Orbit Fit and Astrometric record for 13TK172

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: 13TK172   
# Created Fri Dec  3 02:12:04 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     41 observations of     41
# Arc:   5.11y
# First observation: 2013/10/04
#  Last observation: 2018/11/15
# Chi-squared of fit:    14.30 DOF:     76 RMS:  0.10
# Min/Max residuals:    -0.35    0.37
# Exact a, adot, b, bdot, g, gdot:
  1.612119E-05  2.656353E-02  2.625591E-06  3.347929E-03  2.558027E-02  4.180008E-03
# Covariance matrix:
  2.0520E-13 -1.5015E-13  1.0704E-14 -1.4564E-14 -8.9864E-15 -8.8493E-13
 -1.5015E-13  1.8554E-13 -1.8469E-14  2.2289E-14  9.0870E-14  1.3537E-12
  1.0704E-14 -1.8469E-14  1.1517E-13 -3.9813E-14 -1.5706E-14 -1.5247E-13
 -1.4564E-14  2.2289E-14 -3.9813E-14  2.1206E-14  1.3626E-14  1.8114E-13
 -8.9864E-15  9.0870E-14 -1.5706E-14  1.3626E-14  2.1877E-13  8.2625E-13
 -8.8493E-13  1.3537E-12 -1.5247E-13  1.8114E-13  8.2625E-13  1.1001E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -10.681172   16.736733    0.103939   -0.184301   -0.977721  2456569.675658
# Heliocentric elements and errors
Epoch:              2456570.5000  =  2013/10/05
Mean Anomaly:           38.51043 +/-     0.013
Argument of Peri:      247.60734 +/-     0.024
Long of Asc Node:       72.05870 +/-     0.001
Inclination:            12.58023 +/-     0.000
Eccentricity:         0.20333788 +/-    0.0001
Semi-Major Axis:     46.51812250 +/-    0.0042
Time of Perihelion: 2444173.7592 +/-       4.4
Perihelion:          37.05922614 +/-    0.0065
Aphelion:            55.97701887 +/-    0.0075
Period (y)              317.2791 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.77006879 +/-    0.0007
Ecliptic Y           11.25265706 +/-    0.0002
Ecliptic Z           -7.24549696 +/-    0.0001
Ecliptic XDOT        -0.00034029 +/-    0.0000
Ecliptic YDOT         0.00286701 +/-    0.0000
Ecliptic ZDOT         0.00026934 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.07105886 +/-    0.0006
Geocenter to KBO     39.09255979 +/-    0.0007
# Hcoef:  6.79

