Orbit Fit and Astrometric record for 11WJ157

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: 11WJ157   
# Created Sat Dec  4 02:11:24 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     86 observations of     86
# Arc:  11.71y
# First observation: 2010/02/26
#  Last observation: 2021/11/10
# Chi-squared of fit:    32.00 DOF:    166 RMS:  0.11
# Min/Max residuals:    -0.26    0.55
# Exact a, adot, b, bdot, g, gdot:
  1.600438E-05  2.395214E-02  8.304813E-06  1.218198E-02  2.358425E-02 -9.233903E-03
# Covariance matrix:
  3.3587E-13 -9.1110E-14  1.0274E-13 -4.1394E-14 -1.0276E-13 -2.1935E-13
 -9.1110E-14  3.0948E-14 -3.4777E-14  1.4383E-14  1.9842E-14  7.5592E-14
  1.0274E-13 -3.4777E-14  1.0052E-13 -2.3416E-14 -2.8818E-14 -8.8472E-14
 -4.1394E-14  1.4383E-14 -2.3416E-14  7.8896E-15  1.0573E-14  3.6410E-14
 -1.0276E-13  1.9842E-14 -2.8818E-14  1.0573E-14  7.0606E-14  5.7782E-14
 -2.1935E-13  7.5592E-14 -8.8472E-14  3.6410E-14  5.7782E-14  1.9165E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    5.190533   85.346381   -0.946558    0.027660   -0.304542  2455253.860306
# Heliocentric elements and errors
Epoch:              2455254.5000  =  2010/02/27
Mean Anomaly:          350.49064 +/-     0.002
Argument of Peri:       58.60747 +/-     0.002
Long of Asc Node:       76.47016 +/-     0.000
Inclination:            27.10753 +/-     0.000
Eccentricity:         0.62012973 +/-    0.0000
Semi-Major Axis:     98.62475988 +/-    0.0130
Time of Perihelion: 2464704.3753 +/-      68.7
Perihelion:          37.46461431 +/-    0.0067
Aphelion:           159.78490546 +/-    0.0215
Period (y)              979.4610 +/-      0.19
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            2.51056784 +/-    0.0000
Ecliptic Y           42.46709204 +/-    0.0005
Ecliptic Z            3.83629755 +/-    0.0000
Ecliptic XDOT        -0.00286594 +/-    0.0000
Ecliptic YDOT        -0.00096017 +/-    0.0000
Ecliptic ZDOT         0.00131135 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.71410776 +/-    0.0005
Geocenter to KBO     42.40147616 +/-    0.0005
# Hcoef:  4.82

The following table shows the complete astrometric record for 11WJ157. 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 (11WJ157) followed by the observatory code and reference code for the source of the astrometry.

