Orbit Fit and Astrometric record for 12WD37

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: 12WD37    
# Created Fri Mar 29 01:14:43 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting    104 observations of    104
# Arc:  12.58y
# First observation: 2010/05/06
#  Last observation: 2022/12/02
# Chi-squared of fit:   121.68 DOF:    202 RMS:  0.19
# Min/Max residuals:    -0.56    1.07
# Exact a, adot, b, bdot, g, gdot:
  1.639079E-05  2.924356E-02  3.918544E-06  9.909831E-03  2.776896E-02 -5.843865E-05
# Covariance matrix:
  1.9957E-13 -4.6461E-14  4.0923E-14 -1.2162E-14 -4.7946E-14 -9.2187E-14
 -4.6461E-14  1.4543E-14 -1.1819E-14  4.2606E-15  5.5005E-15  3.0763E-14
  4.0923E-14 -1.1819E-14  8.3132E-14 -1.3728E-14 -1.4420E-14 -2.9582E-14
 -1.2162E-14  4.2606E-15 -1.3728E-14  3.0944E-15  1.8458E-15  1.0196E-14
 -4.7946E-14  5.5005E-15 -1.4420E-14  1.8458E-15  4.4118E-14  1.8990E-14
 -9.2187E-14  3.0763E-14 -2.9582E-14  1.0196E-14  1.8990E-14  7.4406E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   10.351675  110.751212   -0.919251   -0.075246    0.411730  2455322.763376
# Heliocentric elements and errors
Epoch:              2455322.5000  =  2010/05/06
Mean Anomaly:           10.94407 +/-     0.004
Argument of Peri:       16.41527 +/-     0.005
Long of Asc Node:       83.68734 +/-     0.000
Inclination:            21.13191 +/-     0.000
Eccentricity:         0.11504192 +/-    0.0000
Semi-Major Axis:     40.11631409 +/-    0.0014
Time of Perihelion: 2452501.1552 +/-       1.1
Perihelion:          35.50125641 +/-    0.0016
Aphelion:            44.73137176 +/-    0.0019
Period (y)              254.0913 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -13.25937928 +/-    0.0001
Ecliptic Y           32.40763190 +/-    0.0002
Ecliptic Z            6.47104124 +/-    0.0001
Ecliptic XDOT        -0.00263021 +/-    0.0000
Ecliptic YDOT        -0.00118508 +/-    0.0000
Ecliptic ZDOT         0.00096007 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   35.60813120 +/-    0.0002
Geocenter to KBO     36.01147073 +/-    0.0003
# Hcoef:  6.81

The following table shows the complete astrometric record for 12WD37. 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 (12WD37) followed by the observatory code and reference code for the source of the astrometry.

2010 05  06.26261  07 37 08.109  +32 03 29.39  23.2G 12WD37    F51  C~3464      
2010 05  09.24170  07 37 21.159  +32 02 29.69  22.9G 12WD37    F51  C~3464      
2010 05  10.25409  07 37 25.810  +32 02 09.75  22.6G 12WD37    F51  C~3464      
2010 05  10.26190  07 37 25.844  +32 02 09.62  22.2G 12WD37    F51  C~3464      
2011 11  10.58465  08 03 43.471  +32 05 00.40  22.1G 12WD37    F51  C~3464      
2011 11  10.59639  08 03 43.414  +32 05 01.27  21.5G 12WD37    F51  C~3464      
2012 01  28.45916  07 57 13.342  +32 41 24.66  22.3G 12WD37    F51  C~3464      
2012 01  28.47324  07 57 13.233  +32 41 24.75  22.1G 12WD37    F51  C~3464      
2012 01  28.48718  07 57 13.153  +32 41 25.22  22.2G 12WD37    F51  C~3464      
2012 01  28.50112  07 57 13.055  +32 41 25.34  21.8G 12WD37    F51  C~3464      
2012 11  28.53639  08 11 31.532  +32 23 58.28  22.4G 12WD37    F51  C~3464      
2012 11  28.53780  08 11 31.507  +32 23 58.56  21.9G 12WD37    F51  C~3464      
2012 11  28.55026  08 11 31.516  +32 23 58.89  23.2G 12WD37    F51  C~3464      
2012 11  28.55167  08 11 31.481  +32 23 58.91  22.8G 12WD37    F51  C~3464      
2012 12  22.53236  08 09 43.167  +32 36 49.04  22.2G 12WD37    F51  C~3464      
