Orbit Fit and Astrometric record for 13GJ138

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: 13GJ138   
# Created Mon Apr 22 01:09:26 2019
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   72 observations of   72
# Arc:  13.03y
# First observation: 2005/04/02
#  Last observation: 2018/04/12
# Chi-squared of fit:    82.85 DOF:  138 RMS:  0.19
# Min/Max residuals:    -0.54    0.64
# Exact a, adot, b, bdot, g, gdot:
  2.403921E-05  5.823975E-02 -9.695720E-06 -2.523628E-02  3.910839E-02 -7.362063E-03
# Covariance matrix:
  4.0989E-13 -7.3503E-14 -7.9141E-14  2.1927E-14 -1.9330E-14 -4.5143E-14
 -7.3503E-14  1.6708E-14  2.2348E-14 -6.2067E-15  1.8870E-15  1.2801E-14
 -7.9141E-14  2.2348E-14  2.6293E-13 -3.2728E-14  2.0725E-15  2.0118E-14
  2.1927E-14 -6.2067E-15 -3.2728E-14  5.1852E-15 -3.2479E-16 -5.5934E-15
 -1.9330E-14  1.8870E-15  2.0725E-15 -3.2479E-16  5.9388E-14  3.0758E-16
 -4.5143E-14  1.2801E-14  2.0118E-14 -5.5934E-15  3.0758E-16  1.1544E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   15.783797  165.267803   -0.457322    0.240561   -0.850753  2453462.808154
# Heliocentric elements and errors
Epoch:              2453462.5000  =  2005/04/02
Mean Anomaly:          359.12667 +/-     0.000
Argument of Peri:      158.26210 +/-     0.000
Long of Asc Node:       17.27654 +/-     0.000
Inclination:            27.92200 +/-     0.000
Eccentricity:         0.79435386 +/-    0.0000
Semi-Major Axis:    127.18183583 +/-    0.0212
Time of Perihelion: 2454733.4022 +/-     130.8
Perihelion:          26.15445337 +/-    0.0061
Aphelion:           228.20921828 +/-    0.0383
Period (y)             1434.3193 +/-      0.36
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -24.77280234 +/-    0.0001
Ecliptic Y            6.03891141 +/-    0.0000
Ecliptic Z            6.95502968 +/-    0.0000
Ecliptic XDOT        -0.00102163 +/-    0.0000
Ecliptic YDOT        -0.00395417 +/-    0.0000
Ecliptic ZDOT        -0.00184023 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   26.42983098 +/-    0.0001
Geocenter to KBO     25.57008207 +/-    0.0002
# Hcoef:  8.10

The following table shows the complete astrometric record for 13GJ138. 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 (13GJ138) followed by the observatory code and reference code for the source of the astrometry.

