Orbit Fit and Astrometric record for 13TB228

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: 13TB228   
# Created Sat Dec  4 02:12:10 2021
# Orbit generated from Bernstein formalism
# Fitting     27 observations of     27
# Arc:   4.94y
# First observation: 2013/10/04
#  Last observation: 2018/09/11
Preliminary a, adot, b, bdot, g, gdot:
   0.000381   0.043715   0.000111   0.011709   0.033727   0.000000
# Chi-squared of fit:    14.89 DOF:     48 RMS:  0.13
# Min/Max residuals:    -0.27    0.33
# Exact a, adot, b, bdot, g, gdot:
  1.982836E-05  4.460225E-02  6.389143E-06  1.198409E-02  3.391148E-02  6.068700E-03
# Covariance matrix:
  2.4407E-13 -1.0848E-13  5.4795E-15 -1.3629E-14  1.2679E-13 -2.5788E-13
 -1.0848E-13  1.9599E-13 -2.6622E-14  4.9114E-14  1.0849E-13  9.5923E-13
  5.4795E-15 -2.6622E-14  1.6533E-13 -5.7135E-14 -2.6152E-14 -1.5177E-13
 -1.3629E-14  4.9114E-14 -5.7135E-14  3.7241E-14  3.9065E-14  2.7606E-13
  1.2679E-13  1.0849E-13 -2.6152E-14  3.9065E-14  4.9544E-13  7.8465E-13
 -2.5788E-13  9.5923E-13 -1.5177E-13  2.7606E-13  7.8465E-13  5.4009E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -14.897501   22.776773    0.207260   -0.251490   -0.945766  2456569.722038
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:            7.32395 +/-     0.003
Argument of Peri:      292.32762 +/-     0.009
Long of Asc Node:       65.60686 +/-     0.000
Inclination:            20.58166 +/-     0.000
Eccentricity:         0.46796033 +/-    0.0001
Semi-Major Axis:     55.81213975 +/-    0.0094
Time of Perihelion: 2453462.1244 +/-       1.1
Perihelion:          29.69427222 +/-    0.0067
Aphelion:            81.93000727 +/-    0.0145
Period (y)              416.9665 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           27.25706753 +/-    0.0005
Ecliptic Y           11.22328672 +/-    0.0002
Ecliptic Z           -7.58107633 +/-    0.0002
Ecliptic XDOT        -0.00073434 +/-    0.0000
Ecliptic YDOT         0.00359841 +/-    0.0000
Ecliptic ZDOT         0.00080919 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.43653419 +/-    0.0005
Geocenter to KBO     29.48854120 +/-    0.0006
# Hcoef:  8.71

The following table shows the complete astrometric record for 13TB228. 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 (13TB228) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.22126  01 46 15.700  -04 59 39.37  24.3g 13TB228   W84  C~52Re      
2013 10  04.23940  01 46 15.576  -04 59 39.85  23.6r 13TB228   W84  C~52Re      
2013 10  04.24078  01 46 15.563  -04 59 40.05  23.0i 13TB228   W84  C~52Re      
2013 11  08.14417  01 42 45.073  -05 14 00.98  23.7g 13TB228   W84  C~52Re      
2013 11  08.14556  01 42 45.084  -05 14 01.09  23.7r 13TB228   W84  C~52Re      
2013 11  08.14700  01 42 45.080  -05 14 01.20  23.0i 13TB228   W84  C~52Re      
2014 10  23.28910  01 52 50.330  -03 34 36.53  23.6r 13TB228   W84  C~52Re      
2014 10  23.29047  01 52 50.305  -03 34 36.48  23.3i 13TB228   W84  C~52Re      
2014 10  29.26979  01 52 13.652  -03 36 57.02  23.5i 13TB228   W84  C~52Re      
2014 10  29.27114  01 52 13.643  -03 36 56.99  23.2r 13TB228   W84  C~52Re      
2014 11  28.17343  01 49 27.956  -03 42 24.30  23.5i 13TB228   W84  C~52Re      
2014 11  28.17482  01 49 27.955  -03 42 24.49  23.2r 13TB228   W84  C~52Re      
2016 09  10.29669  02 13 02.489  -00 07 41.39  23.8r 13TB228   W84  C~52Re      
2016 09  27.48621  02 11 46.55   -00 16 43.8   24.2g 13TB228   568  C~2eAI      
2016 09  27.60677  02 11 45.93   -00 16 47.6   24.2g 13TB228   568  C~2eAI      
2016 09  28.49552  02 11 41.39   -00 17 15.8   24.2g 13TB228   568  C~2eAI      
2016 09  28.54358  02 11 41.13   -00 17 17.3   24.3g 13TB228   568  C~2eAI      
2016 09  28.62851  02 11 40.69   -00 17 20.0   24.2g 13TB228   568  C~2eAI      
2016 09  29.50747  02 11 36.14   -00 17 47.9   24.4g 13TB228   568  C~2eAI      
2016 10  27.16787  02 08 55.471  -00 30 56.34  23.1r 13TB228   W84  C~52Re      
2016 10  27.16927  02 08 55.450  -00 30 56.48  22.9i 13TB228   W84  C~52Re      
2016 11  07.17116  02 07 48.653  -00 34 45.32  23.0z 13TB228   W84  C~52Re      
2016 12  23.05112  02 04 17.521  -00 35 33.88  23.4i 13TB228   W84  C~52Re      
2017 10  13.24804  02 18 24.589  +01 06 04.36  24.3r 13TB228   W84  C~52Re      
2017 11  16.18502  02 15 01.305  +00 53 39.23  23.5r 13TB228   W84  C~52Re      
2018 09  11.33153  02 28 50.973  +02 50 18.07  23.2i 13TB228   W84  C~52Rf      
2018 09  11.33817  02 28 50.950  +02 50 17.80  23.7r 13TB228   W84  C~52Rf      

