Orbit Fit and Astrometric record for 04LR31

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: 04LR31    
# Created Sat Nov 17 02:08:28 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting  155 observations of  156
# Arc:  18.51y
# First observation: 1999/03/20
#  Last observation: 2017/09/21
# Chi-squared of fit:   270.97 DOF:  304 RMS:  0.23
# Min/Max residuals:    -1.10    2.19
# Exact a, adot, b, bdot, g, gdot:
  2.634730E-05  1.120730E-01  5.701054E-06  2.216236E-02  6.639989E-02 -1.698569E-02
# Covariance matrix:
  4.8243E-13  1.3512E-12  2.5665E-14 -1.3453E-12 -9.2982E-13  7.0795E-12
  1.3512E-12  1.4326E-09 -2.9639E-12 -1.0767E-09  1.9624E-09  5.6988E-09
  2.5665E-14 -2.9639E-12  2.3905E-13  2.1628E-12 -4.4172E-12 -1.1715E-11
 -1.3453E-12 -1.0767E-09  2.1628E-12  8.2687E-10 -1.4832E-09 -4.3181E-09
 -9.2982E-13  1.9624E-09 -4.4172E-12 -1.4832E-09  2.7417E-09  7.8504E-09
  7.0795E-12  5.6988E-09 -1.1715E-11 -4.3181E-09  7.8504E-09  2.2854E-08
#      lat0       lon0       xBary       yBary       zBary        JD0
   12.912549 -147.457825    0.549281    0.187565   -0.819268  2451257.896933
# Heliocentric elements and errors
Epoch:              2451258.5000  =  1999/03/21
Mean Anomaly:          330.25239 +/-     0.003
Argument of Peri:       98.86857 +/-     0.001
Long of Asc Node:      164.63530 +/-     0.000
Inclination:            16.80155 +/-     0.000
Eccentricity:         0.27856792 +/-    0.0000
Semi-Major Axis:     20.19041107 +/-    0.0000
Time of Perihelion: 2453996.7037 +/-       0.3
Perihelion:          14.56601028 +/-    0.0000
Aphelion:            25.81481187 +/-    0.0000
Period (y)               90.7248 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -13.37022464 +/-    0.0000
Ecliptic Y           -7.88533871 +/-    0.0000
Ecliptic Z            3.36553753 +/-    0.0000
Ecliptic XDOT         0.00323125 +/-    0.0000
Ecliptic YDOT        -0.00340962 +/-    0.0000
Ecliptic ZDOT         0.00073421 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   15.88303197 +/-    0.0000
Geocenter to KBO     15.06035567 +/-    0.0000
# Hcoef:  9.14

The following table shows the complete astrometric record for 04LR31. 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 (04LR31) followed by the observatory code and reference code for the source of the astrometry.

1999 03  20.396190 14 18 59.12   -00 12 09.7         04LR31    645  C~1vVK      
1999 03  20.397019 14 18 59.11   -00 12 09.7         04LR31    645  C~1vVK      
1999 03  20.399506 14 18 59.10   -00 12 09.5         04LR31    645  C~1vVK      
1999 03  22.390463 14 18 44.03   -00 09 21.7   21.4V 04LR31    645  C~1vVK      
1999 03  22.391292 14 18 44.03   -00 09 21.6   21.0V 04LR31    645  C~1vVK      
1999 03  22.393780 14 18 44.00   -00 09 21.5   22.2V 04LR31    645  C~1vVK      
2003 05  26.26147  16 00 00.46   -02 51 43.2   21.0V 04LR31    691  C~1vVK      
2003 05  26.28749  16 00 00.16   -02 51 41.7   21.4V 04LR31    691  C~1vVK      
