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: 04OS15
# Created Sat Apr 20 01:11:59 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 23 observations of 23
# Arc: 19.12y
# First observation: 2004/07/22
# Last observation: 2023/09/06
# Chi-squared of fit: 21.42 DOF: 40 RMS: 0.17
# Min/Max residuals: -0.37 0.37
# Exact a, adot, b, bdot, g, gdot:
1.810982E-05 2.920165E-02 -2.618999E-06 -2.142653E-03 2.598124E-02 -3.893867E-03
# Covariance matrix:
1.3733E-13 -4.1490E-14 -3.1123E-15 2.7665E-15 4.0052E-14 -6.1549E-14
-4.1490E-14 3.0917E-14 2.6361E-15 -2.3253E-15 -2.2863E-14 5.1555E-14
-3.1123E-15 2.6361E-15 9.5709E-14 -6.7092E-15 -2.2712E-15 4.5839E-15
2.7665E-15 -2.3253E-15 -6.7092E-15 1.3372E-15 2.3877E-15 -4.0710E-15
4.0052E-14 -2.2863E-14 -2.2712E-15 2.3877E-15 2.5762E-13 -5.6782E-14
-6.1549E-14 5.1555E-14 4.5839E-15 -4.0710E-15 -5.6782E-14 9.0535E-14
# lat0 lon0 xBary yBary zBary JD0
0.658340 -65.199539 -0.093442 0.011717 -1.014940 2453208.949903
# Heliocentric elements and errors
Epoch: 2453208.5000 = 2004/07/22
Mean Anomaly: 344.02338 +/- 0.005
Argument of Peri: 202.75660 +/- 0.007
Long of Asc Node: 123.59000 +/- 0.000
Inclination: 4.25322 +/- 0.000
Eccentricity: 0.31367902 +/- 0.0001
Semi-Major Axis: 55.53782971 +/- 0.0072
Time of Perihelion: 2459917.5982 +/- 28.1
Perihelion: 38.11677745 +/- 0.0062
Aphelion: 72.95888197 +/- 0.0102
Period (y) 413.8963 +/- 0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 16.65077994 +/- 0.0003
Ecliptic Y -35.81774282 +/- 0.0007
Ecliptic Z 0.44217260 +/- 0.0000
Ecliptic XDOT 0.00262028 +/- 0.0000
Ecliptic YDOT 0.00165388 +/- 0.0000
Ecliptic ZDOT -0.00023038 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.50141329 +/- 0.0006
Geocenter to KBO 38.48942775 +/- 0.0008
# Hcoef: 7.24
The following table shows the complete astrometric record for 04OS15. 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 (04OS15) followed by the observatory code and reference code for the source of the astrometry.
2004 07 22.44916 19 46 25.34 -20 31 10.2 23.4g 04OS15 568 C~0X5X 2004 07 22.47696 19 46 25.19 -20 31 10.6 23.3g 04OS15 568 C~0X5X 2004 07 22.50053 19 46 25.08 -20 31 11.0 23.5g 04OS15 568 C~0X5X 2004 07 23.40162 19 46 20.44 -20 31 24.1 04OS15 568 C~0X5X 2004 09 11.26870 19 42 55.27 -20 41 24.0 04OS15 568 C~0X5X 2004 09 11.31874 19 42 55.13 -20 41 24.5 23.2i 04OS15 568 C~0X5X 2004 09 11.36527 19 42 55.02 -20 41 24.7 23.0i 04OS15 568 C~0X5X 2005 07 09.34045 19 54 42.41 -20 16 34.7 04OS15 675 C~0X5X 2005 07 09.39009 19 54 42.17 -20 16 35.6 04OS15 675 C~0X5X 2005 08 03.31290 19 52 34.45 -20 22 53.5 04OS15 309 C~0X5X 2005 09 26.15948 19 49 31.50 -20 32 33.8 04OS15 695 C~0X5X 2005 09 26.22250 19 49 31.43 -20 32 34.1 04OS15 695 C~0X5X 2006 07 26.24589 20 00 27.18 -20 08 27.6 04OS15 675 C~0X5X 2006 07 26.28633 20 00 26.95 -20 08 28.3 04OS15 675 C~0X5X 2007 05 16.41857 20 12 15.74 -19 39 29.3 04OS15 675 C~0X5X 2007 05 16.45495 20 12 15.71 -19 39 29.4 04OS15 675 C~0X5X 2008 06 07.31146 20 18 33.02 -19 27 23.1 04OS15 807 C~0X5X 2008 06 07.38708 20 18 32.74 -19 27 23.7 04OS15 807 C~0X5X 2019 09 04.193510 21 31 46.998 -15 59 26.76 23.0G 04OS15 G37 C~3cX7 2019 09 04.265730 21 31 46.665 -15 59 28.67 04OS15 G37 C~3cX7 2019 09 04.321210 21 31 46.408 -15 59 29.90 04OS15 G37 C~3cX7 2023 09 06.136160 22 00 28.985 -14 05 09.41 22.9G 04OS15 G37 C~7APS 2023 09 06.221180 22 00 28.580 -14 05 11.41 04OS15 G37 C~7APS
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 -0.12 0.00 0.25
2 0.0001 0.00 -0.19 0.00 0.25
3 0.0001 0.00 0.02 0.00 0.19
4 0.0026 0.00 -0.07 0.00 0.11
5 0.1391 0.00 0.11 0.00 0.10
6 0.1393 0.00 -0.10 0.00 -0.00
7 0.1394 0.00 -0.01 0.00 0.16
8 0.9634 0.00 0.11 0.00 -0.10
9 0.9636 0.00 0.37 0.00 -0.26
10 1.0318 0.00 0.02 0.00 -0.11
11 1.1792 0.00 -0.18 0.00 0.03
12 1.1794 0.00 -0.06 0.00 0.04
13 2.0090 0.00 0.35 0.00 -0.27
14 2.0091 0.00 0.07 0.00 -0.31
15 2.8144 0.00 -0.17 0.00 -0.25
16 2.8145 0.00 0.15 0.00 -0.16
17 3.8764 0.00 0.11 0.00 -0.05
18 3.8766 0.00 -0.37 0.00 0.22
19 15.1177 0.00 -0.09 0.00 0.27
20 15.1179 0.00 -0.02 0.00 0.00
21 15.1181 0.00 0.02 0.00 0.03
22 19.1230 0.00 0.01 0.00 -0.16
23 19.1233 0.00 0.02 0.00 0.02
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.
04OS15 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 55.803 55.802 55.803 ecceobj 0.318 0.318 0.318 incobj 4.246 4.246 4.246 qmin 37.415 37.424 37.420 qmax 75.257 75.254 75.308 amean 55.874 55.874 55.873 amin 55.189 55.207 55.199 amax 56.627 56.649 56.639 emean 0.317 0.317 0.317 emin 0.305 0.305 0.305 emax 0.330 0.329 0.330 imean 2.843 2.843 2.843 imin 2.423 2.423 2.422 imax 3.311 3.316 3.313 excite_mean 0.321 0.321 0.321 fracstop 1.000 1.000 1.000 cjmean 3.119 3.119 3.119 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 178.0 178.0 178.0 kozaiamp 180.0 180.0 179.9