Orbit Fit and Astrometric record for 13TJ172

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: 13TJ172   
# Created Mon Dec  6 02:12:03 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     46 observations of     46
# Arc:   5.16y
# First observation: 2013/10/03
#  Last observation: 2018/11/29
# Chi-squared of fit:    19.91 DOF:     86 RMS:  0.12
# Min/Max residuals:    -0.43    0.27
# Exact a, adot, b, bdot, g, gdot:
  1.578440E-05  2.638480E-02 -7.592075E-06 -1.217947E-02  2.619240E-02 -4.365415E-03
# Covariance matrix:
  1.8388E-13 -8.2539E-14 -2.7683E-14  2.8011E-14  5.2449E-14 -4.4916E-13
 -8.2539E-14  1.2394E-13  4.1022E-14 -5.5651E-14  8.7323E-14  8.9685E-13
 -2.7683E-14  4.1022E-14  1.2067E-13 -5.2768E-14  1.8164E-14  3.3959E-13
  2.8011E-14 -5.5651E-14 -5.2768E-14  4.2085E-14 -4.0361E-14 -4.5481E-13
  5.2449E-14  8.7323E-14  1.8164E-14 -4.0361E-14  2.2209E-13  6.5416E-13
 -4.4916E-13  8.9685E-13  3.3959E-13 -4.5481E-13  6.5416E-13  7.3281E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.260859   20.943412    0.191633   -0.208452   -0.959733  2456568.790588
# Heliocentric elements and errors
Epoch:              2456568.5000  =  2013/10/03
Mean Anomaly:          337.39371 +/-     0.009
Argument of Peri:      248.25679 +/-     0.018
Long of Asc Node:      176.53832 +/-     0.000
Inclination:            27.38914 +/-     0.000
Eccentricity:         0.29244000 +/-    0.0001
Semi-Major Axis:     52.17587625 +/-    0.0057
Time of Perihelion: 2465212.7989 +/-      21.3
Perihelion:          36.91756279 +/-    0.0062
Aphelion:            67.43418972 +/-    0.0087
Period (y)              376.8885 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.82838878 +/-    0.0006
Ecliptic Y           13.51070967 +/-    0.0002
Ecliptic Z           -8.10812132 +/-    0.0001
Ecliptic XDOT        -0.00166093 +/-    0.0000
Ecliptic YDOT         0.00231837 +/-    0.0000
Ecliptic ZDOT        -0.00114702 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.14029445 +/-    0.0006
Geocenter to KBO     38.17914215 +/-    0.0007
# Hcoef:  6.80

The following table shows the complete astrometric record for 13TJ172. 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 (13TJ172) followed by the observatory code and reference code for the source of the astrometry.