2012 12  22.54648  08 09 43.083  +32 36 49.40  22.1G 12WD37    F51  C~3464      
2012 12  22.56057  08 09 43.030  +32 36 50.03  21.9G 12WD37    F51  C~3464      
2012 12  22.57455  08 09 42.935  +32 36 50.26  22.3G 12WD37    F51  C~3464      
2013 02  01.45435  08 05 22.970  +32 54 04.16  22.1G 12WD37    F51  C~3464      
2013 02  01.46749  08 05 22.882  +32 54 03.97  22.4G 12WD37    F51  C~3464      
2014 01  19.46293  08 15 31.549  +32 58 21.46  22.1G 12WD37    F51  C~3464      
2014 01  19.47594  08 15 31.442  +32 58 21.94  22.1G 12WD37    F51  C~3464      
2014 11  21.51939  08 28 56.480  +32 32 39.06  22.4G 12WD37    F51  C~3464      
2014 11  21.53332  08 28 56.457  +32 32 39.31  22.0G 12WD37    F51  C~3464      
2014 11  21.54723  08 28 56.424  +32 32 39.91  22.2G 12WD37    F51  C~3464      
2014 11  21.56112  08 28 56.396  +32 32 40.28  22.0G 12WD37    F51  C~3464      
2015 01  24.38151  08 23 42.943  +33 06 50.38  22.1G 12WD37    F51  C~3464      
2015 01  24.39315  08 23 42.876  +33 06 50.06  21.9G 12WD37    F51  C~3464      
2015 01  24.40476  08 23 42.809  +33 06 50.83  21.9G 12WD37    F51  C~3464      
2015 01  24.41643  08 23 42.724  +33 06 50.94  21.7G 12WD37    F51  C~3464      
2015 01  27.51609  08 23 22.331  +33 08 04.50  22.1G 12WD37    F51  C~3465      
2015 01  27.52774  08 23 22.243  +33 08 04.72  22.2G 12WD37    F51  C~3465      
2015 01  27.53935  08 23 22.149  +33 08 05.14  22.2G 12WD37    F51  C~3465      
2015 01  27.55103  08 23 22.080  +33 08 05.33  22.0G 12WD37    F51  C~3465      
2015 02  13.28745  08 21 35.425  +33 13 17.09  22.5G 12WD37    F51  C~3465      
2015 02  13.30077  08 21 35.350  +33 13 17.72  22.4G 12WD37    F51  C~3465      
2015 02  13.31419  08 21 35.298  +33 13 17.38  22.2G 12WD37    F51  C~3465      
2015 02  13.32756  08 21 35.175  +33 13 17.90  22.5G 12WD37    F51  C~3465      
2015 02  23.26042  08 20 37.886  +33 15 09.27  22.1G 12WD37    F51  C~3465      
2015 03  24.36964  08 18 38.955  +33 15 06.12  22.6G 12WD37    F51  C~3465      
2015 03  24.38226  08 18 38.946  +33 15 06.07  21.7G 12WD37    F51  C~3465      
2015 03  24.39480  08 18 38.905  +33 15 05.80  22.4G 12WD37    F51  C~3465      
2015 03  24.40736  08 18 38.862  +33 15 05.89  21.8G 12WD37    F51  C~3465      
2015 04  02.33019  08 18 21.394  +33 13 31.04  22.5G 12WD37    F51  C~3465      
2016 02  04.31234  08 31 15.101  +33 15 26.30  22.4G 12WD37    F51  C~3465      
2016 02  04.32442  08 31 15.062  +33 15 26.17  22.1G 12WD37    F51  C~3465      
2016 02  04.33654  08 31 14.971  +33 15 26.47  21.9G 12WD37    F51  C~3465      
2016 02  04.34867  08 31 14.892  +33 15 26.62  22.1G 12WD37    F51  C~3465      
2016 02  04.38893  08 31 14.636  +33 15 27.44  22.1G 12WD37    F51  C~3465      
2016 02  04.40066  08 31 14.559  +33 15 27.76  22.1G 12WD37    F51  C~3465      
2016 02  04.41242  08 31 14.476  +33 15 28.13  22.4G 12WD37    F51  C~3465      
2016 02  04.42418  08 31 14.395  +33 15 28.28  22.1G 12WD37    F51  C~3465      
2016 03  04.24059  08 28 27.913  +33 21 26.32  22.2G 12WD37    F51  C~3465      
2016 03  04.25290  08 28 27.864  +33 21 26.35  22.0G 12WD37    F51  C~3465      
2016 03  04.26527  08 28 27.802  +33 21 26.30  22.2G 12WD37    F51  C~3465      
2016 03  04.27771  08 28 27.743  +33 21 26.46  22.1G 12WD37    F51  C~3465      
2016 03  11.25023  08 27 56.769  +33 21 37.66  22.8G 12WD37    F51  C~3465      
2016 03  11.26190  08 27 56.638  +33 21 37.12  22.1G 12WD37    F51  C~3465      
