Orbit Fit and Astrometric record for 13TN187

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: 13TN187   
# Created Fri Dec  3 02:12:05 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     38 observations of     38
# Arc:   8.07y
# First observation: 2013/09/09
#  Last observation: 2021/10/03
# Chi-squared of fit:    16.93 DOF:     70 RMS:  0.12
# Min/Max residuals:    -0.39    0.50
# Exact a, adot, b, bdot, g, gdot:
  1.920757E-05  3.937023E-02  3.141234E-07  1.087841E-03  3.080387E-02  1.082767E-03
# Covariance matrix:
  2.6523E-13 -5.2293E-14  4.9853E-15 -5.8368E-16  1.8109E-13 -7.6346E-14
 -5.2293E-14  4.6404E-14 -6.2121E-16  8.9290E-16  9.5018E-15  1.4292E-13
  4.9853E-15 -6.2121E-16  8.9215E-14 -2.2639E-14  5.4053E-15 -1.2488E-15
 -5.8368E-16  8.9290E-16 -2.2639E-14  1.0287E-14  4.2051E-16  3.5715E-15
  1.8109E-13  9.5018E-15  5.4053E-15  4.2051E-16  2.3753E-13  8.8562E-14
 -7.6346E-14  1.4292E-13 -1.2488E-15  3.5715E-15  8.8562E-14  5.7629E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
  -10.118721   29.102601    0.682026   -0.130314   -0.730777  2456544.871248
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:            0.47591 +/-     0.002
Argument of Peri:      276.59062 +/-     0.004
Long of Asc Node:      110.06569 +/-     0.001
Inclination:             9.98290 +/-     0.000
Eccentricity:         0.37743557 +/-    0.0001
Semi-Major Axis:     53.32871471 +/-    0.0064
Time of Perihelion: 2456356.4548 +/-       0.7
Perihelion:          33.20056108 +/-    0.0053
Aphelion:            73.45686835 +/-    0.0095
Period (y)              389.4484 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           28.90347813 +/-    0.0004
Ecliptic Y           15.31195909 +/-    0.0002
Ecliptic Z           -5.70346735 +/-    0.0001
Ecliptic XDOT        -0.00161050 +/-    0.0000
Ecliptic YDOT         0.00311064 +/-    0.0000
Ecliptic ZDOT         0.00007841 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.20235597 +/-    0.0004
Geocenter to KBO     32.46346523 +/-    0.0005
# Hcoef:  7.60

The following table shows the complete astrometric record for 13TN187. 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 (13TN187) followed by the observatory code and reference code for the source of the astrometry.

2013 09  09.37047  02 02 29.770  +01 40 37.96  23.5g 13TN187   W84  C~4yRD      
2013 10  03.24823  02 00 47.290  +01 27 21.15  23.3g 13TN187   W84  C~4yRD      
2013 10  03.24823  02 00 47.29   +01 27 21.2   23.5g 13TN187   W84  C~3clQ      
2013 10  27.13393  01 58 38.739  +01 14 47.15  23.1g 13TN187   W84  C~4yRD      
2013 11  04.07535  01 57 55.11   +01 11 16.2   22.8r 13TN187   W84  C~3clQ      
2013 11  04.13845  01 57 54.77   +01 11 14.5         13TN187   W84  C~3clQ      
2013 11  04.22080  01 57 54.31   +01 11 12.5         13TN187   W84  C~3clQ      
2013 11  08.23599  01 57 32.719  +01 09 37.34  22.8r 13TN187   W84  C~4yRD      
2013 11  08.23599  01 57 32.72   +01 09 37.4   22.6r 13TN187   W84  C~3clQ      
2013 11  08.23737  01 57 32.707  +01 09 37.31  22.9i 13TN187   W84  C~4yRD      
2013 11  08.23737  01 57 32.71   +01 09 37.3   22.8i 13TN187   W84  C~3clQ      
2013 11  13.14978  01 57 07.014  +01 07 52.45  22.4z 13TN187   W84  C~4yRD      
2014 10  21.29309  02 07 38.88   +02 08 38.0   20.9i 13TN187   W84  C~3clQ      
2014 11  17.13261  02 05 12.891  +01 57 26.65  22.4i 13TN187   W84  C~4yRD      
2014 11  17.13261  02 05 12.89   +01 57 26.6   22.6i 13TN187   W84  C~3clQ      
2015 12  17.12371  02 11 29.458  +02 43 03.60  22.1i 13TN187   W84  C~4yRD      
2016 01  10.05775  02 10 44.525  +02 46 31.46  22.6r 13TN187   W84  C~4yRD      
2016 01  10.05775  02 10 44.53   +02 46 31.4   23.0r 13TN187   W84  C~3clQ      
2016 09  10.37926  02 27 30.547  +04 10 02.25  22.9i 13TN187   W84  C~4yRD      
2016 09  10.37926  02 27 30.55   +04 10 02.3   23.1i 13TN187   W84  C~3clQ      
2016 09  10.38063  02 27 30.543  +04 10 02.22  22.8r 13TN187   W84  C~4yRD      
2016 09  10.38063  02 27 30.54   +04 10 02.2   23.0r 13TN187   W84  C~3clQ      
2016 09  10.39173  02 27 30.508  +04 10 01.90  22.4z 13TN187   W84  C~4yRD      
2016 10  21.24431  02 24 27.220  +03 49 08.49  22.9z 13TN187   W84  C~4yRD      
2016 10  29.20473  02 23 42.887  +03 45 22.04  22.9i 13TN187   W84  C~4yRD      
2016 10  29.20473  02 23 42.89   +03 45 22.0   22.8i 13TN187   W84  C~3clQ      
2016 10  29.20610  02 23 42.877  +03 45 21.98  22.8r 13TN187   W84  C~4yRD      
2016 10  29.20610  02 23 42.88   +03 45 22.0   22.9r 13TN187   W84  C~3clQ      
2016 11  03.18863  02 23 14.914  +03 43 10.07  23.1g 13TN187   W84  C~4yRD      
2016 11  03.18863  02 23 14.91   +03 43 10.1   23.4g 13TN187   W84  C~3clQ      
2016 11  03.23533  02 23 14.645  +03 43 09.04  22.5z 13TN187   W84  C~4yRD      
2016 11  05.23034  02 23 03.466  +03 42 18.75  22.2i 13TN187   W84  C~4yRD      
2016 11  05.23034  02 23 03.46   +03 42 18.7   22.2i 13TN187   W84  C~3clQ      
2016 11  05.23173  02 23 03.479  +03 42 18.73  23.1g 13TN187   W84  C~4yRD      
2016 11  05.23173  02 23 03.48   +03 42 18.7   23.3g 13TN187   W84  C~3clQ      
2021 10  03.423620 03 07 43.589  +07 58 51.67  22.9G 13TN187   G37  C~55Nu      
2021 10  03.456120 03 07 43.464  +07 58 50.24        13TN187   G37  C~55Nu      
2021 10  03.489470 03 07 43.312  +07 58 49.37        13TN187   G37  C~55Nu      

