Orbit Fit and Astrometric record for 12SB67

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: 12SB67    
# Created Mon Apr 22 01:09:19 2019
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   66 observations of   66
# Arc:   9.06y
# First observation: 2008/11/01
#  Last observation: 2017/11/22
# Chi-squared of fit:    60.70 DOF:  126 RMS:  0.17
# Min/Max residuals:    -0.53    0.46
# Exact a, adot, b, bdot, g, gdot:
  1.650482E-05  2.568219E-02 -3.968682E-06 -6.941614E-03  2.521239E-02 -6.127752E-04
# Covariance matrix:
  3.7508E-13 -1.2290E-13 -4.7496E-14  2.5128E-14 -8.2758E-14 -3.7395E-13
 -1.2290E-13  5.5965E-14  2.4771E-14 -1.3199E-14  1.5548E-14  1.9736E-13
 -4.7496E-14  2.4771E-14  1.6860E-13 -3.1834E-14  8.0418E-15  9.5528E-14
  2.5128E-14 -1.3199E-14 -3.1834E-14  8.2025E-15 -3.9948E-15 -5.0912E-14
 -8.2758E-14  1.5548E-14  8.0418E-15 -3.9948E-15  9.0644E-14  5.6835E-14
 -3.7395E-13  1.9736E-13  9.5528E-14 -5.0912E-14  5.6835E-14  7.6139E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    9.700360    2.616415   -0.595328    0.134173   -0.784694  2454771.815329
# Heliocentric elements and errors
Epoch:              2454772.5000  =  2008/11/02
Mean Anomaly:          357.97520 +/-     0.011
Argument of Peri:      150.28898 +/-     0.015
Long of Asc Node:      214.63242 +/-     0.000
Inclination:            17.93414 +/-     0.000
Eccentricity:         0.14348520 +/-    0.0000
Semi-Major Axis:     47.22398306 +/-    0.0028
Time of Perihelion: 2455439.1877 +/-      11.0
Perihelion:          40.44804055 +/-    0.0031
Aphelion:            53.99992557 +/-    0.0037
Period (y)              324.5280 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           39.82504247 +/-    0.0005
Ecliptic Y            2.41172182 +/-    0.0000
Ecliptic Z            6.68289055 +/-    0.0001
Ecliptic XDOT        -0.00006003 +/-    0.0000
Ecliptic YDOT         0.00279121 +/-    0.0000
Ecliptic ZDOT        -0.00075435 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.45382252 +/-    0.0005
Geocenter to KBO     39.66308912 +/-    0.0005
# Hcoef:  6.47

The following table shows the complete astrometric record for 12SB67. 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 (12SB67) followed by the observatory code and reference code for the source of the astrometry.