2003 05  26.31645  15 59 59.80   -02 51 40.4   21.2V 04LR31    691  C~1vVK      
2004 05  27.35676  16 29 56.66   -03 47 00.2   21.2V 04LR31    291  Cv4433      
2004 05  27.38066  16 29 56.30   -03 46 59.6   20.9V 04LR31    291  Cv4433      
2004 05  27.40656  16 29 56.07   -03 46 59.4   20.8V 04LR31    291  Cv4433      
2004 06  06.23998  16 28 00.78   -03 42 43.3   20.7R 04LR31    644  Cv4433      
2004 06  06.30403  16 28 00.02   -03 42 42.5   20.8R 04LR31    644  Cv4433      
2004 06  06.37702  16 27 59.21   -03 42 40.7   21.1R 04LR31    644  Cv4433      
2004 06  12.23639  16 26 51.88   -03 41 14.0   20.9V 04LR31    691  Cv4433      
2004 06  12.26417  16 26 51.57   -03 41 13.6   20.8V 04LR31    691  Cv4433      
2004 06  12.32634  16 26 50.89   -03 41 12.9   20.9V 04LR31    691  Cv4433      
2005 06  07.338876 16 58 42.38   -04 34 58.0         04LR31    645  C~1vVK      
2005 06  07.339705 16 58 42.37   -04 34 58.0         04LR31    645  C~1vVK      
2005 06  07.342193 16 58 42.34   -04 34 58.0         04LR31    645  C~1vVK      
2010 05  09.56254  19 35 48.554  -07 21 30.62  20.5G 04LR31    F51  C~2kI2      
2010 05  09.56356  19 35 48.545  -07 21 30.37  20.6G 04LR31    F51  C~2kI2      
2010 05  09.57359  19 35 48.527  -07 21 30.28  20.7G 04LR31    F51  C~2kI2      
2010 05  09.57461  19 35 48.509  -07 21 30.09  20.6G 04LR31    F51  C~2kI2      
2010 07  19.38219  19 25 37.583  -07 26 33.62  20.5G 04LR31    F51  C~2kI2      
2010 07  19.39381  19 25 37.442  -07 26 34.24  20.6G 04LR31    F51  C~2kI2      
2010 07  30.40667  19 23 33.643  -07 35 36.40  20.8G 04LR31    F51  C~2kI2      
2010 07  30.41881  19 23 33.508  -07 35 37.05  20.8G 04LR31    F51  C~2kI2      
2010 08  04.41424  19 22 40.605  -07 40 15.16  21.2G 04LR31    F51  C~2kI2      
2010 08  04.42529  19 22 40.496  -07 40 15.96  21.0G 04LR31    F51  C~2kI2      
2010 08  05.33506  19 22 31.170  -07 41 08.62  20.8G 04LR31    F51  C~2kI2      
2010 09  28.21765  19 17 56.082  -08 40 21.78  20.3G 04LR31    F51  C~2kI2      
2011 06  30.52092  19 58 44.783  -07 22 43.80  20.9G 04LR31    F51  C~2kI2      
2011 08  17.29255  19 50 03.922  -08 01 48.96  20.8G 04LR31    F51  C~2kI2      
2011 08  17.30382  19 50 03.808  -08 01 49.69  20.3G 04LR31    F51  C~2kI2      
2011 09  12.27134  19 46 58.296  -08 31 22.92  20.7G 04LR31    F51  C~2kI2      
2011 09  12.28217  19 46 58.244  -08 31 23.72  20.7G 04LR31    F51  C~2kI2      
2011 09  14.32058  19 46 49.570  -08 33 42.30  20.7G 04LR31    F51  C~2kI2      
2011 09  14.33137  19 46 49.529  -08 33 43.23  20.5G 04LR31    F51  C~2kI2      
2011 09  17.25946  19 46 38.813  -08 37 00.78  20.4G 04LR31    F51  C~2kI2      
2012 05  06.61736  20 31 08.507  -07 26 44.59  20.9G 04LR31    F51  C~2kI2      
2012 08  06.35480  20 20 24.639  -07 51 28.70  19.8G 04LR31    F51  C~2kI2      
2012 08  06.36541  20 20 24.521  -07 51 29.09  20.4G 04LR31    F51  C~2kI2      
2012 08  11.36945  20 19 30.877  -07 56 48.74  20.8G 04LR31    F51  C~2kI2      
2012 08  11.37963  20 19 30.776  -07 56 49.28  21.6G 04LR31    F51  C~2kI2      
