adot, b, bdot, g, gdot:
1.713401E-05 2.540084E-02 -3.839787E-06 -4.352755E-03 2.532816E-02 -2.779042E-03
# Covariance matrix:
1.3744E-13 -4.1095E-14 -5.8413E-15 5.0480E-15 8.1825E-14 -6.9859E-14
-4.1095E-14 2.6230E-14 4.5379E-15 -3.9274E-15 -2.8626E-14 5.4309E-14
-5.8413E-15 4.5379E-15 8.3231E-14 -7.6583E-15 -3.2057E-15 1.0119E-14
5.0480E-15 -3.9274E-15 -7.6583E-15 1.9650E-15 2.7359E-15 -8.7615E-15
8.1825E-14 -2.8626E-14 -3.2057E-15 2.7359E-15 2.5452E-13 -3.8117E-14
-6.9859E-14 5.4309E-14 1.0119E-14 -8.7615E-15 -3.8117E-14 1.2113E-13
# lat0 lon0 xBary yBary zBary JD0
0.337039 -71.440013 -0.203048 0.005929 -0.998854 2453208.939583
# Heliocentric elements and errors
Epoch: 2453208.5000 = 2004/07/22
Mean Anomaly: 310.77436 +/- 0.022
Argument of Peri: 238.98398 +/- 0.028
Long of Asc Node: 110.75810 +/- 0.000
Inclination: 9.74012 +/- 0.000
Eccentricity: 0.12231095 +/- 0.0000
Semi-Major Axis: 43.53553965 +/- 0.0040
Time of Perihelion: 2467555.2386 +/- 14.1
Perihelion: 38.21066636 +/- 0.0039
Aphelion: 48.86041293 +/- 0.0048
Period (y) 287.2593 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 13.07371972 +/- 0.0002
Ecliptic Y -38.30831380 +/- 0.0007
Ecliptic Z 0.23212980 +/- 0.0000
Ecliptic XDOT 0.00250606 +/- 0.0000
Ecliptic YDOT 0.00114911 +/- 0.0000
Ecliptic ZDOT -0.00047216 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.47848940 +/- 0.0007
Geocenter to KBO 39.48184999 +/- 0.0008
# Hcoef: 6.91
The following table shows the complete astrometric record for 04OQ15. 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 (04OQ15) followed by the observatory code and reference code for the source of the astrometry.
2004 07 22.43884 19 20 12.21 -21 49 10.6 23.3g 04OQ15 568 C~0WzG 2004 07 22.46715 19 20 12.08 -21 49 11.0 23.3g 04OQ15 568 C~0WzG 2004 07 22.49071 19 20 11.95 -21 49 11.5 23.2g 04OQ15 568 C~0WzG 2004 07 23.39183 19 20 07.36 -21 49 22.3 04OQ15 568 C~0WzG 2004 09 11.24837 19 16 57.06 -21 57 37.0 22.7i 04OQ15 568 C~0WzG 2004 09 11.29831 19 16 56.97 -21 57 37.4 04OQ15 568 C~0WzG 2004 09 11.34398 19 16 56.87 -21 57 37.6 04OQ15 568 C~0WzG 2005 07 10.29650 19 27 39.28 -21 48 54.0 04OQ15 675 C~0WzG 2005 07 10.33342 19 27 39.06 -21 48 54.5 04OQ15 675 C~0WzG 2005 07 10.36810 19 27 38.88 -21 48 54.9 04OQ15 675 C~0WzG 2005 07 11.32483 19 27 33.88 -21 49 07.8 04OQ15 675 C~0WzG 2005 09 24.14301 19 22 56.25 -22 01 41.4 23. r 04OQ15 695 C~0WzG 2005 09 26.14956 19 22 54.81 -22 01 49.6 23. r 04OQ15 695 C~0WzG 2005 10 03.11543 19 22 53.12 -22 02 10.6 23. R 04OQ15 675 C~0WzG 2005 10 04.11101 19 22 53.30 -22 02 12.8 04OQ15 675 C~0WzG 2006 05 03.43755 19 38 13.73 -21 37 47.9 22.7r 