2008 11  01.314575 23 54 00.62   +09 55 57.5   22.5V 12SB67    645  C~2VVL      
2008 11  01.315404 23 54 00.62   +09 55 57.5   22.0V 12SB67    645  C~2VVL      
2008 11  01.317892 23 54 00.62   +09 55 57.3   22.9V 12SB67    645  C~2VVL      
2010 06  15.55935  00 12 29.110  +10 57 56.93  22.9G 12SB67    F51  C~2rXu      
2010 06  19.54700  00 12 35.846  +10 59 19.42  23.0G 12SB67    F51  C~2rXu      
2010 09  16.54655  00 09 34.044  +10 49 37.15  22.0i 12SB67    F51  C~1w3r      
2010 09  18.47752  00 09 25.353  +10 48 37.41  21.8G 12SB67    F51  C~2rXu      
2011 09  19.37489  00 15 34.265  +11 00 55.12  22.6r 12SB67    F51  C~1w3r      
2011 09  19.38876  00 15 34.179  +11 00 54.95  22.2i 12SB67    F51  C~1w3r      
2011 09  19.40040  00 15 34.130  +11 00 54.78  22.3i 12SB67    F51  C~1w3r      
2012 08  12.61407  00 24 07.549  +11 26 44.21  22.7G 12SB67    F51  C~2rXu      
2012 09  26.38054  00 21 11.049  +11 08 59.41  22.6G 12SB67    F51  C~2rXu      
2012 09  26.38317  00 21 11.004  +11 08 59.22  21.5i 12SB67    F51  C~1w3r      
2012 09  26.49890  00 21 10.483  +11 08 55.74  21.8r 12SB67    F51  C~1w3r      
2012 10  09.34062  00 20 12.065  +11 01 35.79  22.5w 12SB67    F51  C~1w3r      
2012 10  09.35472  00 20 11.988  +11 01 35.31  22.5w 12SB67    F51  C~1w3r      
2012 10  09.36889  00 20 11.919  +11 01 34.77  22.3w 12SB67    F51  C~1w3r      
2012 10  09.38320  00 20 11.863  +11 01 34.26  22.2w 12SB67    F51  C~1w3r      
2012 11  04.24123  00 18 27.305  +10 46 15.25  22.3w 12SB67    F51  C~1w3r      
2012 11  04.25534  00 18 27.258  +10 46 14.73  22.4w 12SB67    F51  C~1w3r      
2012 11  04.26945  00 18 27.194  +10 46 14.29  22.4w 12SB67    F51  C~1w3r      
2013 08  29.56421  00 29 22.753  +11 33 29.27  22.4G 12SB67    F51  C~2rXu      
2013 09  10.49266  00 28 34.943  +11 28 42.88  22.5w 12SB67    F51  C~1w3r      
2013 09  10.50706  00 28 34.890  +11 28 42.49  22.5w 12SB67    F51  C~1w3r      
2013 09  10.50778  00 28 34.879  +11 28 42.46  22.4w 12SB67    F51  C~1w3r      
2013 09  10.52183  00 28 34.803  +11 28 41.85  22.0w 12SB67    F51  C~1w3r      
2013 09  10.52250  00 28 34.831  +11 28 42.02  22.6w 12SB67    F51  C~1w3r      
2013 09  10.53661  00 28 34.770  +11 28 41.40  22.7w 12SB67    F51  C~1w3r      
2013 09  10.53726  00 28 34.750  +11 28 41.66  22.4w 12SB67    F51  C~1w3r      
2013 09  16.38986  00 28 09.372  +11 25 57.86  22.8G 12SB67    F51  C~2rXu      
2013 10  25.43176  00 25 15.561  +11 03 59.88  21.9i 12SB67    F51  C~1w3r      
2014 01  25.22569  00 24 25.118  +10 35 27.55  22.1w 12SB67    F51  C~1w3r      
2014 01  25.23620  00 24 25.134  +10 35 28.29  22.5w 12SB67    F51  C~1w3r      
