Orbit Fit and Astrometric record for 12WF37

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: 12WF37    
# Created Thu Dec  9 02:11:26 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     55 observations of     55
# Arc:   8.15y
# First observation: 2012/11/16
#  Last observation: 2021/01/11
# Chi-squared of fit:    17.20 DOF:    104 RMS:  0.10
# Min/Max residuals:    -0.28    0.41
# Exact a, adot, b, bdot, g, gdot:
  1.804448E-05  3.906170E-02 -6.001327E-06 -1.055209E-02  3.325387E-02 -8.746004E-03
# Covariance matrix:
  1.0893E-13 -5.5356E-14 -1.1598E-14  1.0741E-14  2.1335E-15 -1.3786E-13
 -5.5356E-14  4.4989E-14  1.1464E-14 -1.0594E-14 -1.6947E-14  1.3926E-13
 -1.1598E-14  1.1464E-14  7.0880E-14 -1.8881E-14 -5.2996E-15  4.0971E-14
  1.0741E-14 -1.0594E-14 -1.8881E-14  8.8290E-15  4.6316E-15 -3.7804E-14
  2.1335E-15 -1.6947E-14 -5.2996E-15  4.6316E-15  1.8497E-13 -1.0025E-13
 -1.3786E-13  1.3926E-13  4.0971E-14 -3.7804E-14 -1.0025E-13  5.0575E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.369808   31.012990   -0.384653   -0.194416   -0.886896  2456247.623695
# Heliocentric elements and errors
Epoch:              2456248.5000  =  2012/11/17
Mean Anomaly:          329.36901 +/-     0.005
Argument of Peri:      274.58203 +/-     0.008
Long of Asc Node:      173.60735 +/-     0.000
Inclination:            19.00602 +/-     0.000
Eccentricity:         0.29491902 +/-    0.0000
Semi-Major Axis:     39.66843358 +/-    0.0029
Time of Perihelion: 2464013.1971 +/-       9.1
Perihelion:          27.96945803 +/-    0.0024
Aphelion:            51.36740914 +/-    0.0039
Period (y)              249.8479 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           25.75587353 +/-    0.0003
Ecliptic Y           15.93452486 +/-    0.0002
Ecliptic Z           -6.44220568 +/-    0.0001
Ecliptic XDOT        -0.00242539 +/-    0.0000
Ecliptic YDOT         0.00229982 +/-    0.0000
Ecliptic ZDOT        -0.00069422 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.96422937 +/-    0.0003
Geocenter to KBO     30.07185429 +/-    0.0004
# Hcoef:  8.13

The following table shows the complete astrometric record for 12WF37. 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 (12WF37) followed by the observatory code and reference code for the source of the astrometry.

