Orbit Fit and Astrometric record for 12HW87

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: 12HW87    
# Created Fri Dec  3 02:11:25 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     88 observations of     88
# Arc:   7.18y
# First observation: 2011/04/28
#  Last observation: 2018/07/04
# Chi-squared of fit:    79.58 DOF:    170 RMS:  0.17
# Min/Max residuals:    -0.76    0.58
# Exact a, adot, b, bdot, g, gdot:
  2.137753E-05  4.462586E-02 -2.122644E-06 -4.500682E-03  3.168815E-02  7.489956E-04
# Covariance matrix:
  3.5193E-13 -1.6199E-13 -2.4452E-14  1.4799E-14 -5.0415E-15 -4.0457E-13
 -1.6199E-13  8.9934E-14  1.5198E-14 -9.0332E-15  1.7029E-14  2.4686E-13
 -2.4452E-14  1.5198E-14  1.2754E-13 -2.8448E-14  3.7527E-15  4.4943E-14
  1.4799E-14 -9.0332E-15 -2.8448E-14  7.6434E-15 -1.4514E-15 -2.6845E-14
 -5.0415E-15  1.7029E-14  3.7527E-15 -1.4514E-15  6.9720E-14  3.9265E-14
 -4.0457E-13  2.4686E-13  4.4943E-14 -2.6845E-14  3.9265E-14  7.3368E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   13.338173 -120.184933    0.382011    0.215630   -0.909726  2455680.022716
# Heliocentric elements and errors
Epoch:              2455680.5000  =  2011/04/29
Mean Anomaly:            0.11561 +/-     0.000
Argument of Peri:      112.25464 +/-     0.003
Long of Asc Node:      125.54570 +/-     0.000
Inclination:            14.09323 +/-     0.000
Eccentricity:         0.64415973 +/-    0.0000
Semi-Major Axis:     91.24115138 +/-    0.0115
Time of Perihelion: 2455578.2734 +/-       0.4
Perihelion:          32.46727595 +/-    0.0056
Aphelion:           150.01502682 +/-    0.0193
Period (y)              871.5541 +/-      0.16
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -16.23459488 +/-    0.0001
Ecliptic Y          -27.15917481 +/-    0.0002
Ecliptic Z            7.28024323 +/-    0.0001
Ecliptic XDOT         0.00325420 +/-    0.0000
Ecliptic YDOT        -0.00206463 +/-    0.0000
Ecliptic ZDOT        -0.00036341 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   32.46820864 +/-    0.0002
Geocenter to KBO     31.55756343 +/-    0.0003
# Hcoef:  7.57

The following table shows the complete astrometric record for 12HW87. 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 (12HW87) followed by the observatory code and reference code for the source of the astrometry.

