Orbit Fit and Astrometric record for 13TC187

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: 13TC187   
# Created Fri Dec  3 02:12:04 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     29 observations of     29
# Arc:   5.01y
# First observation: 2013/10/13
#  Last observation: 2018/10/18
# Chi-squared of fit:     2.58 DOF:     52 RMS:  0.05
# Min/Max residuals:    -0.16    0.11
# Exact a, adot, b, bdot, g, gdot:
  1.621620E-05  2.535387E-02  4.001833E-07  1.955059E-04  2.502747E-02 -8.963919E-05
# Covariance matrix:
  3.2409E-13  4.1680E-15 -2.3663E-15  3.4799E-16  5.6942E-13  3.7917E-13
  4.1680E-15  1.5620E-13 -1.4467E-15  1.2317E-15  2.6456E-13  1.4016E-12
 -2.3663E-15 -1.4467E-15  1.1691E-13 -3.7173E-14 -7.6614E-15 -1.4509E-14
  3.4799E-16  1.2317E-15 -3.7173E-14  2.0998E-14  2.3383E-15  1.2774E-14
  5.6942E-13  2.6456E-13 -7.6614E-15  2.3383E-15  1.7443E-12  2.6187E-12
  3.7917E-13  1.4016E-12 -1.4509E-14  1.2774E-14  2.6187E-12  1.4541E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.959513    7.082677   -0.215853   -0.016196   -0.973658  2456578.594138
# Heliocentric elements and errors
Epoch:              2456578.5000  =  2013/10/13
Mean Anomaly:          359.61629 +/-     0.127
Argument of Peri:      295.98299 +/-     0.145
Long of Asc Node:       71.83896 +/-     0.016
Inclination:             1.03821 +/-     0.000
Eccentricity:         0.06361531 +/-    0.0002
Semi-Major Axis:     43.71075554 +/-    0.0094
Time of Perihelion: 2456691.0081 +/-      50.3
Perihelion:          40.93008208 +/-    0.0111
Aphelion:            46.49142900 +/-    0.0121
Period (y)              288.9952 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           40.58481713 +/-    0.0021
Ecliptic Y            5.26330088 +/-    0.0002
Ecliptic Z           -0.66911396 +/-    0.0000
Ecliptic XDOT        -0.00035753 +/-    0.0000
Ecliptic YDOT         0.00274978 +/-    0.0000
Ecliptic ZDOT         0.00002169 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.93015337 +/-    0.0021
Geocenter to KBO     39.95613974 +/-    0.0021
# Hcoef:  7.08

The following table shows the complete astrometric record for 13TC187. 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 (13TC187) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.09336  00 27 31.89   +01 55 47.4   22.7z 13TC187   W84  C~3clP      
2013 10  13.12065  00 27 31.768  +01 55 46.66  22.8i 13TC187   W84  C~4yRC      
2013 10  13.12065  00 27 31.77   +01 55 46.7   22.8i 13TC187   W84  C~3clP      
2013 11  08.16809  00 25 48.112  +01 45 00.27  23.2r 13TC187   W84  C~4yRC      
2013 11  08.16809  00 25 48.11   +01 45 00.2   23.4r 13TC187   W84  C~3clP      
2013 11  22.09533  00 25 08.015  +01 40 59.50  23.4r 13TC187   W84  C~4yRC      
2013 11  22.09533  00 25 08.02   +01 40 59.5   23.4r 13TC187   W84  C~3clP      
2013 11  22.09673  00 25 08.011  +01 40 59.48  23.0i 13TC187   W84  C~4yRC      
2013 11  22.09673  00 25 08.01   +01 40 59.5   23.0i 13TC187   W84  C~3clP      
2013 11  23.10640  00 25 05.646  +01 40 45.71  23.0i 13TC187   W84  C~4yRC      
2013 11  23.10640  00 25 05.65   +01 40 45.7   23.2i 13TC187   W84  C~3clP      
2014 10  29.19088  00 31 43.720  +02 23 44.01  23.1r 13TC187   W84  C~4yRC      
2014 10  29.19088  00 31 43.72   +02 23 44.0   23.1r 13TC187   W84  C~3clP      
2015 11  07.08553  00 36 29.019  +02 55 08.39  23.6r 13TC187   W84  C~4yRC      
2015 11  07.08553  00 36 29.02   +02 55 08.4   23.6r 13TC187   W84  C~3clP      
2015 11  07.08690  00 36 29.023  +02 55 08.31  23.0i 13TC187   W84  C~4yRC      
2015 11  07.08690  00 36 29.02   +02 55 08.3   23.1i 13TC187   W84  C~3clP      
2015 11  07.08828  00 36 29.015  +02 55 08.38  24.1g 13TC187   W84  C~4yRC      
2016 11  08.11440  00 41 40.507  +03 29 06.93  22.6z 13TC187   W84  C~4yRC      
2016 11  18.08408  00 41 07.605  +03 25 48.78  23.2r 13TC187   W84  C~4yRC      
2016 11  18.08408  00 41 07.61   +03 25 48.8   23.3r 13TC187   W84  C~3clP      
2016 11  18.12288  00 41 07.484  +03 25 48.28  23.5i 13TC187   W84  C~4yRC      
2016 11  18.12288  00 41 07.48   +03 25 48.3   23.4i 13TC187   W84  C~3clP      
2016 11  18.12426  00 41 07.485  +03 25 48.20  23.2z 13TC187   W84  C~4yRC      
2016 11  26.10227  00 40 46.018  +03 23 41.82  23.1r 13TC187   W84  C~4yRC      
2016 11  26.10867  00 40 46.001  +03 23 41.91  22.6i 13TC187   W84  C~4yRC      
2016 11  26.10867  00 40 46.00   +03 23 41.9   22.6i 13TC187   W84  C~3clP      
2018 10  18.19756  00 53 47.720  +04 47 11.88  22.3z 13TC187   W84  C~4yRC      
2018 10  18.19894  00 53 47.711  +04 47 11.85  21.8i 13TC187   W84  C~4yRC      

