Orbit Fit and Astrometric record for 13TL172

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: 13TL172   
# Created Tue Apr  1 01:09:45 2025
# Orbit generated from Bernstein formalism
# Fitting     27 observations of     27
# Arc:   4.99y
# First observation: 2013/10/13
#  Last observation: 2018/10/10
Preliminary a, adot, b, bdot, g, gdot:
   0.000114   0.019714  -0.000005  -0.000028   0.022555   0.000000
# Chi-squared of fit:     8.31 DOF:     48 RMS:  0.10
# Min/Max residuals:    -0.30    0.25
# Exact a, adot, b, bdot, g, gdot:
  1.468932E-05  1.969465E-02 -8.196627E-07 -2.786682E-05  2.200642E-02 -3.740352E-04
# Covariance matrix:
  2.0343E-13 -8.4533E-14 -8.5209E-16  1.7163E-16  1.2592E-13 -3.5359E-13
 -8.4533E-14  1.9566E-13 -8.2028E-16 -4.6450E-17  1.7272E-13  2.0603E-12
 -8.5209E-16 -8.2028E-16  1.4892E-13 -3.9922E-14 -4.9067E-15 -1.3360E-14
  1.7163E-16 -4.6450E-17 -3.9922E-14  1.6867E-14  5.7821E-16  5.6469E-17
  1.2592E-13  1.7272E-13 -4.9067E-15  5.7821E-16  8.2489E-13  2.6153E-12
 -3.5359E-13  2.0603E-12 -1.3360E-14  5.6469E-17  2.6153E-12  2.4335E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.827182    2.517762   -0.292740   -0.030291   -0.953021  2456578.598308
# Heliocentric elements and errors
Epoch:              2456570.5000  =  2013/10/05
Mean Anomaly:          195.18902 +/-     0.228
Argument of Peri:       74.24685 +/-     0.224
Long of Asc Node:       95.13138 +/-     0.012
Inclination:             1.79108 +/-     0.000
Eccentricity:         0.06107674 +/-    0.0001
Semi-Major Axis:     43.80297956 +/-    0.0062
Time of Perihelion: 2505047.7014 +/-      66.1
Perihelion:          41.12763644 +/-    0.0073
Aphelion:            46.47832268 +/-    0.0079
Period (y)              289.9103 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           46.31352315 +/-    0.0019
Ecliptic Y            2.33261779 +/-    0.0001
Ecliptic Z           -1.44895949 +/-    0.0001
Ecliptic XDOT        -0.00016038 +/-    0.0000
Ecliptic YDOT         0.00244438 +/-    0.0000
Ecliptic ZDOT        -0.00000184 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   46.39485980 +/-    0.0019
Geocenter to KBO     45.44127626 +/-    0.0019
# Hcoef:  6.78

