Orbit Fit and Astrometric record for 16SJ57

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: 16SJ57    
# Created Sat Nov 27 02:14:02 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     60 observations of     60
# Arc:   5.10y
# First observation: 2013/10/27
#  Last observation: 2018/12/01
# Chi-squared of fit:    14.31 DOF:    114 RMS:  0.09
# Min/Max residuals:    -0.23    0.32
# Exact a, adot, b, bdot, g, gdot:
  1.803226E-05  3.328134E-02 -1.915860E-06 -3.685485E-03  3.018392E-02 -9.142023E-04
# Covariance matrix:
  2.4666E-13 -2.0519E-13 -1.6041E-14  1.8790E-14 -3.3958E-14 -1.0909E-12
 -2.0519E-13  2.2345E-13  1.8530E-14 -2.2748E-14  5.0824E-14  1.3332E-12
 -1.6041E-14  1.8530E-14  1.0825E-13 -3.6095E-14 -3.8732E-15  1.1774E-13
  1.8790E-14 -2.2748E-14 -3.6095E-14  1.6672E-14 -3.8936E-15 -1.4486E-13
 -3.3958E-14  5.0824E-14 -3.8732E-15 -3.8936E-15  8.5485E-14  3.2636E-13
 -1.0909E-12  1.3332E-12  1.1774E-13 -1.4486E-13  3.2636E-13  8.4929E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -14.405610   30.458569   -0.053579   -0.246573   -0.960441  2456592.647558
# Heliocentric elements and errors
Epoch:              2456592.5000  =  2013/10/27
Mean Anomaly:          338.09443 +/-     0.063
Argument of Peri:      271.42055 +/-     0.074
Long of Asc Node:      145.11772 +/-     0.001
Inclination:            15.32009 +/-     0.000
Eccentricity:         0.07095519 +/-    0.0000
Semi-Major Axis:     36.46453114 +/-    0.0015
Time of Perihelion: 2461486.4143 +/-      14.9
Perihelion:          33.87718359 +/-    0.0019
Aphelion:            39.05187870 +/-    0.0021
Period (y)              220.1984 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           28.48690223 +/-    0.0003
Ecliptic Y           16.81793161 +/-    0.0002
Ecliptic Z           -8.24239398 +/-    0.0001
Ecliptic XDOT        -0.00167737 +/-    0.0000
Ecliptic YDOT         0.00251774 +/-    0.0000
Ecliptic ZDOT        -0.00030301 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   34.09229534 +/-    0.0002
Geocenter to KBO     33.13027745 +/-    0.0003
# Hcoef:  7.32

The following table shows the complete astrometric record for 16SJ57. 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 (16SJ57) followed by the observatory code and reference code for the source of the astrometry.