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    -0.01       0.00    -0.07
     2   0.0001      0.00     0.03       0.00    -0.00
     3   0.0001      0.00     0.00       0.00    -0.04
     4   0.0714      0.00     0.02       0.00    -0.07
     5   0.0714      0.00     0.05       0.00     0.00
     6   0.1095      0.00     0.07       0.00     0.03
     7   0.1095      0.00    -0.01       0.00     0.03
     8   0.1095      0.00    -0.03       0.00     0.05
     9   0.1095      0.00    -0.02       0.00     0.03
    10   0.1123      0.00    -0.02       0.00     0.04
    11   0.1123      0.00    -0.08       0.00     0.05
    12   1.0434      0.00    -0.02       0.00    -0.03
    13   1.0434      0.00    -0.02       0.00    -0.02
    14   2.0671      0.00    -0.03       0.00     0.04
    15   2.0671      0.00    -0.04       0.00     0.03
    16   2.0671      0.00     0.05       0.00    -0.03
    17   2.0671      0.00     0.09       0.00    -0.02
    18   2.0671      0.00     0.05       0.00     0.08
    19   3.0719      0.00    -0.03       0.00    -0.04
    20   3.0992      0.00     0.11       0.00    -0.08
    21   3.0992      0.00     0.03       0.00    -0.10
    22   3.0993      0.00    -0.06       0.00     0.10
    23   3.0993      0.00    -0.00       0.00     0.08
    24   3.0993      0.00     0.08       0.00     0.03
    25   3.1212      0.00    -0.00       0.00    -0.16
    26   3.1212      0.00    -0.04       0.00     0.01
    27   3.1212      0.00    -0.02       0.00     0.02
    28   5.0133      0.00     0.01       0.00     0.03
    29   5.0133      0.00    -0.03       0.00     0.04

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.

13TC187    quality flag:3

Type:         7:4EEE    7:4EEE    7:4EEE

axisobj        43.976    43.976    43.976
ecceobj         0.070     0.070     0.070
incobj          1.038     1.038     1.038
qmin           40.404    40.404    40.403
qmax           47.320    47.320    47.320
amean          43.726    43.726    43.726
amin           43.375    43.375    43.375
amax           44.095    44.095    44.095
emean           0.061     0.061     0.061
emin            0.049     0.049     0.049
emax            0.073     0.073     0.073
imean           0.967     0.967     0.967
imin            0.138     0.138     0.138
imax            1.530     1.531     1.530
excite_mean     0.064     0.064     0.064
fracstop        1.000     1.000     1.000
cjmean          3.093     3.093     3.093

libcent 0       180.4     180.7     180.1
libamp  0        83.6      83.3      83.8
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       200.2     200.2     200.2
kozaiamp        179.2     179.2     179.2