Orbit Fit and Astrometric record for 04OQ15

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 Wed Dec  8 02:10:04 2021
# 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           35.125    37.860    35.550
qmax           52.759    50.022    52.343
amean          43.727    43.727    43.727
amin           43.328    43.353    43.354
amax           44.206    44.152    44.157
emean           0.125     0.095     0.123
emin            0.054     0.053     0.055
emax            0.195     0.133     0.186
imean           7.817     9.267     8.013
imin            4.192     7.696     5.298
imax            9.957    10.622     9.953
excite_mean     0.191     0.188     0.191
fracstop        1.000     1.000     1.000
cjmean          3.055     3.056     3.055

libcent 0       180.1    -180.0     183.4
libamp  0       176.8    -180.0     172.8
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       276.8     198.0     262.6
kozaiamp         71.7     180.0      78.3