Orbit Fit and Astrometric record for 13UT22

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: 13UT22    
# Created Thu Dec  9 02:12:11 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     65 observations of     65
# Arc:   5.04y
# First observation: 2012/12/07
#  Last observation: 2017/12/21
# Chi-squared of fit:    21.73 DOF:    124 RMS:  0.10
# Min/Max residuals:    -0.28    0.37
# Exact a, adot, b, bdot, g, gdot:
  1.585280E-05  2.649725E-02 -8.307416E-06 -1.376894E-02  2.758005E-02  4.815317E-03
# Covariance matrix:
  3.0668E-13 -2.4375E-13 -9.5621E-14  1.1055E-13 -1.6067E-13 -1.4399E-12
 -2.4375E-13  2.3874E-13  9.8649E-14 -1.1448E-13  1.4261E-13  1.4912E-12
 -9.5621E-14  9.8649E-14  1.3121E-13 -7.0997E-14  6.5752E-14  6.3800E-13
  1.1055E-13 -1.1448E-13 -7.0997E-14  6.4125E-14 -7.4404E-14 -7.3955E-13
 -1.6067E-13  1.4261E-13  6.5752E-14 -7.4404E-14  1.9718E-13  9.6860E-13
 -1.4399E-12  1.4912E-12  6.3800E-13 -7.3955E-13  9.6860E-13  9.6329E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -11.229381   33.447358   -0.655521   -0.142414   -0.717816  2456268.649864
# Heliocentric elements and errors
Epoch:              2456268.5000  =  2012/12/07
Mean Anomaly:           42.92999 +/-     0.008
Argument of Peri:      139.77068 +/-     0.016
Long of Asc Node:      194.21653 +/-     0.000
Inclination:            29.31259 +/-     0.000
Eccentricity:         0.21375084 +/-    0.0001
Semi-Major Axis:     42.49253423 +/-    0.0028
Time of Perihelion: 2444203.5449 +/-       2.5
Perihelion:          33.40971922 +/-    0.0048
Aphelion:            51.57534923 +/-    0.0055
Period (y)              276.9983 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.92467393 +/-    0.0005
Ecliptic Y           20.55498012 +/-    0.0003
Ecliptic Z           -7.06115933 +/-    0.0001
Ecliptic XDOT        -0.00128677 +/-    0.0000
Ecliptic YDOT         0.00230804 +/-    0.0000
Ecliptic ZDOT        -0.00143362 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.98439315 +/-    0.0004
Geocenter to KBO     36.25803401 +/-    0.0006
# Hcoef:  7.11

The following table shows the complete astrometric record for 13UT22. 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 (13UT22) followed by the observatory code and reference code for the source of the astrometry.

