Orbit Fit and Astrometric record for 12GV1

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: 12GV1     
# Created Wed Jul 18 01:38:08 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   27 observations of   27
# Arc:   6.38y
# First observation: 2010/01/12
#  Last observation: 2016/05/29
# Chi-squared of fit:   110.07 DOF:   48 RMS:  0.36
# Min/Max residuals:    -0.59    1.50
# Exact a, adot, b, bdot, g, gdot:
  4.080754E-05  3.465871E-01  1.575653E-05  1.150291E-01  1.340094E-01  2.162610E-02
# Covariance matrix:
  4.2831E-08  4.2101E-02  1.6418E-08  1.6171E-02  7.3963E-12  3.5629E-02
  4.2101E-02  4.1460E+04  1.6139E-02  1.5925E+04  7.2701E-06  3.5086E+04
  1.6418E-08  1.6139E-02  6.2954E-09  6.1991E-03  2.8353E-12  1.3658E-02
  1.6171E-02  1.5925E+04  6.1991E-03  6.1169E+03  2.7925E-06  1.3477E+04
  7.3963E-12  7.2701E-06  2.8353E-12  2.7925E-06  1.2773E-15  6.1524E-06
  3.5629E-02  3.5086E+04  1.3658E-02  1.3477E+04  6.1524E-06  2.9691E+04
#      lat0       lon0       xBary       yBary       zBary        JD0
   -7.487257  152.931102    0.645336   -0.097427   -0.741269  2455208.959206
# Heliocentric elements and errors
Epoch:              2455208.5000  =  2010/01/12
Mean Anomaly:          359.54344 +/-     0.011
Argument of Peri:      340.54396 +/-     0.000
Long of Asc Node:      168.66043 +/-     0.000
Inclination:            18.97764 +/-     0.000
Eccentricity:         0.55009818 +/-   35.3265
Semi-Major Axis:     18.27755987 +/-    0.0000
Time of Perihelion: 2455244.6972 +/-       0.8
Perihelion:           8.22310740 +/-  645.6829
Aphelion:            28.33201233 +/-  645.6829
Period (y)               78.1422 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           -6.95655484 +/-    0.0000
Ecliptic Y            4.27853460 +/-    0.0000
Ecliptic Z           -0.97224652 +/-    0.0000
Ecliptic XDOT        -0.00388211 +/-    0.0012
Ecliptic YDOT        -0.00596095 +/-    0.0005
Ecliptic ZDOT         0.00227240 +/-    0.0003
# Distances at JD0 (AU)
Heliocenter to KBO    8.22464813 +/-    0.0000
Geocenter to KBO      7.46217244 +/-    0.0000
# Hcoef: 11.85

The following table shows the complete astrometric record for 12GV1. 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 (12GV1) followed by the observatory code and reference code for the source of the astrometry.

