Orbit Fit and Astrometric record for 12GU11

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: 12GU11    
# Created Wed Dec 13 02:37:50 2017
# Orbit generated from Bernstein formalism
# Fitting   54 observations of   54
# Arc:   4.18y
# First observation: 2011/04/02
#  Last observation: 2015/06/08
Preliminary a, adot, b, bdot, g, gdot:
   0.005781   0.097621   0.000895   0.015719   0.062410   0.000000
# Chi-squared of fit:    39.16 DOF:  102 RMS:  0.15
# Min/Max residuals:    -0.36    0.35
# Exact a, adot, b, bdot, g, gdot:
  3.082164E-05  1.053174E-01  5.222402E-06  1.691284E-02  5.506728E-02  2.170399E-02
# Covariance matrix:
  1.9521E-13 -1.6107E-13  1.0902E-14 -1.9884E-14  1.8953E-14 -3.1271E-13
 -1.6107E-13  2.5366E-13 -2.0470E-14  3.8973E-14  5.9576E-15  6.0875E-13
  1.0902E-14 -2.0470E-14  1.3246E-13 -4.3502E-14  2.9791E-15 -5.2901E-14
 -1.9884E-14  3.8973E-14 -4.3502E-14  2.2355E-14  5.7341E-16  9.9867E-14
  1.8953E-14  5.9576E-15  2.9791E-15  5.7341E-16  1.5755E-13 -6.2095E-15
 -3.1271E-13  6.0875E-13 -5.2901E-14  9.9867E-14 -6.2095E-15  1.5620E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    6.017600  175.751207   -0.280722    0.100967   -0.958046  2455653.807636
# Heliocentric elements and errors
Epoch:              2455650.5000  =  2011/03/30
Mean Anomaly:            0.67802 +/-     0.000
Argument of Peri:        6.09871 +/-     0.001
Long of Asc Node:      144.82753 +/-     0.000
Inclination:            10.76362 +/-     0.000
Eccentricity:         0.89378849 +/-    0.0000
Semi-Major Axis:    171.29923943 +/-    0.0738
Time of Perihelion: 2454108.1903 +/-       0.0
Perihelion:          18.19395135 +/-    0.0110
Aphelion:           324.40452751 +/-    0.1400
Period (y)             2242.0297 +/-      1.45
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -18.98738001 +/-    0.0001
Ecliptic Y            1.12869234 +/-    0.0000
Ecliptic Z            1.90384760 +/-    0.0000
Ecliptic XDOT        -0.00137185 +/-    0.0000
Ecliptic YDOT        -0.00514285 +/-    0.0000
Ecliptic ZDOT         0.00094939 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   19.11594052 +/-    0.0001
Geocenter to KBO     18.15960478 +/-    0.0001
# Hcoef:  8.89

The following table shows the complete astrometric record for 12GU11. 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 (12GU11) followed by the observatory code and reference code for the source of the astrometry.

