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 Oct 23 01:38:11 2017
# Orbit generated from Bernstein formalism
# Fitting   23 observations of   23
# Arc:   3.36y
# First observation: 2010/09/16
#  Last observation: 2014/01/25
Preliminary a, adot, b, bdot, g, gdot:
   0.000439   0.025587  -0.000231  -0.007111   0.026161   0.000000
# Chi-squared of fit:    17.55 DOF:   40 RMS:  0.15
# Min/Max residuals:    -0.44    0.30
# Exact a, adot, b, bdot, g, gdot:
  1.611944E-05  2.573413E-02 -5.400279E-06 -7.258591E-03  2.532808E-02  3.781733E-05
# Covariance matrix:
  1.1628E-12 -1.2096E-12 -2.1671E-13  2.9641E-13 -7.9421E-13 -1.0627E-11
 -1.2096E-12  1.6876E-12  3.3842E-13 -4.6494E-13  1.3388E-12  1.6742E-11
 -2.1671E-13  3.3842E-13  5.8949E-13 -2.9839E-13  2.6341E-13  3.5613E-12
  2.9641E-13 -4.6494E-13 -2.9839E-13  2.2357E-13 -3.7071E-13 -4.8837E-12
 -7.9421E-13  1.3388E-12  2.6341E-13 -3.7071E-13  1.4606E-12  1.3659E-11
 -1.0627E-11  1.6742E-11  3.5613E-12 -4.8837E-12  1.3659E-11  1.7554E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    8.977020    6.529870    0.226140    0.152143   -0.963217  2455456.047316
# Heliocentric elements and errors
Epoch:              2455450.5000  =  2010/09/11
Mean Anomaly:          359.13119 +/-     0.162
Argument of Peri:      151.45443 +/-     0.221
Long of Asc Node:      214.69939 +/-     0.001
Inclination:            17.90013 +/-     0.001
Eccentricity:         0.14675551 +/-    0.0001
Semi-Major Axis:     47.40601537 +/-    0.0066
Time of Perihelion: 2455738.2192 +/-      53.8
Perihelion:          40.44892144 +/-    0.0071
Aphelion:            54.36310930 +/-    0.0087
Period (y)              326.4062 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           39.74397231 +/-    0.0018
Ecliptic Y            4.32040612 +/-    0.0002
Ecliptic Z            6.16047741 +/-    0.0003
Ecliptic XDOT        -0.00019027 +/-    0.0000
Ecliptic YDOT         0.00278443 +/-    0.0000
Ecliptic ZDOT        -0.00077439 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.44997807 +/-    0.0018
Geocenter to KBO     39.48187048 +/-    0.0019
# Hcoef:  6.44

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.

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    -0.01       0.00     0.18
  2   1.0071   5134.71     0.12   -1501.67    -0.41
  3   1.0071   5133.48    -0.08   -1501.32    -0.04
  4   1.0071   5132.75     0.05   -1501.19     0.11
  5   2.0283   9885.74    -0.19   -3020.51    -0.02
  6   2.0286   9877.31     0.18   -3020.69     0.16
  7   2.0638   8911.53     0.11   -3086.11    -0.12
  8   2.0638   8910.30    -0.05   -3086.10    -0.04
  9   2.0639   8909.15    -0.13   -3086.20    -0.05
 10   2.0639   8908.19    -0.00   -3086.34    -0.11
 11   2.1347   7127.50     0.04   -3321.99     0.10
 12   2.1347   7126.66     0.06   -3322.19     0.05
 13   2.1348   7125.61    -0.12   -3322.22     0.17
 14   2.9841  16387.80    -0.02   -4488.45     0.11
 15   2.9841  16386.93     0.11   -4488.51     0.05
 16   2.9842  16386.77    -0.00   -4488.48     0.08
 17   2.9842  16385.49    -0.30   -4488.60    -0.05
 18   2.9842  16385.94     0.20   -4488.61    -0.05
 19   2.9842  16384.87     0.10   -4488.83    -0.27
 20   2.9842  16384.70    -0.02   -4488.48     0.08
 21   3.1071  13091.45    -0.22   -4711.70     0.20
 22   3.3585  11733.76     0.11   -5999.48    -0.44
 23   3.3585  11734.26     0.08   -5998.89     0.30

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        47.416    47.435    47.398
ecceobj         0.147     0.147     0.147
incobj         17.885    17.885    17.885
qmin           39.579    39.577    39.562
qmax           54.952    54.924    54.928
amean          47.094    47.112    47.076
amin           46.700    46.718    46.686
amax           47.543    47.568    47.521
emean           0.142     0.143     0.142
emin            0.130     0.130     0.129
emax            0.156     0.157     0.156
imean          18.624    18.623    18.625
imin           18.254    18.257    18.256
imax           18.959    18.959    18.967
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     181.5     181.2
kozaiamp        180.0     180.0     180.0