2010 02  26.35954  05 38 53.400  +28 32 40.60  21.9G 11WJ157   F51  C~2jh4      
2010 12  17.40678  05 49 56.870  +29 15 56.72  20.7i 11WJ157   F51  C~1w3o      
2011 09  07.59773  06 00 23.240  +29 37 03.30  21.4r 11WJ157   F51  C~1w3o      
2011 09  09.59819  06 00 28.440  +29 37 34.27  21.3r 11WJ157   F51  C~1w3o      
2011 11  25.55539  05 58 31.592  +29 56 36.33  21.7g 11WJ157   F51  C~1w3o      
2011 11  25.58591  05 58 31.444  +29 56 36.59  20.9r 11WJ157   F51  C~1w3o      
2011 11  25.60054  05 58 31.377  +29 56 36.81  21.0r 11WJ157   F51  C~1w3o      
2011 12  23.37382  05 56 00.844  +30 00 42.25  21.5r 11WJ157   F51  C~1w3o      
2011 12  23.38579  05 56 00.772  +30 00 42.16  21.3r 11WJ157   F51  C~1w3o      
2012 01  03.33066  05 54 59.620  +30 01 39.38  20.6i 11WJ157   F51  C~1w3o      
2012 01  03.34352  05 54 59.549  +30 01 39.40  20.7i 11WJ157   F51  C~1w3o      
2012 02  09.36853  05 52 12.813  +30 02 24.19  21.4G 11WJ157   F51  C~2jh4      
2012 02  09.38053  05 52 12.787  +30 02 24.21  21.2G 11WJ157   F51  C~2jh4      
2012 02  11.22310  05 52 07.197  +30 02 21.74  22.1G 11WJ157   F51  C~2jh4      
2012 02  11.22615  05 52 07.201  +30 02 21.78  21.0G 11WJ157   F51  C~2jh4      
2012 10  27.62571  06 07 09.211  +30 32 39.58  21.3G 11WJ157   F51  C~2jh4      
2012 10  27.63748  06 07 09.184  +30 32 39.86  21.4G 11WJ157   F51  C~2jh4      
2012 12  22.48527  06 02 50.623  +30 44 23.94  20.9r 11WJ157   F51  C~1w3o      
2012 12  22.49771  06 02 50.569  +30 44 24.20  20.7r 11WJ157   F51  C~1w3o      
2012 12  31.48780  06 01 59.348  +30 45 22.70  20.5i 11WJ157   F51  C~1w3o      
2012 12  31.49918  06 01 59.287  +30 45 22.95  20.7i 11WJ157   F51  C~1w3o      
2013 01  08.34764  06 01 15.852  +30 46 00.09  21.8g 11WJ157   F51  C~1w3o      
2013 01  17.42488  06 00 28.547  +30 46 27.48  21.2G 11WJ157   F51  C~2jh4      
2013 01  17.43743  06 00 28.491  +30 46 27.81  21.1G 11WJ157   F51  C~2jh4      
2013 11  25.52996  06 12 21.856  +31 22 07.87  20.8i 11WJ157   F51  C~1w3o      
2013 11  25.53062  06 12 21.859  +31 22 07.99  20.7i 11WJ157   F51  C~1w3o      
2013 11  25.54282  06 12 21.795  +31 22 08.22  20.6i 11WJ157   F51  C~1w3o      
2013 11  25.54348  06 12 21.795  +31 22 08.19  20.7i 11WJ157   F51  C~1w3o      
2013 11  27.58126  06 12 11.733  +31 22 37.38  21.0r 11WJ157   F51  C~1w3o      