2011 04  02.30687  11 54 00.987  +07 12 32.84  21.5w 12GU11    F51  C~1vWd      
2011 04  02.32200  11 54 00.869  +07 12 33.79  21.7w 12GU11    F51  C~1vWd      
2011 04  02.33816  11 54 00.745  +07 12 34.75  21.8w 12GU11    F51  C~1vWd      
2011 04  02.35325  11 54 00.623  +07 12 35.51  21.9w 12GU11    F51  C~1vWd      
2011 06  19.27888  11 50 13.578  +07 29 36.23  22.3w 12GU11    F51  C~1vWd      
2011 06  19.28415  11 50 13.613  +07 29 35.98  22.3w 12GU11    F51  C~1vWd      
2011 06  19.28941  11 50 13.613  +07 29 35.52  22.2w 12GU11    F51  C~1vWd      
2011 06  19.29467  11 50 13.615  +07 29 35.75  22.0w 12GU11    F51  C~1vWd      
2012 04  12.33792  12 15 50.689  +05 50 51.54  21.8w 12GU11    F51  C@0613      
2012 04  12.35186  12 15 50.578  +05 50 52.23  21.6w 12GU11    F51  C@0613      
2012 04  12.37982  12 15 50.369  +05 50 53.67  21.8w 12GU11    F51  C@0613      
2012 04  16.29855  12 15 21.81   +05 53 57.8   21.4R 12GU11    291  C~0frf      
2012 04  16.30993  12 15 21.71   +05 53 58.8   21.0R 12GU11    291  C~0frf      
2012 04  16.32130  12 15 21.63   +05 53 59.6   21.2R 12GU11    291  C~0frf      
2013 03  19.48691  12 40 53.611  +03 58 19.55  22.0w 12GU11    F51  C~1vWd      
2013 03  19.50225  12 40 53.492  +03 58 20.45  21.9w 12GU11    F51  C~1vWd      
2013 03  19.51769  12 40 53.366  +03 58 21.37  21.9w 12GU11    F51  C~1vWd      
2013 03  19.53311  12 40 53.241  +03 58 22.56  22.0w 12GU11    F51  C~1vWd      
2014 02  10.49820  13 04 45.674  +01 57 13.91  21.5i 12GU11    F51  C~1w3q      
2014 03  09.48783  13 02 35.360  +02 21 47.64  21.4i 12GU11    F51  C~1w3q      
2014 03  09.56102  13 02 34.849  +02 21 52.16  21.8i 12GU11    F51  C~1w3q      
2014 03  09.57498  13 02 34.781  +02 21 52.98  21.8i 12GU11    F51  C~1w3q      
2014 03  24.44622  13 00 49.861  +02 36 44.28  21.9w 12GU11    F51  C~1vWd      
2014 03  24.45973  13 00 49.764  +02 36 44.87  22.0w 12GU11    F51  C~1vWd      
2014 03  24.47324  13 00 49.650  +02 36 45.77  22.3w 12GU11    F51  C~1vWd      
2014 03  24.48684  13 00 49.563  +02 36 46.38  22.1w 12GU11    F51  C~1vWd      
2014 04  04.35227  12 59 26.022  +02 47 13.35  21.8w 12GU11    F51  C~1vWd      
2014 04  04.36614  12 59 25.916  +02 47 14.32  22.0w 12GU11    F51  C~1vWd      
2014 04  04.38009  12 59 25.788  +02 47 15.08  21.9w 12GU11    F51  C~1vWd      
2014 04  04.39402  12 59 25.677  +02 47 15.69  22.1w 12GU11    F51  C~1vWd      
2014 04  23.30324  12 57 01.769  +03 02 58.74  22.1w 12GU11    F51  C~1vWd      
2014 04  23.31534  12 57 01.673  +03 02 59.41  21.9w 12GU11    F51  C~1vWd      
2014 04  23.33967  12 57 01.475  +03 03 00.40  22.3w 12GU11    F51  C~1vWd      
2014 04  29.26022  12 56 19.840  +03 06 59.56  22.1w 12GU11    F51  C~1vWd      
2014 04  29.27212  12 56 19.755  +03 07 00.12  22.2w 12GU11    F51  C~1vWd      
2014 04  29.28400  12 56 19.682  +03 07 00.48  22.2w 12GU11    F51  C~1vWd      
2014 04  29.29589  12 56 19.594  +03 07 00.74  21.9w 12GU11    F51  C~1vWd      
2014 05  27.29190  12 53 50.198  +03 17 46.62  22.0w 12GU11    F51  C~1vWd      
2014 05  27.30439  12 53 50.145  +03 17 46.74  22.2w 12GU11    F51  C~1vWd      
2014 05  27.31688  12 53 50.109  +03 17 46.89  22.1w 12GU11    F51  C~1vWd      
2014 05  27.32937  12 53 50.057  +03 17 46.90  22.0w 12GU11    F51  C~1vWd      
2015 03  25.45024  13 19 56.626  +01 15 26.65  22.2w 12GU11    F51  C~1vWd      
2015 03  25.46513  13 19 56.514  +01 15 27.29  22.2w 12GU11    F51  C~1vWd      
2015 03  25.48013  13 19 56.398  +01 15 28.27  22.3w 12GU11    F51  C~1vWd      
2015 04  16.34609  13 17 11.825  +01 35 02.18  22.0w 12GU11    F51  C~1vWd      
2015 04  16.37508  13 17 11.609  +01 35 03.32  21.8w 12GU11    F51  C~1vWd      
2015 04  16.38958  13 17 11.486  +01 35 04.08  22.0w 12GU11    F51  C~1vWd      
2015 05  20.38956  13 13 25.063  +01 54 51.87  22.4w 12GU11    F51  C~1vWd      
2015 05  20.40114  13 13 25.003  +01 54 51.75  22.4w 12GU11    F51  C~1vWd      
2015 05  20.42431  13 13 24.871  +01 54 52.61  22.3w 12GU11    F51  C~1vWd      
2015 06  08.26609  13 12 11.079  +01 57 27.45  22.3w 12GU11    F51  C~1vWd      
2015 06  08.27784  13 12 11.037  +01 57 27.60  22.5w 12GU11    F51  C~1vWd      
2015 06  08.28955  13 12 11.001  +01 57 27.27  22.4w 12GU11    F51  C~1vWd      
2015 06  08.30129  13 12 10.980  +01 57 27.34  22.5w 12GU11    F51  C~1vWd      