2012 08  16.38283  20 18 39.158  -08 02 20.83  20.7G 04LR31    F51  C~2kI2      
2012 08  16.39266  20 18 39.061  -08 02 21.61  21.0G 04LR31    F51  C~2kI2      
2012 08  25.31525  20 17 13.996  -08 12 33.48  20.5i 04LR31    F51  C~1vVK      
2012 08  25.32598  20 17 13.891  -08 12 34.18  20.5i 04LR31    F51  C~1vVK      
2012 08  25.33743  20 17 13.789  -08 12 34.92  20.7r 04LR31    F51  C~1vVK      
2012 08  25.34633  20 17 13.710  -08 12 35.82  20.7r 04LR31    F51  C~1vVK      
2012 09  06.30685  20 15 38.349  -08 26 32.41  22.0G 04LR31    F51  C~2kI2      
2012 10  12.20672  20 13 52.828  -09 04 18.50  21.1G 04LR31    F51  C~2kI2      
2012 11  05.21809  20 15 40.546  -09 20 53.26  21.1G 04LR31    F51  C~2kI2      
2012 11  05.22272  20 15 40.583  -09 20 53.38  21.0G 04LR31    F51  C~2kI2      
2013 05  16.59529  20 57 23.580  -07 13 41.42  21.1G 04LR31    F51  C~2kI2      
2013 05  23.59859  20 57 23.828  -07 11 07.10  21.2G 04LR31    F51  C~2kI2      
2013 07  09.46809  20 52 58.233  -07 19 52.59  20.8w 04LR31    F51  C~1vVK      
2013 07  09.48314  20 52 58.084  -07 19 53.13  20.8w 04LR31    F51  C~1vVK      
2013 07  09.49824  20 52 57.945  -07 19 53.74  21.0w 04LR31    F51  C~1vVK      
2013 07  09.51336  20 52 57.787  -07 19 54.36  20.9w 04LR31    F51  C~1vVK      
2013 08  02.46589  20 48 46.772  -07 40 23.26  21.5G 04LR31    F51  C~2kI2      
2013 08  15.38860  20 46 27.351  -07 54 24.73  20.9G 04LR31    F51  C~2kI2      
2013 08  15.40002  20 46 27.228  -07 54 25.52  20.7G 04LR31    F51  C~2kI2      
2013 08  16.40097  20 46 16.754  -07 55 34.02  20.8G 04LR31    F51  C~2kI2      
2013 08  16.41211  20 46 16.633  -07 55 34.89  20.5G 04LR31    F51  C~2kI2      
2013 10  23.23453  20 40 33.993  -09 07 00.72  21.2G 04LR31    F51  C~2kI2      
2014 06  03.53789  21 22 25.361  -06 55 36.56  21.2w 04LR31    F51  C~1vVK      
2014 06  03.55048  21 22 25.337  -06 55 36.53  21.2w 04LR31    F51  C~1vVK      
2014 06  03.56309  21 22 25.319  -06 55 36.61  21.3G 04LR31    F51  C~2kI2      
2014 06  03.57562  21 22 25.293  -06 55 36.46  21.1w 04LR31    F51  C~1vVK      
2014 07  01.55450  21 20 13.991  -07 01 39.27  21.1w 04LR31    F51  C~1vVK      
2014 07  01.56661  21 20 13.893  -07 01 39.69  21.1w 04LR31    F51  C~1vVK      
2014 07  01.57873  21 20 13.806  -07 01 40.06  21.1w 04LR31    F51  C~1vVK      
2014 07  01.59083  21 20 13.713  -07 01 40.58  21.1G 04LR31    F51  C~2kI2      
2014 08  21.34797  21 11 57.927  -07 48 14.75  20.8w 04LR31    F51  C~1vVK      
2014 08  21.36084  21 11 57.792  -07 48 15.61  20.9w 04LR31    F51  C~1vVK      
2014 08  21.37372  21 11 57.654  -07 48 16.57  20.9w 04LR31    F51  C~1vVK      
2014 08  21.38661  21 11 57.521  -07 48 17.45  20.8w 04LR31    F51  C~1vVK      
2014 08  26.37982  21 11 06.958  -07 54 16.58  21.0w 04LR31    F51  C~1vVK      
2014 08  26.39174  21 11 06.828  -07 54 17.49  21.0w 04LR31    F51  C~1vVK      
2014 08  26.40365  21 11 06.705  -07 54 18.45  20.9w 04LR31    F51  C~1vVK      