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     0.18       0.00     0.12
     2   0.0654      0.00     0.04       0.00    -0.01
     3   0.0654      0.00     0.04       0.00     0.04
     4   0.1308      0.00    -0.39       0.00     0.22
     5   0.1525      0.00    -0.06       0.00     0.08
     6   0.1527      0.00     0.07       0.00    -0.06
     7   0.1529      0.00     0.00       0.00    -0.02
     8   0.1639      0.00     0.03       0.00     0.06
     9   0.1639      0.00     0.02       0.00    -0.00
    10   0.1639      0.00    -0.00       0.00    -0.01
    11   0.1639      0.00    -0.05       0.00    -0.00
    12   0.1774      0.00    -0.12       0.00     0.05
    13   1.1141      0.00    -0.07       0.00     0.29
    14   1.1876      0.00     0.00       0.00    -0.10
    15   1.1876      0.00     0.02       0.00    -0.05
    16   2.2690      0.00    -0.00       0.00     0.08
    17   2.3345      0.00     0.12       0.00     0.00
    18   2.3345      0.00     0.04       0.00     0.06
    19   3.0034      0.00     0.03       0.00     0.02
    20   3.0034      0.00    -0.02       0.00    -0.03
    21   3.0035      0.00    -0.06       0.00    -0.04
    22   3.0035      0.00    -0.01       0.00    -0.02
    23   3.0035      0.00    -0.03       0.00    -0.02
    24   3.1153      0.00     0.20       0.00    -0.21
    25   3.1371      0.00     0.07       0.00    -0.06
    26   3.1371      0.00     0.02       0.00    -0.02
    27   3.1371      0.00     0.04       0.00    -0.02
    28   3.1371      0.00    -0.01       0.00    -0.04
    29   3.1508      0.00     0.04       0.00    -0.10
    30   3.1508      0.00     0.10       0.00    -0.13
    31   3.1509      0.00     0.06       0.00     0.04
    32   3.1564      0.00    -0.24       0.00    -0.14
    33   3.1564      0.00    -0.15       0.00    -0.09
    34   3.1564      0.00     0.18       0.00    -0.11
    35   3.1564      0.00     0.17       0.00    -0.08
    36   8.0659      0.00    -0.10       0.00     0.50
    37   8.0659      0.00     0.07       0.00    -0.07
    38   8.0660      0.00    -0.10       0.00    -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.

13TN187    quality flag:3

Type:        7:3EEEE   7:3EEEE   7:3EEEE

axisobj        53.759    53.759    53.759
ecceobj         0.382     0.382     0.382
incobj          9.986     9.986     9.986
qmin           32.467    32.455    32.462
qmax           74.680    74.755    74.642
amean          52.969    52.969    52.969
amin           52.274    52.280    52.265
amax           53.837    53.851    53.839
emean           0.374     0.374     0.374
emin            0.362     0.362     0.362
emax            0.388     0.388     0.387
imean           7.910     7.895     7.922
imin            7.381     7.358     7.403
imax            8.429     8.429     8.429
excite_mean     0.399     0.399     0.399
fracstop        1.000     1.000     1.000
cjmean          3.005     3.005     3.005

libcent 0       179.8     181.3     181.0
libamp  0        99.0      97.2      97.4
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       178.2     175.4     176.5
kozaiamp        179.9     179.9     180.0