2013 11  27.59089  06 12 11.677  +31 22 37.43  20.9r 11WJ157   F51  C~1w3o      
2013 11  27.60093  06 12 11.620  +31 22 37.52  20.8i 11WJ157   F51  C~1w3o      
2013 11  27.61132  06 12 11.570  +31 22 37.73  20.8i 11WJ157   F51  C~1w3o      
2013 11  28.50547  06 12 07.118  +31 22 50.08  20.0G 11WJ157   F51  C~2jh4      
2013 11  28.55315  06 12 06.840  +31 22 51.02  20.9r 11WJ157   F51  C~1w3o      
2015 01  14.42057  06 14 59.742  +32 12 30.55  20.8G 11WJ157   F51  C~2jh4      
2015 01  14.43347  06 14 59.674  +32 12 30.62  20.9G 11WJ157   F51  C~2jh4      
2015 01  14.44643  06 14 59.600  +32 12 30.69  20.9G 11WJ157   F51  C~2jh4      
2015 01  14.45924  06 14 59.532  +32 12 30.75  20.9G 11WJ157   F51  C~2jh4      
2015 01  16.43137  06 14 48.882  +32 12 38.91  20.9G 11WJ157   F51  C~2jh4      
2015 01  16.44299  06 14 48.813  +32 12 38.90  20.8G 11WJ157   F51  C~2jh4      
2015 01  16.45467  06 14 48.749  +32 12 38.98  20.6G 11WJ157   F51  C~2jh4      
2015 01  16.46619  06 14 48.684  +32 12 38.97  20.6G 11WJ157   F51  C~2jh4      
2015 01  23.27946  06 14 13.473  +32 12 59.63  21.0G 11WJ157   F51  C~2jh4      
2015 01  23.28012  06 14 13.465  +32 12 59.60  20.9G 11WJ157   F51  C~2jh4      
2015 01  23.29346  06 14 13.396  +32 12 59.62  21.0G 11WJ157   F51  C~2jh4      
2015 01  23.30743  06 14 13.331  +32 12 59.68  20.9G 11WJ157   F51  C~2jh4      
2015 01  23.30810  06 14 13.328  +32 12 59.69  20.7G 11WJ157   F51  C~2jh4      
2015 01  23.32147  06 14 13.254  +32 12 59.68  21.0G 11WJ157   F51  C~2jh4      
2015 12  18.36909  06 25 06.559  +32 50 09.39  21.0G 11WJ157   F51  C~2jh4      
2016 02  22.35921  06 19 40.826  +32 54 32.64  20.7G 11WJ157   F51  C~2jh5      
2020 02  01.34202  06 52 52.303  +35 31 42.66  20.4i 11WJ157   F51  C~3ci7      
2020 02  01.34801  06 52 52.268  +35 31 42.54  20.5i 11WJ157   F51  C~3ci7      
2020 02  01.35397  06 52 52.226  +35 31 42.68  20.3i 11WJ157   F51  C~3ci7      
2020 10  18.59074  07 09 14.698  +35 29 36.58  20.9w 11WJ157   F52  C~49o1      
2020 10  18.60095  07 09 14.701  +35 29 36.99  21.0w 11WJ157   F52  C~49o1      
2020 10  18.62140  07 09 14.718  +35 29 37.30  21.0w 11WJ157   F52  C~49o1      
2020 10  25.59391  07 09 12.154  +35 32 50.20  21.1w 11WJ157   F52  C~4J1l      