2014 08  26.41554  21 11 06.591  -07 54 19.07  21.0w 04LR31    F51  C~1vVK      
2014 09  15.31302  21 08 11.202  -08 18 11.48  21.0w 04LR31    F51  C~1vVK      
2014 09  15.32450  21 08 11.105  -08 18 12.35  21.1w 04LR31    F51  C~1vVK      
2014 09  15.33596  21 08 11.025  -08 18 13.20  21.0w 04LR31    F51  C~1vVK      
2014 09  15.34740  21 08 10.936  -08 18 13.97  21.1w 04LR31    F51  C~1vVK      
2014 09  23.27632  21 07 17.518  -08 27 15.97  21.2w 04LR31    F51  C~1vVK      
2014 09  23.30012  21 07 17.385  -08 27 18.02  21.3w 04LR31    F51  C~1vVK      
2014 09  23.31199  21 07 17.313  -08 27 18.28  20.9w 04LR31    F51  C~1vVK      
2014 10  01.23774  21 06 35.993  -08 35 46.07  20.6G 04LR31    F51  C~2kI2      
2014 10  01.25060  21 06 35.927  -08 35 47.24  21.4G 04LR31    F51  C~2kI2      
2014 10  01.26350  21 06 35.875  -08 35 48.04  21.2G 04LR31    F51  C~2kI2      
2014 10  01.31321  21 06 35.643  -08 35 50.73  20.7i 04LR31    F51  C~1vVK      
2014 10  01.32515  21 06 35.593  -08 35 51.40  20.8i 04LR31    F51  C~1vVK      
2014 10  01.33706  21 06 35.534  -08 35 52.34  20.9i 04LR31    F51  C~1vVK      
2014 10  01.34897  21 06 35.481  -08 35 53.02  20.7i 04LR31    F51  C~1vVK      
2015 06  27.61308  21 45 24.465  -06 41 21.83  21.2G 04LR31    F51  C~2kI2      
2015 06  28.50984  21 45 19.637  -06 41 44.56  20.8i 04LR31    F51  C~1vVK      
2015 06  28.52216  21 45 19.562  -06 41 44.81  21.0i 04LR31    F51  C~1vVK      
2015 06  28.53453  21 45 19.497  -06 41 45.23  20.9i 04LR31    F51  C~1vVK      
2015 06  28.54693  21 45 19.424  -06 41 45.41  20.8i 04LR31    F51  C~1vVK      
2015 06  28.60980  21 45 19.069  -06 41 47.33  20.6G 04LR31    F51  C~2kI2      
2015 06  29.49371  21 45 14.142  -06 42 10.87  20.7i 04LR31    F51  C~1vVK      
2015 06  29.50598  21 45 14.073  -06 42 11.27  20.9i 04LR31    F51  C~1vVK      
2015 06  29.51831  21 45 13.997  -06 42 11.62  20.7i 04LR31    F51  C~1vVK      
2015 06  29.53060  21 45 13.933  -06 42 11.85  20.7i 04LR31    F51  C~1vVK      
2015 07  26.62889  21 41 42.876  -07 01 35.89  20.7G 04LR31    F51  C~2kI2      
2015 10  09.29012  21 30 54.447  -08 26 08.50  21.1G 04LR31    F51  C~2kI2      
2015 10  09.30179  21 30 54.417  -08 26 08.75  20.2G 04LR31    F51  C~2kI2      
2015 10  09.31546  21 30 54.339  -08 26 09.86  20.9G 04LR31    F51  C~2kI2      
2015 10  09.32713  21 30 54.289  -08 26 10.44  21.4G 04LR31    F51  C~2kI2      
2015 10  10.28954  21 30 50.539  -08 27 04.42  21.2G 04LR31    F51  C~2kI2      
2015 10  10.31144  21 30 50.444  -08 27 05.65  21.3G 04LR31    F51  C~2kI2      
2015 10  10.32241  21 30 50.405  -08 27 06.17  21.3G 04LR31    F51  C~2kI2      
2015 10  19.27924  21 30 25.177  -08 34 46.38  21.0G 04LR31    F51  C~2kI2      
2015 10  19.29183  21 30 25.153  -08 34 47.01  21.4G 04LR31    F51  C~2kI2      
2015 10  19.30436  21 30 25.126  -08 34 47.92  21.5G 04LR31    F51  C~2kI2      
2015 10  19.31713  21 30 25.067  -08 34 48.13  21.4G 04LR31    F51  C~2kI2      
