Orbit Fit and Astrometric record for 13TG172

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: 13TG172   
# Created Fri Dec  3 02:12:04 2021
# Orbit generated from Bernstein formalism
# Fitting     24 observations of     24
# Arc:   3.19y
# First observation: 2013/09/08
#  Last observation: 2016/11/18
Preliminary a, adot, b, bdot, g, gdot:
  -0.000066   0.038921   0.000008   0.003241   0.031036   0.000000
# Chi-squared of fit:     9.91 DOF:     42 RMS:  0.11
# Min/Max residuals:    -0.26    0.32
# Exact a, adot, b, bdot, g, gdot:
  1.925398E-05  3.937102E-02  2.902747E-06  3.282099E-03  3.142059E-02  2.523920E-03
# Covariance matrix:
  4.1574E-13 -1.0595E-13  2.2346E-15 -1.3666E-14  4.0249E-13 -1.3309E-12
 -1.0595E-13  8.3138E-13 -1.8271E-14  8.7122E-14  1.8210E-13  8.4001E-12
  2.2346E-15 -1.8271E-14  8.9964E-14 -4.2845E-14 -3.4139E-15 -2.0032E-13
 -1.3666E-14  8.7122E-14 -4.2845E-14  7.0041E-14  1.2355E-14  9.6104E-13
  4.0249E-13  1.8210E-13 -3.4139E-15  1.2355E-14  5.8751E-13  1.1740E-12
 -1.3309E-12  8.4001E-12 -2.0032E-13  9.6104E-13  1.1740E-12  9.2687E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.697303    7.030579    0.372033   -0.011322   -0.937219  2456543.693748
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:            5.86953 +/-     0.026
Argument of Peri:      339.86320 +/-     0.054
Long of Asc Node:       14.47188 +/-     0.001
Inclination:             4.80287 +/-     0.000
Eccentricity:         0.32062832 +/-    0.0001
Semi-Major Axis:     47.97242320 +/-    0.0093
Time of Perihelion: 2454561.7707 +/-       8.7
Perihelion:          32.59110571 +/-    0.0094
Aphelion:            63.35374069 +/-    0.0141
Period (y)              332.2735 +/-      0.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.56004114 +/-    0.0008
Ecliptic Y            3.64378393 +/-    0.0001
Ecliptic Z           -0.38723949 +/-    0.0000
Ecliptic XDOT        -0.00020438 +/-    0.0000
Ecliptic YDOT         0.00343102 +/-    0.0000
Ecliptic ZDOT         0.00028343 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   32.76558248 +/-    0.0008
Geocenter to KBO     31.82626006 +/-    0.0008
# Hcoef:  8.05

The following table shows the complete astrometric record for 13TG172. 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 (13TG172) followed by the observatory code and reference code for the source of the astrometry.

