Orbit Fit and Astrometric record for 12LB27

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: 12LB27    
# Created Sat Dec  4 02:11:29 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     87 observations of     87
# Arc:   9.25y
# First observation: 2012/06/09
#  Last observation: 2021/09/09
# Chi-squared of fit:    49.32 DOF:    168 RMS:  0.13
# Min/Max residuals:    -0.81    0.55
# Exact a, adot, b, bdot, g, gdot:
  2.473526E-05  9.929250E-02  8.214850E-06  3.573779E-02  6.375000E-02 -1.590642E-02
# Covariance matrix:
  1.0993E-13 -4.6653E-14  2.5855E-14 -1.4452E-14 -9.5294E-15 -2.4457E-14
 -4.6653E-14  2.4303E-14 -1.4747E-14  8.1643E-15  4.1470E-16  1.4693E-14
  2.5855E-14 -1.4747E-14  4.8560E-14 -1.2868E-14  1.9238E-15 -1.0237E-14
 -1.4452E-14  8.1643E-15 -1.2868E-14  5.2543E-15 -2.5628E-16  5.5133E-15
 -9.5294E-15  4.1470E-16  1.9238E-15 -2.5628E-16  5.1691E-14 -9.5834E-15
 -2.4457E-14  1.4693E-14 -1.0237E-14  5.5133E-15 -9.5834E-15  1.1663E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   18.387431 -111.428606   -0.176972    0.316068   -0.950941  2456087.820816
# Heliocentric elements and errors
Epoch:              2456088.5000  =  2012/06/10
Mean Anomaly:          329.42964 +/-     0.002
Argument of Peri:       91.02885 +/-     0.002
Long of Asc Node:      209.10676 +/-     0.000
Inclination:            25.80321 +/-     0.000
Eccentricity:         0.22891976 +/-    0.0000
Semi-Major Axis:     20.25185046 +/-    0.0004
Time of Perihelion: 2458915.2904 +/-       0.9
Perihelion:          15.61580169 +/-    0.0003
Aphelion:            24.88789923 +/-    0.0005
Period (y)               91.1392 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           -5.63678005 +/-    0.0000
Ecliptic Y          -14.85205596 +/-    0.0000
Ecliptic Z            4.94826531 +/-    0.0000
Ecliptic XDOT         0.00437802 +/-    0.0000
Ecliptic YDOT        -0.00050050 +/-    0.0000
Ecliptic ZDOT         0.00124108 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   16.63863517 +/-    0.0000
Geocenter to KBO     15.68637153 +/-    0.0001
# Hcoef:  9.69

The following table shows the complete astrometric record for 12LB27. 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 (12LB27) followed by the observatory code and reference code for the source of the astrometry.

