Orbit Fit and Astrometric record for 13TG228

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: 13TG228   
# Created Sat Dec  4 02:12:10 2021
# Orbit generated from Bernstein formalism
# Fitting     13 observations of     13
# Arc:   4.25y
# First observation: 2013/10/04
#  Last observation: 2018/01/05
Preliminary a, adot, b, bdot, g, gdot:
   0.000059   0.026873   0.000002  -0.000590   0.025677   0.000000
# Chi-squared of fit:     8.45 DOF:     20 RMS:  0.14
# Min/Max residuals:    -0.36    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.685587E-05  2.676960E-02 -2.068744E-06 -5.665977E-04  2.528254E-02 -1.451487E-03
# Covariance matrix:
  2.8489E-13 -1.1838E-13  9.5828E-16 -5.3932E-15  1.3180E-13 -1.0638E-12
 -1.1838E-13  1.2556E-12  6.5760E-15 -3.9338E-14  1.4497E-12  1.0362E-11
  9.5828E-16  6.5760E-15  2.3744E-13 -6.9383E-14  1.2962E-14  3.8653E-14
 -5.3932E-15 -3.9338E-14 -6.9383E-14  4.0572E-14 -7.6119E-14 -2.3603E-13
  1.3180E-13  1.4497E-12  1.2962E-14 -7.6119E-14  2.5247E-12  9.6443E-12
 -1.0638E-12  1.0362E-11  3.8653E-14 -2.3603E-13  9.6443E-12  9.7293E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -18.965761   31.528154    0.353011   -0.304082   -0.885188  2456569.766588
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:          341.09403 +/-     0.088
Argument of Peri:      292.41696 +/-     0.128
Long of Asc Node:      125.37058 +/-     0.001
Inclination:            18.58403 +/-     0.000
Eccentricity:         0.16706902 +/-    0.0003
Semi-Major Axis:     47.82015732 +/-    0.0124
Time of Perihelion: 2462903.7427 +/-      29.3
Perihelion:          39.83089052 +/-    0.0161
Aphelion:            55.80942411 +/-    0.0190
Period (y)              330.6928 +/-      0.13
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.86563779 +/-    0.0020
Ecliptic Y           19.75165603 +/-    0.0012
Ecliptic Z          -12.85495335 +/-    0.0008
Ecliptic XDOT        -0.00166575 +/-    0.0000
Ecliptic YDOT         0.00238144 +/-    0.0000
Ecliptic ZDOT        -0.00000680 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.44166031 +/-    0.0018
Geocenter to KBO     39.55298691 +/-    0.0025
# Hcoef:  7.63

The following table shows the complete astrometric record for 13TG228. 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 (13TG228) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.26581  02 23 30.119  -05 49 26.15  23.1r 13TG228   W84  C~52Rf      
2013 10  11.22741  02 23 00.256  -05 53 10.40  23.7r 13TG228   W84  C~52Rf      
2013 10  11.22879  02 23 00.258  -05 53 10.44  23.4i 13TG228   W84  C~52Rf      
2013 10  13.24198  02 22 51.291  -05 54 12.67  23.6i 13TG228   W84  C~52Rf      
2013 10  13.24335  02 22 51.292  -05 54 12.50  23.1z 13TG228   W84  C~52Rf      
2014 10  01.38025  02 29 33.601  -05 18 03.85  23.6i 13TG228   W84  C~52Rf      
2014 12  12.18164  02 24 18.677  -05 39 09.59  23.1z 13TG228   W84  C~52Rf      
2015 12  05.18414  02 30 34.210  -05 09 52.68  24.1r 13TG228   W84  C~52Rf      
2016 11  29.20549  02 36 45.784  -04 39 44.54  24.1r 13TG228   W84  C~52Rf      
2016 12  31.11584  02 35 01.542  -04 36 28.08  24.0r 13TG228   W84  C~52Rf      
2017 11  27.16719  02 42 46.725  -04 09 18.67  23.0z 13TG228   W84  C~52Rf      
2017 12  23.15738  02 41 09.751  -04 08 30.29  23.7g 13TG228   W84  C~52Rf      
2018 01  05.07378  02 40 39.594  -04 05 12.03  24.4r 13TG228   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    -0.02       0.00     0.35
     2   0.0191   -495.35    -0.11     -59.01     0.04
     3   0.0191   -495.34     0.01     -59.06     0.00
     4   0.0246   -642.33     0.02     -72.00    -0.36
     5   0.0246   -642.26     0.19     -71.84    -0.20
     6   0.9914   5744.54     0.00     -87.35     0.12
     7   1.1880    891.53    -0.12     332.49     0.04
     8   2.1682   6764.44    -0.08      63.11     0.11
     9   3.1538  12613.75    -0.11    -154.05    -0.09
    10   3.2412  11214.40     0.29     569.87     0.05
    11   4.1476  18342.48    -0.05    -313.99     0.01
    12   4.2187  16988.98    -0.06     237.41    -0.13
    13   4.2541  16632.29     0.05     581.02     0.06

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.

13TG228    quality flag:3

Type:           2:1E      2:1E      2:1E

axisobj        48.103    48.137    48.069
ecceobj         0.170     0.171     0.170
incobj         18.579    18.579    18.579
qmin           37.610    37.827    37.941
qmax           58.711    58.420    58.398
amean          47.796    47.795    47.796
amin           47.211    47.241    47.190
amax           48.454    48.445    48.497
emean           0.181     0.183     0.180
emin            0.141     0.155     0.151
emax            0.212     0.208     0.206
imean          16.518    16.504    16.436
imin           15.870    16.001    15.882
imax           17.546    17.132    17.131
excite_mean     0.337     0.338     0.336
fracstop        1.000     1.000     1.000
cjmean          3.006     3.005     3.008

libcent 0       180.5     179.8     179.3
libamp  0       159.2     150.7     166.7
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       200.5     193.9     181.0
kozaiamp        179.9     179.9     180.0