Orbit Fit and Astrometric record for 13TC229

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: 13TC229   
# Created Fri Dec  3 02:12:09 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     10 observations of     10
# Arc:   5.01y
# First observation: 2013/10/13
#  Last observation: 2018/10/18
# Chi-squared of fit:     3.77 DOF:     14 RMS:  0.11
# Min/Max residuals:    -0.22    0.20
# Exact a, adot, b, bdot, g, gdot:
  1.671755E-05  2.842495E-02 -1.728216E-06 -3.851585E-03  2.637111E-02 -3.621389E-03
# Covariance matrix:
  5.7247E-13 -4.9271E-13 -1.7881E-14  4.5065E-14  3.8711E-13 -2.4130E-12
 -4.9271E-13  1.0742E-12  4.6515E-14 -1.2499E-13 -5.3317E-13  6.7234E-12
 -1.7881E-14  4.6515E-14  4.0161E-13 -1.0320E-13 -2.5213E-14  3.0054E-13
  4.5065E-14 -1.2499E-13 -1.0320E-13  5.2573E-14  4.3275E-14 -8.2735E-13
  3.8711E-13 -5.3317E-13 -2.5213E-14  4.3275E-14  1.7840E-12 -2.2365E-12
 -2.4130E-12  6.7234E-12  3.0054E-13 -8.2735E-13 -2.2365E-12  4.4578E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.868803    9.548237   -0.174733   -0.049031   -0.980766  2456578.650868
# Heliocentric elements and errors
Epoch:              2456578.5000  =  2013/10/13
Mean Anomaly:          333.73833 +/-     0.046
Argument of Peri:      240.95706 +/-     0.077
Long of Asc Node:      169.95521 +/-     0.001
Inclination:             8.18413 +/-     0.000
Eccentricity:         0.22085870 +/-    0.0002
Semi-Major Axis:     47.72194583 +/-    0.0137
Time of Perihelion: 2465362.5625 +/-      50.6
Perihelion:          37.18213913 +/-    0.0135
Aphelion:            58.26175254 +/-    0.0186
Period (y)              329.6745 +/-      0.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           38.28688809 +/-    0.0019
Ecliptic Y            6.62050989 +/-    0.0003
Ecliptic Z           -1.89797848 +/-    0.0001
Ecliptic XDOT        -0.00088572 +/-    0.0000
Ecliptic YDOT         0.00284314 +/-    0.0000
Ecliptic ZDOT        -0.00038041 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.90148511 +/-    0.0019
Geocenter to KBO     37.92041325 +/-    0.0019
# Hcoef:  7.67

The following table shows the complete astrometric record for 13TC229. 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 (13TC229) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.15009  00 39 36.180  +01 08 41.56  22.9i 13TC229   W84  C~52Rg      
2013 10  13.17933  00 39 36.031  +01 08 40.72  23.0z 13TC229   W84  C~52Rg      
2013 11  23.12459  00 36 59.931  +00 52 12.49  23.8i 13TC229   W84  C~52Rg      
2014 10  29.22180  00 44 46.659  +01 27 09.96  23.8i 13TC229   W84  C~52Rg      
2016 09  01.37293  01 01 50.709  +02 49 05.56  23.9r 13TC229   W84  C~52Rg      
2017 09  14.32230  01 07 30.208  +03 09 08.11  23.9i 13TC229   W84  C~52Rg      
2017 09  18.30613  01 07 13.291  +03 07 04.55  23.3r 13TC229   W84  C~52Rg      
2017 09  24.29119  01 06 46.747  +03 03 54.42  22.8z 13TC229   W84  C~52Rg      
2018 09  14.33193  01 14 02.817  +03 35 34.23  22.6i 13TC229   W84  C~52Rg      
2018 10  18.20169  01 11 26.937  +03 17 43.88  23.2z 13TC229   W84  C~52Rg      

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    -0.08
     2   0.0001      0.00    -0.06       0.00    -0.02
     3   0.1122      0.00    -0.02       0.00    -0.05
     4   1.0433      0.00     0.01       0.00     0.15
     5   2.8863      0.00    -0.04       0.00    -0.05
     6   3.9211      0.00     0.07       0.00     0.16
     7   3.9320      0.00    -0.18       0.00     0.20
     8   3.9484      0.00     0.12       0.00    -0.08
     9   4.9204      0.00    -0.01       0.00     0.01
    10   5.0131      0.00     0.06       0.00    -0.22

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.

13TC229    quality flag:3

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

axisobj        48.036    48.036    48.036
ecceobj         0.224     0.224     0.224
incobj          8.160     8.160     8.160
qmin           36.501    36.468    36.490
qmax           60.261    60.218    60.261
amean          47.798    47.798    47.798
amin           47.071    47.073    47.070
amax           48.613    48.613    48.639
emean           0.220     0.221     0.220
emin            0.200     0.203     0.202
emax            0.240     0.240     0.240
imean           7.799     7.764     7.778
imin            7.278     7.223     7.266
imax            8.240     8.195     8.225
excite_mean     0.258     0.259     0.259
fracstop        1.000     1.000     1.000
cjmean          3.065     3.065     3.065

libcent 0       181.4     180.2     180.7
libamp  0       164.5     164.1     163.9
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       199.9     200.6     200.3
kozaiamp        179.9     179.9     179.9