2011 04  28.52195  16 01 51.405  -07 03 35.25  21.2G 12HW87    F51  C~345t      
2011 05  14.52255  16 00 25.671  -06 58 04.10  22.0G 12HW87    F51  C~345t      
2012 04  21.49294  16 12 13.685  -07 51 30.30  22.0G 12HW87    F51  C~345u      
2012 04  27.54124  16 11 45.322  -07 49 13.25  22.5G 12HW87    F51  C~345u      
2012 06  13.35197  16 07 27.911  -07 38 16.65  22.5G 12HW87    F51  C~345u      
2013 03  19.63347  16 23 37.446  -08 48 33.04  22.3G 12HW87    F51  C~345u      
2013 05  31.38767  16 18 35.705  -08 24 47.51  22.4G 12HW87    F51  C~345u      
2013 06  09.36793  16 17 44.852  -08 23 37.68  22.4G 12HW87    F51  C~345u      
2013 06  09.38186  16 17 44.775  -08 23 37.43  22.8G 12HW87    F51  C~345u      
2013 06  09.39580  16 17 44.685  -08 23 37.41  22.7G 12HW87    F51  C~345u      
2013 06  16.42196  16 17 06.408  -08 23 08.95  21.6G 12HW87    F51  C~345u      
2013 06  18.31641  16 16 56.414  -08 23 05.67  23.1G 12HW87    F51  C~345u      
2013 06  18.32721  16 16 56.350  -08 23 05.61  23.4G 12HW87    F51  C~345u      
2013 07  02.32586  16 15 48.596  -08 23 36.51  22.6G 12HW87    F51  C~345u      
2013 07  02.33910  16 15 48.529  -08 23 36.53  22.9G 12HW87    F51  C~345u      
2013 07  02.35237  16 15 48.466  -08 23 36.68  22.4G 12HW87    F51  C~345u      
2013 07  02.36560  16 15 48.413  -08 23 36.64  22.3G 12HW87    F51  C~345u      
2014 04  04.58582  16 32 56.492  -09 25 29.01  23.1G 12HW87    F51  C~345u      
2014 05  01.46911  16 31 15.380  -09 16 05.15  22.6G 12HW87    F51  C~345u      
2014 05  05.48368  16 30 55.504  -09 14 49.97  23.0G 12HW87    F51  C~345u      
2014 05  07.49907  16 30 45.167  -09 14 14.49  22.3G 12HW87    F51  C~345u      
2014 05  07.51173  16 30 45.106  -09 14 14.29  22.4G 12HW87    F51  C~345u      
2014 05  07.52442  16 30 45.037  -09 14 14.04  22.2G 12HW87    F51  C~345u      
2014 05  07.53708  16 30 44.967  -09 14 13.82  21.8G 12HW87    F51  C~345u      
2014 06  06.41022  16 27 57.657  -09 07 54.85  22.7G 12HW87    F51  C~345u      
2014 07  26.31748  16 24 14.675  -09 11 56.11  22.4G 12HW87    F51  C~345u      
2014 07  26.32937  16 24 14.646  -09 11 56.24  22.4G 12HW87    F51  C~345u      
2014 07  26.34122  16 24 14.616  -09 11 56.47  23.1G 12HW87    F51  C~345u      
2014 08  14.25808  16 23 46.925  -09 18 28.48  22.7G 12HW87    F51  C~345u      
2015 02  27.60169  16 42 47.434  -10 18 18.38  22.4G 12HW87    F51  C~345u      
2015 02  27.62428  16 42 47.494  -10 18 17.71  22.4G 12HW87    F51  C~345u      
2015 02  27.63559  16 42 47.512  -10 18 17.67  23.3G 12HW87    F51  C~345u      
2015 03  31.59213  16 42 52.522  -10 08 33.48  22.2G 12HW87    F51  C~345u      
2015 03  31.60501  16 42 52.477  -10 08 33.28  22.2G 12HW87    F51  C~345u      
2015 03  31.61793  16 42 52.462  -10 08 32.92  22.4G 12HW87    F51  C~345u      
2015 04  23.55801  16 41 43.970  -10 00 50.45  22.7G 12HW87    F51  C~345u      
2015 04  23.57076  16 41 43.906  -10 00 50.15  22.5G 12HW87    F51  C~345u      
2015 04  23.58342  16 41 43.862  -10 00 49.95  23.2G 12HW87    F51  C~345u      
2015 04  23.59607  16 41 43.830  -10 00 49.64  22.5G 12HW87    F51  C~345u      
2015 04  24.59095  16 41 39.722  -10 00 30.60  22.9G 12HW87    F51  C~345u      
2015 04  24.60403  16 41 39.664  -10 00 30.65  21.4G 12HW87    F51  C~345u      
2015 04  24.61708  16 41 39.573  -10 00 29.80  22.8G 12HW87    F51  C~345u      
2015 05  21.48348  16 39 25.082  -09 53 13.87  22.3G 12HW87    F51  C~345u      
2015 05  21.49585  16 39 24.975  -09 53 14.09  21.9G 12HW87    F51  C~345u      