04OQ15 695 C~0WzG 2006 07 26.23693 19 32 42.56 -21 53 58.0 04OQ15 675 C~0WzG 2006 07 26.27523 19 32 42.33 -21 53 58.5 04OQ15 675 C~0WzG 2006 07 26.31541 19 32 42.15 -21 53 59.1 04OQ15 675 C~0WzG 2007 09 16.18083 19 35 49.00 -22 04 11.6 04OQ15 675 C~0WzG 2007 09 16.22482 19 35 48.91 -22 04 11.7 04OQ15 675 C~0WzG 2015 06 12.37177 20 35 08.13 -21 10 00.7 22.6R 04OQ15 695 C~1hTd 2015 06 12.39750 20 35 08.06 -21 10 01.0 04OQ15 695 C~1hTd 2015 06 12.42356 20 35 07.96 -21 10 01.3 04OQ15 695 C~1hTd 2015 06 12.44102 20 35 07.91 -21 10 01.5 04OQ15 695 C~1hTd 2017 07 02.38223 20 47 05.77 -20 58 29.7 04OQ15 G37 C~4q4H 2017 07 02.41071 20 47 05.59 -20 58 30.4 04OQ15 G37 C~4q4H 2017 07 02.44629 20 47 05.46 -20 58 31.2 04OQ15 G37 C~4q4H 2021 07 09.315990 21 13 26.026 -20 12 45.93 23.0G 04OQ15 G37 C~4unz 2021 07 09.362600 21 13 25.853 -20 12 47.34 04OQ15 G37 C~4unz 2021 07 09.407470 21 13 25.580 -20 12 49.09 04OQ15 G37 C~4unz
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 -0.31 0.00 0.19
2 0.0001 0.00 -0.05 0.00 0.14
3 0.0001 0.00 -0.16 0.00 -0.07
4 0.0026 0.00 -0.09 0.00 0.30
5 0.1391 0.00 -0.08 0.00 0.09
6 0.1392 0.00 0.08 0.00 0.00
7 0.1394 0.00 -0.04 0.00 0.09
8 0.9661 0.00 0.19 0.00 -0.28
9 0.9662 0.00 -0.16 0.00 -0.28
10 0.9663 0.00 -0.09 0.00 -0.22
11 0.9689 0.00 0.12 0.00 -0.24
12 1.1737 0.00 0.06 0.00 0.37
13 1.1792 0.00 0.01 0.00 0.06
14 1.1983 0.00 0.21 0.00 -0.07
15 1.2010 0.00 0.24 0.00 -0.13
16 1.7796 0.00 -0.12 0.00 0.25
17 2.0090 0.00 0.24 0.00 -0.18
18 2.0091 0.00 -0.22 0.00 -0.15
19 2.0092 0.00 0.22 0.00 -0.20
20 3.1506 0.00 0.01 0.00 0.01
21 3.1507 0.00 0.00 0.00 0.18
22 10.8882 0.00 0.22 0.00 -0.15
23 10.8883 0.00 0.46 0.00 -0.00
24 10.8884 0.00 0.27 0.00 0.15
25 10.8884 0.00 0.40 0.00 0.25
26 12.9444 0.00 -0.26 0.00 0.12
27 12.9445 0.00 -1.05 0.00 0.04
28 12.9446 0.00 -0.62 0.00 0.01
29 16.9634 0.00 0.22 0.00 0.30
30 16.9635 0.00 0.72 0.00 0.04
31 16.9636 0.00 -0.39 0.00 -0.60
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.
04OQ15 quality flag:2 Type: 7:4EEE CLASSICAL 7:4EEE axisobj 43.612 43.611 43.612 ecceobj 0.127 0.127 0.127 incobj 9.733 9.733 9.733 qmin 35.099 37.444 35.433 qmax 52.707 50.329 52.401 amean 43.727 43.727 43.727 amin 43.341 43.350 43.325 amax 44.167 44.138 44.167 emean 0.124 0.096 0.124 emin 0.054 0.052 0.055 emax 0.194 0.141 0.187 imean 7.822 9.232 7.915 imin 4.141 7.077 4.939 imax 9.956 10.678 9.957 excite_mean 0.191 0.188 0.191 fracstop 1.000 1.000 1.000 cjmean 3.055 3.056 3.055 libcent 0 178.5 -180.0 188.4 libamp 0 177.3 -180.0 171.6 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 278.2 197.8 265.8 kozaiamp 70.9 180.0 77.2