Orbit Fit and Astrometric record for 13TM172

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: 13TM172   
# Created Tue Dec  7 02:12:09 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     31 observations of     31
# Arc:   7.02y
# First observation: 2013/10/13
#  Last observation: 2020/10/20
# Chi-squared of fit:    16.62 DOF:     56 RMS:  0.13
# Min/Max residuals:    -0.38    0.30
# Exact a, adot, b, bdot, g, gdot:
  1.880912E-05  3.477238E-02  4.763474E-06  7.574797E-03  2.815089E-02 -1.293715E-03
# Covariance matrix:
  1.9661E-13 -9.5405E-14  1.3323E-14 -1.4728E-14  3.2706E-14 -2.8902E-13
 -9.5405E-14  8.5992E-14 -1.5672E-14  1.6809E-14  2.6788E-14  3.2856E-13
  1.3323E-14 -1.5672E-14  1.3134E-13 -3.2820E-14 -8.0475E-15 -6.8497E-14
 -1.4728E-14  1.6809E-14 -3.2820E-14  1.4585E-14  6.2706E-15  7.3473E-14
  3.2706E-14  2.6788E-14 -8.0475E-15  6.2706E-15  3.1258E-13  1.1642E-13
 -2.8902E-13  3.2856E-13 -6.8497E-14  7.3473E-14  1.1642E-13  1.4362E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.814239    2.034442   -0.300819   -0.046579   -0.949842  2456578.601098
# Heliocentric elements and errors
Epoch:              2456578.5000  =  2013/10/13
Mean Anomaly:          358.36686 +/-     0.002
Argument of Peri:      352.61410 +/-     0.006
Long of Asc Node:       14.86826 +/-     0.000
Inclination:            12.60980 +/-     0.000
Eccentricity:         0.47838205 +/-    0.0001
Semi-Major Axis:     69.82845478 +/-    0.0129
Time of Perihelion: 2457545.3726 +/-      58.7
Perihelion:          36.42377575 +/-    0.0090
Aphelion:           103.23313381 +/-    0.0200
Period (y)              583.5215 +/-      0.16
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.39684383 +/-    0.0007
Ecliptic Y            1.59703487 +/-    0.0000
Ecliptic Z           -1.74396231 +/-    0.0000
Ecliptic XDOT        -0.00021567 +/-    0.0000
Ecliptic YDOT         0.00337508 +/-    0.0000
Ecliptic ZDOT         0.00074213 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.47360279 +/-    0.0007
Geocenter to KBO     35.52292285 +/-    0.0007
# Hcoef:  7.69

The following table shows the complete astrometric record for 13TM172. 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 (13TM172) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.10032  00 11 56.566  -01 46 23.34  22.9z 13TM172   W84  C~4yR9      
2013 10  13.132442 00 11 56.40   -01 46 24.1   23.0i 13TM172   W84  C~35ba      
2013 10  13.13297  00 11 56.403  -01 46 24.12  23.4i 13TM172   W84  C~4yR9      
2013 11  22.11198  00 09 29.601  -01 57 03.32  23.7r 13TM172   W84  C~4yR9      
2013 11  22.112824 00 09 29.58   -01 57 03.4   23.0i 13TM172   W84  C~35ba      
2013 11  22.11335  00 09 29.597  -01 57 03.61  23.1i 13TM172   W84  C~4yR9      
2014 10  02.249375 00 19 28.70   -00 29 59.7   22.9r 13TM172   W84  C~35ba      
2014 10  02.24991  00 19 28.700  -00 29 59.66  22.9r 13TM172   W84  C~4yR9      
2014 10  28.194873 00 17 26.45   -00 40 33.6   23.4r 13TM172   W84  C~35ba      
2014 10  28.19540  00 17 26.455  -00 40 33.68  23.8r 13TM172   W84  C~4yR9      
2014 11  17.02911  00 16 16.002  -00 45 39.96  23.0z 13TM172   W84  C~4yR9      
2015 10  17.15966  00 24 54.222  +00 35 13.59  24.1r 13TM172   W84  C~4yR9      
2015 11  02.09796  00 23 43.374  +00 29 16.63  23.0r 13TM172   W84  C~4yR9      
2016 09  09.324167 00 34 34.25   +02 03 29.3   23.1i 13TM172   W84  C~35ba      
2016 09  09.32469  00 34 34.254  +02 03 29.16  23.1i 13TM172   W84  C~4yR9      
2016 09  09.325544 00 34 34.27   +02 03 29.2   23.3r 13TM172   W84  C~35ba      
2016 09  09.32608  00 34 34.269  +02 03 29.12  23.1r 13TM172   W84  C~4yR9      
2016 10  02.18440  00 32 42.565  +01 53 09.82  23.0i 13TM172   W84  C~4yR9      
2016 11  08.140961 00 29 52.73   +01 38 29.0   22.6z 13TM172   W84  C~35ba      
2016 11  28.100694 00 28 53.62   +01 34 23.6   23.4r 13TM172   W84  C~35ba      
2016 11  28.10122  00 28 53.627  +01 34 23.63  23.1r 13TM172   W84  C~4yR9      
2016 11  30.088137 00 28 49.61   +01 34 12.0   23.0i 13TM172   W84  C~35ba      
2016 11  30.08866  00 28 49.612  +01 34 11.75  23.3i 13TM172   W84  C~4yR9      
2016 11  30.09967  00 28 49.589  +01 34 11.72  23.9g 13TM172   W84  C~4yR9      
2017 10  29.13483  00 37 11.343  +02 53 13.09  22.9z 13TM172   W84  C~4yR9      
2018 09  09.25958  00 47 52.871  +04 26 09.39  22.9z 13TM172   W84  C~4yR9      
2018 11  26.06693  00 42 07.035  +03 56 04.92  23.3r 13TM172   W84  C~4yR9      
2018 11  26.06832  00 42 07.035  +03 56 05.05  23.6g 13TM172   W84  C~4yR9      
2020 10  20.129100 00 57 50.091  +06 29 34.24  23.0G 13TM172   G37  C~4Kw0      
2020 10  20.177130 00 57 49.841  +06 29 33.06        13TM172   G37  C~4Kw0      
2020 10  20.233290 00 57 49.566  +06 29 31.52        13TM172   G37  C~4Kw0      