2015 05  22.48505  16 39 19.450  -09 53 01.59  21.9G 12HW87    F51  C~345u      
2015 05  22.49763  16 39 19.359  -09 53 01.56  22.7G 12HW87    F51  C~345u      
2015 05  22.51021  16 39 19.286  -09 53 01.38  22.3G 12HW87    F51  C~345u      
2015 05  22.52276  16 39 19.206  -09 53 01.20  22.6G 12HW87    F51  C~345u      
2015 06  10.37046  16 37 31.254  -09 50 17.24  23.0G 12HW87    F51  C~345u      
2015 06  10.38287  16 37 31.189  -09 50 17.63  22.6G 12HW87    F51  C~345u      
2015 06  13.44404  16 37 13.879  -09 50 04.27  22.3G 12HW87    F51  C~345u      
2015 06  13.45671  16 37 13.799  -09 50 04.48  22.1G 12HW87    F51  C~345u      
2015 06  15.34557  16 37 03.230  -09 49 58.49  22.3G 12HW87    F51  C~345u      
2015 06  15.35809  16 37 03.165  -09 49 58.27  22.2G 12HW87    F51  C~345u      
2015 06  15.37060  16 37 03.088  -09 49 58.31  22.4G 12HW87    F51  C~345u      
2015 06  15.38315  16 37 03.016  -09 49 58.39  22.5G 12HW87    F51  C~345u      
2015 06  23.40837  16 36 19.442  -09 49 50.39  22.4G 12HW87    F51  C~345u      
2015 06  23.42028  16 36 19.394  -09 49 50.51  22.1G 12HW87    F51  C~345u      
2015 06  23.43224  16 36 19.330  -09 49 50.27  21.9G 12HW87    F51  C~345u      
2016 04  03.56727  16 52 30.808  -10 47 29.89  22.6G 12HW87    F51  C~345u      
2016 04  15.51922  16 51 59.810  -10 43 42.73  22.4G 12HW87    F51  C~345u      
2016 04  15.53120  16 51 59.783  -10 43 42.56  22.6G 12HW87    F51  C~345u      
2016 04  15.54317  16 51 59.742  -10 43 42.35  22.4G 12HW87    F51  C~345u      
2016 04  15.55513  16 51 59.698  -10 43 42.23  22.3G 12HW87    F51  C~345u      
2016 05  02.50632  16 50 52.600  -10 38 42.87  22.2G 12HW87    F51  C~345u      
2016 05  02.53032  16 50 52.453  -10 38 41.93  22.6G 12HW87    F51  C~345u      
2016 05  02.54221  16 50 52.419  -10 38 41.87  22.5G 12HW87    F51  C~345u      
2016 05  30.44888  16 48 23.716  -10 32 47.48  21.7G 12HW87    F51  C~345u      
2016 05  30.45922  16 48 23.645  -10 32 47.66  22.3G 12HW87    F51  C~345u      
2016 05  30.46954  16 48 23.558  -10 32 47.62  22.1G 12HW87    F51  C~345u      
2016 05  30.47987  16 48 23.508  -10 32 47.21  22.8G 12HW87    F51  C~345u      
2016 06  05.45386  16 47 49.053  -10 32 04.22  22.3G 12HW87    F51  C~345u      
2016 06  05.46523  16 47 48.989  -10 32 04.09  22.8G 12HW87    F51  C~345u      
2016 06  05.47663  16 47 48.920  -10 32 04.05  22.6G 12HW87    F51  C~345u      
2016 06  05.48808  16 47 48.850  -10 32 03.74  23.0G 12HW87    F51  C~345u      
2016 06  07.40621  16 47 37.796  -10 31 52.98  22.7G 12HW87    F51  C~345u      
2016 06  28.43186  16 45 42.099  -10 31 30.84  22.8G 12HW87    F51  C~345u      
2017 05  21.44533  16 59 07.951  -11 13 59.98  22.3G 12HW87    F51  C~345u      
2017 06  24.42142  16 55 55.598  -11 11 20.97  23.2G 12HW87    F51  C~345u      
2017 07  15.30433  16 54 14.405  -11 13 25.65  24.0G 12HW87    F51  C~345u      
2017 07  15.31655  16 54 14.335  -11 13 25.93  22.3G 12HW87    F51  C~345u      
2018 06  08.41671  17 07 16.986  -11 50 02.85  23.1G 12HW87    F51  C~345u      
2018 06  08.44160  17 07 16.823  -11 50 02.59  23.7G 12HW87    F51  C~345u      
2018 06  08.45404  17 07 16.759  -11 50 02.82  22.8G 12HW87    F51  C~345u      
2018 07  04.34419  17 04 53.538  -11 50 24.12  22.6G 12HW87    F51  C~345u      
2018 07  04.35568  17 04 53.491  -11 50 24.07  23.1G 12HW87    F51  C~345u      
2018 07  04.36727  17 04 53.441  -11 50 24.26  22.7G 12HW87    F51  C~345u      
2018 07  04.37881  17 04 53.376  -11 50 24.47  22.9G 12HW87    F51  C~345u      