2015 11  07.20014  21 30 32.340  -08 46 20.74  21.1G 04LR31    F51  C~2kI2      
2016 08  03.45356  22 04 23.610  -06 47 35.20  21.3G 04LR31    F51  C~2kI2      
2016 08  03.46534  22 04 23.501  -06 47 35.95  21.2G 04LR31    F51  C~2kI2      
2016 08  03.47709  22 04 23.383  -06 47 36.74  21.3G 04LR31    F51  C~2kI2      
2016 08  03.48883  22 04 23.269  -06 47 37.46  21.3G 04LR31    F51  C~2kI2      
2016 08  30.26651  21 59 56.528  -07 19 05.21  21.1R 04LR31    309  C~1yGj      
2016 08  30.26772  21 59 56.515  -07 19 05.41  21.1R 04LR31    309  C~1yGj      
2016 08  30.26893  21 59 56.502  -07 19 05.57  21.0R 04LR31    309  C~1yGj      
2016 08  30.27015  21 59 56.491  -07 19 05.61  20.9R 04LR31    309  C~1yGj      
2016 08  30.27136  21 59 56.479  -07 19 05.82  21.1R 04LR31    309  C~1yGj      
2016 08  30.27258  21 59 56.467  -07 19 05.81  21.1R 04LR31    309  C~1yGj      
2016 08  30.27379  21 59 56.455  -07 19 05.93  21.1R 04LR31    309  C~1yGj      
2016 08  30.27501  21 59 56.444  -07 19 06.08  20.9R 04LR31    309  C~1yGj      
2016 08  30.27622  21 59 56.428  -07 19 06.12  21.0R 04LR31    309  C~1yGj      
2016 08  30.27744  21 59 56.416  -07 19 06.19  21.1R 04LR31    309  C~1yGj      
2016 09  26.34997  21 55 57.130  -07 51 40.28  21.7G 04LR31    F51  C~2kI2      
2016 09  26.36115  21 55 57.040  -07 51 41.23  21.4G 04LR31    F51  C~2kI2      
2016 10  15.29714  21 54 10.972  -08 10 30.17  21.6G 04LR31    F51  C~2kI2      
2016 11  03.22095  21 53 37.454  -08 23 30.17        04LR31    F51  C~2kI2      
2016 11  03.23388  21 53 37.461  -08 23 30.55        04LR31    F51  C~2kI2      
2016 11  15.23139  21 53 58.171  -08 28 04.96  20.5G 04LR31    F51  C~2kI2      
2017 07  25.51715  22 28 32.184  -06 12 32.44  21.3G 04LR31    F51  C~2kI2      
2017 07  25.52772  22 28 32.101  -06 12 33.07  21.4G 04LR31    F51  C~2kI2      
2017 07  25.53829  22 28 32.018  -06 12 33.60  21.4G 04LR31    F51  C~2kI2      
2017 07  25.54887  22 28 31.935  -06 12 34.13  21.5G 04LR31    F51  C~2kI2      
2017 08  03.47740  22 27 18.806  -06 21 21.04  21.4G 04LR31    F51  C~2kI2      
2017 08  03.48948  22 27 18.695  -06 21 21.78  21.4G 04LR31    F51  C~2kI2      
2017 08  03.51368  22 27 18.476  -06 21 23.26  21.4G 04LR31    F51  C~2kI2      
2017 09  12.31378  22 20 57.506  -07 08 57.62  21.3G 04LR31    F51  C~2kI2      
2017 09  12.32540  22 20 57.396  -07 08 58.45  21.3G 04LR31    F51  C~2kI2      
2017 09  12.33702  22 20 57.275  -07 08 59.22  20.9G 04LR31    F51  C~2kI2      
2017 09  21.36778  22 19 36.445  -07 19 54.01  21.3G 04LR31    F51  C~2kI2      
2017 09  21.37877  22 19 36.346  -07 19 54.83  21.4G 04LR31    F51  C~2kI2      
2017 09  21.38975  22 19 36.249  -07 19 55.52  21.4G 04LR31    F51  C~2kI2      
2017 09  21.40075  22 19 36.151  -07 19 56.24  21.2G 04LR31    F51  C~2kI2      
2017 10  18.26148  22 16 38.065  -07 47 29.21        04LR31    F51  C~2kI2      

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     0.04       0.00    -0.11