2012 06  09.32005  16 38 41.827  -03 33 09.25  21.7G 12LB27    F51  C~345w      
2012 06  09.33067  16 38 41.728  -03 33 09.09  21.7G 12LB27    F51  C~345w      
2012 06  09.51370  16 38 39.710  -03 33 03.18  21.5G 12LB27    F51  C~345w      
2012 06  09.52499  16 38 39.581  -03 33 02.84  21.6G 12LB27    F51  C~345w      
2012 06  13.34134  16 37 59.007  -03 31 10.59  21.4G 12LB27    F51  C~345w      
2012 06  13.35609  16 37 58.846  -03 31 10.37  21.6G 12LB27    F51  C~345w      
2012 06  13.37084  16 37 58.694  -03 31 10.02  21.6G 12LB27    F51  C~345w      
2012 06  13.38561  16 37 58.538  -03 31 09.50  21.6G 12LB27    F51  C~345w      
2013 06  08.42367  17 02 57.605  -02 19 23.04  21.3G 12LB27    F51  C~345w      
2013 06  12.48931  17 02 12.839  -02 17 19.78  21.6G 12LB27    F51  C~345w      
2013 06  19.46254  17 00 57.244  -02 14 42.58  21.3G 12LB27    F51  C~345w      
2013 06  19.47253  17 00 57.136  -02 14 42.25  20.6G 12LB27    F51  C~345w      
2013 06  19.48407  17 00 57.011  -02 14 42.01  22.1G 12LB27    F51  C~345w      
2013 06  19.49467  17 00 56.911  -02 14 41.91  21.5G 12LB27    F51  C~345w      
2013 08  24.28117  16 54 17.429  -02 40 09.37  22.1G 12LB27    F51  C~345w      
2013 08  27.24233  16 54 20.079  -02 42 54.50  22.5G 12LB27    F51  C~345w      
2014 03  17.65051  17 35 05.978  -02 43 24.17  22.2G 12LB27    F51  C~345w      
2014 03  18.64078  17 35 09.248  -02 41 54.75  22.6G 12LB27    F51  C~345w      
2014 04  28.58136  17 33 59.666  -01 41 14.21  21.8G 12LB27    F51  C~345w      
2014 04  28.59243  17 33 59.606  -01 41 13.23  21.8G 12LB27    F51  C~345w      
2014 04  28.60349  17 33 59.523  -01 41 12.41  21.5G 12LB27    F51  C~345w      
2014 04  28.61457  17 33 59.467  -01 41 11.57  21.7G 12LB27    F51  C~345w      
2014 05  10.52060  17 32 31.593  -01 26 14.43  21.4G 12LB27    F51  C~345w      
2014 05  10.53002  17 32 31.516  -01 26 13.67  21.5G 12LB27    F51  C~345w      
2014 05  10.53946  17 32 31.435  -01 26 12.94  21.5G 12LB27    F51  C~345w      
2014 05  10.54904  17 32 31.366  -01 26 12.43  21.5G 12LB27    F51  C~345w      
2014 05  26.48667  17 30 00.787  -01 10 01.59  21.7G 12LB27    F51  C~345w      
2014 05  26.48998  17 30 00.745  -01 10 01.39  21.4G 12LB27    F51  C~345w      
2014 05  26.49830  17 30 00.665  -01 10 01.04  21.4G 12LB27    F51  C~345w      
2014 05  26.50161  17 30 00.632  -01 10 00.81  21.1G 12LB27    F51  C~345w      
2014 05  26.50993  17 30 00.536  -01 10 00.44  21.2G 12LB27    F51  C~345w      
2014 05  26.52154  17 30 00.410  -01 09 59.85  21.1G 12LB27    F51  C~345w      
2014 05  30.46027  17 29 19.061  -01 06 48.26  21.3G 12LB27    F51  C~345w      
2014 06  29.41167  17 23 50.862  -00 54 30.03  21.3G 12LB27    F51  C~345w      
2014 06  29.42304  17 23 50.737  -00 54 30.06  21.7G 12LB27    F51  C~345w      
2014 06  29.43440  17 23 50.621  -00 54 30.06  21.4G 12LB27    F51  C~345w      
2014 06  29.44575  17 23 50.492  -00 54 30.00  21.5G 12LB27    F51  C~345w      
2015 04  18.54612  17 59 28.293  -00 36 24.71  21.8G 12LB27    F51  C~345w      
2015 04  18.55911  17 59 28.265  -00 36 23.57  22.3G 12LB27    F51  C~345w      
2015 04  18.57230  17 59 28.212  -00 36 22.19  22.6G 12LB27    F51  C~345w      
2015 04  18.58528  17 59 28.168  -00 36 21.02  21.9G 12LB27    F51  C~345w      
2015 04  20.54292  17 59 22.156  -00 33 22.88  21.9G 12LB27    F51  C~345w      
2015 04  20.55612  17 59 22.123  -00 33 21.79  21.8G 12LB27    F51  C~345w      
2015 04  20.56929  17 59 22.078  -00 33 20.64  21.8G 12LB27    F51  C~345w      