2005 04  02.307411 11 31 30.16   +20 17 53.0   22.6V 13GJ138   645  C~2e9a      
2005 04  02.308240 11 31 30.17   +20 17 53.2   22.6V 13GJ138   645  C~2e9a      
2005 04  02.310728 11 31 30.15   +20 17 53.0   23.4V 13GJ138   645  C~2e9a      
2010 06  30.29238  12 16 20.133  +05 59 01.16  22.5G 13GJ138   F51  C~2r7O      
2011 01  29.61727  12 36 43.449  +02 54 36.96  21.6G 13GJ138   F51  C~2r7O      
2011 03  13.43129  12 33 09.691  +03 11 35.40  22.0G 13GJ138   F51  C~2r7O      
2011 03  13.44382  12 33 09.605  +03 11 35.78  22.4G 13GJ138   F51  C~2r7O      
2012 02  28.52838  12 43 47.740  +00 14 54.20  22.5G 13GJ138   F51  C~2r7O      
2012 02  28.54278  12 43 47.653  +00 14 54.51  22.3G 13GJ138   F51  C~2r7O      
2012 02  28.55722  12 43 47.575  +00 14 54.87  22.4G 13GJ138   F51  C~2r7O      
2012 04  12.34188  12 38 54.684  +00 34 14.41  22.3G 13GJ138   F51  C~2r7O      
2012 04  12.35582  12 38 54.585  +00 34 14.75  22.5G 13GJ138   F51  C~2r7O      
2012 04  12.36976  12 38 54.484  +00 34 15.01  22.5G 13GJ138   F51  C~2r7O      
2012 04  12.38378  12 38 54.391  +00 34 15.44  22.3G 13GJ138   F51  C~2r7O      
2013 04  05.41736  12 48 56.703  -02 17 51.90  22.5g 13GJ138   F51  C~1w3t      
2013 04  05.44100  12 48 56.482  -02 17 50.95  22.9G 13GJ138   F51  C~2r7O      
2013 04  10.37742  12 48 22.065  -02 15 44.99  22.4g 13GJ138   F51  C~1w3t      
2013 04  10.38835  12 48 21.958  -02 15 44.73  21.9G 13GJ138   F51  C~2r7O      
2013 04  11.37185  12 48 15.165  -02 15 20.43  22.1w 13GJ138   F51  C~1w3u      
2013 04  11.38552  12 48 15.078  -02 15 20.12  22.5w 13GJ138   F51  C~1w3u      
2013 04  11.39922  12 48 14.985  -02 15 19.57  22.2w 13GJ138   F51  C~1w3u      
2013 04  11.41298  12 48 14.864  -02 15 19.17  22.2w 13GJ138   F51  C~1w3u      
2013 04  17.31494  12 47 34.535  -02 12 58.29  21.0i 13GJ138   F51  C~1w3u      
2013 05  02.33722  12 45 59.158  -02 08 00.88  21.1r 13GJ138   F51  C~1w3u      
2014 02  26.51804  13 02 04.735  -05 18 40.79  22.9w 13GJ138   F51  C~1w3u      
2014 02  26.53041  13 02 04.690  -05 18 40.53  22.3w 13GJ138   F51  C~1w3u      
2014 02  26.54278  13 02 04.628  -05 18 40.13  22.5w 13GJ138   F51  C~1w3u      
2014 02  26.55515  13 02 04.570  -05 18 40.06  22.4w 13GJ138   F51  C~1w3u      
2014 02  28.49924  13 01 54.557  -05 18 08.60  22.2w 13GJ138   F51  C~1w3u      
2014 02  28.51051  13 01 54.497  -05 18 08.38  22.1w 13GJ138   F51  C~1w3u      
2014 02  28.52174  13 01 54.429  -05 18 08.20  22.8w 13GJ138   F51  C~1w3u      
2014 02  28.53302  13 01 54.383  -05 18 08.03  22.5w 13GJ138   F51  C~1w3u      
2014 03  06.46259  13 01 21.700  -05 16 20.08  22.2w 13GJ138   F51  C~1w3u      
2014 04  04.40453  12 58 11.926  -05 04 49.86  21.9w 13GJ138   F51  C~1w3u      
2014 04  04.41588  12 58 11.811  -05 04 49.96  21.3w 13GJ138   F51  C~1w3u      
2014 04  04.43861  12 58 11.699  -05 04 49.49  21.8w 13GJ138   F51  C~1w3u      