  2   0.0000      0.00    -0.02       0.00    -0.18
  3   0.0000      0.00     0.12       0.00    -0.19
  4   0.0055      0.00    -0.11       0.00    -0.39
  5   0.0055      0.00    -0.01       0.00    -0.37
  6   0.0055      0.00    -0.16       0.00    -0.48
  7   4.1831      0.00    -0.29       0.00     1.62
  8   4.1831      0.00    -0.18       0.00     2.19
  9   4.1832      0.00 (  -0.46)      0.00 (   2.45)
 10   5.1881      0.00     0.01       0.00    -0.16
 11   5.1882      0.00    -1.10       0.00    -0.33
 12   5.1883      0.00     0.10       0.00    -0.98
 13   5.2152      0.00     0.50       0.00     0.46
 14   5.2154      0.00     0.47       0.00     0.03
 15   5.2156      0.00     1.29       0.00     0.43
 16   5.2316      0.00    -0.21       0.00    -0.19
 17   5.2317      0.00    -0.05       0.00    -0.09
 18   5.2318      0.00     0.49       0.00    -0.05
 19   6.2175      0.00    -0.21       0.00    -0.09
 20   6.2175      0.00    -0.21       0.00    -0.11
 21   6.2175      0.00    -0.20       0.00    -0.15
 22  11.1380      0.00     0.11       0.00    -0.11
 23  11.1380      0.00     0.01       0.00     0.10
 24  11.1381      0.00     0.12       0.00    -0.17
 25  11.1381      0.00    -0.12       0.00    -0.01
 26  11.3319      0.00    -0.02       0.00    -0.06
 27  11.3320      0.00    -0.08       0.00    -0.16
 28  11.3621      0.00    -0.08       0.00    -0.10
 29  11.3621      0.00    -0.08       0.00    -0.10
 30  11.3758      0.00    -0.11       0.00     0.02
 31  11.3758      0.00     0.00       0.00    -0.15
 32  11.3783      0.00    -0.10       0.00    -0.22
 33  11.5259      0.00     0.11       0.00    -0.05
 34  12.2796      0.00    -0.05       0.00    -0.16
 35  12.4104      0.00    -0.01       0.00    -0.11
 36  12.4104      0.00    -0.09       0.00    -0.10
 37  12.4815      0.00    -0.01       0.00    -0.13
 38  12.4815      0.00    -0.02       0.00    -0.19
 39  12.4871      0.00    -0.08       0.00    -0.04
 40  12.4872      0.00    -0.01       0.00    -0.24
 41  12.4952      0.00    -0.00       0.00    -0.19
 42  13.1313      0.00    -0.03       0.00     0.24
 43  13.3825      0.00    -0.01       0.00    -0.16
 44  13.3825      0.00    -0.01       0.00     0.11
 45  13.3962      0.00    -0.10       0.00    -0.09
 46  13.3963      0.00     0.03       0.00     0.03
 47  13.4100      0.00    -0.04       0.00    -0.01
 48  13.4100      0.00     0.03       0.00    -0.13
 49  13.4344      0.00     0.12       0.00    -0.03
 50  13.4344      0.00     0.02       0.00     0.01
 51  13.4345      0.00     0.07       0.00     0.07
 52  13.4345      0.00     0.11       0.00    -0.21
 53  13.4672      0.00    -0.39       0.00    -0.22
 54  13.5655      0.00     0.12       0.00     0.00
 55  13.6313      0.00    -0.06       0.00    -0.09
 56  13.6313      0.00    -0.01       0.00    -0.08
 57  14.1580      0.00     0.19       0.00    -0.14
 58  14.1771      0.00    -0.02       0.00     0.00
 59  14.3055      0.00     0.04       0.00    -0.05
