Orbit Fit and Astrometric record for 13TA172

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: 13TA172   
# Created Fri Dec  3 02:12:03 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     38 observations of     38
# Arc:   5.01y
# First observation: 2013/10/13
#  Last observation: 2018/10/18
# Chi-squared of fit:    15.53 DOF:     70 RMS:  0.11
# Min/Max residuals:    -0.30    0.38
# Exact a, adot, b, bdot, g, gdot:
  1.814718E-05  3.418792E-02 -4.908853E-06 -8.658154E-03  3.060133E-02 -4.198464E-03
# Covariance matrix:
  1.3615E-13 -7.0993E-14 -4.0938E-15  7.3922E-15  8.9374E-14 -1.8668E-13
 -7.0993E-14  1.1811E-13  9.6353E-15 -2.4555E-14 -1.1428E-14  6.3854E-13
 -4.0938E-15  9.6353E-15  9.2768E-14 -2.8258E-14 -9.7022E-16  5.8505E-14
  7.3922E-15 -2.4555E-14 -2.8258E-14  1.8918E-14 -7.7850E-15 -1.5955E-13
  8.9374E-14 -1.1428E-14 -9.7022E-16 -7.7850E-15  2.8628E-13  2.2116E-13
 -1.8668E-13  6.3854E-13  5.8505E-14 -1.5955E-13  2.2116E-13  4.1681E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -3.443072    6.262347   -0.230567   -0.058164   -0.968658  2456578.641138
# Heliocentric elements and errors
Epoch:              2456578.5000  =  2013/10/13
Mean Anomaly:          329.20483 +/-     0.013
Argument of Peri:      237.70183 +/-     0.020
Long of Asc Node:      173.65417 +/-     0.000
Inclination:            14.55398 +/-     0.000
Eccentricity:         0.18613546 +/-    0.0001
Semi-Major Axis:     39.50011214 +/-    0.0037
Time of Perihelion: 2464335.1815 +/-      12.0
Perihelion:          32.14774064 +/-    0.0039
Aphelion:            46.85248363 +/-    0.0050
Period (y)              248.2594 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           33.36357837 +/-    0.0006
Ecliptic Y            3.89621169 +/-    0.0001
Ecliptic Z           -1.96274879 +/-    0.0000
Ecliptic XDOT        -0.00075878 +/-    0.0000
Ecliptic YDOT         0.00299306 +/-    0.0000
Ecliptic ZDOT        -0.00075053 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.64767137 +/-    0.0006
Geocenter to KBO     32.67842811 +/-    0.0006
# Hcoef:  7.98

The following table shows the complete astrometric record for 13TA172. 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 (13TA172) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.14036  00 28 26.711  -00 40 31.79  23.0i 13TA172   W84  C~4yR8      
2013 10  13.14036  00 28 26.71   -00 40 31.8   23.2i 13TA172   W84  C~3clO      
2013 10  13.14173  00 28 26.722  -00 40 32.01  22.8z 13TA172   W84  C~4yR8      
2013 10  13.14173  00 28 26.72   -00 40 32.0   22.9z 13TA172   W84  C~3clO      
2013 11  08.17983  00 26 26.150  -00 54 23.80  23.2r 13TA172   W84  C~4yR8      
2013 11  08.17983  00 26 26.15   -00 54 23.8   23.3r 13TA172   W84  C~3clO      
2013 11  08.180683 00 26 26.13   -00 54 23.6   23.0i 13TA172   W84  C~352D      
2013 11  08.18121  00 26 26.125  -00 54 23.86  22.9i 13TA172   W84  C~4yR8      
2013 11  22.09251  00 25 40.402  -00 59 19.87  23.4r 13TA172   W84  C~4yR8      
2013 11  22.09251  00 25 40.40   -00 59 19.9   23.8r 13TA172   W84  C~3clO      
2013 11  23.11061  00 25 37.701  -00 59 36.55  23.1r 13TA172   W84  C~4yR8      
2013 11  23.11061  00 25 37.70   -00 59 36.5   23.3r 13TA172   W84  C~3clO      
2013 11  23.11202  00 25 37.707  -00 59 36.47  23.1i 13TA172   W84  C~4yR8      
2013 11  23.11202  00 25 37.71   -00 59 36.5   23.2i 13TA172   W84  C~3clO      
2014 10  29.212928 00 35 07.97   -00 30 28.7   23.0r 13TA172   W84  C~352D      
2014 10  29.21345  00 35 07.980  -00 30 29.13  23.0r 13TA172   W84  C~4yR8      
2014 11  13.129271 00 34 05.23   -00 37 20.1   23.1i 13TA172   W84  C~352D      
2014 11  13.12979  00 34 05.230  -00 37 20.19  22.7i 13TA172   W84  C~4yR8      
2015 11  02.09945  00 42 53.266  -00 13 08.45  23.6r 13TA172   W84  C~4yR8      
2016 08  26.32136  00 56 31.080  +00 48 03.76  23.0i 13TA172   W84  C~4yR8      
2016 08  26.32136  00 56 31.08   +00 48 03.7   23.1i 13TA172   W84  C~3clO      
2016 08  26.32273  00 56 31.075  +00 48 03.84  22.5r 13TA172   W84  C~4yR8      
2016 08  26.32273  00 56 31.07   +00 48 03.9   22.7r 13TA172   W84  C~3clO      
2016 08  26.32411  00 56 31.066  +00 48 04.05  22.2z 13TA172   W84  C~4yR8      
2016 08  30.35404  00 56 15.704  +00 45 41.65  24.0g 13TA172   W84  C~4yR8      
2016 10  23.126644 00 51 44.59   +00 11 12.5   23.6g 13TA172   W84  C~352D      
2016 10  23.12717  00 51 44.608  +00 11 12.21  24.2g 13TA172   W84  C~4yR8      
2016 11  05.19660  00 50 40.838  +00 04 17.07  23.0i 13TA172   W84  C~4yR8      
2016 11  05.19660  00 50 40.84   +00 04 17.1   23.0i 13TA172   W84  C~3clO      
2016 11  06.18077  00 50 36.401  +00 03 49.15  23.7r 13TA172   W84  C~4yR8      
2016 11  06.18077  00 50 36.40   +00 03 49.2   23.7r 13TA172   W84  C~3clO      
2017 09  18.28731  01 03 01.594  +00 53 21.06  22.7r 13TA172   W84  C~4yR8      
2017 09  18.28870  01 03 01.584  +00 53 20.94  22.7i 13TA172   W84  C~4yR8      
2017 09  24.29256  01 02 31.063  +00 49 20.96  22.4z 13TA172   W84  C~4yR8      
2018 09  14.34565  01 11 35.758  +01 15 44.28  23.3i 13TA172   W84  C~4yR8      
2018 09  14.34702  01 11 35.750  +01 15 44.15  23.0r 13TA172   W84  C~4yR8      
2018 09  14.34839  01 11 35.740  +01 15 44.15  23.9g 13TA172   W84  C~4yR8      
2018 10  18.20600  01 08 38.054  +00 53 34.80  22.9z 13TA172   W84  C~4yR8      

