Orbit Fit and Astrometric record for 03KO20

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: 03KO20    
# Created Tue Dec 12 02:37:19 2017
# Orbit generated from Bernstein formalism
# Fitting   11 observations of   12
# Arc:  13.00y
# First observation: 2003/05/30
#  Last observation: 2016/05/29
Preliminary a, adot, b, bdot, g, gdot:
  -0.000684   0.021107  -0.000027   0.000635   0.022142   0.000000
# Chi-squared of fit:     9.60 DOF:   16 RMS:  0.17
# Min/Max residuals:    -0.35    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.363839E-05  2.040837E-02  1.684958E-07  6.133771E-04  2.235640E-02 -6.469502E-04
# Covariance matrix:
  6.0471E-13 -4.6958E-13  1.2153E-14 -1.3530E-14 -5.2577E-14 -1.5452E-12
 -4.6958E-13  6.8461E-13 -1.8032E-14  2.0707E-14 -1.9699E-13  2.3697E-12
  1.2153E-14 -1.8032E-14  1.9933E-13 -2.0089E-14  4.8934E-15 -6.2895E-14
 -1.3530E-14  2.0707E-14 -2.0089E-14  6.3831E-15 -6.3457E-15  7.2329E-14
 -5.2577E-14 -1.9699E-13  4.8934E-15 -6.3457E-15  3.6923E-13 -7.3144E-13
 -1.5452E-12  2.3697E-12 -6.2895E-14  7.2329E-14 -7.3144E-13  8.2779E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.457517 -146.588458   -0.582876   -0.006617   -0.832928  2452789.530403
# Heliocentric elements and errors
Epoch:              2452780.5000  =  2003/05/21
Mean Anomaly:          204.81710 +/-     0.129
Argument of Peri:      142.41283 +/-     0.127
Long of Asc Node:      228.67247 +/-     0.001
Inclination:             1.78922 +/-     0.000
Eccentricity:         0.03905366 +/-    0.0002
Semi-Major Axis:     43.99582530 +/-    0.0063
Time of Perihelion: 2498727.4826 +/-      36.8
Perihelion:          42.27762731 +/-    0.0094
Aphelion:            45.71402330 +/-    0.0097
Period (y)              291.8270 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -37.71285694 +/-    0.0010
Ecliptic Y          -25.57132354 +/-    0.0007
Ecliptic Z           -0.35717509 +/-    0.0000
Ecliptic XDOT         0.00143593 +/-    0.0000
Ecliptic YDOT        -0.00204808 +/-    0.0000
Ecliptic ZDOT         0.00007593 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   45.56621270 +/-    0.0009
Geocenter to KBO     44.72991703 +/-    0.0012
# Hcoef:  6.61

The following table shows the complete astrometric record for 03KO20. 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 (03KO20) followed by the observatory code and reference code for the source of the astrometry.

2003 05  30.02966  14 04 05.73   -13 04 57.2   22.4R 03KO20    807  Ci2136      
2003 05  30.12296  14 04 05.39   -13 04 55.8         03KO20    807  Ci2136      
2003 05  31.06967  14 04 02.24   -13 04 38.0         03KO20    807  Ci2136      
2004 03  16.39016  14 13 36.28   -13 52 41.1   23.2R 03KO20    695  C~077O      
2004 03  16.48226  14 13 35.98   -13 52 39.7         03KO20    695  C~077O      
2004 08  11.99963  14 07 34.77   -13 19 57.0   22.2R 03KO20    807  Cl2711      
2004 08  13.01778  14 07 36.93   -13 20 07.7         03KO20    807  Cl2711      
2005 03  09.51012  14 18 33.32   -14 15 34.2   23.1R 03KO20    695  Cn0206      
2005 03  10.51628  14 18 30.63   -14 15 20.6         03KO20    695  Cn0206      
2005 03  11.50263  14 18 27.92   -14 15 07.0         03KO20    695  Cn0206      
2016 05  29.22770  15 05 06.902  -17 22 58.20  23.6R 03KO20    G37              
2016 05  29.30161  15 05 06.594  -17 22 57.33        03KO20    G37              

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     0.16       0.00     0.05
  2   0.0003     -5.15     0.07      -0.38    -0.35
  3   0.0028    -54.48 (   0.62)      0.67 (   0.00)
  4   0.7977   8806.09    -0.19     102.56     0.08
  5   0.7980   8801.49    -0.18     102.43    -0.01
  6   1.2046   3177.13    -0.05     189.22     0.01
  7   1.2074   3210.42    -0.11     189.79    -0.29
  8   1.7782  13352.40     0.04     229.62     0.11
  9   1.7809  13310.82     0.13     229.69     0.22
 10   1.7836  13268.97     0.13     229.66     0.22
 11  12.9999  56507.72    -0.14    1699.82     0.17
 12  13.0001  56502.90     0.13    1699.43    -0.22

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.

03KO20    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.664    43.682    43.646
ecceobj         0.047     0.047     0.048
incobj          1.793     1.793     1.793
qmin           41.120    41.170    41.074
qmax           47.020    47.036    47.040
amean          43.979    43.998    43.960
amin           43.639    43.656    43.619
amax           44.338    44.358    44.325
emean           0.046     0.046     0.047
emin            0.030     0.030     0.031
emax            0.061     0.061     0.062
imean           3.376     3.372     3.379
imin            2.729     2.729     2.728
imax            4.004     3.995     4.014
excite_mean     0.075     0.074     0.075
fracstop        1.000     1.000     1.000
cjmean          3.094     3.095     3.094

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       182.0     182.0     182.2
kozaiamp        180.0     180.0     179.9