The following table shows the complete astrometric record for 13TK172. 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 (13TK172) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.17488  01 18 01.524  -03 17 43.58  23.6g 13TK172   W84  C~4yR9      
2013 10  04.17488  01 18 01.52   -03 17 43.6   23.8g 13TK172   W84  C~3clP      
2013 10  11.24890  01 17 28.156  -03 20 58.34  23.9g 13TK172   W84  C~4yR9      
2013 10  11.24890  01 17 28.16   -03 20 58.4   24.0g 13TK172   W84  C~3clP      
2014 08  18.34382  01 26 10.020  -02 10 11.35  22.0z 13TK172   W84  C~4yR9      
2014 08  18.34382  01 26 10.02   -02 10 11.2   22.4z 13TK172   W84  C~3clP      
2014 10  01.32825  01 23 34.725  -02 30 57.55  22.4i 13TK172   W84  C~4yR9      
2014 10  01.32825  01 23 34.72   -02 30 57.6   22.5i 13TK172   W84  C~3clP      
2014 10  28.24596  01 21 28.467  -02 42 21.60  22.8r 13TK172   W84  C~4yR9      
2014 10  28.24596  01 21 28.47   -02 42 21.6   22.8r 13TK172   W84  C~3clP      
2014 10  28.246840 01 21 28.45   -02 42 21.3   23.5g 13TK172   W84  C~35ba      
2014 10  28.24736  01 21 28.456  -02 42 21.69  23.9g 13TK172   W84  C~4yR9      
2014 10  29.24869  01 21 23.855  -02 42 42.29  22.3i 13TK172   W84  C~4yR9      
2014 10  29.24869  01 21 23.85   -02 42 42.3   22.3i 13TK172   W84  C~3clP      
2014 11  16.15457  01 20 07.351  -02 47 28.20  22.7r 13TK172   W84  C~4yR9      
2014 11  16.15457  01 20 07.35   -02 47 28.2   22.8r 13TK172   W84  C~3clP      
2014 11  21.04267  01 19 49.054  -02 48 16.06  22.5z 13TK172   W84  C~4yR9      
2014 11  21.04267  01 19 49.05   -02 48 16.1   22.8z 13TK172   W84  C~3clP      
2014 11  28.122222 01 19 25.16   -02 48 59.3   22.3z 13TK172   W84  C~35ba      
2014 11  28.12275  01 19 25.177  -02 48 59.32  22.1z 13TK172   W84  C~4yR9      
2014 12  06.10204  01 19 02.530  -02 49 10.69  22.3z 13TK172   W84  C~4yR9      
2014 12  06.10204  01 19 02.53   -02 49 10.7   22.3z 13TK172   W84  C~3clP      
2016 08  14.40582  01 36 36.312  -00 40 20.95  23.3r 13TK172   W84  C~4yR9      
2016 08  14.40582  01 36 36.31   -00 40 20.9   23.4r 13TK172   W84  C~3clP      
2016 08  15.42320  01 36 34.659  -00 40 42.81  22.5i 13TK172   W84  C~4yR9      
2016 08  15.42320  01 36 34.66   -00 40 42.8   22.5i 13TK172   W84  C~3clP      
2016 10  21.19504  01 32 27.672  -01 10 21.78  22.2z 13TK172   W84  C~4yR9      
2016 10  23.181238 01 32 18.29   -01 11 08.3   23.0r 13TK172   W84  C~35ba      
2016 10  23.18176  01 32 18.320  -01 11 08.63  22.8r 13TK172   W84  C~4yR9      
2016 10  28.25076  01 31 54.601  -01 13 01.11  24.0g 13TK172   W84  C~4yR9      
2016 10  28.25076  01 31 54.60   -01 13 01.1   24.1g 13TK172   W84  C~3clP      
2016 10  29.20921  01 31 50.167  -01 13 21.26  22.8r 13TK172   W84  C~4yR9      
2016 10  29.20921  01 31 50.17   -01 13 21.3   22.8r 13TK172   W84  C~3clP      
2016 10  29.21058  01 31 50.163  -01 13 21.23  22.4i 13TK172   W84  C~4yR9      
2016 10  29.21058  01 31 50.16   -01 13 21.2   22.6i 13TK172   W84  C~3clP      
2016 11  04.23429  01 31 22.752  -01 15 19.53  22.1z 13TK172   W84  C~4yR9      
2016 11  04.23429  01 31 22.75   -01 15 19.5   22.3z 13TK172   W84  C~3clP      
2018 09  09.26271  01 45 44.290  +00 36 46.35  22.3i 13TK172   W84  C~4yR9      
2018 09  09.26408  01 45 44.289  +00 36 46.27  22.6r 13TK172   W84  C~4yR9      
2018 09  09.26545  01 45 44.280  +00 36 46.28  23.6g 13TK172   W84  C~4yR9      
2018 11  15.08560  01 40 54.322  +00 09 54.51  22.3i 13TK172   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     0.10       0.00    -0.08
     2   0.0000      0.00     0.04       0.00    -0.10
     3   0.0194      0.00     0.08       0.00    -0.17
     4   0.0194      0.00     0.02       0.00    -0.11
     5   0.8711      0.00    -0.11       0.00    -0.04
     6   0.8711      0.00    -0.11       0.00    -0.19
     7   0.9915      0.00     0.17       0.00     0.07
     8   0.9915      0.00     0.09       0.00     0.02
     9   1.0652      0.00     0.15       0.00     0.05
    10   1.0652      0.00     0.11       0.00     0.05
    11   1.0652      0.00    -0.09       0.00     0.37
    12   1.0652      0.00     0.04       0.00    -0.01
    13   1.0680      0.00    -0.05       0.00    -0.02
    14   1.0680      0.00     0.02       0.00    -0.01
    15   1.1170      0.00     0.06       0.00     0.01
    16   1.1170      0.00     0.04       0.00     0.01
    17   1.1304      0.00    -0.12       0.00    -0.13
    18   1.1304      0.00    -0.06       0.00    -0.09
    19   1.1498      0.00    -0.28       0.00     0.21
    20   1.1498      0.00    -0.00       0.00     0.19
    21   1.1716      0.00    -0.05       0.00     0.08
    22   1.1716      0.00    -0.05       0.00     0.09
    23   2.8617      0.00     0.06       0.00     0.04
    24   2.8617      0.00     0.09       0.00    -0.01
    25   2.8645      0.00     0.02       0.00    -0.06
    26   2.8645      0.00     0.00       0.00    -0.07
    27   3.0473      0.00    -0.06       0.00     0.03
    28   3.0527      0.00    -0.35       0.00     0.12
    29   3.0527      0.00     0.14       0.00    -0.19
    30   3.0666      0.00     0.01       0.00    -0.01
    31   3.0666      0.00     0.03       0.00    -0.02
    32   3.0692      0.00     0.08       0.00    -0.00
    33   3.0692      0.00     0.03       0.00     0.04
    34   3.0692      0.00     0.03       0.00     0.12
    35   3.0692      0.00     0.07       0.00     0.09
    36   3.0857      0.00    -0.06       0.00    -0.02
    37   3.0857      0.00    -0.03       0.00    -0.05
    38   4.9311      0.00     0.00       0.00    -0.04
    39   4.9311      0.00     0.06       0.00    -0.09
    40   4.9311      0.00    -0.01       0.00    -0.04
    41   5.1141      0.00     0.08       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.

13TK172    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        46.850    46.850    46.850
ecceobj         0.209     0.209     0.209
incobj         12.584    12.584    12.584
qmin           36.493    36.493    36.493
qmax           56.985    57.020    57.007
amean          46.529    46.531    46.529
amin           46.125    46.129    46.124
amax           47.007    47.023    47.020
emean           0.198     0.198     0.198
emin            0.184     0.184     0.184
emax            0.213     0.214     0.213
imean          11.056    11.056    11.056
imin           10.457    10.461    10.459
imax           11.730    11.730    11.730
excite_mean     0.276     0.276     0.276
fracstop        1.000     1.000     1.000
cjmean          3.039     3.039     3.039

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       179.5     179.4     179.7
kozaiamp        180.0     180.0     179.9