2013 10  03.28981  01 35 42.550  -03 12 15.88  23.7g 13TJ172   W84  C~4yR9      
2013 10  03.28981  01 35 42.55   -03 12 15.9   23.7g 13TJ172   W84  C~3clP      
2013 10  27.10459  01 33 51.74   -03 26 01.3   23.5g 13TJ172   W84  C~3clP      
2013 11  08.23178  01 32 57.030  -03 31 31.53  22.5r 13TJ172   W84  C~4yR9      
2013 11  08.23178  01 32 57.03   -03 31 31.5   22.5r 13TJ172   W84  C~3clP      
2013 11  12.18007  01 32 40.272  -03 33 01.83  22.8z 13TJ172   W84  C~4yR9      
2014 10  02.333588 01 42 29.38   -03 16 35.7   22.3r 13TJ172   W84  C~35ba      
2014 10  02.336308 01 42 29.37   -03 16 35.7   22.0i 13TJ172   W84  C~35ba      
2014 10  23.23438  01 40 52.230  -03 29 05.16  22.7r 13TJ172   W84  C~4yR9      
2014 10  23.23438  01 40 52.23   -03 29 05.2   22.7r 13TJ172   W84  C~3clP      
2014 11  03.24818  01 40 00.758  -03 34 33.18  22.3z 13TJ172   W84  C~4yR9      
2014 11  28.16893  01 38 19.123  -03 42 44.98  23.0r 13TJ172   W84  C~4yR9      
2014 11  28.16893  01 38 19.12   -03 42 45.0   23.0r 13TJ172   W84  C~3clP      
2014 12  16.11510  01 37 29.877  -03 44 25.61  22.1i 13TJ172   W84  C~4yR9      
2014 12  16.11510  01 37 29.88   -03 44 25.6   22.1i 13TJ172   W84  C~3clP      
2015 01  15.044317 01 37 11.72   -03 39 06.5   22.2z 13TJ172   W84  C~35ba      
2015 01  15.04484  01 37 11.742  -03 39 06.70  22.4z 13TJ172   W84  C~4yR9      
2015 01  15.047141 01 37 11.72   -03 39 06.6   22.4z 13TJ172   W84  C~35ba      
2015 01  15.04767  01 37 11.744  -03 39 06.83  22.3z 13TJ172   W84  C~4yR9      
2015 09  04.33457  01 50 58.003  -03 02 52.76  22.5i 13TJ172   W84  C~4yR9      
2015 09  04.33457  01 50 58.00   -03 02 52.8   22.6i 13TJ172   W84  C~3clP      
2015 10  23.24044  01 47 37.948  -03 34 04.13  22.3z 13TJ172   W84  C~4yR9      
2015 12  01.17757  01 44 50.918  -03 48 28.48  22.3i 13TJ172   W84  C~4yR9      
2015 12  01.17757  01 44 50.92   -03 48 28.5   22.4i 13TJ172   W84  C~3clP      
2015 12  01.17894  01 44 50.919  -03 48 28.55  22.4z 13TJ172   W84  C~4yR9      
2016 01  12.06424  01 43 43.527  -03 45 18.06  23.1r 13TJ172   W84  C~4yR9      
2016 01  12.06424  01 43 43.53   -03 45 18.1   23.1r 13TJ172   W84  C~3clP      
2016 01  12.06561  01 43 43.523  -03 45 18.16  23.9g 13TJ172   W84  C~4yR9      
2016 01  12.06561  01 43 43.52   -03 45 18.1   24.0g 13TJ172   W84  C~3clP      
2016 10  26.27276  01 54 07.637  -03 41 05.25  23.4g 13TJ172   W84  C~4yR9      
2016 10  26.27276  01 54 07.64   -03 41 05.3   23.5g 13TJ172   W84  C~3clP      
2016 11  10.11848  01 52 57.942  -03 47 52.66  22.4z 13TJ172   W84  C~4yR9      
2016 11  10.11848  01 52 57.94   -03 47 52.6   22.3z 13TJ172   W84  C~3clP      
2016 11  19.12607  01 52 18.77   -03 50 57.8   22.0r 13TJ172   W84  C~3clP      
2016 12  06.06279  01 51 16.631  -03 54 20.50  22.3z 13TJ172   W84  C~4yR9      
2016 12  06.06279  01 51 16.63   -03 54 20.5   22.4z 13TJ172   W84  C~3clP      
2017 10  30.21536  02 00 40.816  -03 47 50.21  21.8z 13TJ172   W84  C~4yR9      
2017 11  16.14603  01 59 21.983  -03 54 53.61  22.9r 13TJ172   W84  C~4yR9      
2017 11  17.13993  01 59 17.629  -03 55 13.09  22.5i 13TJ172   W84  C~4yR9      
2017 11  18.13084  01 59 13.326  -03 55 31.85  23.3g 13TJ172   W84  C~4yR9      
2017 11  23.10803  01 58 52.388  -03 56 56.64  22.1z 13TJ172   W84  C~4yR9      
2017 11  23.10946  01 58 52.381  -03 56 56.63  22.2i 13TJ172   W84  C~4yR9      
2018 09  22.28412  02 10 27.147  -03 29 02.13  22.3z 13TJ172   W84  C~4yR9      
2018 11  15.09676  02 06 20.980  -03 59 12.16  22.3i 13TJ172   W84  C~4yR9      
2018 11  29.19158  02 05 21.214  -04 03 01.35  22.7r 13TJ172   W84  C~4yR9      
2018 11  29.19296  02 05 21.211  -04 03 01.36  23.4g 13TJ172   W84  C~4yR9      