2012 12  07.149086 02 20 04.59   +02 05 05.1   22.8r 13UT22    W84  C~39oe      
2013 10  29.16653  02 29 56.965  +02 07 04.33  23.5g 13UT22    W84  C~4yRJ      
2013 10  29.16653  02 29 56.96   +02 07 04.4   24.1g 13UT22    W84  C~3clS      
2013 11  08.24029  02 29 05.195  +02 01 40.71  23.4g 13UT22    W84  C~4yRJ      
2013 11  08.24029  02 29 05.20   +02 01 40.7   23.5g 13UT22    W84  C~3clS      
2013 11  08.24166  02 29 05.189  +02 01 40.70  23.0r 13UT22    W84  C~4yRJ      
2013 11  08.24166  02 29 05.19   +02 01 40.7   23.0r 13UT22    W84  C~3clS      
2013 11  08.25815  02 29 05.107  +02 01 40.20  22.0i 13UT22    W84  C~4yRJ      
2013 11  08.25815  02 29 05.11   +02 01 40.2   22.2i 13UT22    W84  C~3clS      
2013 11  13.13651  02 28 40.406  +01 59 18.85  22.3z 13UT22    W84  C~4yRJ      
2013 11  13.13651  02 28 40.41   +01 59 18.9   22.5z 13UT22    W84  C~3clS      
2013 11  23.21306  02 27 51.316  +01 55 04.04  22.3i 13UT22    W84  C~4yRJ      
2013 11  23.21306  02 27 51.32   +01 55 04.0   22.3i 13UT22    W84  C~3clS      
2013 11  23.21444  02 27 51.314  +01 55 03.92  22.2z 13UT22    W84  C~4yRJ      
2013 11  23.21444  02 27 51.31   +01 55 03.9   22.4z 13UT22    W84  C~3clS      
2013 12  01.18708  02 27 15.392  +01 52 21.87  23.8g 13UT22    W84  C~4yRJ      
2013 12  01.18708  02 27 15.39   +01 52 21.9   23.9g 13UT22    W84  C~3clS      
2013 12  01.18848  02 27 15.376  +01 52 21.91  23.1r 13UT22    W84  C~4yRJ      
2013 12  01.18848  02 27 15.38   +01 52 21.9   23.1r 13UT22    W84  C~3clS      
2013 12  28.11689  02 25 45.243  +01 48 08.52  24.1g 13UT22    W84  C~4yRJ      
2013 12  28.11689  02 25 45.24   +01 48 08.5   24.3g 13UT22    W84  C~3clS      
2013 12  28.11827  02 25 45.227  +01 48 08.60  22.8r 13UT22    W84  C~4yRJ      
2013 12  28.11827  02 25 45.22   +01 48 08.7   22.5r 13UT22    W84  C~3clS      
2013 12  28.11963  02 25 45.224  +01 48 08.63  22.7i 13UT22    W84  C~4yRJ      
2013 12  28.11963  02 25 45.22   +01 48 08.6   22.6i 13UT22    W84  C~3clS      
2014 09  24.30187  02 39 18.579  +02 14 21.03  23.9g 13UT22    W84  C~4yRJ      
2014 09  24.30187  02 39 18.58   +02 14 21.0   24.1g 13UT22    W84  C~3clS      
2015 12  15.16097  02 39 38.301  +01 20 32.62  22.5i 13UT22    W84  C~4yRJ      
2015 12  15.16097  02 39 38.30   +01 20 32.6   22.5i 13UT22    W84  C~3clS      
2016 10  26.30851  02 50 03.046  +01 24 43.82  23.4g 13UT22    W84  C~4yRJ      
2016 10  28.226620 02 49 53.40   +01 23 39.2   22.4i 13UT22    W84  C~39oe      
2016 10  28.22715  02 49 53.405  +01 23 39.18  22.4i 13UT22    W84  C~4yRJ      
2016 10  29.22407  02 49 48.358  +01 23 05.95  22.6r 13UT22    W84  C~4yRJ      