2012 11  16.122917 02 12 38.06   +00 12 32.1   24.1g 12WF37    W84  C~35bM      
2012 11  16.124282 02 12 38.04   +00 12 31.8   22.8r 12WF37    W84  C~35bM      
2012 11  16.142697 02 12 37.94   +00 12 31.4   23.9g 12WF37    W84  C~35bM      
2012 11  16.144063 02 12 37.94   +00 12 31.4   23.1r 12WF37    W84  C~35bM      
2012 12  06.122905 02 10 58.55   +00 06 23.3   23.0r 12WF37    W84  C~35bM      
2012 12  06.125637 02 10 58.54   +00 06 23.3   23.1r 12WF37    W84  C~35bM      
2012 12  06.128380 02 10 58.53   +00 06 23.3   23.2r 12WF37    W84  C~35bM      
2012 12  07.167037 02 10 54.14   +00 06 12.8   22.8i 12WF37    W84  C~35bM      
2012 12  07.170625 02 10 54.14   +00 06 12.4   22.2i 12WF37    W84  C~35bM      
2013 11  08.229572 02 22 45.55   +00 28 10.3   22.9r 12WF37    W84  C~35bM      
2013 11  08.23010  02 22 45.543  +00 28 10.31  22.9r 12WF37    W84  C~4yPO      
2013 11  08.23010  02 22 45.54   +00 28 10.3   23.1r 12WF37    W84  C~3cjt      
2013 11  08.24728  02 22 45.45   +00 28 09.7   22.8i 12WF37    W84  C~3cjt      
2013 11  08.25523  02 22 45.383  +00 28 09.42  23.7g 12WF37    W84  C~4yPO      
2013 11  08.25523  02 22 45.38   +00 28 09.4   23.7g 12WF37    W84  C~3cjt      
2013 11  08.25662  02 22 45.385  +00 28 09.42  22.9r 12WF37    W84  C~4yPO      
2013 11  08.25662  02 22 45.39   +00 28 09.4   23.0r 12WF37    W84  C~3cjt      
2013 11  13.14207  02 22 16.580  +00 25 44.53  22.4z 12WF37    W84  C~4yPO      
2013 11  13.14207  02 22 16.58   +00 25 44.5   22.5z 12WF37    W84  C~3cjt      
2013 12  01.19127  02 20 38.639  +00 19 09.02  23.6g 12WF37    W84  C~4yPO      
2013 12  01.19127  02 20 38.64   +00 19 09.0   23.7g 12WF37    W84  C~3cjt      
2013 12  21.12090  02 19 17.952  +00 16 45.34  22.9z 12WF37    W84  C~4yPO      
2014 09  24.29907  02 36 25.690  +01 10 14.99  24.2g 12WF37    W84  C~4yPO      
2014 09  24.29907  02 36 25.69   +01 10 15.0   24.2g 12WF37    W84  C~3cjt      
2014 10  21.30882  02 34 05.382  +00 50 56.79  22.9r 12WF37    W84  C~4yPO      
2014 10  21.30882  02 34 05.38   +00 50 56.8   23.0r 12WF37    W84  C~3cjt      
2014 10  21.311042 02 34 05.34   +00 50 56.6   23.6g 12WF37    W84  C~35bM      
2014 10  21.31157  02 34 05.356  +00 50 56.56  23.9g 12WF37    W84  C~4yPO      
2014 11  03.27510  02 32 47.163  +00 42 52.39  22.2z 12WF37    W84  C~4yPO      
2015 01  16.06930  02 27 50.305  +00 33 05.24  22.7z 12WF37    W84  C~4yPO      
2015 12  14.16575  02 38 39.131  +00 40 22.39  22.5i 12WF37    W84  C~4yPO      
2015 12  14.16575  02 38 39.13   +00 40 22.4   22.5i 12WF37    W84  C~3cjt      
2015 12  14.16712  02 38 39.122  +00 40 22.27  23.0r 12WF37    W84  C~4yPO      
2015 12  14.16712  02 38 39.12   +00 40 22.3   23.1r 12WF37    W84  C~3cjt      
2015 12  14.16849  02 38 39.113  +00 40 22.43  23.5g 12WF37    W84  C~4yPO      
2015 12  14.16849  02 38 39.12   +00 40 22.4   23.9g 12WF37    W84  C~3cjt      
2016 09  23.28735  02 55 49.569  +01 34 37.16  22.3i 12WF37    W84  C~4yPO      
2016 09  23.28735  02 55 49.57   +01 34 37.2   22.2i 12WF37    W84  C~3cjt      
2016 10  28.22715  02 52 48.540  +01 10 03.93  22.1i 12WF37    W84  C~4yPO      
2016 10  28.22715  02 52 48.54   +01 10 03.9   22.3i 12WF37    W84  C~3cjt      
2016 10  29.22407  02 52 42.435  +01 09 26.81  22.9r 12WF37    W84  C~4yPO      
2016 10  29.22407  02 52 42.43   +01 09 26.8   22.9r 12WF37    W84  C~3cjt      
2016 11  10.25462  02 51 27.716  +01 02 38.30  22.3z 12WF37    W84  C~4yPO      
2016 11  10.25462  02 51 27.71   +01 02 38.3   22.3z 12WF37    W84  C~3cjt      
2016 11  25.043866 02 49 57.82   +00 56 16.4   23.1r 12WF37    W84  C~35bM      
2016 11  25.045926 02 49 57.80   +00 56 16.3   22.7i 12WF37    W84  C~35bM      
2016 11  25.048576 02 49 57.79   +00 56 16.1   22.4z 12WF37    W84  C~35bM      
2016 11  25.051215 02 49 57.77   +00 56 16.2   22.4z 12WF37    W84  C~35bM      
2016 12  05.19069  02 49 01.249  +00 53 25.76  22.9r 12WF37    W84  C~4yPO      
2016 12  05.19069  02 49 01.25   +00 53 25.8   22.9r 12WF37    W84  C~3cjt      
2017 11  22.167025 03 00 11.11   +01 09 18.0   22.3z 12WF37    W84  C~35bM      
2017 11  22.16756  03 00 11.111  +01 09 17.92  22.3z 12WF37    W84  C~4yPO      
2021 01  11.137320 03 26 34.021  +01 41 48.55  22.9G 12WF37    G37  C~4U9C      
2021 01  11.203370 03 26 33.826  +01 41 49.57        12WF37    G37  C~4U9C      
2021 01  11.248530 03 26 33.691  +01 41 50.21        12WF37    G37  C~4U9C      