2016 03  13.24141  08 27 48.727  +33 21 35.18  22.6G 12WD37    F51  C~3465      
2016 03  13.25298  08 27 48.666  +33 21 35.32  22.1G 12WD37    F51  C~3465      
2016 03  13.26453  08 27 48.619  +33 21 35.13  22.2G 12WD37    F51  C~3465      
2016 03  13.27616  08 27 48.572  +33 21 35.08  22.4G 12WD37    F51  C~3465      
2017 01  16.52924  08 41 53.081  +33 09 50.14  21.9G 12WD37    F51  C~3465      
2017 01  16.52988  08 41 53.038  +33 09 50.31  21.0G 12WD37    F51  C~3465      
2017 01  16.54088  08 41 52.962  +33 09 50.65  22.2G 12WD37    F51  C~3465      
2017 01  16.54152  08 41 52.990  +33 09 50.55  22.0G 12WD37    F51  C~3465      
2017 01  16.55257  08 41 52.887  +33 09 50.84  22.2G 12WD37    F51  C~3465      
2017 01  16.55321  08 41 52.865  +33 09 51.09  21.8G 12WD37    F51  C~3465      
2017 01  29.35229  08 40 30.026  +33 15 51.13  21.9G 12WD37    F51  C~3465      
2017 01  29.36434  08 40 29.925  +33 15 51.33  22.4G 12WD37    F51  C~3465      
2017 01  29.37634  08 40 29.845  +33 15 51.83  22.1G 12WD37    F51  C~3465      
2017 01  29.38834  08 40 29.768  +33 15 52.09  21.7G 12WD37    F51  C~3465      
2017 02  14.42945  08 38 47.388  +33 21 25.85  22.1G 12WD37    F51  C~3465      
2017 02  14.44218  08 38 47.338  +33 21 26.14  21.9G 12WD37    F51  C~3465      
2017 02  14.45488  08 38 47.241  +33 21 26.43  22.2G 12WD37    F51  C~3465      
2017 02  14.46766  08 38 47.163  +33 21 26.60  22.7G 12WD37    F51  C~3465      
2017 02  21.29434  08 38 06.545  +33 23 03.26  22.4G 12WD37    F51  C~3465      
2017 02  21.30598  08 38 06.466  +33 23 03.48  22.3G 12WD37    F51  C~3465      
2017 02  21.31773  08 38 06.391  +33 23 03.50  22.2G 12WD37    F51  C~3465      
2017 02  21.32956  08 38 06.332  +33 23 03.59  22.5G 12WD37    F51  C~3465      
2017 10  07.61385  08 53 01.412  +32 18 21.02  22.1G 12WD37    F51  C~3465      
2017 11  21.53775  08 54 22.810  +32 35 41.31  22.4G 12WD37    F51  C~3465      
2017 11  21.57219  08 54 22.742  +32 35 42.64  21.5G 12WD37    F51  C~3465      
2017 12  13.47420  08 53 29.490  +32 48 50.37  22.5G 12WD37    F51  C~3465      
2017 12  13.48614  08 53 29.462  +32 48 50.96  22.6G 12WD37    F51  C~3465      
2017 12  13.49807  08 53 29.403  +32 48 51.46  22.4G 12WD37    F51  C~3465      
2017 12  13.51005  08 53 29.354  +32 48 51.94  22.4G 12WD37    F51  C~3465      
2018 01  11.56178  08 51 03.650  +33 06 44.04  22.3G 12WD37    F51  C~3465      
2018 01  11.57343  08 51 03.574  +33 06 44.52  22.1G 12WD37    F51  C~3465      
2018 01  11.58507  08 51 03.507  +33 06 44.87  22.2G 12WD37    F51  C~3465      
2018 01  11.59670  08 51 03.437  +33 06 45.18  22.3G 12WD37    F51  C~3465      
2018 01  13.43936  08 50 52.222  +33 07 47.68  22.4G 12WD37    F51  C~3465      
2018 02  13.28032  08 47 35.206  +33 21 35.63  22.0G 12WD37    F51  C~3465      
2018 02  13.29175  08 47 35.143  +33 21 36.10  22.5G 12WD37    F51  C~3465      
2020 12  24.48257  09 18 08.624  +32 40 53.56  21.9i 12WD37    F51  C~4Ngw      
2020 12  24.49431  09 18 08.556  +32 40 53.78  21.7i 12WD37    F51  C~4Ngw      
2020 12  24.50609  09 18 08.504  +32 40 54.34  21.6i 12WD37    F51  C~4Ngw      
2020 12  24.51809  09 18 08.448  +32 40 54.94  21.6i 12WD37    F51  C~4Ngw      
2022 03  02.141360 09 20 05.117  +33 07 32.24  22.2G 12WD37    G37  C~5Rxa      
2022 03  02.181500 09 20 04.885  +33 07 32.91        12WD37    G37  C~5Rxa      
2022 03  02.222020 09 20 04.643  +33 07 33.45        12WD37    G37  C~5Rxa      
