Orbit Fit and Astrometric record for 16GZ251

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: 16GZ251   
# Created Fri Dec  3 02:13:48 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     63 observations of     63
# Arc:   6.18y
# First observation: 2011/03/13
#  Last observation: 2017/05/17
# Chi-squared of fit:    82.31 DOF:    120 RMS:  0.20
# Min/Max residuals:    -0.63    0.53
# Exact a, adot, b, bdot, g, gdot:
  3.597027E-05  2.350995E-01 -5.989993E-06 -4.000361E-02  1.035050E-01  1.894864E-02
# Covariance matrix:
  3.0817E-13 -5.2708E-14  9.3595E-15  9.5251E-13  8.5359E-13  1.1858E-13
 -5.2708E-14  5.4398E-10  2.6402E-12  1.5974E-10  2.0469E-10  4.5498E-10
  9.3595E-15  2.6402E-12  3.0332E-13 -6.9364E-13  1.1846E-12  2.5981E-12
  9.5251E-13  1.5974E-10 -6.9364E-13  1.5353E-10  7.5626E-11  1.1925E-10
  8.5359E-13  2.0469E-10  1.1846E-12  7.5626E-11  9.3149E-11  1.8885E-10
  1.1858E-13  4.5498E-10  2.5981E-12  1.1925E-10  1.8885E-10  5.9455E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   29.964109  146.982017   -0.429316    0.449946   -0.780530  2455634.039326
# Heliocentric elements and errors
Epoch:              2455634.5000  =  2011/03/14
Mean Anomaly:            9.01017 +/-     0.002
Argument of Peri:       85.19526 +/-     0.008
Long of Asc Node:       37.27595 +/-     0.009
Inclination:            29.35224 +/-     0.001
Eccentricity:         0.42939959 +/-    0.0000
Semi-Major Axis:     17.83011559 +/-    0.0000
Time of Perihelion: 2454946.2283 +/-       0.1
Perihelion:          10.17387129 +/-    0.0000
Aphelion:            25.48635990 +/-    0.0000
Period (y)               75.2904 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           -8.00373963 +/-    0.0000
Ecliptic Y            4.69122745 +/-    0.0000
Ecliptic Z            4.82541173 +/-    0.0000
Ecliptic XDOT        -0.00419728 +/-    0.0000
Ecliptic YDOT        -0.00468377 +/-    0.0000
Ecliptic ZDOT        -0.00066636 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   10.45710936 +/-    0.0000
Geocenter to KBO      9.66137481 +/-    0.0000
# Hcoef: 11.08

The following table shows the complete astrometric record for 16GZ251. 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 (16GZ251) followed by the observatory code and reference code for the source of the astrometry.