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     0.03       0.00     0.23
     2   0.0000      0.00    -0.15       0.00    -0.04
     3   0.0001      0.00    -0.08       0.00     0.04
     4   0.0001      0.00     0.03       0.00     0.07
     5   0.0548      0.00    -0.00       0.00     0.08
     6   0.0548      0.00     0.03       0.00     0.11
     7   0.0548      0.00     0.06       0.00     0.14
     8   0.0576      0.00    -0.18       0.00     0.41
     9   0.0576      0.00     0.05       0.00     0.04
    10   0.9777      0.00     0.04       0.00    -0.01
    11   0.9777      0.00    -0.06       0.00     0.01
    12   0.9777      0.00    -0.01       0.00     0.02
    13   0.9778      0.00     0.15       0.00    -0.06
    14   0.9778      0.00    -0.18       0.00    -0.11
    15   0.9778      0.00    -0.13       0.00    -0.09
    16   0.9778      0.00     0.10       0.00    -0.06
    17   0.9778      0.00     0.02       0.00    -0.04
    18   0.9912      0.00     0.08       0.00    -0.10
    19   0.9912      0.00     0.08       0.00    -0.07
    20   1.0406      0.00    -0.00       0.00    -0.16
    21   1.0406      0.00    -0.02       0.00    -0.14
    22   1.0951      0.00     0.04       0.00    -0.04
    23   1.8540      0.00    -0.00       0.00     0.06
    24   1.8540      0.00    -0.00       0.00     0.05
    25   1.9280      0.00     0.12       0.00    -0.02
    26   1.9280      0.00     0.15       0.00    -0.03
    27   1.9280      0.00    -0.28       0.00    -0.14
    28   1.9280      0.00     0.00       0.00    -0.15
    29   1.9635      0.00     0.01       0.00    -0.28
    30   2.1655      0.00     0.13       0.00     0.08
    31   3.0747      0.00     0.03       0.00     0.08
    32   3.0747      0.00     0.01       0.00     0.09
    33   3.0747      0.00    -0.04       0.00     0.00
    34   3.0747      0.00    -0.01       0.00    -0.03
    35   3.0747      0.00     0.05       0.00     0.11
    36   3.0747      0.00    -0.06       0.00     0.14
    37   3.8526      0.00     0.08       0.00     0.09
    38   3.8526      0.00     0.06       0.00     0.05
    39   3.9483      0.00     0.07       0.00    -0.05
    40   3.9483      0.00     0.07       0.00    -0.02
    41   3.9510      0.00    -0.07       0.00    -0.05
    42   3.9510      0.00     0.01       0.00    -0.04
    43   3.9839      0.00     0.00       0.00    -0.06
    44   3.9839      0.00     0.09       0.00    -0.06
    45   4.0244      0.00    -0.03       0.00    -0.00
    46   4.0244      0.00    -0.15       0.00    -0.06
    47   4.0244      0.00    -0.06       0.00    -0.21
    48   4.0244      0.00    -0.13       0.00    -0.05
    49   4.0522      0.00     0.05       0.00     0.04
    50   4.0522      0.00     0.03       0.00    -0.00
    51   5.0159      0.00     0.02       0.00     0.08
    52   5.0159      0.00     0.08       0.00     0.01
    53   8.1534      0.00     0.07       0.00     0.16
    54   8.1535      0.00    -0.00       0.00     0.09
    55   8.1537      0.00    -0.09       0.00    -0.01

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.

12WF37    quality flag:3

Type:           3:2E      3:2E      3:2E
Type:          6:4II     6:4II     6:4II

axisobj        39.751    39.751    39.752
ecceobj         0.294     0.294     0.294
incobj         18.970    18.970    18.970
qmin           27.642    27.642    27.642
qmax           51.574    51.573    51.575
amean          39.453    39.453    39.453
amin           39.044    39.042    39.048
amax           39.893    39.893    39.891
emean           0.252     0.252     0.252
emin            0.202     0.203     0.202
emax            0.297     0.297     0.297
imean          20.091    20.091    20.091
imin           18.218    18.218    18.218
imax           21.834    21.833    21.834
excite_mean     0.427     0.427     0.427
fracstop        1.000     1.000     1.000
cjmean          2.842     2.842     2.842

libcent 0       179.4     179.4     179.6
libamp  0        51.9      51.7      52.4
libcent 1       178.9     178.9     178.5
libamp  1       159.4     159.8     158.9
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       271.9     271.9     271.9
kozaiamp         39.7      39.7      39.7