2014 06  30.57800  00 37 00.124  +11 47 48.89  23.0G 12SB67    F51  C~2rXu      
2014 07  08.62518  00 37 06.368  +11 49 26.04  21.3G 12SB67    F51  C~2rXu      
2014 08  28.59756  00 35 37.958  +11 44 52.48  22.3G 12SB67    F51  C~2rXu      
2014 09  02.54388  00 35 19.562  +11 43 07.19  22.3G 12SB67    F51  C~2rXu      
2014 09  02.55616  00 35 19.526  +11 43 06.92  22.8G 12SB67    F51  C~2rXu      
2014 09  02.56846  00 35 19.476  +11 43 06.74  21.7G 12SB67    F51  C~2rXu      
2014 09  02.58075  00 35 19.430  +11 43 06.10  22.2G 12SB67    F51  C~2rXu      
2014 09  14.39757  00 34 30.996  +11 38 07.76  21.4G 12SB67    F51  C~2rXu      
2014 09  14.40943  00 34 30.964  +11 38 07.57  22.7G 12SB67    F51  C~2rXu      
2014 09  14.42131  00 34 30.930  +11 38 07.45  22.6G 12SB67    F51  C~2rXu      
2014 11  17.21769  00 30 06.863  +11 02 38.18  21.9G 12SB67    F51  C~2rXu      
2014 12  09.31709  00 29 24.004  +10 52 44.52  22.7G 12SB67    F51  C~2rXu      
2015 09  06.54705  00 41 16.015  +11 52 08.90  22.6G 12SB67    F51  C~2rXu      
2015 09  06.55926  00 41 15.961  +11 52 08.60  22.7G 12SB67    F51  C~2rXu      
2015 09  06.57146  00 41 15.896  +11 52 08.39  22.3G 12SB67    F51  C~2rXu      
2015 09  06.59728  00 41 15.814  +11 52 07.62  22.4G 12SB67    F51  C~2rXu      
2015 10  13.31469  00 38 32.985  +11 33 31.09  22.5G 12SB67    F51  C~2rXu      
2015 10  13.32831  00 38 32.924  +11 33 30.30  22.4G 12SB67    F51  C~2rXu      
2015 10  13.33945  00 38 32.887  +11 33 30.22  22.1G 12SB67    F51  C~2rXu      
2015 10  13.35055  00 38 32.842  +11 33 29.66  22.8G 12SB67    F51  C~2rXu      
2015 11  18.23286  00 36 13.415  +11 13 05.95  22.7G 12SB67    F51  C~2rXu      
2015 11  27.34916  00 35 50.137  +11 08 37.90  23.7G 12SB67    F51  C~2rXu      
2016 08  15.51602  00 48 36.502  +12 08 29.39  22.3G 12SB67    F51  C~2rXu      
2016 10  06.46293  00 45 12.823  +11 47 11.28  22.5G 12SB67    F51  C~2rXu      
2016 10  06.47593  00 45 12.782  +11 47 10.83  22.0G 12SB67    F51  C~2rXu      
2016 10  06.48891  00 45 12.727  +11 47 10.52  22.4G 12SB67    F51  C~2rXu      
2016 10  06.50197  00 45 12.666  +11 47 10.05  22.3G 12SB67    F51  C~2rXu      
2016 10  19.43919  00 44 13.804  +11 39 44.93  22.0G 12SB67    F51  C~2rXu      
2016 10  19.46247  00 44 13.712  +11 39 44.24  22.5G 12SB67    F51  C~2rXu      
2016 10  26.42026  00 43 43.549  +11 35 41.37  22.3G 12SB67    F51  C~2rXu      
2017 08  26.60490  00 54 14.642  +12 15 04.49  22.6G 12SB67    F51  C~2rXu      
2017 09  02.45573  00 53 51.284  +12 12 50.67  22.6G 12SB67    F51  C~2rXu      
2017 11  22.20700  00 48 18.149  +11 31 01.00  21.7G 12SB67    F51  C~2rXu      