2016 10  29.22407  02 49 48.36   +01 23 06.0   22.6r 13UT22    W84  C~3clS      
2016 11  10.25462  02 48 46.790  +01 16 55.27  22.3z 13UT22    W84  C~4yRJ      
2016 11  10.25462  02 48 46.79   +01 16 55.3   22.5z 13UT22    W84  C~3clS      
2016 11  25.13758  02 47 32.512  +01 10 52.08  22.4r 13UT22    W84  C~4yRJ      
2016 11  25.13758  02 47 32.51   +01 10 52.1   22.3r 13UT22    W84  C~3clS      
2016 11  25.152060 02 47 32.43   +01 10 51.4   23.7g 13UT22    W84  C~39oe      
2016 11  25.15258  02 47 32.432  +01 10 51.34  24.1g 13UT22    W84  C~4yRJ      
2016 12  21.12610  02 45 45.606  +01 05 31.36  23.0i 13UT22    W84  C~4yRJ      
2016 12  21.12610  02 45 45.61   +01 05 31.4   23.1i 13UT22    W84  C~3clS      
2016 12  21.12887  02 45 45.592  +01 05 31.50  23.7g 13UT22    W84  C~4yRJ      
2017 08  27.407234 02 59 45.44   +01 47 20.5   23.0r 13UT22    W84  C~39oe      
2017 08  27.40776  02 59 45.444  +01 47 20.56  23.0r 13UT22    W84  C~4yRJ      
2017 09  01.406412 02 59 40.45   +01 44 29.5   20.6i 13UT22    W84  C~39oe      
2017 09  18.33217  02 59 06.170  +01 34 06.49  24.2g 13UT22    W84  C~4yRJ      
2017 09  24.389352 02 58 47.86   +01 30 13.4   22.7i 13UT22    W84  C~39oe      
2017 09  24.38988  02 58 47.865  +01 30 13.47  22.6i 13UT22    W84  C~4yRJ      
2017 09  25.32600  02 58 44.783  +01 29 37.28  23.7g 13UT22    W84  C~4yRJ      
2017 09  26.323738 02 58 41.41   +01 28 58.6   22.7r 13UT22    W84  C~39oe      
2017 09  26.32426  02 58 41.418  +01 28 58.59  22.5r 13UT22    W84  C~4yRJ      
2017 11  01.174988 02 56 02.96   +01 07 09.1   22.3z 13UT22    W84  C~39oe      
2017 11  01.17552  02 56 02.961  +01 07 09.04  22.3z 13UT22    W84  C~4yRJ      
2017 11  01.196053 02 56 02.85   +01 07 08.2   22.5z 13UT22    W84  C~39oe      
2017 11  01.19658  02 56 02.850  +01 07 08.25  22.4z 13UT22    W84  C~4yRJ      
2017 11  22.167025 02 54 16.30   +00 57 37.3   22.0z 13UT22    W84  C~39oe      
2017 12  07.094329 02 53 06.65   +00 53 16.2   24.0g 13UT22    W84  C~39oe      
2017 12  07.096678 02 53 06.64   +00 53 16.1   22.9r 13UT22    W84  C~39oe      
2017 12  07.101412 02 53 06.63   +00 53 16.1   22.6z 13UT22    W84  C~39oe      
2017 12  13.111956 02 52 41.69   +00 52 10.0   23.7g 13UT22    W84  C~39oe      
2017 12  21.152222 02 52 12.09   +00 51 18.6   22.9g 13UT22    W84  C~39oe      
2017 12  21.154595 02 52 12.08   +00 51 18.5   22.3r 13UT22    W84  C~39oe      
2017 12  21.159317 02 52 12.03   +00 51 18.7   22.1z 13UT22    W84  C~39oe      
2017 12  21.161968 02 52 12.03   +00 51 18.7   22.1z 13UT22    W84  C~39oe      