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     0.18       0.00    -0.06
     2   0.0438      0.00    -0.16       0.00     0.02
     3   0.9828      0.00     0.11       0.00    -0.05
     4   0.9994      0.00     0.06       0.00    -0.05
     5   1.1275      0.00     0.14       0.00    -0.09
     6   1.8922      0.00    -0.76       0.00     0.19
     7   2.0914      0.00     0.13       0.00     0.27
     8   2.1159      0.00     0.11       0.00    -0.10
     9   2.1160      0.00     0.14       0.00     0.07
    10   2.1160      0.00    -0.02       0.00     0.01
    11   2.1352      0.00     0.26       0.00     0.22
    12   2.1404      0.00     0.02       0.00     0.04
    13   2.1405      0.00    -0.07       0.00     0.09
    14   2.1788      0.00     0.04       0.00    -0.17
    15   2.1788      0.00    -0.07       0.00    -0.11
    16   2.1789      0.00    -0.12       0.00    -0.19
    17   2.1789      0.00    -0.02       0.00    -0.07
    18   2.9352      0.00    -0.07       0.00     0.09
    19   3.0088      0.00     0.22       0.00     0.07
    20   3.0197      0.00     0.23       0.00     0.58
    21   3.0253      0.00    -0.07       0.00     0.06
    22   3.0253      0.00     0.02       0.00     0.04
    23   3.0253      0.00    -0.01       0.00     0.06
    24   3.0254      0.00    -0.06       0.00     0.06
    25   3.1072      0.00    -0.00       0.00     0.08
    26   3.2438      0.00    -0.02       0.00    -0.05
    27   3.2438      0.00     0.00       0.00     0.02
    28   3.2439      0.00     0.02       0.00    -0.01
    29   3.2956      0.00     0.06       0.00    -0.13
    30   3.8359      0.00    -0.31       0.00    -0.36
    31   3.8360      0.00    -0.11       0.00    -0.03
    32   3.8360      0.00    -0.19       0.00    -0.16
    33   3.9235      0.00     0.26       0.00     0.01
    34   3.9236      0.00    -0.05       0.00    -0.05
    35   3.9236      0.00     0.09       0.00     0.05
    36   3.9864      0.00     0.17       0.00    -0.09
    37   3.9864      0.00     0.01       0.00    -0.04
    38   3.9865      0.00     0.14       0.00    -0.08
    39   3.9865      0.00     0.45       0.00    -0.02
    40   3.9892      0.00     0.24       0.00    -0.06
    41   3.9893      0.00     0.21       0.00    -0.37
    42   3.9893      0.00    -0.32       0.00     0.23
    43   4.0629      0.00     0.17       0.00     0.19
    44   4.0629      0.00    -0.37       0.00    -0.19
    45   4.0656      0.00     0.27       0.00     0.10
    46   4.0656      0.00    -0.01       0.00    -0.03
    47   4.0657      0.00    -0.02       0.00    -0.00
    48   4.0657      0.00    -0.14       0.00     0.02
    49   4.1173      0.00    -0.14       0.00     0.41
    50   4.1173      0.00    -0.04       0.00    -0.04
    51   4.1257      0.00     0.15       0.00     0.22
    52   4.1258      0.00     0.04       0.00    -0.03
    53   4.1309      0.00    -0.10       0.00    -0.10
    54   4.1310      0.00    -0.01       0.00     0.09
    55   4.1310      0.00    -0.10       0.00     0.02
    56   4.1310      0.00    -0.11       0.00    -0.10
    57   4.1530      0.00    -0.38       0.00    -0.05
    58   4.1530      0.00    -0.14       0.00    -0.16
    59   4.1531      0.00    -0.14       0.00     0.09
    60   4.9337      0.00     0.11       0.00    -0.04
    61   4.9665      0.00    -0.19       0.00     0.10
    62   4.9665      0.00     0.00       0.00     0.04
    63   4.9665      0.00    -0.02       0.00     0.03
    64   4.9666      0.00    -0.08       0.00    -0.07
    65   5.0130      0.00     0.17       0.00    -0.47
    66   5.0130      0.00    -0.33       0.00     0.08
    67   5.0131      0.00     0.01       0.00    -0.05
    68   5.0895      0.00     0.55       0.00     0.09
    69   5.0895      0.00     0.39       0.00    -0.18
    70   5.0895      0.00    -0.00       0.00    -0.23
    71   5.0895      0.00     0.15       0.00     0.10
    72   5.1059      0.00    -0.00       0.00    -0.12
    73   5.1059      0.00     0.04       0.00    -0.06
    74   5.1060      0.00     0.01       0.00    -0.09
    75   5.1060      0.00    -0.03       0.00     0.15
    76   5.1113      0.00    -0.17       0.00    -0.07
    77   5.1688      0.00    -0.08       0.00     0.00
    78   6.0641      0.00    -0.03       0.00    -0.05
    79   6.1572      0.00    -0.03       0.00     0.07
    80   6.2143      0.00     0.14       0.00     0.02
    81   6.2144      0.00    -0.13       0.00    -0.13
    82   7.1126      0.00     0.07       0.00     0.03
    83   7.1127      0.00    -0.18       0.00     0.19
    84   7.1128      0.00    -0.05       0.00    -0.09
    85   7.1836      0.00    -0.20       0.00     0.12
    86   7.1837      0.00    -0.02       0.00     0.24
    87   7.1837      0.00     0.13       0.00     0.11
    88   7.1837      0.00     0.05       0.00    -0.03

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.

12HW87    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        90.261    90.260    90.262
ecceobj         0.640     0.640     0.640
incobj         14.098    14.098    14.098
qmin           30.814    31.254    31.731
qmax          171.059   169.624   160.516
amean          92.339    92.774    93.184
amin           85.233    86.102    87.786
amax          101.419   101.205    96.647
emean           0.651     0.648     0.649
emin            0.620     0.617     0.623
emax            0.687     0.680     0.661
imean          11.489    12.745    13.222
imin            9.472    11.025    12.495
imax           13.318    14.518    13.640
excite_mean     0.681     0.685     0.688
fracstop        1.000     1.000     1.000
cjmean          2.930     2.931     2.929

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       169.5     179.1     220.1
kozaiamp        180.0     180.0     103.3