2013 10  27.14678  02 13 23.51   -01 53 18.9   23.3g 16SJ57    W84  C~3cyl      
2013 11  13.17529  02 11 50.212  -02 00 41.67  22.0z 16SJ57    W84  C~4ybt      
2013 11  13.17529  02 11 50.21   -02 00 41.7   22.1z 16SJ57    W84  C~3cyl      
2014 08  19.38480  02 25 12.750  -00 44 16.66  22.7r 16SJ57    W84  C~4ybt      
2014 08  19.38480  02 25 12.75   -00 44 16.7   22.8r 16SJ57    W84  C~3cyl      
2014 08  19.38618  02 25 12.745  -00 44 16.75  22.3i 16SJ57    W84  C~4ybt      
2014 08  19.38618  02 25 12.75   -00 44 16.8   22.4i 16SJ57    W84  C~3cyl      
2014 10  01.36230  02 23 07.439  -01 10 38.19  22.8r 16SJ57    W84  C~4ybt      
2014 10  01.36230  02 23 07.44   -01 10 38.2   22.9r 16SJ57    W84  C~3cyl      
2014 10  01.36365  02 23 07.432  -01 10 38.14  22.4i 16SJ57    W84  C~4ybt      
2014 10  01.36365  02 23 07.43   -01 10 38.1   22.6i 16SJ57    W84  C~3cyl      
2014 12  16.13766  02 16 48.955  -01 38 45.91  23.4g 16SJ57    W84  C~4ybt      
2014 12  16.13766  02 16 48.96   -01 38 45.9   23.5g 16SJ57    W84  C~3cyl      
2014 12  16.15445  02 16 48.902  -01 38 45.84  22.7r 16SJ57    W84  C~4ybt      
2014 12  16.15445  02 16 48.90   -01 38 45.8   22.8r 16SJ57    W84  C~3cyl      
2014 12  16.15583  02 16 48.896  -01 38 45.88  22.2i 16SJ57    W84  C~4ybt      
2014 12  16.15583  02 16 48.90   -01 38 45.9   22.4i 16SJ57    W84  C~3cyl      
2014 12  24.13487  02 16 25.069  -01 38 01.37  23.1g 16SJ57    W84  C~4ybt      
2014 12  24.13487  02 16 25.07   -01 38 01.4   23.2g 16SJ57    W84  C~3cyl      
2015 01  20.05897  02 15 54.065  -01 29 44.14  22.6r 16SJ57    W84  C~4ybt      
2015 01  20.05897  02 15 54.07   -01 29 44.2   22.8r 16SJ57    W84  C~3cyl      
2015 01  21.04868  02 15 54.493  -01 29 16.75  23.2g 16SJ57    W84  C~4ybt      
2015 01  21.04868  02 15 54.49   -01 29 16.8   23.4g 16SJ57    W84  C~3cyl      
2015 01  21.05005  02 15 54.503  -01 29 16.45  22.6z 16SJ57    W84  C~4ybt      
2015 12  14.16018  02 24 20.04   -01 11 43.4   22.6g 16SJ57    W84  C~3cyl      
2016 09  23.28457  02 38 32.983  -00 10 59.66  22.0i 16SJ57    W84  C~4ybt      
2016 09  23.28457  02 38 32.98   -00 10 59.6   22.4i 16SJ57    W84  C~3cyl      
2016 09  24.27213  02 38 29.092  -00 11 37.28  22.5r 16SJ57    W84  C~4ybt      
2016 09  24.27213  02 38 29.09   -00 11 37.3   22.7r 16SJ57    W84  C~3cyl      
2016 09  27.44112  02 38 16.10   -00 13 37.8   23.0g 16SJ57    568  C~3sxZ      
2016 09  27.47837  02 38 15.94   -00 13 39.2   23.2g 16SJ57    568  C~2eAI      
2016 09  27.47838  02 38 15.94   -00 13 39.2   23.2g 16SJ57    568  C~3sxZ      
2016 09  27.53877  02 38 15.68   -00 13 41.5   23.1g 16SJ57    568  C~2eAI      
2016 09  27.56068  02 38 15.59   -00 13 42.4   23.2g 16SJ57    568  C~3sxZ      
2016 09  27.59860  02 38 15.42   -00 13 43.8   23.1g 16SJ57    568  C~2eAI      
2016 09  27.59861  02 38 15.42   -00 13 43.8   23.1g 16SJ57    568  C~3sxZ      
2016 09  28.45013  02 38 11.81   -00 14 16.1   23.2g 16SJ57    568  C~3sxZ      
2016 09  28.48764  02 38 11.64   -00 14 17.5   23.2g 16SJ57    568  C~2eAI      
2016 10  27.21819  02 35 45.996  -00 31 09.39  22.2r 16SJ57    W84  C~4ybt      
2016 10  27.21819  02 35 46.00   -00 31 09.4   22.3r 16SJ57    W84  C~3cyl      
2016 10  27.21957  02 35 45.983  -00 31 09.59  22.6g 16SJ57    W84  C~4ybt      
2016 10  27.21957  02 35 45.98   -00 31 09.5   22.9g 16SJ57    W84  C~3cyl      
2016 11  04.16838  02 35 01.330  -00 34 59.56  22.6i 16SJ57    W84  C~4ybt      
2016 11  04.16838  02 35 01.33   -00 34 59.6   22.6i 16SJ57    W84  C~3cyl      
2016 11  10.15486  02 34 27.745  -00 37 31.17  22.5z 16SJ57    W84  C~4ybt      
2016 11  10.15486  02 34 27.74   -00 37 31.2   22.8z 16SJ57    W84  C~3cyl      
2016 11  29.12930  02 32 47.191  -00 43 06.07  22.4r 16SJ57    W84  C~4ybt      
2016 11  29.12930  02 32 47.19   -00 43 06.0   22.4r 16SJ57    W84  C~3cyl      
2016 11  29.13068  02 32 47.205  -00 43 06.10  22.7g 16SJ57    W84  C~4ybt      
2016 11  29.13068  02 32 47.21   -00 43 06.1   23.1g 16SJ57    W84  C~3cyl      
2017 09  18.39879  02 46 17.266  +00 19 36.89  22.1i 16SJ57    W84  C~4ybt      
2017 10  29.29102  02 43 04.349  -00 04 31.37  22.6r 16SJ57    W84  C~4ybt      
2017 10  29.29240  02 43 04.340  -00 04 31.47  22.2i 16SJ57    W84  C~4ybt      
2017 10  29.29380  02 43 04.333  -00 04 31.47  23.1g 16SJ57    W84  C~4ybt      
2017 11  27.20401  02 40 24.834  -00 15 13.52  22.2z 16SJ57    W84  C~4ybt      
2017 11  27.20538  02 40 24.835  -00 15 13.41  22.8i 16SJ57    W84  C~4ybt      
2017 12  08.04622  02 39 32.581  -00 16 54.45  23.0r 16SJ57    W84  C~4ybt      
2018 11  16.15370  02 48 53.926  +00 15 32.85  22.7i 16SJ57    W84  C~4ybt      
2018 12  01.16696  02 47 33.423  +00 11 31.85  22.7r 16SJ57    W84  C~4ybt      
2018 12  01.16833  02 47 33.417  +00 11 31.80  23.2g 16SJ57    W84  C~4ybt      

