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 Thu Apr 26 01:37:55 2018
# Orbit generated from Bernstein formalism
# Fitting   26 observations of   26
# Arc:   5.23y
# First observation: 2008/11/01
#  Last observation: 2014/01/25
Preliminary a, adot, b, bdot, g, gdot:
  -0.000080   0.025626  -0.000181  -0.006930   0.027490   0.000000
# WARNING -- MRQMIN stopped after  19 iterations
# Chi-squared of fit:    22.30 DOF:   46 RMS:  0.16
# Min/Max residuals:    -0.51    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.657547E-05  2.568174E-02 -4.298281E-06 -6.941366E-03  2.521199E-02 -6.161857E-04
# Covariance matrix:
  4.7784E-13 -2.2341E-13 -2.1893E-14  3.6530E-14 -1.3610E-13 -1.0065E-12
 -2.2341E-13  2.4217E-13  3.6969E-14 -5.6801E-14  8.3230E-14  1.5441E-12
 -2.1893E-14  3.6969E-14  3.7787E-13 -9.5410E-14  8.3928E-15  2.5844E-13
  3.6530E-14 -5.6801E-14 -9.5410E-14  3.8120E-14 -2.5100E-14 -4.0231E-13
 -1.3610E-13  8.3230E-14  8.3928E-15 -2.5100E-14  3.8519E-13  7.3889E-13
 -1.0065E-12  1.5441E-12  2.5844E-13 -4.0231E-13  7.3889E-13  1.0961E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    9.700360    2.616415   -0.595328    0.134173   -0.784694  2454771.815329
# Heliocentric elements and errors
Epoch:              2454770.5000  =  2008/10/31
Mean Anomaly:          357.92595 +/-     0.042
Argument of Peri:      150.34695 +/-     0.057
Long of Asc Node:      214.63284 +/-     0.000
Inclination:            17.93391 +/-     0.000
Eccentricity:         0.14350708 +/-    0.0001
Semi-Major Axis:     47.22562421 +/-    0.0056
Time of Perihelion: 2455453.4401 +/-      13.9
Perihelion:          40.44841281 +/-    0.0062
Aphelion:            54.00283562 +/-    0.0075
Period (y)              324.5449 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           39.82565742 +/-    0.0010
Ecliptic Y            2.41175274 +/-    0.0001
Ecliptic Z            6.68298253 +/-    0.0002
Ecliptic XDOT        -0.00006040 +/-    0.0000
Ecliptic YDOT         0.00279119 +/-    0.0000
Ecliptic ZDOT        -0.00075440 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.45444099 +/-    0.0009
Geocenter to KBO     39.66366307 +/-    0.0010
# Hcoef:  6.43

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 09  16.54655  00 09 34.044  +10 49 37.15  22.0i 12SB67    F51  C~1w3r      
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 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 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 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      

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    -0.10       0.00    -0.01
  2   0.0000      0.00    -0.05       0.00    -0.00
  3   0.0000     -0.08     0.01      -0.18    -0.15
  4   1.8733  13937.80     0.35   -2529.85     0.18
  5   2.8804  19122.55     0.13   -3982.72    -0.35
  6   2.8804  19121.30    -0.07   -3982.38     0.02
  7   2.8805  19120.56     0.06   -3982.26     0.17
  8   3.9016  23937.90    -0.29   -5461.79     0.02
  9   3.9019  23929.36     0.09   -5462.05     0.21
 10   3.9371  22953.78     0.05   -5537.28    -0.08
 11   3.9371  22952.54    -0.12   -5537.29     0.01
 12   3.9372  22951.38    -0.19   -5537.40    -0.00
 13   3.9372  22950.41    -0.06   -5537.55    -0.06
 14   4.0080  21154.62     0.03   -5791.75     0.14
 15   4.0081  21153.77     0.05   -5791.96     0.09
 16   4.0081  21152.72    -0.13   -5792.00     0.22
 17   4.8574  30546.12    -0.03   -6878.14     0.08
 18   4.8575  30545.23     0.10   -6878.21     0.02
 19   4.8575  30545.07    -0.01   -6878.17     0.05
 20   4.8575  30543.77    -0.31   -6878.32    -0.08
 21   4.8575  30544.23     0.19   -6878.32    -0.08
 22   4.8576  30543.14     0.10   -6878.55    -0.31
 23   4.8576  30542.96    -0.03   -6878.19     0.05
 24   4.9805  27204.30    -0.18   -7133.74     0.15
 25   5.2318  25844.74     0.22   -8442.95    -0.51
 26   5.2318  25845.24     0.18   -8442.35     0.22

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        47.410    47.426    47.393
ecceobj         0.147     0.147     0.147
incobj         17.885    17.884    17.885
qmin           39.615    39.536    39.610
qmax           55.006    54.941    54.954
amean          47.088    47.104    47.072
amin           46.683    46.706    46.670
amax           47.552    47.547    47.522
emean           0.142     0.143     0.142
emin            0.130     0.129     0.129
emax            0.157     0.156     0.156
imean          18.625    18.625    18.626
imin           18.253    18.252    18.257
imax           18.960    18.957    18.972
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       181.1     181.1     181.2
kozaiamp        180.0     180.0     180.0