2020 10  25.60419  07 09 12.156  +35 32 50.64  21.0w 11WJ157   F52  C~4J1m      
2020 10  25.61455  07 09 12.145  +35 32 50.92  21.1w 11WJ157   F52  C~4J1m      
2020 10  25.62491  07 09 12.153  +35 32 51.12  21.0w 11WJ157   F52  C~4J1m      
2020 11  13.49098  07 08 35.668  +35 41 48.92  20.7w 11WJ157   F52  C~4KuS      
2020 11  13.49161  07 08 35.623  +35 41 49.05  20.6w 11WJ157   F52  C~4KuS      
2020 11  13.50250  07 08 35.609  +35 41 49.12  20.8w 11WJ157   F52  C~4KuS      
2020 11  13.50313  07 08 35.583  +35 41 49.21  20.8w 11WJ157   F52  C~4KuS      
2020 11  13.51405  07 08 35.558  +35 41 49.30  20.8w 11WJ157   F52  C~4KuS      
2020 11  13.51469  07 08 35.576  +35 41 49.29  20.7w 11WJ157   F52  C~4KuS      
2020 11  13.52563  07 08 35.509  +35 41 49.87  20.8w 11WJ157   F52  C~4KuS      
2020 11  13.52626  07 08 35.515  +35 41 49.79  20.6w 11WJ157   F52  C~4KuS      
2020 12  09.401330 07 06 44.593  +35 53 28.32  20.9G 11WJ157   G37  C~4U81      
2020 12  09.449940 07 06 44.320  +35 53 29.48        11WJ157   G37  C~4U81      
2020 12  09.497820 07 06 44.062  +35 53 30.67        11WJ157   G37  C~4U81      
2020 12  12.48411  07 06 27.787  +35 54 42.98  20.8w 11WJ157   F51  C~4NeO      
2020 12  12.49548  07 06 27.721  +35 54 43.19  20.8w 11WJ157   F51  C~4NeO      
2020 12  12.50687  07 06 27.659  +35 54 43.60  20.8w 11WJ157   F51  C~4NeO      
2020 12  12.51830  07 06 27.595  +35 54 43.82  20.7w 11WJ157   F51  C~4NeO      
2021 01  07.45949  07 03 50.802  +36 03 09.68  20.7w 11WJ157   F52  C~4U81      
2021 01  07.47040  07 03 50.745  +36 03 09.82  20.5w 11WJ157   F52  C~4U81      
2021 01  07.48129  07 03 50.670  +36 03 10.10  20.7w 11WJ157   F52  C~4U81      
2021 01  15.39476  07 03 01.471  +36 04 52.98  20.8w 11WJ157   F51  C~4U81      
2021 01  15.40616  07 03 01.401  +36 04 53.05  20.7w 11WJ157   F51  C~4U81      
2021 01  15.41757  07 03 01.320  +36 04 53.26  20.7w 11WJ157   F51  C~4U81      
2021 01  15.42909  07 03 01.249  +36 04 53.32  20.7w 11WJ157   F51  C~4U81      
2021 11  10.594178 07 17 31.248  +36 11 12.36  20.8w 11WJ157   F52  C~5BMC      
2021 11  10.605700 07 17 31.211  +36 11 12.74  20.8w 11WJ157   F52  C~5BMC      
2021 11  10.617275 07 17 31.182  +36 11 13.16  20.9w 11WJ157   F52  C~5BMC      
2021 11  10.628816 07 17 31.159  +36 11 13.38  20.7w 11WJ157   F52  C~5BMC      