2022 12  02.550343 09 35 43.401  +32 05 23.06  22.1w 12WD37    F52  C~674E      
2022 12  02.561763 09 35 43.376  +32 05 23.43  22.1w 12WD37    F52  C~674E      
2022 12  02.573150 09 35 43.360  +32 05 24.08  22.1w 12WD37    F52  C~674E      

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     0.13       0.00     0.34
     2   0.0082      0.00     0.06       0.00    -0.37
     3   0.0109      0.00    -0.11       0.00    -0.03
     4   0.0109      0.00    -0.14       0.00     0.00
     5   1.5149      0.00     0.31       0.00    -0.09
     6   1.5149      0.00    -0.31       0.00     0.45
     7   1.7309      0.00     0.05       0.00    -0.03
     8   1.7309      0.00    -0.18       0.00    -0.19
     9   1.7309      0.00     0.00       0.00     0.04
    10   1.7310      0.00    -0.08       0.00    -0.08
    11   2.5661      0.00     0.06       0.00     0.17
    12   2.5661      0.00    -0.25       0.00     0.40
    13   2.5662      0.00     0.52       0.00     0.33
    14   2.5662      0.00     0.07       0.00     0.31
    15   2.6318      0.00    -0.06       0.00    -0.03
    16   2.6319      0.00    -0.11       0.00    -0.11
    17   2.6319      0.00     0.29       0.00     0.09
    18   2.6319      0.00     0.06       0.00    -0.12
    19   2.7439      0.00    -0.18       0.00     0.19
    20   2.7439      0.00    -0.22       0.00    -0.22
    21   3.7076      0.00     0.17       0.00    -0.03
    22   3.7076      0.00    -0.12       0.00     0.13
    23   4.5455      0.00     0.02       0.00     0.11
    24   4.5456      0.00     0.08       0.00    -0.10
    25   4.5456      0.00    -0.00       0.00     0.05
    26   4.5456      0.00    -0.01       0.00    -0.03
    27   4.7204      0.00    -0.19       0.00     0.05
    28   4.7204      0.00    -0.02       0.00    -0.56
    29   4.7204      0.00     0.14       0.00    -0.07
    30   4.7205      0.00     0.04       0.00    -0.25
    31   4.7290      0.00     0.20       0.00    -0.06
    32   4.7290      0.00     0.05       0.00    -0.10
    33   4.7290      0.00    -0.20       0.00     0.06
    34   4.7291      0.00    -0.07       0.00    -0.01
    35   4.7749      0.00    -0.16       0.00    -0.27
    36   4.7749      0.00    -0.05       0.00     0.16
    37   4.7750      0.00     0.41       0.00    -0.37
    38   4.7750      0.00    -0.20       0.00    -0.04
    39   4.8022      0.00    -0.42       0.00    -0.21
    40   4.8819      0.00    -0.29       0.00     0.13
    41   4.8819      0.00     0.07       0.00     0.20
    42   4.8819      0.00    -0.06       0.00     0.04
    43   4.8820      0.00    -0.21       0.00     0.24
    44   4.9064      0.00     0.40       0.00     0.10
    45   5.7496      0.00    -0.45       0.00     0.43
    46   5.7497      0.00     0.15       0.00     0.04
    47   5.7497      0.00    -0.02       0.00     0.08
    48   5.7497      0.00    -0.01       0.00    -0.02
    49   5.7498      0.00     0.12       0.00    -0.05
    50   5.7499      0.00     0.12       0.00     0.02
    51   5.7499      0.00     0.04       0.00     0.15
    52   5.7499      0.00    -0.02       0.00     0.06
    53   5.8288      0.00    -0.25       0.00     0.09
    54   5.8289      0.00    -0.08       0.00     0.07
    55   5.8289      0.00    -0.10       0.00    -0.03
    56   5.8289      0.00    -0.08       0.00     0.08
    57   5.8480      0.00     1.07       0.00     0.15
    58   5.8480      0.00    -0.15       0.00    -0.39