2011 03  13.53856  10 48 27.187  +40 14 32.38  20.7G 16GZ251   F51  C~2r7d      
2011 03  14.41969  10 48 09.866  +40 14 30.38  21.1G 16GZ251   F51  C~2r7d      
2011 03  14.43283  10 48 09.609  +40 14 30.33  21.0G 16GZ251   F51  C~2r7d      
2011 03  14.44697  10 48 09.322  +40 14 30.30  21.0G 16GZ251   F51  C~2r7d      
2011 03  14.45862  10 48 09.086  +40 14 30.25  20.8G 16GZ251   F51  C~2r7d      
2011 05  01.29052  10 37 50.642  +38 59 30.65  22.0G 16GZ251   F51  C~2r7d      
2012 02  01.66322  11 49 58.618  +30 44 27.30  21.4G 16GZ251   F51  C~2r7d      
2012 02  01.67488  11 49 58.491  +30 44 28.90  21.5G 16GZ251   F51  C~2r7d      
2012 02  27.57587  11 43 39.000  +31 32 29.93  21.2G 16GZ251   F51  C~2r7d      
2012 02  27.58647  11 43 38.825  +31 32 30.89  21.0G 16GZ251   F51  C~2r7d      
2013 03  02.58017  12 21 23.232  +22 51 21.34  21.8G 16GZ251   F51  C~2r7d      
2013 03  06.53552  12 20 22.072  +22 56 58.46  21.3G 16GZ251   F51  C~2r7d      
2014 01  25.66550  12 57 14.109  +13 43 38.33  22.3G 16GZ251   F51  C~2r7d      
2014 02  25.63949  12 53 30.542  +14 23 56.41  22.2G 16GZ251   F51  C~2r7d      
2014 03  09.63806  12 50 56.334  +14 40 08.71  22.1G 16GZ251   F51  C~2r7d      
2014 05  29.31959  12 33 27.815  +14 40 25.80  22.0G 16GZ251   F51  C~2r7d      
2014 05  29.33144  12 33 27.745  +14 40 24.92  22.0G 16GZ251   F51  C~2r7d      
2014 05  29.35516  12 33 27.572  +14 40 22.55  21.7G 16GZ251   F51  C~2r7d      
2014 06  11.36053  12 32 41.428  +14 16 56.15  21.8G 16GZ251   F51  C~2r7d      
2015 02  27.48184  13 19 00.163  +06 50 13.63  21.9G 16GZ251   F51  C~2r7d      
2015 03  25.43344  13 13 38.148  +07 17 59.02  21.6w 16GZ251   F51  C~1rfC      
2015 03  25.46315  13 13 37.709  +07 18 00.93  21.4w 16GZ251   F51  C~1rfC      
2015 03  25.47817  13 13 37.482  +07 18 01.77  21.7w 16GZ251   F51  C~1rfC      
2015 03  27.46564  13 13 08.831  +07 19 56.14  21.8G 16GZ251   F51  C~2r7d      
2015 03  27.51396  13 13 08.113  +07 19 59.03  22.3G 16GZ251   F51  C~2r7d      
2015 04  16.37311  13 08 13.272  +07 34 54.97  21.9G 16GZ251   F51  C~2r7d      
2015 04  16.38762  13 08 13.063  +07 34 55.44  21.8G 16GZ251   F51  C~2r7d      
2015 04  18.37256  13 07 43.885  +07 35 53.90  21.7G 16GZ251   F51  C~2r7d      
2015 04  18.38737  13 07 43.638  +07 35 53.91  21.0G 16GZ251   F51  C~2r7d      
2015 05  21.27346  13 00 53.555  +07 34 00.34  22.0w 16GZ251   F51  C~1rfC      
2015 05  21.28779  13 00 53.394  +07 33 59.88  21.9w 16GZ251   F51  C~1rfC      
2015 05  21.30211  13 00 53.279  +07 33 59.06  22.2w 16GZ251   F51  C~1rfC      
2015 05  22.28007  13 00 44.205  +07 33 22.05  22.4G 16GZ251   F51  C~2r7d      
2015 05  22.30528  13 00 43.949  +07 33 21.27  22.4G 16GZ251   F51  C~2r7d      
2015 05  22.31784  13 00 43.843  +07 33 20.74  22.0G 16GZ251   F51  C~2r7d      
2016 02  15.63823  13 42 41.010  -00 05 08.30  22.3G 16GZ251   F51  C~2r7d      
2016 03  11.51733  13 39 18.84   +00 12 26.3   22.5R 16GZ251   F51  C~1rfC      
2016 03  11.52856  13 39 18.74   +00 12 27.4   23.0R 16GZ251   F51  C~1rfC      
2016 03  11.53981  13 39 18.59   +00 12 27.8   22.1R 16GZ251   F51  C~1rfC      
2016 04  01.41763  13 34 55.070  +00 30 18.44  22.4w 16GZ251   F51  C~1rfC      
2016 04  01.43103  13 34 54.888  +00 30 19.35  21.7w 16GZ251   F51  C~1rfC      
2016 04  01.44448  13 34 54.704  +00 30 20.03  21.8w 16GZ251   F51  C~1rfC      
2016 04  01.45796  13 34 54.498  +00 30 20.44  21.7w 16GZ251   F51  C~1rfC      
2016 04  05.42155  13 33 59.00   +00 33 32.8   21.8R 16GZ251   F51  C~1rfC      
2016 04  05.43644  13 33 58.79   +00 33 33.6   22.0R 16GZ251   F51  C~1rfC      
2016 04  09.49512  13 33 01.08   +00 36 40.7   22.3R 16GZ251   F51  C~1rfC      
2016 04  09.50866  13 33 00.87   +00 36 41.2   22.7R 16GZ251   F51  C~1rfC      
2016 04  09.52188  13 33 00.67   +00 36 42.2   21.8R 16GZ251   F51  C~1rfC      
2016 04  28.35777  13 28 34.40   +00 47 55.9   23.0R 16GZ251   F51  C~1rfC      
2016 04  28.36895  13 28 34.23   +00 47 56.2   23.0R 16GZ251   F51  C~1rfC      
2016 04  28.38015  13 28 34.08   +00 47 56.8   22.8R 16GZ251   F51  C~1rfC      
2016 05  05.36136  13 27 01.336  +00 50 19.31  21.8G 16GZ251   F51  C~2r7d      
2016 05  05.38445  13 27 01.017  +00 50 19.68  21.6G 16GZ251   F51  C~2r7d      
2016 05  05.39607  13 27 00.869  +00 50 19.90  21.8G 16GZ251   F51  C~2r7d      
2016 06  09.27241  13 21 21.516  +00 42 58.83  22.4G 16GZ251   F51  C~2r7d      
2016 06  09.28524  13 21 21.447  +00 42 58.31  22.2G 16GZ251   F51  C~2r7d      
2016 06  09.29845  13 21 21.369  +00 42 57.74  22.0G 16GZ251   F51  C~2r7d      
2016 06  09.31125  13 21 21.281  +00 42 57.18  22.3G 16GZ251   F51  C~2r7d      
2017 03  22.42840  13 57 42.242  -05 46 45.10  22.5G 16GZ251   F51  C~2r7d      
2017 04  26.37251  13 49 59.787  -05 23 17.57  22.4G 16GZ251   F51  C~2r7d      
2017 04  26.39383  13 49 59.486  -05 23 16.75  22.0G 16GZ251   F51  C~2r7d      
2017 04  26.40451  13 49 59.356  -05 23 16.52  22.2G 16GZ251   F51  C~2r7d      
2017 05  17.29825  13 45 30.978  -05 14 15.18  21.2G 16GZ251   F51  C~2r7d      