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    -0.16       0.00     0.04
     2   0.8926      0.00     0.01       0.00    -0.17
     3   0.8926      0.00     0.09       0.00    -0.24
     4   0.9202      0.00     0.01       0.00    -0.05
     5   0.9202      0.00    -0.06       0.00    -0.04
     6   0.9202      0.00    -0.05       0.00    -0.01
     7   0.9202      0.00    -0.03       0.00    -0.01
     8   0.9202      0.00     0.01       0.00    -0.01
     9   0.9202      0.00     0.05       0.00    -0.01
    10   0.9336      0.00     0.03       0.00     0.03
    11   0.9336      0.00     0.09       0.00     0.08
    12   0.9612      0.00    -0.05       0.00     0.07
    13   0.9612      0.00     0.01       0.00     0.03
    14   0.9612      0.00     0.02       0.00    -0.02
    15   0.9612      0.00    -0.04       0.00    -0.04
    16   0.9830      0.00     0.13       0.00    -0.00
    17   0.9830      0.00     0.10       0.00     0.03
    18   0.9830      0.00     0.05       0.00     0.05
    19   0.9830      0.00    -0.01       0.00     0.06
    20   1.0567      0.00     0.09       0.00    -0.06
    21   1.0567      0.00     0.14       0.00    -0.04
    22   1.0567      0.00    -0.16       0.00     0.15
    23   1.0567      0.00    -0.05       0.00     0.05
    24   1.0567      0.00    -0.11       0.00     0.05
    25   1.0567      0.00    -0.05       0.00     0.08
    26   1.7964      0.00     0.04       0.00    -0.01
    27   1.7964      0.00     0.02       0.00     0.02
    28   3.0199      0.00    -0.11       0.00    -0.06
    29   3.0199      0.00    -0.09       0.00    -0.04
    30   3.8854      0.00     0.07       0.00    -0.28
    31   3.8907      0.00    -0.06       0.00     0.02
    32   3.8907      0.00     0.06       0.00     0.02
    33   3.8934      0.00    -0.01       0.00     0.09
    34   3.8934      0.00    -0.04       0.00     0.04
    35   3.9264      0.00    -0.09       0.00     0.00
    36   3.9264      0.00    -0.09       0.00    -0.03
    37   3.9671      0.00    -0.01       0.00     0.30
    38   3.9671      0.00     0.02       0.00     0.28
    39   3.9672      0.00    -0.15       0.00    -0.10
    40   3.9672      0.00    -0.08       0.00    -0.15
    41   4.0383      0.00     0.19       0.00     0.00
    42   4.0383      0.00     0.13       0.00    -0.04
    43   4.0383      0.00     0.06       0.00     0.11
    44   4.7208      0.00    -0.04       0.00    -0.09
    45   4.7208      0.00     0.03       0.00    -0.02
    46   4.7344      0.00     0.23       0.00    -0.02
    47   4.7808      0.00    -0.01       0.00     0.03
    48   4.7974      0.00    -0.04       0.00    -0.05
    49   4.7974      0.00     0.06       0.00     0.04
    50   4.7999      0.00     0.05       0.00     0.05
    51   4.8027      0.00    -0.11       0.00    -0.03
    52   4.8027      0.00     0.04       0.00    -0.02
    53   4.9008      0.00    -0.01       0.00     0.09
    54   4.9008      0.00     0.05       0.00     0.05
    55   4.9009      0.00    -0.03       0.00    -0.13
    56   4.9009      0.00     0.01       0.00    -0.07
    57   4.9583      0.00     0.13       0.00     0.10
    58   4.9992      0.00    -0.20       0.00     0.02
    59   4.9992      0.00    -0.19       0.00    -0.05
    60   4.9992      0.00    -0.03       0.00     0.01
    61   5.0156      0.00    -0.16       0.00    -0.09
    62   5.0377      0.00     0.37       0.00    -0.02
    63   5.0377      0.00     0.35       0.00    -0.11
    64   5.0377      0.00    -0.16       0.00     0.11
    65   5.0377      0.00    -0.02       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.

13UT22    quality flag:3

Type:          5:3EE     5:3EE     5:3EE

axisobj        42.647    42.647    42.647
ecceobj         0.217     0.217     0.217
incobj         29.264    29.264    29.264
qmin           32.314    32.313    32.314
qmax           52.671    52.671    52.670
amean          42.325    42.325    42.325
amin           41.960    41.960    41.960
amax           42.776    42.776    42.776
emean           0.181     0.181     0.181
emin            0.110     0.110     0.110
emax            0.234     0.234     0.234
imean          29.795    29.795    29.795
imin           28.969    28.969    28.969
imax           30.879    30.879    30.879
excite_mean     0.530     0.530     0.530
fracstop        1.000     1.000     1.000
cjmean          2.733     2.733     2.733

libcent 0       179.4     179.4     179.5
libamp  0        70.3      70.3      70.4
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       177.9     177.9     177.9
kozaiamp        180.0     180.0     180.0