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    -0.03
     2   0.8051      0.00    -0.21       0.00     0.14
     3   1.5284      0.00    -0.10       0.00     0.17
     4   1.5338      0.00     0.15       0.00     0.11
     5   1.7445      0.00    -0.09       0.00     0.10
     6   1.7446      0.00    -0.02       0.00     0.02
     7   1.7447      0.00     0.07       0.00     0.08
     8   1.8207      0.00    -0.12       0.00     0.02
     9   1.8207      0.00    -0.17       0.00    -0.15
    10   1.8507      0.00     0.05       0.00     0.00
    11   1.8507      0.00     0.05       0.00    -0.04
    12   1.9521      0.00    -0.06       0.00    -0.05
    13   1.9521      0.00     0.12       0.00    -0.01
    14   1.9572      0.00    -0.10       0.00    -0.08
    15   1.9572      0.00     0.10       0.00    -0.03
    16   2.6674      0.00    -0.08       0.00    -0.01
    17   2.6674      0.00    -0.01       0.00     0.08
    18   2.8203      0.00    -0.08       0.00    -0.07
    19   2.8204      0.00     0.19       0.00     0.10
    20   2.8450      0.00    -0.01       0.00    -0.06
    21   2.8450      0.00     0.05       0.00     0.13
    22   2.8665      0.00    -0.12       0.00    -0.07
    23   2.8913      0.00    -0.05       0.00    -0.19
    24   2.8914      0.00     0.06       0.00     0.12
    25   3.7458      0.00    -0.07       0.00    -0.04
    26   3.7458      0.00     0.03       0.00     0.07
    27   3.7459      0.00    -0.02       0.00     0.13
    28   3.7459      0.00     0.02       0.00     0.09
    29   3.7515      0.00     0.09       0.00     0.09
    30   3.7515      0.00    -0.02       0.00     0.01
    31   3.7515      0.00    -0.11       0.00    -0.04
    32   3.7515      0.00    -0.07       0.00     0.03
    33   3.7540      0.00     0.43       0.00    -0.21
    34   3.7541      0.00    -0.05       0.00     0.07
    35   4.8818      0.00    -0.02       0.00    -0.07
    36   4.8818      0.00     0.03       0.00    -0.05
    37   4.8818      0.00    -0.00       0.00    -0.04
    38   4.8819      0.00     0.04       0.00    -0.03
    39   4.8873      0.00     0.03       0.00    -0.03
    40   4.8873      0.00    -0.05       0.00    -0.08
    41   4.8873      0.00    -0.06       0.00    -0.04
    42   4.8874      0.00    -0.09       0.00    -0.09
    43   4.9060      0.00     0.05       0.00     0.01
    44   4.9060      0.00    -0.02       0.00    -0.03
    45   4.9060      0.00    -0.04       0.00    -0.04
    46   4.9061      0.00     0.05       0.00    -0.01
    47   4.9061      0.00     0.05       0.00    -0.00
    48   4.9061      0.00    -0.04       0.00    -0.04
    49   5.8070      0.00     0.02       0.00    -0.15
    50   5.9877      0.00    -0.10       0.00    -0.11
    51   9.9301      0.00     0.12       0.00     0.11
    52   9.9302      0.00     0.07       0.00    -0.03
    53   9.9302      0.00    -0.08       0.00     0.09
    54  10.6427      0.00    -0.08       0.00    -0.05
    55  10.6427      0.00    -0.03       0.00     0.08
    56  10.6427      0.00     0.23       0.00    -0.17
    57  10.6618      0.00    -0.26       0.00     0.05
    58  10.6619      0.00    -0.09       0.00     0.20
    59  10.6619      0.00    -0.11       0.00     0.19
    60  10.6619      0.00     0.15       0.00     0.10
    61  10.7136      0.00     0.55       0.00     0.14
    62  10.7136      0.00    -0.09       0.00     0.25
    63  10.7136      0.00     0.21       0.00     0.00
    64  10.7136      0.00    -0.15       0.00     0.07
    65  10.7136      0.00    -0.02       0.00    -0.15
    66  10.7136      0.00     0.28       0.00    -0.18
    67  10.7137      0.00    -0.21       0.00     0.08
    68  10.7137      0.00    -0.09       0.00    -0.01
    69  10.7845      0.00     0.09       0.00    -0.05
    70  10.7846      0.00    -0.03       0.00    -0.08
    71  10.7848      0.00     0.00       0.00    -0.05
    72  10.7929      0.00     0.02       0.00    -0.02
    73  10.7930      0.00    -0.01       0.00    -0.08
    74  10.7930      0.00     0.03       0.00     0.06
    75  10.7930      0.00     0.04       0.00     0.01
    76  10.8641      0.00    -0.12       0.00    -0.05
    77  10.8641      0.00     0.07       0.00    -0.07
    78  10.8641      0.00    -0.02       0.00     0.05
    79  10.8858      0.00     0.04       0.00     0.01
    80  10.8858      0.00     0.06       0.00    -0.05
    81  10.8859      0.00    -0.09       0.00     0.04
    82  10.8859      0.00    -0.07       0.00    -0.03
    83  11.7050      0.00     0.05       0.00    -0.06
    84  11.7050      0.00    -0.06       0.00    -0.02
    85  11.7050      0.00    -0.05       0.00     0.05
    86  11.7050      0.00     0.05       0.00    -0.08

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.

11WJ157    quality flag:3

Type:       6:1EEEEE  6:1EEEEE  6:1EEEEE

axisobj       100.273   100.271   100.275
ecceobj         0.625     0.625     0.625
incobj         27.039    27.039    27.039
qmin           36.587    36.588    36.587
qmax          166.394   166.669   166.962
amean          99.418    99.417    99.418
amin           97.628    97.604    97.477
amax          102.170   102.296   102.290
emean           0.618     0.619     0.619
emin            0.607     0.607     0.608
emax            0.632     0.632     0.632
imean          26.254    26.190    26.226
imin           25.587    25.587    25.587
imax           26.710    26.634    26.679
excite_mean     0.760     0.760     0.760
fracstop        1.000     1.000     1.000
cjmean          2.864     2.864     2.864

libcent 0        97.0     180.8     178.9
libamp  0        77.4     160.2     158.7
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       108.6     113.1     110.8
kozaiamp         50.0      55.6      53.6