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    -0.04
     2   0.0001      0.00     0.02       0.00    -0.01
     3   0.0001      0.00     0.11       0.00    -0.02
     4   0.1095      0.00     0.02       0.00     0.17
     5   0.1095      0.00    -0.26       0.00     0.09
     6   0.1095      0.00     0.01       0.00    -0.12
     7   0.9696      0.00     0.03       0.00     0.00
     8   0.9696      0.00     0.07       0.00     0.06
     9   1.0406      0.00    -0.01       0.00    -0.16
    10   1.0406      0.00     0.10       0.00    -0.23
    11   1.0949      0.00     0.10       0.00    -0.29
    12   2.0097      0.00     0.01       0.00    -0.02
    13   2.0534      0.00     0.13       0.00    -0.01
    14   2.9082      0.00    -0.38       0.00     0.30
    15   2.9082      0.00    -0.29       0.00     0.17
    16   2.9082      0.00     0.01       0.00     0.24
    17   2.9082      0.00     0.04       0.00     0.17
    18   2.9708      0.00    -0.15       0.00    -0.06
    19   3.0720      0.00     0.17       0.00     0.02
    20   3.1266      0.00    -0.03       0.00    -0.07
    21   3.1266      0.00     0.10       0.00    -0.04
    22   3.1321      0.00    -0.05       0.00     0.17
    23   3.1321      0.00    -0.01       0.00    -0.08
    24   3.1321      0.00    -0.02       0.00    -0.05
    25   4.0439      0.00    -0.05       0.00     0.00
    26   4.9067      0.00     0.18       0.00     0.06
    27   5.1197      0.00    -0.02       0.00    -0.03
    28   5.1197      0.00     0.04       0.00     0.12
    29   7.0199      0.00     0.08       0.00    -0.13
    30   7.0201      0.00    -0.04       0.00    -0.05
    31   7.0202      0.00     0.08       0.00    -0.12

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.

13TM172    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        70.621    70.620    70.621
ecceobj         0.484     0.484     0.484
incobj         12.584    12.584    12.584
qmin           35.131    34.785    35.130
qmax          106.280   106.699   106.183
amean          69.239    69.651    69.740
amin           68.123    68.111    68.203
amax           71.084    71.202    71.145
emean           0.475     0.484     0.479
emin            0.460     0.463     0.465
emax            0.496     0.501     0.495
imean          12.146    11.584    12.114
imin           10.955    10.295    11.096
imax           13.124    12.868    12.991
excite_mean     0.520     0.524     0.523
fracstop        1.000     1.000     1.000
cjmean          3.043     3.040     3.044

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       174.9     165.9     166.1
kozaiamp        180.0     180.0     180.0