Orbit Fit and Astrometric record for 04OL12

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: 04OL12    
# Created Sat Mar 30 01:12:06 2024
# Orbit generated from Bernstein formalism
# Fitting      9 observations of      9
# Arc:   0.90y
# First observation: 2004/07/16
#  Last observation: 2005/06/09
Preliminary a, adot, b, bdot, g, gdot:
  -0.000023   0.022411   0.000001  -0.000393   0.023222   0.000000
# Chi-squared of fit:     5.50 DOF:     12 RMS:  0.14
# Min/Max residuals:    -0.28    0.20
# Exact a, adot, b, bdot, g, gdot:
  1.440201E-05  2.238642E-02  1.107206E-06 -3.951920E-04  2.347551E-02  1.504400E-03
# Covariance matrix:
  5.1298E-13  5.5421E-12 -1.2602E-14 -5.4927E-14  2.5248E-12  2.2861E-10
  5.5421E-12  5.2796E-10 -6.8451E-13 -4.4884E-12  1.6853E-10  1.8943E-08
 -1.2602E-14 -6.8451E-13  2.5256E-13 -3.3561E-13 -2.3531E-13 -2.5052E-11
 -5.4927E-14 -4.4884E-12 -3.3561E-13  1.3839E-12 -1.4520E-12 -1.6186E-10
  2.5248E-12  1.6853E-10 -2.3531E-13 -1.4520E-12  5.6038E-11  6.1177E-09
  2.2861E-10  1.8943E-08 -2.5052E-11 -1.6186E-10  6.1177E-09  6.8284E-07
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.731087  -71.048319   -0.091121   -0.048298   -1.014258  2453202.668413
# Heliocentric elements and errors
Epoch:              2453200.5000  =  2004/07/14
Mean Anomaly:           80.78819 +/-     3.820
Argument of Peri:      160.40520 +/-     0.304
Long of Asc Node:       39.69253 +/-     0.067
Inclination:             2.85001 +/-     0.001
Eccentricity:         0.07168127 +/-    0.0370
Semi-Major Axis:     43.88964458 +/-    0.2633
Time of Perihelion: 2429367.0497 +/-    1106.4
Perihelion:          40.74357907 +/-    1.6438
Aphelion:            47.03571008 +/-    1.6498
Period (y)              290.7711 +/-      2.62
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           14.23121593 +/-    0.0044
Ecliptic Y          -41.17180370 +/-    0.0128
Ecliptic Z           -2.02965810 +/-    0.0006
Ecliptic XDOT         0.00252334 +/-    0.0000
Ecliptic YDOT         0.00067726 +/-    0.0001
Ecliptic ZDOT        -0.00005429 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.60922424 +/-    0.0122
Geocenter to KBO     42.59758609 +/-    0.0136
# Hcoef:  6.12

The following table shows the complete astrometric record for 04OL12. 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 (04OL12) followed by the observatory code and reference code for the source of the astrometry.

2004 07  16.16767  19 23 45.27   -24 48 11.8   22.0R 04OL12    807  Cl0722      
2004 07  16.30130  19 23 44.58   -24 48 12.9         04OL12    807  Cl0722      
2004 07  17.04876  19 23 40.83   -24 48 20.0         04OL12    807  Cl0722      
2004 08  12.06973  19 21 38.94   -24 51 48.5   22.3R 04OL12    807  Cl2726      
2004 08  12.17692  19 21 38.47   -24 51 49.3         04OL12    807  Cl2726      
2004 09  17.26273  19 19 53.51   -24 53 30.0         04OL12    568  Cl5744      
2004 09  18.25252  19 19 52.19   -24 53 29.1         04OL12    568  Cl5744      
2005 06   9.22550  19 32 15.652  -24 31 16.95  22.2R 04OL12    304              
2005 06   9.25740  19 32 15.527  -24 31 17.56        04OL12    304              

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     0.14       0.00    -0.28
     2   0.0004     -9.46     0.04       0.25    -0.09
     3   0.0024    -61.01    -0.22       0.48     0.05
     4   0.0737  -1733.16     0.13      26.91     0.08
     5   0.0739  -1739.61    -0.08      27.00    -0.04
     6   0.1727  -3168.46    -0.17     122.78     0.16
     7   0.1755  -3186.14     0.15     126.10     0.20
     8   0.8982   7033.55    -0.02     -40.20     0.10
     9   0.8983   7031.77     0.02     -40.53    -0.17

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.

04OL12    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.887    45.186    43.608
ecceobj         0.066     0.176     0.007
incobj          2.856     2.858     2.855
qmin           40.172    36.290    42.132
qmax           48.070    54.876    45.507
amean          44.034    45.389    43.724
amin           43.690    44.985    43.388
amax           44.406    45.853    44.066
emean           0.067     0.176     0.012
emin            0.050     0.157     0.000
emax            0.083     0.197     0.033
imean           2.240     2.393     2.101
imin            1.434     1.174     1.314
imax            2.914     3.587     2.785
excite_mean     0.078     0.181     0.039
fracstop        1.000     1.000     1.000
cjmean          3.094     3.078     3.096

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       180.9     174.4     172.4
kozaiamp        180.0     179.9     180.0