    59   5.8535      0.00     0.17       0.00    -0.08
    60   5.8535      0.00    -0.05       0.00     0.08
    61   5.8535      0.00    -0.06       0.00    -0.10
    62   5.8536      0.00    -0.06       0.00    -0.13
    63   6.7003      0.00     0.61       0.00    -0.14
    64   6.7003      0.00     0.03       0.00     0.01
    65   6.7003      0.00    -0.04       0.00     0.01
    66   6.7003      0.00     0.44       0.00    -0.11
    67   6.7003      0.00    -0.04       0.00    -0.15
    68   6.7003      0.00    -0.30       0.00     0.08
    69   6.7354      0.00     0.21       0.00    -0.08
    70   6.7354      0.00    -0.10       0.00    -0.18
    71   6.7354      0.00    -0.11       0.00     0.01
    72   6.7355      0.00    -0.07       0.00    -0.03
    73   6.7794      0.00    -0.29       0.00    -0.24
    74   6.7794      0.00     0.15       0.00    -0.15
    75   6.7794      0.00    -0.12       0.00    -0.06
    76   6.7795      0.00    -0.09       0.00    -0.10
    77   6.7982      0.00     0.06       0.00    -0.02
    78   6.7982      0.00    -0.10       0.00     0.06
    79   6.7982      0.00    -0.19       0.00    -0.07
    80   6.7983      0.00    -0.03       0.00    -0.12
    81   7.4233      0.00     0.03       0.00     0.29
    82   7.5463      0.00    -0.00       0.00    -0.04
    83   7.5464      0.00    -0.41       0.00     0.13
    84   7.6063      0.00    -0.05       0.00    -0.21
    85   7.6064      0.00     0.21       0.00    -0.07
    86   7.6064      0.00     0.01       0.00    -0.03
    87   7.6064      0.00    -0.04       0.00    -0.01
    88   7.6860      0.00     0.02       0.00    -0.02
    89   7.6860      0.00    -0.04       0.00     0.07
    90   7.6860      0.00     0.02       0.00     0.02
    91   7.6861      0.00     0.04       0.00    -0.06
    92   7.6911      0.00    -0.31       0.00    -0.09
    93   7.7755      0.00     0.00       0.00    -0.20
    94   7.7756      0.00     0.14       0.00     0.05
    95  10.6372      0.00     0.26       0.00     0.25
    96  10.6372      0.00    -0.01       0.00    -0.01
    97  10.6372      0.00    -0.03       0.00     0.07
    98  10.6372      0.00    -0.10       0.00     0.18
    99  11.8217      0.00    -0.01       0.00    -0.00
   100  11.8218      0.00    -0.01       0.00     0.09
   101  11.8219      0.00    -0.12       0.00     0.07
   102  12.5757      0.00     0.21       0.00    -0.00
   103  12.5758      0.00     0.04       0.00    -0.06
   104  12.5758      0.00     0.00       0.00     0.17

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.

12WD37    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.400    40.400    40.400
ecceobj         0.121     0.121     0.121
incobj         21.087    21.087    21.087
qmin           34.485    34.463    34.608
qmax           46.322    46.294    46.199
amean          40.246    40.235    40.248
amin           39.890    39.874    39.892
amax           40.613    40.605    40.609
emean           0.122     0.120     0.122
emin            0.104     0.103     0.108
emax            0.141     0.140     0.139
imean          19.042    19.036    19.073
imin           18.102    18.070    18.143
imax           20.016    20.120    20.057
excite_mean     0.348     0.348     0.349
fracstop        1.000     1.000     1.000
cjmean          2.919     2.919     2.918

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       173.6     180.0     172.7
kozaiamp        179.9     180.0     180.0