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    -0.00       0.00    -0.08
  3   0.0000      0.00     0.12       0.00    -0.19
  4   1.6187      0.00     0.08       0.00    -0.06
  5   1.6297      0.00    -0.24       0.00    -0.02
  6   1.8733      0.00     0.15       0.00     0.28
  7   1.8786      0.00     0.24       0.00    -0.21
  8   2.8804      0.00     0.16       0.00    -0.26
  9   2.8804      0.00    -0.17       0.00    -0.01
 10   2.8805      0.00    -0.10       0.00     0.18
 11   3.7791      0.00    -0.16       0.00    -0.09
 12   3.9016      0.00     0.17       0.00     0.06
 13   3.9016      0.00    -0.32       0.00    -0.05
 14   3.9019      0.00    -0.05       0.00     0.27
 15   3.9371      0.00     0.04       0.00    -0.01
 16   3.9371      0.00    -0.15       0.00     0.01
 17   3.9372      0.00    -0.22       0.00    -0.03
 18   3.9372      0.00    -0.08       0.00    -0.03
 19   4.0080      0.00    -0.06       0.00     0.19
 20   4.0081      0.00    -0.02       0.00     0.16
 21   4.0081      0.00    -0.24       0.00     0.20
 22   4.8248      0.00    -0.11       0.00    -0.09
 23   4.8574      0.00    -0.02       0.00     0.15
 24   4.8575      0.00     0.12       0.00     0.14
 25   4.8575      0.00     0.01       0.00     0.13
 26   4.8575      0.00    -0.22       0.00    -0.10
 27   4.8575      0.00     0.24       0.00     0.09
 28   4.8576      0.00     0.25       0.00    -0.15
 29   4.8576      0.00    -0.01       0.00     0.12
 30   4.8736      0.00    -0.16       0.00    -0.04
 31   4.9805      0.00    -0.18       0.00     0.16
 32   5.2318      0.00     0.46       0.00    -0.30
 33   5.2318      0.00     0.15       0.00     0.37
 34   5.6599      0.00     0.20       0.00     0.13
 35   5.6819      0.00    -0.31       0.00    -0.04
 36   5.8214      0.00     0.00       0.00    -0.08
 37   5.8350      0.00     0.03       0.00     0.04
 38   5.8350      0.00     0.21       0.00     0.05
 39   5.8351      0.00     0.18       0.00     0.15
 40   5.8351      0.00     0.22       0.00    -0.22
 41   5.8674      0.00    -0.14       0.00    -0.13
 42   5.8675      0.00     0.16       0.00     0.01
 43   5.8675      0.00     0.43       0.00     0.21
 44   6.0422      0.00    -0.01       0.00    -0.53
 45   6.1027      0.00    -0.00       0.00    -0.10
 46   6.8453      0.00     0.10       0.00    -0.05
 47   6.8453      0.00     0.03       0.00    -0.06
 48   6.8453      0.00    -0.20       0.00     0.03
 49   6.8454      0.00     0.13       0.00    -0.13
 50   6.9459      0.00    -0.31       0.00     0.29
 51   6.9460      0.00    -0.28       0.00    -0.03
 52   6.9460      0.00    -0.07       0.00     0.28
 53   6.9460      0.00     0.03       0.00     0.11
 54   7.0443      0.00    -0.05       0.00     0.17
 55   7.0692      0.00     0.02       0.00    -0.44
 56   7.7870      0.00     0.04       0.00    -0.23
 57   7.9292      0.00    -0.27       0.00    -0.05
 58   7.9293      0.00     0.03       0.00    -0.06
 59   7.9293      0.00     0.12       0.00     0.07
 60   7.9293      0.00     0.12       0.00     0.04
 61   7.9647      0.00    -0.11       0.00    -0.21
 62   7.9648      0.00     0.09       0.00    -0.08
 63   7.9839      0.00     0.08       0.00     0.07
 64   8.8167      0.00    -0.02       0.00     0.03
 65   8.8354      0.00    -0.08       0.00    -0.04
 66   9.0565      0.00     0.15       0.00     0.10

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.

12SB67    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        47.407    47.407    47.407
ecceobj         0.147     0.147     0.147
incobj         17.885    17.885    17.885
qmin           39.605    39.580    39.638
qmax           54.934    54.937    54.935
amean          47.085    47.085    47.085
amin           46.689    46.687    46.692
amax           47.529    47.528    47.531
emean           0.142     0.142     0.142
emin            0.130     0.130     0.130
emax            0.156     0.157     0.156
imean          18.626    18.626    18.626
imin           18.257    18.258    18.256
imax           18.973    18.971    18.975
excite_mean     0.350     0.350     0.350
fracstop        1.000     1.000     1.000
cjmean          2.985     2.985     2.985

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       181.2     181.2     181.1
kozaiamp        180.0     180.0     180.0