 60  14.3055      0.00     0.02       0.00     0.01
 61  14.3055      0.00     0.16       0.00    -0.00
 62  14.3056      0.00     0.02       0.00    -0.02
 63  14.3712      0.00     0.01       0.00    -0.11
 64  14.4066      0.00    -0.01       0.00    -0.05
 65  14.4066      0.00    -0.02       0.00    -0.07
 66  14.4093      0.00    -0.02       0.00    -0.06
 67  14.4094      0.00    -0.05       0.00    -0.16
 68  14.5950      0.00    -0.02       0.00    -0.03
 69  15.2064      0.00    -0.15       0.00     0.05
 70  15.2064      0.00    -0.14       0.00     0.02
 71  15.2065      0.00    -0.03       0.00    -0.12
 72  15.2065      0.00    -0.05       0.00    -0.03
 73  15.2831      0.00     0.03       0.00     0.19
 74  15.2831      0.00    -0.07       0.00     0.14
 75  15.2832      0.00    -0.00       0.00     0.14
 76  15.2832      0.00    -0.02       0.00    -0.01
 77  15.4222      0.00    -0.02       0.00     0.07
 78  15.4222      0.00    -0.01       0.00     0.13
 79  15.4223      0.00    -0.05       0.00     0.09
 80  15.4223      0.00    -0.01       0.00     0.13
 81  15.4360      0.00     0.18       0.00     0.10
 82  15.4360      0.00     0.05       0.00     0.05
 83  15.4360      0.00     0.02       0.00    -0.05
 84  15.4361      0.00     0.12       0.00     0.19
 85  15.4905      0.00     0.09       0.00     0.10
 86  15.4906      0.00    -0.05       0.00     0.03
 87  15.4906      0.00     0.07       0.00    -0.01
 88  15.4906      0.00     0.05       0.00     0.02
 89  15.5123      0.00    -0.08       0.00     0.07
 90  15.5124      0.00     0.15       0.00    -0.40
 91  15.5124      0.00     0.18       0.00     0.13
 92  15.5341      0.00     0.11       0.00     0.27
 93  15.5342      0.00     0.01       0.00    -0.10
 94  15.5342      0.00     0.12       0.00    -0.11
 95  15.5343      0.00     0.08       0.00     0.26
 96  15.5344      0.00     0.15       0.00     0.32
 97  15.5344      0.00     0.09       0.00     0.11
 98  15.5344      0.00     0.11       0.00     0.16
 99  16.2716      0.00    -0.06       0.00    -0.05
100  16.2741      0.00     0.00       0.00     0.14
101  16.2741      0.00    -0.07       0.00     0.21
102  16.2742      0.00     0.02       0.00     0.12
103  16.2742      0.00    -0.02       0.00     0.26
104  16.2744      0.00     0.06       0.00    -0.01
105  16.2768      0.00    -0.03       0.00     0.13
106  16.2768      0.00     0.01       0.00     0.07
107  16.2769      0.00    -0.04       0.00     0.06
108  16.2769      0.00     0.09       0.00     0.17
109  16.3511      0.00    -0.03       0.00     0.04
110  16.5555      0.00     0.06       0.00    -0.11
111  16.5555      0.00     0.35       0.00     0.30
112  16.5556      0.00     0.05       0.00    -0.04
113  16.5556      0.00     0.03       0.00     0.04
114  16.5582      0.00     0.00       0.00    -0.04
115  16.5583      0.00    -0.10       0.00    -0.05
116  16.5583      0.00    -0.03       0.00     0.04
117  16.5828      0.00    -0.09       0.00     0.11