2013 09  08.19297  00 26 55.523  +02 09 00.51  24.0g 13TG172   W84  C~4yR9      
2013 09  09.20187  00 26 50.404  +02 08 29.27  23.9g 13TG172   W84  C~4yR9      
2013 10  03.093067 00 24 41.80   +01 55 23.4   23.5g 13TG172   W84  C~35ba      
2013 10  03.09360  00 24 41.804  +01 55 23.19  24.1g 13TG172   W84  C~4yR9      
2013 10  13.09473  00 23 47.445  +01 49 55.16  21.7z 13TG172   W84  C~4yR9      
2013 10  13.09473  00 23 47.46   +01 49 55.4   21.6z 13TG172   W84  C~3clO      
2013 10  13.11927  00 23 47.318  +01 49 54.31  22.7i 13TG172   W84  C~4yR9      
2013 10  13.11927  00 23 47.32   +01 49 54.3   22.7i 13TG172   W84  C~3clO      
2013 11  08.16809  00 21 44.348  +01 37 49.13  23.0r 13TG172   W84  C~4yR9      
2013 11  08.16809  00 21 44.35   +01 37 49.1   23.1r 13TG172   W84  C~3clO      
2013 11  22.07262  00 20 58.514  +01 33 34.68  23.7r 13TG172   W84  C~4yR9      
2013 11  22.07262  00 20 58.51   +01 33 34.7   23.7r 13TG172   W84  C~3clO      
2013 11  22.07399  00 20 58.516  +01 33 34.67  23.5i 13TG172   W84  C~4yR9      
2013 11  23.09272  00 20 55.870  +01 33 20.86  23.2r 13TG172   W84  C~4yR9      
2013 11  23.09272  00 20 55.87   +01 33 20.8   23.3r 13TG172   W84  C~3clO      
2013 11  23.09414  00 20 55.862  +01 33 20.72  22.8i 13TG172   W84  C~4yR9      
2013 11  23.09414  00 20 55.86   +01 33 20.7   22.9i 13TG172   W84  C~3clO      
2014 10  21.22060  00 31 05.407  +02 49 31.36  23.0i 13TG172   W84  C~4yR9      
2014 10  21.22060  00 31 05.41   +02 49 31.3   23.3i 13TG172   W84  C~3clO      
2014 10  29.19088  00 30 25.946  +02 45 37.18  23.3r 13TG172   W84  C~4yR9      
2014 10  29.19088  00 30 25.95   +02 45 37.2   23.4r 13TG172   W84  C~3clO      
2016 11  18.12288  00 44 48.568  +04 42 31.16  23.1i 13TG172   W84  C~4yR9      
2016 11  18.12288  00 44 48.57   +04 42 31.2   23.1i 13TG172   W84  C~3clP      
2016 11  18.12426  00 44 48.559  +04 42 30.98  23.2z 13TG172   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     0.12       0.00    -0.26
     2   0.0028    -82.83    -0.26       1.62    -0.06
     3   0.0682  -2164.39    -0.13      41.68     0.03
     4   0.0682  -2164.42    -0.11      41.46    -0.19
     5   0.0956  -3042.80     0.02      62.44     0.12
     6   0.0956  -3042.50     0.32      62.57     0.26
     7   0.0956  -3044.89     0.07      62.41     0.03
     8   0.0956  -3044.86     0.10      62.39     0.01
     9   0.1669  -5025.83     0.10     125.80    -0.02
    10   0.1669  -5025.84     0.09     125.84     0.02
    11   0.2050  -5758.22    -0.21     164.24     0.03
    12   0.2050  -5758.18    -0.16     164.19    -0.01
    13   0.2050  -5758.15    -0.08     164.17    -0.04
    14   0.2078  -5800.11     0.08     167.14     0.01
    15   0.2078  -5800.09     0.10     167.20     0.06
    16   0.2078  -5800.29    -0.04     167.11    -0.03
    17   0.2078  -5800.25    -0.00     167.12    -0.02
    18   1.1171   4400.85     0.11     755.41    -0.01
    19   1.1171   4400.83     0.09     755.48     0.06
    20   1.1389   3764.99    -0.07     773.44     0.04
    21   1.1389   3764.93    -0.13     773.44     0.05
    22   3.1949  18442.68     0.07    2157.92     0.04
    23   3.1949  18442.63     0.02    2157.90     0.01
    24   3.1949  18442.44    -0.09    2157.78    -0.11

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.

13TG172    quality flag:3

Type:           2:1E      2:1E      2:1E

axisobj        48.325    48.358    48.293
ecceobj         0.326     0.327     0.326
incobj          4.793     4.793     4.793
qmin           32.025    32.057    31.681
qmax           64.552    64.640    65.164
amean          47.795    47.795    47.795
amin           47.060    47.082    47.081
amax           48.685    48.611    48.686
emean           0.312     0.313     0.322
emin            0.295     0.295     0.304
emax            0.331     0.331     0.340
imean           4.322     4.911     4.978
imin            3.949     4.645     4.576
imax            5.181     5.199     5.299
excite_mean     0.321     0.324     0.334
fracstop        1.000     1.000     1.000
cjmean          3.017     3.014     3.006

libcent 0       180.3     179.5     179.5
libamp  0       153.6     154.1     153.2
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       180.9     177.9     165.5
kozaiamp        180.0     180.0     180.0