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    -0.02
     2   0.0024      0.00    -0.12       0.00    -0.07
     3   0.0024      0.00    -0.01       0.00    -0.06
     4   0.0025      0.00    -0.06       0.00    -0.02
     5   0.0025      0.00    -0.09       0.00    -0.01
     6   0.1335      0.00     0.04       0.00    -0.13
     7   0.8901      0.00     0.02       0.00    -0.07
     8   0.8902      0.00     0.09       0.00     0.07
     9   0.9611      0.00    -0.04       0.00    -0.04
    10   0.9611      0.00     0.17       0.00     0.01
    11   1.9714      0.00    -0.51       0.00     0.53
    12   1.9822      0.00     0.08       0.00     0.03
    13   2.8724      0.00     0.37       0.00    -0.02
    14   2.9572      0.00     0.03       0.00    -0.10
    15   2.9900      0.00     0.42       0.00    -0.15
    16   3.2109      0.00     0.12       0.00    -0.17
    17   3.2109      0.00     0.11       0.00     0.07
    18   3.2110      0.00    -0.43       0.00    -0.05
    19   3.2466      0.00     0.08       0.00    -0.31
    20   3.9615      0.00     0.15       0.00    -0.33
    21   4.0326      0.00     0.12       0.00     0.09
    22   4.0326      0.00     0.05       0.00     0.26
    23   4.0327      0.00    -0.06       0.00     0.22
    24   4.0381      0.00     0.00       0.00    -0.08
    25   4.0383      0.00    -0.04       0.00     0.07
    26   4.0926      0.00    -0.01       0.00    -0.02
    27   4.0927      0.00     0.13       0.00    -0.01
    28   4.0981      0.00     0.16       0.00    -0.03
    29   4.0981      0.00    -0.23       0.00    -0.43
    30   4.1882      0.00     0.32       0.00     0.21
    31   4.1882      0.00    -0.02       0.00     0.28
    32   4.1883      0.00     0.34       0.00    -0.02
    33   4.1909      0.00     0.11       0.00     0.08
    34   4.1910      0.00    -0.16       0.00     0.28
    35   4.1910      0.00     0.03       0.00     0.24
    36   4.9284      0.00     0.19       0.00     0.01
    37   4.9965      0.00    -0.63       0.00    -0.24
    38   4.9966      0.00    -0.23       0.00     0.29
    39   4.9966      0.00    -0.58       0.00     0.12
    40   5.0537      0.00     0.17       0.00    -0.27
    41   5.0538      0.00     0.28       0.00    -0.02
    42   5.0538      0.00     0.37       0.00    -0.01
    43   5.0539      0.00     0.14       0.00    -0.27
    44   5.0647      0.00    -0.05       0.00    -0.01
    45   5.0647      0.00     0.01       0.00     0.08
    46   5.0759      0.00    -0.20       0.00     0.10
    47   5.0759      0.00    -0.39       0.00    -0.01
    48   5.0759      0.00    -0.51       0.00     0.40
    49   5.1275      0.00    -0.16       0.00    -0.02
    50   5.1275      0.00    -0.38       0.00     0.00
    51   5.1276      0.00    -0.29       0.00     0.32
    52   5.1467      0.00     0.20       0.00    -0.04
    53   5.1467      0.00    -0.03       0.00    -0.03
    54   5.1468      0.00     0.05       0.00     0.01
    55   5.2423      0.00    -0.02       0.00    -0.03
    56   5.2423      0.00     0.13       0.00    -0.00
    57   5.2423      0.00     0.17       0.00    -0.01
    58   5.2424      0.00     0.02       0.00    -0.03
    59   6.0257      0.00     0.22       0.00    -0.07
    60   6.1214      0.00     0.02       0.00    -0.13
    61   6.1214      0.00    -0.03       0.00    -0.05
    62   6.1215      0.00     0.26       0.00    -0.19
    63   6.1787      0.00    -0.16       0.00    -0.12

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.

16GZ251    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        17.941    17.940    17.941
ecceobj         0.430     0.430     0.430
incobj         29.297    29.297    29.297
qmin           10.161    10.161    10.161
qmax           25.658    25.658    25.658
amean          17.712    17.556    17.778
amin           17.415    16.795    17.382
amax           17.941    17.995    17.941
emean           0.411     0.323     0.413
emin            0.386     0.253     0.380
emax            0.431     0.431     0.431
imean          29.598    31.161    29.482
imin           28.800    28.800    28.800
imax           30.534    32.958    30.722
excite_mean     0.643     0.612     0.643
fracstop        0.002     0.051     0.002
cjmean          2.907     2.948     2.903

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       109.4     160.5     107.9
kozaiamp         21.6     179.8      23.0