2010 01  12.45844  10 08 44.34   +03 26 06.1   22.0V 12GV1     G96  C~0gNX      
2010 01  12.46561  10 08 44.26   +03 26 06.8   21.9V 12GV1     G96  C~0gNX      
2010 01  12.47287  10 08 44.23   +03 26 07.6   20.9V 12GV1     G96  C~0gNX      
2010 01  12.48013  10 08 44.12   +03 26 08.5   20.9V 12GV1     G96  C~0gNX      
2011 03  05.39920  11 20 56.36   +04 14 55.5   20.5V 12GV1     G96  C~0gNX      
2011 03  05.39995  11 20 56.36   +04 14 55.8   20.9V 12GV1     G96  C~0gNX      
2011 03  05.40594  11 20 56.29   +04 14 56.9   20.5V 12GV1     G96  C~0gNX      
2011 03  05.40667  11 20 56.25   +04 14 57.3   20.8V 12GV1     G96  C~0gNX      
2011 03  05.41271  11 20 56.11   +04 14 58.2   21.3V 12GV1     G96  C~0gNX      
2011 03  05.41347  11 20 56.14   +04 14 57.9   20.9V 12GV1     G96  C~0gNX      
2011 03  05.42019  11 20 56.07   +04 14 59.2   20.7V 12GV1     G96  C~0gNX      
2012 02  26.30144  12 40 04.76   +02 18 48.0   20.9V 12GV1     691  C~0gNX      
2012 02  26.31938  12 40 04.55   +02 18 50.9   21.4V 12GV1     691  C~0gNX      
2012 02  26.33732  12 40 04.39   +02 18 53.3   21.1V 12GV1     691  C~0gNX      
2012 03  29.35551  12 32 34.58   +03 46 32.8   21.1V 12GV1     G96  C~0g7v      
2012 03  29.36127  12 32 34.44   +03 46 34.4   21.4V 12GV1     G96  C~0g7v      
2012 03  29.36712  12 32 34.36   +03 46 35.2   21.1V 12GV1     G96  C~0g7v      
2012 03  29.37294  12 32 34.26   +03 46 36.0   20.6V 12GV1     G96  C~0g7v      
2012 04  12.33925  12 29 01.633  +04 21 23.09  21.3w 12GV1     F51  C~0fkn      
2012 04  12.35319  12 29 01.425  +04 21 24.97  21.6w 12GV1     F51  C~0fkn      
2012 04  12.36714  12 29 01.216  +04 21 27.07  21.8w 12GV1     F51  C~0fkn      
2012 04  12.38115  12 29 00.994  +04 21 28.87  21.6w 12GV1     F51  C~0fkn      
2012 04  13.28596  12 28 47.87   +04 23 32.5   21.3R 12GV1     291  C~0fkn      
2012 04  13.31808  12 28 47.39   +04 23 36.8   21.3R 12GV1     291  C~0fkn      
2012 04  13.35648  12 28 46.81   +04 23 42.1   21.1R 12GV1     291  C~0fkn      
2016 05  29.35286  15 46 47.221  -00 26 37.08  22.2R 12GV1     G37  C~2bmL      
2016 05  29.40562  15 46 46.495  -00 26 35.53        12GV1     G37  C~2bmL      

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    -0.57       0.00     1.50
  2   0.0000      0.00    -0.11       0.00    -0.38
  3   0.0000      0.00     0.57       0.00    -0.17
  4   0.0001      0.00     0.06       0.00     0.13
  5   1.1415      0.00    -0.02       0.00    -0.28
  6   1.1415      0.00     0.16       0.00    -0.11
  7   1.1415      0.00     0.58       0.00    -0.05
  8   1.1415      0.00     0.16       0.00     0.22
  9   1.1416      0.00    -0.46       0.00     0.07
 10   1.1416      0.00     0.18       0.00    -0.36
 11   1.1416      0.00     0.78       0.00    -0.23
 12   2.1214      0.00    -0.13       0.00     0.10
 13   2.1215      0.00    -0.26       0.00     0.18
 14   2.1215      0.00     0.37       0.00    -0.23
 15   2.2092      0.00     0.82       0.00    -0.59
 16   2.2092      0.00     0.10       0.00     0.09
 17   2.2092      0.00     0.30       0.00    -0.04
 18   2.2092      0.00     0.20       0.00    -0.17
 19   2.2474      0.00     0.33       0.00    -0.11
 20   2.2475      0.00     0.34       0.00    -0.15
 21   2.2475      0.00     0.34       0.00     0.03
 22   2.2476      0.00     0.16       0.00    -0.10
 23   2.2500      0.00     0.05       0.00    -0.01
 24   2.2501      0.00    -0.02       0.00    -0.07
 25   2.2502      0.00    -0.21       0.00     0.02
 26   6.3762      0.00     0.13       0.00    -0.07
 27   6.3763      0.00     0.16       0.00    -0.43

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.

12GV1    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        18.419    18.419    18.419
ecceobj         0.551     0.551     0.551
incobj         18.938    18.938    18.938
qmin            7.972     8.057     8.134
qmax           30.810    28.561    28.562
amean          18.485    16.254    17.006
amin           16.951    15.571    16.317
amax           19.584    18.419    18.419
emean           0.555     0.495     0.513
emin            0.526     0.469     0.482
emax            0.573     0.551     0.551
imean          17.878    19.153    18.601
imin           17.466    18.224    18.041
imax           18.505    20.304    19.783
excite_mean     0.634     0.594     0.604
fracstop        0.003     0.003     0.002
cjmean          2.874     3.063     2.997

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       104.8     113.7     109.7
kozaiamp        178.3     177.2     178.9