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 Thu Oct 19 01:37:31 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   70 observations of   72
# Arc:  17.45y
# First observation: 1999/03/20
#  Last observation: 2016/08/30
# Chi-squared of fit:   238.26 DOF:  134 RMS:  0.33
# Min/Max residuals:    -1.06    2.11
# Exact a, adot, b, bdot, g, gdot:
  2.631562E-05  1.120729E-01  5.787852E-06  2.216239E-02  6.639984E-02 -1.698581E-02
# Covariance matrix:
  1.1080E-11 -9.3586E-10 -1.1725E-11  3.9180E-10 -9.4273E-12 -2.4664E-10
 -9.3586E-10  1.3830E-07  9.7444E-10 -3.7271E-08  7.8130E-10  3.2867E-08
 -1.1725E-11  9.7444E-10  1.3424E-11 -4.4576E-10  1.0436E-11  2.5747E-10
  3.9180E-10 -3.7271E-08 -4.4576E-10  4.3845E-08 -3.4365E-10 -1.0417E-08
 -9.4273E-12  7.8130E-10  1.0436E-11 -3.4365E-10  8.3933E-12  2.0618E-10
 -2.4664E-10  3.2867E-08  2.5747E-10 -1.0417E-08  2.0618E-10  1.0180E-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:          330.25253 +/-     0.000
Argument of Peri:       98.86852 +/-     0.000
Long of Asc Node:      164.63534 +/-     0.000
Inclination:            16.80156 +/-     0.000
Eccentricity:         0.27856984 +/-    0.0000
Semi-Major Axis:     20.19046914 +/-    0.0000
Time of Perihelion: 2453996.7025 +/-       0.0
Perihelion:          14.56601328 +/-    0.0000
Aphelion:            25.81492499 +/-    0.0000
Period (y)               90.7252 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -13.37023307 +/-    0.0000
Ecliptic Y           -7.88534352 +/-    0.0000
Ecliptic Z            3.36554109 +/-    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   15.88304220 +/-    0.0000
Geocenter to KBO     15.06036591 +/-    0.0000
# Hcoef:  9.22

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      
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      
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      
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  03.57562  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 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  01.31321  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  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  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      
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      

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 (  -0.42)      0.00 (  -3.09)
  2   0.0000      0.00     0.07       0.00    -0.26
  3   0.0000      0.00     0.20       0.00    -0.27
  4   0.0055      0.00    -0.02       0.00    -0.48
  5   0.0055      0.00     0.08       0.00    -0.45
  6   0.0055      0.00    -0.07       0.00    -0.56
  7   4.1831      0.00    -0.16       0.00     1.54
  8   4.1831      0.00    -0.06       0.00     2.11
  9   4.1832      0.00 (  -0.33)      0.00 (   2.37)
 10   5.1881      0.00     0.13       0.00    -0.24
 11   5.1882      0.00    -0.98       0.00    -0.42
 12   5.1883      0.00     0.22       0.00    -1.06
 13   5.2152      0.00     0.61       0.00     0.38
 14   5.2154      0.00     0.59       0.00    -0.04
 15   5.2156      0.00     1.40       0.00     0.36
 16   5.2316      0.00    -0.10       0.00    -0.26
 17   5.2317      0.00     0.06       0.00    -0.15
 18   5.2318      0.00     0.61       0.00    -0.12
 19   6.2175      0.00    -0.10       0.00    -0.17
 20   6.2175      0.00    -0.10       0.00    -0.18
 21   6.2175      0.00    -0.09       0.00    -0.23
 22  13.4344      0.00     0.17       0.00    -0.06
 23  13.4344      0.00     0.07       0.00    -0.01
 24  13.4345      0.00     0.11       0.00     0.05
 25  13.4345      0.00     0.15       0.00    -0.23
 26  14.3055      0.00     0.11       0.00    -0.09
 27  14.3055      0.00     0.09       0.00    -0.03
 28  14.3055      0.00     0.23       0.00    -0.04
 29  14.3056      0.00     0.09       0.00    -0.07
 30  15.2064      0.00    -0.15       0.00    -0.02
 31  15.2064      0.00    -0.14       0.00    -0.05
 32  15.2065      0.00    -0.05       0.00    -0.10
 33  15.2831      0.00     0.09       0.00     0.14
 34  15.2831      0.00    -0.01       0.00     0.09
 35  15.2832      0.00     0.06       0.00     0.09
 36  15.4222      0.00     0.07       0.00     0.05
 37  15.4222      0.00     0.08       0.00     0.11
 38  15.4223      0.00     0.04       0.00     0.08
 39  15.4223      0.00     0.08       0.00     0.12
 40  15.4360      0.00     0.26       0.00     0.08
 41  15.4360      0.00     0.13       0.00     0.03
 42  15.4360      0.00     0.10       0.00    -0.06
 43  15.4361      0.00     0.21       0.00     0.17
 44  15.4905      0.00     0.14       0.00     0.08
 45  15.4906      0.00     0.01       0.00     0.02
 46  15.4906      0.00     0.12       0.00    -0.03
 47  15.4906      0.00     0.10       0.00    -0.00
 48  15.5123      0.00    -0.05       0.00     0.05
 49  15.5124      0.00     0.18       0.00    -0.42
 50  15.5124      0.00     0.21       0.00     0.11
 51  15.5343      0.00     0.10       0.00     0.23
 52  15.5344      0.00     0.17       0.00     0.30
 53  15.5344      0.00     0.11       0.00     0.09
 54  15.5344      0.00     0.13       0.00     0.14
 55  16.2741      0.00     0.07       0.00     0.10
 56  16.2741      0.00    -0.01       0.00     0.17
 57  16.2742      0.00     0.08       0.00     0.08
 58  16.2742      0.00     0.05       0.00     0.22
 59  16.2768      0.00     0.03       0.00     0.09
 60  16.2768      0.00     0.08       0.00     0.03
 61  16.2769      0.00     0.03       0.00     0.02
 62  16.2769      0.00     0.15       0.00     0.13
 63  17.4480      0.00     0.16       0.00     0.16
 64  17.4480      0.00     0.14       0.00     0.05
 65  17.4480      0.00     0.13       0.00    -0.02
 66  17.4480      0.00     0.15       0.00     0.03
 67  17.4480      0.00     0.16       0.00    -0.09
 68  17.4480      0.00     0.16       0.00     0.01
 69  17.4480      0.00     0.17       0.00    -0.02
 70  17.4480      0.00     0.19       0.00    -0.08
 71  17.4480      0.00     0.13       0.00    -0.03
 72  17.4480      0.00     0.13       0.00    -0.00

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        20.175    20.174    20.175
ecceobj         0.278     0.278     0.278
incobj         16.797    16.797    16.797
qmin           13.907    13.758    13.840
qmax           27.423    27.006    27.119
amean          20.473    20.357    20.440
amin           20.174    20.129    20.002
amax           20.956    20.592    20.640
emean           0.307     0.307     0.303
emin            0.278     0.278     0.256
emax            0.321     0.320     0.320
imean          15.206    15.386    15.502
imin           14.810    14.870    14.884
imax           15.990    15.990    17.763
excite_mean     0.404     0.406     0.404
fracstop        0.011     0.011     0.012
cjmean          2.986     2.989     2.986

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       175.3     175.7     185.1
kozaiamp         81.9      79.6      83.1