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     0.06
     2   0.0000      0.00     0.01       0.00     0.08
     3   0.0652      0.00     0.25       0.00     0.02
     4   0.0984      0.00     0.07       0.00     0.00
     5   0.0984      0.00     0.07       0.00    -0.03
     6   0.1092      0.00     0.14       0.00    -0.04
     7   0.9967      0.00    -0.16       0.00     0.17
     8   0.9967      0.00    -0.12       0.00     0.27
     9   1.0539      0.00    -0.06       0.00    -0.04
    10   1.0539      0.00    -0.06       0.00    -0.00
    11   1.0841      0.00     0.01       0.00    -0.22
    12   1.1523      0.00    -0.01       0.00     0.06
    13   1.1523      0.00     0.03       0.00     0.08
    14   1.2014      0.00     0.11       0.00    -0.01
    15   1.2014      0.00     0.07       0.00    -0.02
    16   1.2834      0.00    -0.40       0.00     0.26
    17   1.2834      0.00    -0.07       0.00     0.05
    18   1.2834      0.00    -0.43       0.00     0.11
    19   1.2834      0.00    -0.08       0.00    -0.13
    20   1.9194      0.00    -0.02       0.00    -0.07
    21   1.9194      0.00     0.02       0.00    -0.03
    22   2.0533      0.00    -0.07       0.00    -0.15
    23   2.1599      0.00     0.10       0.00    -0.08
    24   2.1599      0.00     0.07       0.00    -0.06
    25   2.1599      0.00     0.16       0.00    -0.12
    26   2.2745      0.00     0.13       0.00    -0.03
    27   2.2745      0.00     0.09       0.00     0.01
    28   2.2745      0.00    -0.02       0.00    -0.05
    29   2.2745      0.00     0.02       0.00    -0.11
    30   3.0636      0.00    -0.06       0.00    -0.23
    31   3.0636      0.00    -0.10       0.00    -0.18
    32   3.1043      0.00     0.13       0.00     0.06
    33   3.1043      0.00     0.16       0.00    -0.00
    34   3.1289      0.00     0.17       0.00     0.04
    35   3.1753      0.00     0.04       0.00     0.04
    36   3.1753      0.00     0.06       0.00     0.04
    37   4.0737      0.00     0.17       0.00    -0.10
    38   4.1201      0.00    -0.07       0.00     0.03
    39   4.1228      0.00    -0.00       0.00     0.07
    40   4.1255      0.00     0.01       0.00     0.13
    41   4.1391      0.00    -0.07       0.00     0.03
    42   4.1391      0.00    -0.08       0.00     0.06
    43   4.9692      0.00    -0.08       0.00    -0.01
    44   5.1165      0.00    -0.01       0.00     0.13
    45   5.1551      0.00     0.01       0.00     0.02
    46   5.1551      0.00     0.05       0.00     0.03

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.

13TJ172    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        52.476    52.476    52.476
ecceobj         0.295     0.295     0.295
incobj         27.311    27.311    27.311
qmin           36.149    36.130    36.110
qmax           68.574    68.634    68.557
amean          51.986    51.986    51.987
amin           51.487    51.475    51.492
amax           52.609    52.634    52.604
emean           0.285     0.285     0.285
emin            0.267     0.267     0.267
emax            0.304     0.304     0.303
imean          27.003    27.002    27.003
imin           26.610    26.615    26.625
imax           27.566    27.564    27.562
excite_mean     0.536     0.536     0.536
fracstop        1.000     1.000     1.000
cjmean          2.824     2.824     2.824

libcent 0      -180.0    -180.0    -180.0
libamp  0      -180.0    -180.0    -180.0
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       176.2     176.0     176.2
kozaiamp        179.9     180.0     179.9