2014 04  23.36701  12 56 01.927  -04 57 01.36  22.4w 13GJ138   F51  C~1w3u      
2014 04  23.37950  12 56 01.826  -04 57 01.18  22.3w 13GJ138   F51  C~1w3u      
2014 04  29.31034  12 55 23.745  -04 54 53.13  22.2G 13GJ138   F51  C~2r7O      
2014 04  29.32229  12 55 23.685  -04 54 53.15  22.4G 13GJ138   F51  C~2r7O      
2014 04  29.33427  12 55 23.595  -04 54 52.57  23.0G 13GJ138   F51  C~2r7O      
2014 04  29.34624  12 55 23.513  -04 54 52.70  22.1G 13GJ138   F51  C~2r7O      
2015 01  23.59781  13 12 34.748  -07 59 12.84  22.3G 13GJ138   F51  C~2r7O      
2015 01  23.62108  13 12 34.752  -07 59 13.19  22.0G 13GJ138   F51  C~2r7O      
2015 01  25.62486  13 12 33.512  -07 59 41.06  22.1G 13GJ138   F51  C~2r7O      
2015 03  21.48481  13 08 49.554  -07 53 21.67  22.6G 13GJ138   F51  C~2r7O      
2015 03  21.49610  13 08 49.484  -07 53 21.30  22.5G 13GJ138   F51  C~2r7O      
2015 03  21.50739  13 08 49.416  -07 53 21.21  22.4G 13GJ138   F51  C~2r7O      
2015 03  22.44911  13 08 43.234  -07 53 00.45  22.4G 13GJ138   F51  C~2r7O      
2015 03  22.46069  13 08 43.163  -07 53 00.05  22.0G 13GJ138   F51  C~2r7O      
2015 03  22.47238  13 08 43.082  -07 52 59.83  22.3G 13GJ138   F51  C~2r7O      
2015 03  22.48401  13 08 43.024  -07 52 59.45  22.1G 13GJ138   F51  C~2r7O      
2015 04  21.42702  13 05 17.429  -07 40 43.74  22.3G 13GJ138   F51  C~2r7O      
2016 03  12.52346  13 18 35.848  -10 33 58.80  22.7G 13GJ138   F51  C~2r7O      
2016 03  14.54631  13 18 23.796  -10 33 26.48  23.5G 13GJ138   F51  C~2r7O      
2016 03  29.47308  13 16 47.543  -10 28 33.10  22.8G 13GJ138   F51  C~2r7O      
2016 04  03.43861  13 16 13.566  -10 26 38.70  22.4G 13GJ138   F51  C~2r7O      
2016 04  03.45098  13 16 13.497  -10 26 38.65  21.9G 13GJ138   F51  C~2r7O      
2016 04  03.46335  13 16 13.394  -10 26 38.22  21.9G 13GJ138   F51  C~2r7O      
2016 04  03.47573  13 16 13.313  -10 26 37.97  22.7G 13GJ138   F51  C~2r7O      
2016 05  01.37163  13 13 03.725  -10 15 15.15  22.8G 13GJ138   F51  C~2r7O      
2016 05  01.38330  13 13 03.640  -10 15 14.79  21.8G 13GJ138   F51  C~2r7O      
2016 05  01.39496  13 13 03.539  -10 15 14.61  21.2G 13GJ138   F51  C~2r7O      
2017 02  02.60480  13 29 47.053  -13 05 51.84  22.4G 13GJ138   F51  C~2r7O      
2017 02  21.60642  13 28 58.132  -13 08 39.86  22.1G 13GJ138   F51  C~2r7O      
2017 03  28.53391  13 25 48.183  -13 02 44.30  20.8G 13GJ138   F51  C~2r7O      
2017 04  27.36331  13 22 23.840  -12 51 08.39  21.8G 13GJ138   F51  C~2r7O      
2017 05  26.18805  13 19 37.49   -12 40 33.5   22.6R 13GJ138   G37  C~2Gia      
2017 05  26.25301  13 19 37.20   -12 40 32.3         13GJ138   G37  C~2Gia      
2018 04  12.42835  13 32 57.688  -15 26 22.63  23.0G 13GJ138   F51  C~2r7O      
2018 04  12.44123  13 32 57.622  -15 26 22.37  22.8G 13GJ138   F51  C~2r7O      
2018 04  12.46700  13 32 57.420  -15 26 21.69  22.3G 13GJ138   F51  C~2r7O      