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     0.20       0.00    -0.17
     2   0.0000     -1.90     0.01       0.24     0.04
     3   0.0001     -2.15    -0.11       0.12    -0.07
     4   0.0956  -3243.52    -0.24     355.26     0.24
     5   0.0956  -3243.41    -0.01     355.10     0.05
     6   0.0956  -3243.51     0.02     355.02    -0.06
     7   1.0515   7373.23     0.20    2564.19    -0.06
     8   1.0515   7372.90    -0.00    2564.37     0.11
     9   1.0679   6810.44    -0.03    2636.80    -0.14
    10   1.0679   6810.32    -0.02    2636.88    -0.08
    11   1.1498   4382.77     0.11    3249.22    -0.06
    12   1.1498   4382.68     0.12    3249.05    -0.27
    13   2.9352  29056.64    -0.03    7377.83    -0.02
    14   2.9822  27772.57    -0.11    7295.46     0.05
    15   2.9826  27762.33    -0.01    7295.38     0.04
    16   2.9850  27687.25    -0.03    7294.43     0.06
    17   2.9851  27683.00    -0.12    7294.48     0.12
    18   2.9854  27675.73    -0.04    7294.42     0.08
    19   2.9878  27600.63    -0.12    7293.80     0.03
    20   3.0635  25028.01     0.16    7456.26     0.33
    21   3.0635  25027.66    -0.06    7456.24     0.30
    22   3.0936  23997.95    -0.02    7616.21    -0.05
    23   3.2192  21005.31    -0.22    8751.51     0.02
    24   4.0247  35352.38     0.26    9735.22    -0.12
    25   4.1176  32160.33     0.02   10173.88     0.05
    26   4.9366  46863.86     0.04   12157.16    -0.17
    27   4.9367  46863.42     0.00   12157.03    -0.26

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.

13TB228    quality flag:3

Type:         5:2EEE    5:2EEE    5:2EEE

axisobj        56.357    56.386    56.327
ecceobj         0.474     0.474     0.473
incobj         20.589    20.589    20.589
qmin           28.826    28.845    28.840
qmax           83.859    83.911    83.741
amean          55.462    55.462    55.462
amin           54.589    54.574    54.626
amax           56.619    56.675    56.573
emean           0.467     0.467     0.467
emin            0.453     0.452     0.453
emax            0.482     0.482     0.481
imean          19.111    19.108    19.165
imin           18.557    18.507    18.611
imax           19.690    19.678    19.657
excite_mean     0.571     0.571     0.571
fracstop        1.000     1.000     1.000
cjmean          2.810     2.810     2.810

libcent 0       179.8     181.1     181.2
libamp  0       132.4     139.9     129.1
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       204.0     181.1     200.2
kozaiamp        180.0     180.0     180.0