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    -0.11       0.00    -0.05
     2   0.0466      0.00    -0.04       0.00     0.00
     3   0.0466      0.00    -0.01       0.00     0.03
     4   0.8111      0.00     0.07       0.00     0.03
     5   0.8111      0.00     0.07       0.00     0.07
     6   0.8111      0.00     0.09       0.00    -0.03
     7   0.8111      0.00     0.02       0.00     0.02
     8   0.9287      0.00     0.10       0.00    -0.04
     9   0.9287      0.00     0.08       0.00    -0.03
    10   0.9287      0.00     0.04       0.00     0.11
    11   0.9287      0.00     0.07       0.00     0.07
    12   1.1362      0.00    -0.02       0.00     0.01
    13   1.1362      0.00    -0.09       0.00    -0.00
    14   1.1362      0.00    -0.02       0.00     0.03
    15   1.1362      0.00    -0.05       0.00     0.07
    16   1.1362      0.00     0.02       0.00    -0.04
    17   1.1362      0.00    -0.04       0.00    -0.02
    18   1.1581      0.00    -0.07       0.00    -0.02
    19   1.1581      0.00    -0.08       0.00     0.01
    20   1.2318      0.00    -0.01       0.00     0.00
    21   1.2318      0.00    -0.09       0.00     0.06
    22   1.2345      0.00     0.02       0.00    -0.23
    23   1.2345      0.00     0.06       0.00    -0.18
    24   1.2345      0.00     0.20       0.00     0.08
    25   2.1301      0.00     0.19       0.00    -0.21
    26   2.9080      0.00     0.05       0.00     0.12
    27   2.9080      0.00     0.10       0.00     0.06
    28   2.9107      0.00     0.01       0.00    -0.04
    29   2.9107      0.00     0.04       0.00    -0.02
    30   2.9194      0.00    -0.13       0.00     0.10
    31   2.9195      0.00    -0.12       0.00     0.11
    32   2.9195      0.00    -0.12       0.00     0.11
    33   2.9196      0.00    -0.10       0.00     0.11
    34   2.9197      0.00    -0.03       0.00     0.04
    35   2.9198      0.00    -0.12       0.00     0.08
    36   2.9198      0.00    -0.12       0.00     0.08
    37   2.9221      0.00    -0.08       0.00     0.08
    38   2.9222      0.00    -0.16       0.00     0.10
    39   3.0009      0.00     0.06       0.00     0.06
    40   3.0009      0.00     0.00       0.00     0.07
    41   3.0009      0.00    -0.12       0.00     0.00
    42   3.0009      0.00    -0.07       0.00    -0.09
    43   3.0226      0.00     0.01       0.00    -0.14
    44   3.0226      0.00     0.01       0.00    -0.10
    45   3.0390      0.00     0.01       0.00    -0.07
    46   3.0390      0.00     0.08       0.00    -0.04
    47   3.0910      0.00    -0.08       0.00     0.05
    48   3.0910      0.00    -0.07       0.00    -0.02
    49   3.0910      0.00     0.32       0.00    -0.04
    50   3.0910      0.00     0.24       0.00    -0.04
    51   3.8939      0.00     0.02       0.00    -0.09
    52   4.0059      0.00     0.03       0.00     0.03
    53   4.0059      0.00     0.02       0.00    -0.03
    54   4.0059      0.00     0.03       0.00     0.01
    55   4.0850      0.00    -0.06       0.00    -0.11
    56   4.0850      0.00     0.06       0.00     0.01
    57   4.1147      0.00     0.01       0.00    -0.03
    58   5.0541      0.00     0.06       0.00     0.00
    59   5.0952      0.00     0.05       0.00     0.04
    60   5.0952      0.00     0.06       0.00     0.00

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.

16SJ57    quality flag:3

Type:           4:3E      4:3E      4:3E

axisobj        36.640    36.640    36.640
ecceobj         0.074     0.074     0.074
incobj         15.298    15.298    15.298
qmin           32.969    32.972    32.947
qmax           40.288    40.358    40.332
amean          36.482    36.482    36.482
amin           36.132    36.144    36.129
amax           36.862    36.862    36.859
emean           0.072     0.072     0.072
emin            0.048     0.048     0.048
emax            0.095     0.096     0.096
imean           9.282     9.287     9.277
imin            5.802     5.803     5.793
imax           14.154    14.154    14.154
excite_mean     0.178     0.178     0.177
fracstop        1.000     1.000     1.000
cjmean          2.991     2.991     2.991

libcent 0       179.9     179.7     180.1
libamp  0        85.7      85.7      85.6
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       179.8     179.9     180.2
kozaiamp        180.0     180.0     179.9