2015 04  20.58249  17 59 22.024  -00 33 19.39  22.1G 12LB27    F51  C~345w      
2015 04  25.56587  17 59 02.704  -00 25 56.90  21.8G 12LB27    F51  C~345w      
2015 04  25.57893  17 59 02.645  -00 25 55.76  21.9G 12LB27    F51  C~345w      
2015 04  25.59204  17 59 02.583  -00 25 54.62  21.7G 12LB27    F51  C~345w      
2015 04  25.60512  17 59 02.524  -00 25 53.46  21.7G 12LB27    F51  C~345w      
2015 05  18.60919  17 56 27.702  +00 03 29.92  22.0G 12LB27    F51  C~345w      
2015 05  19.47726  17 56 20.078  +00 04 25.16  21.6G 12LB27    F51  C~345w      
2015 05  19.48954  17 56 19.968  +00 04 25.85  21.9G 12LB27    F51  C~345w      
2015 05  19.50195  17 56 19.855  +00 04 26.83  21.9G 12LB27    F51  C~345w      
2015 05  19.51429  17 56 19.745  +00 04 27.66  22.0G 12LB27    F51  C~345w      
2015 05  20.49184  17 56 10.988  +00 05 28.49  21.6G 12LB27    F51  C~345w      
2015 05  20.50426  17 56 10.872  +00 05 29.52  21.7G 12LB27    F51  C~345w      
2015 05  20.51665  17 56 10.763  +00 05 30.13  22.1G 12LB27    F51  C~345w      
2015 05  20.52907  17 56 10.629  +00 05 31.22  22.6G 12LB27    F51  C~345w      
2015 06  18.40530  17 51 08.840  +00 25 27.47  21.5G 12LB27    F51  C~345w      
2015 06  18.41752  17 51 08.691  +00 25 27.63  21.3G 12LB27    F51  C~345w      
2015 06  18.42971  17 51 08.563  +00 25 27.91  21.1G 12LB27    F51  C~345w      
2015 06  18.44196  17 51 08.418  +00 25 28.19  21.3G 12LB27    F51  C~345w      
2015 06  19.39185  17 50 57.755  +00 25 46.21  20.8G 12LB27    F51  C~345w      
2015 06  19.40427  17 50 57.606  +00 25 46.76  20.5G 12LB27    F51  C~345w      
2015 06  19.41669  17 50 57.477  +00 25 46.63  21.2G 12LB27    F51  C~345w      
2015 06  19.42914  17 50 57.330  +00 25 46.79  21.2G 12LB27    F51  C~345w      
2015 07  06.34094  17 47 51.093  +00 27 03.50  20.5G 12LB27    F51  C~345w      
2015 07  06.35311  17 47 50.941  +00 27 03.49  22.0G 12LB27    F51  C~345w      
2015 07  06.36523  17 47 50.818  +00 27 03.26  21.6G 12LB27    F51  C~345w      
2015 07  06.37740  17 47 50.682  +00 27 03.44  22.2G 12LB27    F51  C~345w      
2015 07  07.31996  17 47 40.772  +00 26 54.22  21.6G 12LB27    F51  C~345w      
2015 07  07.33204  17 47 40.641  +00 26 54.07  21.7G 12LB27    F51  C~345w      
2015 07  07.34417  17 47 40.512  +00 26 54.00  21.8G 12LB27    F51  C~345w      
2015 07  07.35628  17 47 40.376  +00 26 53.81  21.5G 12LB27    F51  C~345w      
2015 08  13.26672  17 42 45.396  +00 05 09.12  21.4G 12LB27    F51  C~345w      
2015 08  13.27873  17 42 45.349  +00 05 08.25  21.4G 12LB27    F51  C~345w      
2015 08  13.29075  17 42 45.285  +00 05 07.70  21.4G 12LB27    F51  C~345w      
2015 08  13.30279  17 42 45.230  +00 05 06.91  21.4G 12LB27    F51  C~345w      
2015 08  16.28575  17 42 32.212  +00 02 14.00  22.2G 12LB27    F51  C~345w      
2015 08  16.29802  17 42 32.173  +00 02 13.21  21.9G 12LB27    F51  C~345w      
2015 08  16.31029  17 42 32.128  +00 02 12.62  22.2G 12LB27    F51  C~345w      
2015 08  16.32254  17 42 32.037  +00 02 11.98  22.0G 12LB27    F51  C~345w      
2020 08  12.196880 19 53 45.280  +07 00 31.71  21.7G 12LB27    G37  C~43zQ      
2020 08  12.236250 19 53 44.877  +07 00 29.03        12LB27    G37  C~43zQ      
2021 09  09.295270 20 16 53.430  +07 36 59.50  21.6w 12LB27    F52  C~52PC      
2021 09  09.305704 20 16 53.355  +07 36 58.48  21.8w 12LB27    F52  C~52PC      
2021 09  09.326587 20 16 53.217  +07 36 56.49  21.8w 12LB27    F52  C~52PC      