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    -0.13       0.00     0.04
     2   0.0000      0.00    -0.14       0.00     0.03
     3   0.0000      0.00     0.12       0.00    -0.12
     4   0.0000      0.00     0.15       0.00    -0.13
     5   0.0713      0.00     0.20       0.00    -0.01
     6   0.0713      0.00     0.20       0.00    -0.01
     7   0.0713      0.00    -0.05       0.00     0.21
     8   0.0713      0.00    -0.09       0.00    -0.03
     9   0.1094      0.00     0.15       0.00    -0.10
    10   0.1094      0.00     0.18       0.00    -0.07
    11   0.1122      0.00    -0.20       0.00     0.01
    12   0.1122      0.00    -0.18       0.00    -0.04
    13   0.1122      0.00     0.01       0.00     0.03
    14   0.1122      0.00    -0.04       0.00     0.06
    15   1.0433      0.00    -0.21       0.00     0.38
    16   1.0433      0.00    -0.02       0.00    -0.03
    17   1.0842      0.00    -0.07       0.00     0.05
    18   1.0842      0.00    -0.05       0.00    -0.03
    19   2.0533      0.00     0.09       0.00     0.06
    20   2.8698      0.00     0.06       0.00    -0.17
    21   2.8698      0.00     0.06       0.00    -0.11
    22   2.8698      0.00    -0.01       0.00     0.07
    23   2.8698      0.00     0.06       0.00     0.01
    24   2.8698      0.00     0.00       0.00     0.27
    25   2.8808      0.00    -0.02       0.00    -0.30
    26   3.0280      0.00    -0.13       0.00     0.17
    27   3.0280      0.00     0.18       0.00    -0.10
    28   3.0638      0.00     0.04       0.00    -0.01
    29   3.0638      0.00     0.01       0.00    -0.04
    30   3.0665      0.00    -0.00       0.00    -0.04
    31   3.0665      0.00     0.01       0.00    -0.09
    32   3.9320      0.00     0.04       0.00     0.00
    33   3.9320      0.00    -0.01       0.00    -0.06
    34   3.9484      0.00     0.04       0.00    -0.04
    35   4.9205      0.00     0.01       0.00     0.09
    36   4.9205      0.00    -0.01       0.00     0.01
    37   4.9205      0.00    -0.06       0.00     0.06
    38   5.0132      0.00    -0.01       0.00     0.07

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.

13TA172    quality flag:1

Type:       SCATNEAR  CENTAURS      3:2E

axisobj        39.708    39.708    39.709
ecceobj         0.189     0.189     0.189
incobj         14.513    14.513    14.513
qmin           30.763    30.176    30.255
qmax           48.989    49.614    49.481
amean          39.458    39.459    39.457
amin           38.833    38.870    38.871
amax           40.122    40.097    40.102
emean           0.164     0.174     0.175
emin            0.051     0.072     0.111
emax            0.222     0.237     0.235
imean          13.528    14.931    14.681
imin            8.782    11.979    13.040
imax           16.818    19.323    16.756
excite_mean     0.290     0.315     0.309
fracstop        1.000     1.000     1.000
cjmean          2.956     2.938     2.942

libcent 0      -180.0    -180.0     176.5
libamp  0      -180.0    -180.0     174.6
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       173.9     166.8     155.4
kozaiamp        179.8     179.5     180.0