The following table shows the complete astrometric record for 13TL172. 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 (13TL172) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.09753  00 12 08.737  -00 40 31.66  22.7z 13TL172   W84  C~4yR9      
2013 10  13.11488  00 12 08.676  -00 40 32.20  23.1i 13TL172   W84  C~4yR9      
2013 11  08.16530  00 10 39.655  -00 49 34.27  23.5r 13TL172   W84  C~4yR9      
2013 11  08.16667  00 10 39.664  -00 49 34.53  23.1i 13TL172   W84  C~4yR9      
2013 11  22.08973  00 10 06.842  -00 52 39.06  24.5g 13TL172   W84  C~4yR9      
2013 11  22.09111  00 10 06.830  -00 52 38.80  23.7r 13TL172   W84  C~4yR9      
2013 11  22.09392  00 10 06.823  -00 52 38.93  23.2i 13TL172   W84  C~4yR9      
2014 10  02.249375 00 17 01.78   -00 09 00.4   23.2r 13TL172   W84  C~35ba      
2014 10  02.24991  00 17 01.783  -00 09 00.55  23.3r 13TL172   W84  C~4yR9      
2014 10  02.25263  00 17 01.761  -00 09 00.58  23.1i 13TL172   W84  C~4yR9      
2014 10  28.18544  00 15 22.320  -00 19 23.37  23.1i 13TL172   W84  C~4yR9      
2014 10  28.19540  00 15 22.278  -00 19 23.57  23.7r 13TL172   W84  C~4yR9      
2016 10  23.13956  00 23 54.442  +00 35 45.63  23.7r 13TL172   W84  C~4yR9      
2016 11  08.13786  00 23 00.525  +00 30 20.90  22.9i 13TL172   W84  C~4yR9      
2016 11  08.13923  00 23 00.526  +00 30 21.00  22.8z 13TL172   W84  C~4yR9      
2016 11  30.10104  00 22 10.065  +00 25 41.24  23.4r 13TL172   W84  C~4yR9      
2016 11  30.10240  00 22 10.058  +00 25 41.38  23.1i 13TL172   W84  C~4yR9      
2017 09  27.193241 00 29 47.60   +01 13 34.0   23.7r 13TL172   W84  C~35ba      
2017 09  27.19377  00 29 47.606  +01 13 33.89  23.6r 13TL172   W84  C~4yR9      
2017 09  27.194606 00 29 47.59   +01 13 34.1   23.6i 13TL172   W84  C~35ba      
2017 09  27.19514  00 29 47.586  +01 13 33.88  23.1i 13TL172   W84  C~4yR9      
2017 09  27.19652  00 29 47.587  +01 13 34.00  24.3g 13TL172   W84  C~4yR9      
2017 10  27.17431  00 27 48.803  +01 01 06.62  22.5z 13TL172   W84  C~4yR9      
2017 10  29.14670  00 27 41.788  +01 00 23.78  22.5z 13TL172   W84  C~4yR9      
2018 09  09.33142  00 35 08.342  +01 48 12.26  23.3r 13TL172   W84  C~4yR9      
2018 09  09.33280  00 35 08.328  +01 48 12.21  23.4i 13TL172   W84  C~4yR9      
2018 10  10.25820  00 33 04.340  +01 34 48.39  23.1i 13TL172   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    -0.11       0.00     0.16
     2   0.0000     -1.05    -0.05      -0.13     0.01
     3   0.0714  -1441.74    -0.03      33.02     0.25
     4   0.0714  -1441.72     0.05      32.73    -0.04
     5   0.1095  -1966.82     0.07      58.99    -0.30
     6   0.1095  -1966.88     0.05      59.30     0.01
     7   0.1095  -1967.03    -0.01      59.22    -0.08
     8   0.9696   4785.97     0.06     -11.83     0.07
     9   0.9696   4785.95     0.08     -11.98    -0.09
    10   0.9696   4785.64    -0.05     -11.88     0.02
    11   1.0406   3168.77    -0.00       9.65    -0.08
    12   1.0407   3168.11    -0.10       9.72    -0.03
    13   3.0282  11544.65     0.10      -7.86    -0.09
    14   3.0720  10670.96     0.02      15.64    -0.03
    15   3.0720  10671.01     0.14      15.72     0.05
    16   3.1321   9863.29    -0.05      59.93    -0.06
    17   3.1321   9863.25    -0.06      60.10     0.11
    18   3.9565  17335.18    -0.00     -30.58     0.06
    19   3.9565  17335.22     0.07     -30.71    -0.07
    20   3.9565  17335.08    -0.01     -30.42     0.21
    21   3.9565  17334.94    -0.12     -30.60     0.04
    22   3.9565  17335.00     0.04     -30.50     0.14
    23   4.0385  15391.11    -0.22      -8.82     0.09
    24   4.0439  15276.91     0.05      -6.34    -0.09
    25   4.9069  22623.87     0.08     -31.44    -0.12
    26   4.9069  22623.65    -0.05     -31.40    -0.08
    27   4.9915  20576.08     0.03     -31.92    -0.05

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.

13TL172    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        44.042    44.060    44.023
ecceobj         0.055     0.055     0.055
incobj          1.791     1.791     1.791
qmin           40.269    40.291    40.181
qmax           47.668    47.644    47.670
amean          43.846    43.864    43.828
amin           43.506    43.523    43.484
amax           44.213    44.224    44.204
emean           0.061     0.061     0.061
emin            0.044     0.044     0.044
emax            0.079     0.078     0.079
imean           0.709     0.704     0.713
imin            0.371     0.371     0.372
imax            0.991     0.982     1.000
excite_mean     0.063     0.062     0.063
fracstop        1.000     1.000     1.000
cjmean          3.095     3.095     3.095

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       186.8     185.1     189.1
kozaiamp        180.0     180.0     179.9