Orbit Fit and Astrometric record for 13TK228

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: 13TK228   
# Created Sat Nov 27 02:12:14 2021
# Orbit generated from Bernstein formalism
# Fitting     13 observations of     13
# Arc:   4.03y
# First observation: 2013/10/12
#  Last observation: 2017/10/22
Preliminary a, adot, b, bdot, g, gdot:
   0.000086   0.021351   0.000001   0.000691   0.023504   0.000000
# Chi-squared of fit:     5.80 DOF:     20 RMS:  0.12
# Min/Max residuals:    -0.24    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.555346E-05  2.189839E-02  1.212725E-06  7.070209E-04  2.326253E-02  6.777843E-03
# Covariance matrix:
  3.1290E-13 -9.6091E-14  8.7940E-17 -2.1388E-16  1.7685E-13 -7.6114E-14
 -9.6091E-14  1.0577E-12 -2.9785E-15  3.3423E-14  8.5678E-13  1.2650E-11
  8.7940E-17 -2.9785E-15  2.9151E-13 -7.9738E-14 -2.1376E-15 -3.6645E-14
 -2.1388E-16  3.3423E-14 -7.9738E-14  3.7306E-14  3.0962E-14  4.1588E-13
  1.7685E-13  8.5678E-13 -2.1376E-15  3.0962E-14  2.4390E-12  1.1762E-11
 -7.6114E-14  1.2650E-11 -3.6645E-14  4.1588E-13  1.1762E-11  1.5743E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.192362   -0.561324   -0.327767    0.003277   -0.942373  2456577.619838
# Heliocentric elements and errors
Epoch:              2456570.5000  =  2013/10/05
Mean Anomaly:           58.03187 +/-     0.049
Argument of Peri:      272.34966 +/-     0.031
Long of Asc Node:      354.08677 +/-     0.002
Inclination:             1.86758 +/-     0.001
Eccentricity:         0.31009258 +/-    0.0005
Semi-Major Axis:     47.70083505 +/-    0.0184
Time of Perihelion: 2437172.7468 +/-      12.0
Perihelion:          32.90916013 +/-    0.0288
Aphelion:            62.49250996 +/-    0.0354
Period (y)              329.4558 +/-      0.19
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           43.93033981 +/-    0.0029
Ecliptic Y           -0.09952100 +/-    0.0000
Ecliptic Z            0.14434467 +/-    0.0000
Ecliptic XDOT         0.00081647 +/-    0.0000
Ecliptic YDOT         0.00256793 +/-    0.0000
Ecliptic ZDOT         0.00008603 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.93068968 +/-    0.0029
Geocenter to KBO     42.98758345 +/-    0.0029
# Hcoef:  7.27

The following table shows the complete astrometric record for 13TK228. 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 (13TK228) followed by the observatory code and reference code for the source of the astrometry.

2013 10  12.11906  23 57 38.035  -00 02 48.44  23.4i 13TK228   W84  C~52Rf      
2013 10  12.12044  23 57 38.027  -00 02 48.24  22.8z 13TK228   W84  C~52Rf      
2013 10  13.07413  23 57 34.239  -00 03 12.54  23.4z 13TK228   W84  C~52Rf      
2013 10  13.08744  23 57 34.193  -00 03 13.09  23.3i 13TK228   W84  C~52Rf      
2013 11  23.08855  23 55 33.637  -00 16 07.02  23.7r 13TK228   W84  C~52Rf      
2016 09  22.12035  00 12 19.976  +01 40 22.50  23.7r 13TK228   W84  C~52Rf      
2016 10  02.17199  00 11 37.527  +01 35 51.00  22.8i 13TK228   W84  C~52Rf      
2016 12  05.08620  00 08 29.648  +01 15 39.28  24.0r 13TK228   W84  C~52Rf      
2017 09  27.17317  00 16 18.967  +02 08 44.36  23.8r 13TK228   W84  C~52Rf      
2017 09  27.18691  00 16 18.914  +02 08 43.74  24.0r 13TK228   W84  C~52Rf      
2017 09  27.18828  00 16 18.906  +02 08 44.12  23.8i 13TK228   W84  C~52Rf      
2017 09  27.19103  00 16 18.888  +02 08 44.08  23.4i 13TK228   W84  C~52Rf      
2017 10  22.18020  00 14 37.557  +01 57 54.24  24.2r 13TK228   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    -0.14       0.00    -0.15
     2   0.0000     -0.03    -0.08       0.23     0.08
     3   0.0026    -61.83     0.04       0.54     0.11
     4   0.0027    -62.68     0.06       0.31    -0.13
     5   0.1149  -2029.71     0.10       9.49     0.11
     6   2.9459  14622.72    -0.02     423.88    -0.02
     7   2.9735  13927.45     0.18     427.30    -0.12
     8   3.1484  10849.50    -0.15     433.97     0.06
     9   3.9591  18612.60    -0.07     565.77     0.02
    10   3.9591  18611.62    -0.09     565.51    -0.24
    11   3.9591  18611.66     0.04     565.91     0.15
    12   3.9591  18611.40    -0.03     565.98     0.22
    13   4.0275  16946.96     0.13     571.52    -0.10

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.

13TK228    quality flag:3

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

axisobj        48.012    48.066    47.958
ecceobj         0.312     0.313     0.311
incobj          1.861     1.861     1.861
qmin           32.028    31.988    32.070
qmax           64.499    64.504    64.487
amean          47.797    47.797    47.797
amin           47.235    47.211    47.210
amax           48.487    48.504    48.503
emean           0.316     0.316     0.315
emin            0.302     0.301     0.302
emax            0.331     0.331     0.330
imean           2.463     2.471     2.469
imin            1.924     1.759     1.924
imax            2.996     3.166     2.994
excite_mean     0.319     0.319     0.318
fracstop        1.000     1.000     1.000
cjmean          3.018     3.018     3.019

libcent 0        74.7      76.2      74.7
libamp  0        30.3      34.8      30.0
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       176.7     214.9     170.4
kozaiamp        154.4     107.3     160.3