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    -0.05
  2   0.0000      0.00     0.09       0.00     0.14
  3   0.0000      0.00     0.05       0.00    -0.08
  4   5.2429      0.00    -0.13       0.00    -0.32
  5   5.8270      0.00    -0.38       0.00    -0.04
  6   5.9442      0.00    -0.06       0.00     0.05
  7   5.9442      0.00    -0.06       0.00     0.06
  8   6.9082      0.00    -0.04       0.00     0.04
  9   6.9082      0.00    -0.09       0.00     0.00
 10   6.9083      0.00    -0.00       0.00     0.01
 11   7.0282      0.00    -0.06       0.00    -0.07
 12   7.0282      0.00    -0.09       0.00    -0.05
 13   7.0282      0.00    -0.15       0.00    -0.11
 14   7.0283      0.00    -0.07       0.00    -0.00
 15   8.0085      0.00     0.24       0.00    -0.17
 16   8.0086      0.00    -0.54       0.00     0.17
 17   8.0221      0.00     0.12       0.00     0.04
 18   8.0221      0.00    -0.32       0.00     0.03
 19   8.0248      0.00     0.04       0.00    -0.15
 20   8.0249      0.00     0.18       0.00    -0.17
 21   8.0249      0.00     0.24       0.00     0.04
 22   8.0249      0.00    -0.12       0.00     0.10
 23   8.0411      0.00     0.05       0.00    -0.02
 24   8.0822      0.00     0.64       0.00     0.47
 25   8.9041      0.00    -0.02       0.00     0.03
 26   8.9041      0.00     0.27       0.00     0.10
 27   8.9041      0.00     0.30       0.00     0.30
 28   8.9042      0.00     0.40       0.00     0.18
 29   8.9095      0.00     0.24       0.00     0.17
 30   8.9095      0.00     0.25       0.00     0.20
 31   8.9096      0.00     0.14       0.00     0.19
 32   8.9096      0.00     0.35       0.00     0.17
 33   8.9258      0.00    -0.03       0.00     0.15
 34   9.0051      0.00     0.03       0.00     0.05
 35   9.0051      0.00    -0.48       0.00    -0.34
 36   9.0052      0.00     0.27       0.00    -0.46
 37   9.0570      0.00     0.49       0.00     0.09
 38   9.0570      0.00     0.23       0.00    -0.01
 39   9.0732      0.00    -0.08       0.00     0.07
 40   9.0733      0.00     0.17       0.00    -0.19
 41   9.0733      0.00    -0.04       0.00     0.14
 42   9.0733      0.00    -0.12       0.00    -0.23
 43   9.8105      0.00    -0.14       0.00    -0.05
 44   9.8106      0.00     0.13       0.00    -0.06
 45   9.8161      0.00    -0.06       0.00     0.04
 46   9.9663      0.00    -0.27       0.00    -0.06
 47   9.9663      0.00    -0.19       0.00     0.06
 48   9.9663      0.00    -0.08       0.00    -0.10
 49   9.9689      0.00    -0.18       0.00    -0.29
 50   9.9689      0.00    -0.08       0.00    -0.14
 51   9.9690      0.00    -0.12       0.00    -0.19
 52   9.9690      0.00     0.18       0.00    -0.07
 53  10.0510      0.00    -0.22       0.00     0.19
 54  10.9438      0.00     0.11       0.00    -0.01
 55  10.9493      0.00     0.01       0.00    -0.02
 56  10.9902      0.00    -0.31       0.00    -0.13
 57  11.0038      0.00    -0.11       0.00     0.13
 58  11.0038      0.00     0.16       0.00    -0.11
 59  11.0038      0.00    -0.08       0.00     0.03
 60  11.0039      0.00     0.01       0.00    -0.01
 61  11.0803      0.00    -0.01       0.00     0.13
 62  11.0803      0.00    -0.15       0.00     0.21
 63  11.0803      0.00    -0.53       0.00     0.12
 64  11.8393      0.00    -0.19       0.00    -0.13
 65  11.8913      0.00    -0.11       0.00    -0.17
 66  11.9869      0.00     0.05       0.00     0.03
 67  12.0686      0.00     0.02       0.00     0.05
 68  12.1475      0.00    -0.01       0.00     0.15
 69  12.1477      0.00     0.22       0.00     0.23
 70  13.0270      0.00    -0.15       0.00    -0.13
 71  13.0271      0.00     0.22       0.00    -0.16
 72  13.0271      0.00    -0.07       0.00    -0.06

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.

13GJ138    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj       121.942   121.940   121.945
ecceobj         0.785     0.785     0.785
incobj         27.990    27.990    27.990
qmin           24.924    24.964    24.967
qmax          245.182   255.079   310.176
amean         127.473   119.444   126.636
amin          117.077   113.187   115.608
amax          135.717   141.216   168.840
emean           0.794     0.781     0.792
emin            0.765     0.764     0.774
emax            0.809     0.806     0.837
imean          27.969    28.007    27.979
imin           26.911    26.924    26.816
imax           30.074    29.861    29.902
excite_mean     0.922     0.911     0.920
fracstop        0.735     0.677     0.802
cjmean          2.444     2.447     2.447

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       187.8     187.2     188.0
kozaiamp         29.5      28.4      27.5