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    -0.12       0.00    -0.08
  2   0.0000     -1.99    -0.12       0.17     0.04
  3   0.0001     -4.06    -0.07       0.31     0.13
  4   0.0001     -6.03    -0.05       0.28     0.06
  5   0.2135  -3510.86     0.10    -411.04    -0.00
  6   0.2135  -3510.28     0.35    -411.06     0.03
  7   0.2135  -3510.10     0.21    -411.49    -0.34
  8   0.2135  -3510.16    -0.18    -411.26    -0.06
  9   1.0295  19893.50     0.10    3433.75     0.10
 10   1.0296  19891.69     0.03    3433.70     0.08
 11   1.0296  19888.22     0.05    3433.74     0.17
 12   1.0404  19419.77     0.16    3426.73    -0.29
 13   1.0404  19417.98    -0.27    3427.03     0.05
 14   1.0404  19416.55    -0.35    3427.27     0.33
 15   1.9635  43722.32     0.06    6677.85     0.14
 16   1.9636  43720.24     0.10    6677.92     0.10
 17   1.9636  43718.05     0.05    6677.96     0.04
 18   1.9637  43715.75    -0.11    6678.26     0.23
 19   2.8616  67937.91    -0.06    9321.60    -0.36
 20   2.9355  65296.51     0.12    9840.26    -0.01
 21   2.9357  65286.77    -0.32    9841.09    -0.03
 22   2.9357  65285.37     0.05    9841.41     0.12
 23   2.9764  63307.65    -0.18    9977.69     0.02
 24   2.9765  63305.94     0.02    9977.59    -0.14
 25   2.9765  63303.82    -0.17    9977.68    -0.11
 26   2.9765  63302.25     0.18    9977.67    -0.18
 27   3.0063  61772.87     0.07   10008.06    -0.12
 28   3.0063  61770.85     0.04   10008.27     0.09
 29   3.0064  61768.61    -0.21   10008.12    -0.04
 30   3.0064  61766.68    -0.13   10007.95    -0.20
 31   3.0582  59208.87     0.23    9932.22    -0.04
 32   3.0582  59207.16     0.07    9932.21     0.06
 33   3.0583  59203.79    -0.17    9931.81    -0.12
 34   3.0745  58482.20     0.15    9878.58    -0.04
 35   3.0745  58480.70     0.07    9878.54     0.05
 36   3.0745  58479.46     0.25    9878.39     0.03
 37   3.0746  58478.05     0.26    9878.05    -0.18
 38   3.1512  55994.99     0.03    9489.70    -0.11
 39   3.1513  55994.16    -0.08    9489.46    -0.13
 40   3.1513  55993.57     0.05    9489.36    -0.00
 41   3.1513  55992.80     0.00    9489.03    -0.12
 42   3.9785  83234.33     0.16   13221.55     0.25
 43   3.9785  83232.24     0.22   13221.38     0.02
 44   3.9786  83229.93     0.07   13221.51     0.10
 45   4.0384  80063.70    -0.10   13199.01     0.13
 46   4.0385  80059.76     0.17   13198.59    -0.06
 47   4.0386  80057.46    -0.01   13198.46    -0.08
 48   4.1316  75956.76    -0.08   12758.43     0.13
 49   4.1317  75955.88     0.10   12757.90    -0.18
 50   4.1317  75953.43    -0.25   12757.81     0.17
 51   4.1833  74738.18    -0.03   12392.91     0.13
 52   4.1834  74737.46    -0.26   12392.76     0.23
 53   4.1834  74737.06    -0.17   12392.19    -0.09
 54   4.1834  74736.70    -0.05   12392.11     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.

12GU11    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj       177.387   177.662   177.112
ecceobj         0.897     0.897     0.897
incobj         10.761    10.761    10.761
qmin           17.169    17.519    17.219
qmax          380.705   337.097   345.452
amean         174.639   171.589   147.316
amin          156.583   164.543   117.285
amax          199.523   177.661   181.848
emean           0.895     0.893     0.875
emin            0.879     0.884     0.842
emax            0.909     0.899     0.900
imean           9.818     9.563    10.058
imin            9.290     9.329     9.304
imax           10.363     9.732    10.882
excite_mean     0.911     0.908     0.892
fracstop        0.101     0.001     0.075
cjmean          2.288     2.296     2.307

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        16.8       6.3      17.3
kozaiamp         11.8       0.4      12.6