118  16.5829      0.00    -0.06       0.00     0.07
119  16.5829      0.00    -0.09       0.00    -0.25
120  16.5829      0.00    -0.59       0.00     0.13
121  16.6346      0.00     0.25       0.00    -0.13
122  17.3746      0.00    -0.00       0.00     0.01
123  17.3746      0.00     0.07       0.00     0.01
124  17.3746      0.00     0.00       0.00    -0.03
125  17.3747      0.00    -0.00       0.00    -0.00
126  17.4480      0.00     0.02       0.00     0.16
127  17.4480      0.00     0.01       0.00     0.05
128  17.4480      0.00    -0.00       0.00    -0.02
129  17.4480      0.00     0.02       0.00     0.03
130  17.4480      0.00     0.02       0.00    -0.09
131  17.4480      0.00     0.03       0.00     0.01
132  17.4480      0.00     0.03       0.00    -0.02
133  17.4480      0.00     0.05       0.00    -0.08
134  17.4480      0.00    -0.01       0.00    -0.03
135  17.4480      0.00     0.00       0.00    -0.00
136  17.5221      0.00     0.03       0.00     0.13
137  17.5221      0.00    -0.07       0.00    -0.08
138  17.5740      0.00    -0.02       0.00    -0.03
139  17.6258      0.00     0.01       0.00    -0.26
140  17.6258      0.00     0.09       0.00    -0.25
141  17.6587      0.00     0.12       0.00    -0.12
142  18.3494      0.00    -0.00       0.00    -0.01
143  18.3494      0.00    -0.00       0.00    -0.06
144  18.3495      0.00    -0.00       0.00    -0.00
145  18.3495      0.00     0.00       0.00     0.05
146  18.3739      0.00     0.04       0.00    -0.06
147  18.3740      0.00    -0.01       0.00    -0.04
148  18.3740      0.00    -0.07       0.00     0.00
149  18.4830      0.00    -0.01       0.00     0.00
150  18.4830      0.00     0.00       0.00     0.03
151  18.4831      0.00    -0.15       0.00     0.12
152  18.5078      0.00    -0.00       0.00    -0.01
153  18.5078      0.00    -0.05       0.00    -0.05
154  18.5079      0.00    -0.07       0.00     0.03
155  18.5079      0.00    -0.10       0.00     0.09
156  18.5814      0.00     0.15       0.00    -0.07

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.

04LR31    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        20.174    20.174    20.175
ecceobj         0.278     0.278     0.278
incobj         16.797    16.797    16.797
qmin           13.798    13.928    13.899
qmax           26.963    27.226    27.127
amean          20.251    20.094    20.442
amin           19.611    19.481    20.174
amax           20.603    20.652    20.688
emean           0.305     0.290     0.306
emin            0.278     0.244     0.278
emax            0.320     0.318     0.319
imean          15.325    15.385    15.297
imin           14.783    14.762    14.871
imax           16.551    16.964    16.206
excite_mean     0.404     0.393     0.404
fracstop        0.014     0.025     0.011
cjmean          2.993     3.005     2.987

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       193.0     174.5     178.1
kozaiamp         88.9     178.1      80.7