Orbit Fit and Astrometric record for 03QM112

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: 03QM112   
# Created Tue Dec  7 02:09:45 2021
# Orbit generated from Bernstein formalism
# Fitting      9 observations of      9
# Arc:  53.93d
# First observation: 2003/08/29
#  Last observation: 2003/10/22
Preliminary a, adot, b, bdot, g, gdot:
  -0.000002   0.230101  -0.000012  -0.053003   0.089143   0.000000
# Chi-squared of fit:    11.23 DOF:     12 RMS:  0.20
# Min/Max residuals:    -0.43    0.45
# Exact a, adot, b, bdot, g, gdot:
  3.536253E-05  1.851721E-01 -9.979233E-06 -5.442328E-02  8.211937E-02  5.017350E-03
# Covariance matrix:
  3.0998E-13  1.6068E-11 -3.4398E-17  1.4996E-15  3.3698E-12 -3.4449E-11
  1.6068E-11  2.5623E-07 -7.5654E-11  1.3904E-08  3.4794E-08 -2.4227E-06
 -3.4398E-17 -7.5654E-11  3.0543E-13 -6.6216E-12 -1.0098E-11  7.4363E-10
  1.4996E-15  1.3904E-08 -6.6216E-12  8.3842E-10  1.8558E-09 -1.3669E-07
  3.3698E-12  3.4794E-08 -1.0098E-11  1.8558E-09  4.7542E-09 -3.2447E-07
 -3.4449E-11 -2.4227E-06  7.4363E-10 -1.3669E-07 -3.2447E-07  2.3639E-05
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.886346  -29.239707   -0.082559   -0.015623   -1.010621  2452880.840443
# Heliocentric elements and errors
Epoch:              2452880.5000  =  2003/08/29
Mean Anomaly:            0.18288 +/-     0.147
Argument of Peri:      178.94062 +/-     3.180
Long of Asc Node:      148.34712 +/-     0.009
Inclination:            16.41541 +/-     0.055
Eccentricity:         0.84200593 +/-    0.0020
Semi-Major Axis:     83.35554917 +/-    1.1290
Time of Perihelion: 2452739.2937 +/-     113.4
Perihelion:          13.16968218 +/-    0.2438
Aphelion:           153.54141617 +/-    2.0863
Period (y)              761.0444 +/-     15.46
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           11.54417856 +/-    0.0089
Ecliptic Y           -6.36521198 +/-    0.0050
Ecliptic Z           -0.18846617 +/-    0.0002
Ecliptic XDOT         0.00313183 +/-    0.0001
Ecliptic YDOT         0.00531326 +/-    0.0001
Ecliptic ZDOT        -0.00181666 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   13.18406241 +/-    0.0082
Geocenter to KBO     12.17739513 +/-    0.0102
# Hcoef: 14.06

The following table shows the complete astrometric record for 03QM112. 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 (03QM112) followed by the observatory code and reference code for the source of the astrometry.

2003 08  29.33970  22 12 32.57   -12 01 57.6   24.5R 03QM112   568  Ci9432      
2003 08  29.35627  22 12 32.38   -12 01 59.2   24.8R 03QM112   568  Ci9432      
2003 08  29.37285  22 12 32.22   -12 02 00.4   24.5R 03QM112   568  Ci9432      
2003 08  30.40237  22 12 20.96   -12 03 36.6   25.0R 03QM112   568  Ci9432      
2003 08  30.42361  22 12 20.69   -12 03 38.3   25.1R 03QM112   568  Ci9432      
2003 09  28.25237  22 07 43.87   -12 43 52.1         03QM112   568  Ci9432      
2003 09  28.27864  22 07 43.66   -12 43 53.8         03QM112   568  Ci9432      
2003 10  22.22955  22 05 46.63   -13 05 26.0         03QM112   568  Ci9432      
2003 10  22.27440  22 05 46.50   -13 05 27.9         03QM112   568  Ci9432      

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     0.06       0.00    -0.10
     2   0.0000     -3.17    -0.02      -0.51    -0.12
     3   0.0001     -5.79     0.45      -0.80     0.07
     4   0.0029   -194.36    -0.08     -32.13    -0.16
     5   0.0030   -198.67    -0.43     -32.31     0.27
     6   0.0819  -4845.80     0.01    -860.69    -0.03
     7   0.0820  -4849.28     0.01    -861.21     0.14
     8   0.1475  -6906.02     0.27   -1473.72     0.02
     9   0.1477  -6908.46    -0.27   -1474.84    -0.08

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.

03QM112    quality flag:1

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        86.222    97.959    83.793
ecceobj         0.847     0.867     0.842
incobj         16.390    16.567    16.328
qmin           12.809    12.536    12.735
qmax          166.161   185.264   236.792
amean          78.008    83.211    96.106
amin           65.041    74.239    73.222
amax           89.603    99.251   125.195
emean           0.828     0.841     0.858
emin            0.791     0.823     0.816
emax            0.855     0.872     0.893
imean          15.796    16.711    17.052
imin           14.997    15.106    14.996
imax           17.513    19.589    19.153
excite_mean     0.871     0.889     0.907
fracstop        0.061     0.112     0.130
cjmean          2.126     2.086     2.061

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       208.2     213.4     236.1
kozaiamp         31.0      43.5      47.2