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    -0.00       0.00     0.14
     2   0.0000      0.00     0.25       0.00    -0.04
     3   0.0005      0.00    -0.00       0.00     0.02
     4   0.0006      0.00    -0.09       0.00    -0.00
     5   0.0110      0.00    -0.02       0.00     0.09
     6   0.0111      0.00    -0.05       0.00    -0.09
     7   0.0111      0.00     0.05       0.00    -0.14
     8   0.0111      0.00     0.09       0.00    -0.01
     9   0.9969      0.00     0.42       0.00    -0.13
    10   1.0080      0.00    -0.04       0.00     0.42
    11   1.0271      0.00    -0.05       0.00    -0.11
    12   1.0271      0.00    -0.04       0.00     0.04
    13   1.0271      0.00    -0.03       0.00     0.07
    14   1.0272      0.00     0.19       0.00    -0.02
    15   1.2073      0.00     0.03       0.00    -0.14
    16   1.2154      0.00    -0.33       0.00    -0.03
    17   1.7696      0.00     0.11       0.00    -0.07
    18   1.7723      0.00    -0.81       0.00    -0.09
    19   1.8844      0.00    -0.06       0.00    -0.02
    20   1.8844      0.00     0.12       0.00     0.07
    21   1.8844      0.00    -0.05       0.00    -0.00
    22   1.8844      0.00     0.20       0.00    -0.05
    23   1.9170      0.00    -0.00       0.00    -0.17
    24   1.9171      0.00     0.06       0.00    -0.07
    25   1.9171      0.00     0.06       0.00     0.01
    26   1.9171      0.00     0.26       0.00    -0.15
    27   1.9608      0.00    -0.04       0.00    -0.04
    28   1.9608      0.00    -0.14       0.00    -0.01
    29   1.9608      0.00    -0.03       0.00    -0.09
    30   1.9608      0.00     0.00       0.00    -0.03
    31   1.9608      0.00    -0.12       0.00    -0.08
    32   1.9609      0.00    -0.17       0.00    -0.09
    33   1.9716      0.00    -0.04       0.00    -0.10
    34   2.0536      0.00     0.02       0.00     0.09
    35   2.0537      0.00    -0.01       0.00     0.03
    36   2.0537      0.00     0.08       0.00    -0.00
    37   2.0537      0.00    -0.02       0.00     0.03
    38   2.8562      0.00    -0.01       0.00    -0.09
    39   2.8562      0.00     0.17       0.00    -0.14
    40   2.8563      0.00    -0.03       0.00     0.03
    41   2.8563      0.00    -0.09       0.00     0.01
    42   2.8617      0.00    -0.11       0.00     0.05
    43   2.8617      0.00     0.09       0.00    -0.05
    44   2.8617      0.00     0.11       0.00    -0.09
    45   2.8618      0.00    -0.00       0.00    -0.03
    46   2.8754      0.00     0.01       0.00    -0.00
    47   2.8755      0.00     0.03       0.00     0.00
    48   2.8755      0.00     0.02       0.00    -0.00
    49   2.8755      0.00     0.05       0.00     0.02
    50   2.9385      0.00    -0.05       0.00     0.02
    51   2.9409      0.00     0.00       0.00    -0.06
    52   2.9409      0.00     0.03       0.00    -0.14
    53   2.9409      0.00     0.03       0.00     0.05
    54   2.9410      0.00     0.07       0.00     0.10
    55   2.9437      0.00     0.01       0.00    -0.17
    56   2.9437      0.00    -0.00       0.00     0.09
    57   2.9437      0.00     0.08       0.00    -0.07
    58   2.9438      0.00    -0.20       0.00     0.25
    59   3.0228      0.00     0.04       0.00    -0.03
    60   3.0229      0.00    -0.10       0.00    -0.11
    61   3.0229      0.00     0.08       0.00    -0.06
    62   3.0229      0.00     0.01       0.00    -0.02
    63   3.0255      0.00     0.02       0.00     0.22
    64   3.0256      0.00    -0.08       0.00     0.55
    65   3.0256      0.00     0.12       0.00     0.19
    66   3.0256      0.00     0.06       0.00     0.13
    67   3.0719      0.00     0.31       0.00     0.02
    68   3.0720      0.00    -0.00       0.00     0.12
    69   3.0720      0.00     0.11       0.00    -0.01
    70   3.0720      0.00     0.04       0.00     0.28
    71   3.0746      0.00     0.03       0.00    -0.07
    72   3.0746      0.00     0.00       0.00    -0.10
    73   3.0747      0.00     0.01       0.00    -0.05
    74   3.0747      0.00    -0.08       0.00    -0.11
    75   3.1758      0.00    -0.09       0.00     0.16
    76   3.1758      0.00     0.09       0.00    -0.03
    77   3.1758      0.00     0.01       0.00     0.10
    78   3.1759      0.00     0.07       0.00    -0.01
    79   3.1840      0.00    -0.13       0.00    -0.02
    80   3.1841      0.00     0.07       0.00    -0.09
    81   3.1841      0.00     0.17       0.00     0.05
    82   3.1841      0.00    -0.41       0.00     0.14
    83   8.1749      0.00    -0.01       0.00    -0.06
    84   8.1750      0.00    -0.12       0.00    -0.06
    85   9.2511      0.00     0.07       0.00    -0.04
    86   9.2512      0.00    -0.01       0.00    -0.04
    87   9.2512      0.00     0.00       0.00     0.02

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.

12LB27    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        20.221    20.221    20.221
ecceobj         0.230     0.230     0.230
incobj         25.839    25.839    25.839
qmin           14.168    14.403    14.113
qmax           26.857    26.515    26.096
amean          20.446    20.355    20.017
amin           20.221    19.960    19.609
amax           20.886    20.766    20.322
emean           0.285     0.269     0.276
emin            0.230     0.204     0.230
emax            0.305     0.293     0.296
imean          24.432    24.949    25.084
imin           23.789    24.212    24.457
imax           26.194    26.262    26.194
excite_mean     0.503     0.501     0.506
fracstop        0.022     0.022     0.016
cjmean          2.914     2.918     2.928

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       178.9     183.5     168.6
kozaiamp         89.6      87.6      83.8