Orbit Fit and Astrometric record for 13TQ228

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: 13TQ228   
# Created Sat Dec  4 02:12:11 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     10 observations of     10
# Arc:   5.12y
# First observation: 2013/10/13
#  Last observation: 2018/11/26
# Chi-squared of fit:     3.11 DOF:     14 RMS:  0.10
# Min/Max residuals:    -0.18    0.19
# Exact a, adot, b, bdot, g, gdot:
  1.605114E-05  2.683851E-02  1.903552E-06  2.514861E-03  2.614291E-02  3.615416E-03
# Covariance matrix:
  4.1316E-13 -2.7716E-13  5.8274E-15 -1.7599E-14  1.1730E-13 -1.5298E-12
 -2.7716E-13  6.7364E-13 -2.1206E-14  6.0897E-14 -1.3100E-13  5.2802E-12
  5.8274E-15 -2.1206E-14  3.4714E-13 -9.1568E-14  1.1406E-15 -1.7841E-13
 -1.7599E-14  6.0897E-14 -9.1568E-14  4.6634E-14 -9.3774E-15  5.0954E-13
  1.1730E-13 -1.3100E-13  1.1406E-15 -9.3774E-15  5.8092E-13 -8.4034E-13
 -1.5298E-12  5.2802E-12 -1.7841E-13  5.0954E-13 -8.4034E-13  4.4168E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.167971    3.798065   -0.271581   -0.019450   -0.959543  2456578.611408
# Heliocentric elements and errors
Epoch:              2456578.5000  =  2013/10/13
Mean Anomaly:           53.94082 +/-     0.028
Argument of Peri:      277.96590 +/-     0.032
Long of Asc Node:       16.15450 +/-     0.001
Inclination:             5.48399 +/-     0.000
Eccentricity:         0.15589057 +/-    0.0003
Semi-Major Axis:     42.32820505 +/-    0.0089
Time of Perihelion: 2441506.9389 +/-       9.1
Perihelion:          35.72963708 +/-    0.0140
Aphelion:            48.92677301 +/-    0.0156
Period (y)              275.3931 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           39.09845336 +/-    0.0011
Ecliptic Y            2.87084510 +/-    0.0001
Ecliptic Z           -0.77965460 +/-    0.0000
Ecliptic XDOT         0.00019073 +/-    0.0000
Ecliptic YDOT         0.00282851 +/-    0.0000
Ecliptic ZDOT         0.00025574 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.21137460 +/-    0.0011
Geocenter to KBO     38.25124378 +/-    0.0011
# Hcoef:  7.58

The following table shows the complete astrometric record for 13TQ228. 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 (13TQ228) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.11063  00 15 47.804  +00 26 16.26  23.6i 13TQ228   W84  C~52Rf      
2013 11  08.16530  00 14 02.963  +00 16 02.95  23.8r 13TQ228   W84  C~52Rf      
2013 11  08.16667  00 14 02.946  +00 16 02.76  23.1i 13TQ228   W84  C~52Rf      
2013 11  22.08554  00 13 24.201  +00 12 34.05  23.7r 13TQ228   W84  C~52Rf      
2016 08  14.25505  00 36 02.675  +03 03 50.13  22.5z 13TQ228   W84  C~52Rf      
2016 09  09.32469  00 34 27.019  +02 53 58.82  23.5i 13TQ228   W84  C~52Rf      
2016 09  09.32608  00 34 27.014  +02 53 58.57  23.8r 13TQ228   W84  C~52Rf      
2016 11  18.10069  00 29 28.879  +02 24 10.62  23.7r 13TQ228   W84  C~52Rf      
2018 10  10.23897  00 42 37.460  +04 05 25.21  23.2i 13TQ228   W84  C~52Rf      
2018 11  26.06693  00 39 35.313  +03 47 33.68  23.2r 13TQ228   W84  C~52Rf      

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     0.07       0.00    -0.06
     2   0.0713      0.00     0.03       0.00     0.07
     3   0.0713      0.00    -0.15       0.00    -0.10
     4   0.1094      0.00     0.14       0.00    -0.06
     5   2.8368      0.00    -0.06       0.00     0.10
     6   2.9082      0.00    -0.02       0.00     0.19
     7   2.9082      0.00    -0.00       0.00    -0.02
     8   3.0992      0.00    -0.09       0.00     0.10
     9   4.9915      0.00     0.02       0.00    -0.02
    10   5.1197      0.00     0.10       0.00    -0.18

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.

13TQ228    quality flag:3

Type:          5:3EE     5:3EE     5:3EE

axisobj        42.586    42.586    42.586
ecceobj         0.160     0.160     0.160
incobj          5.470     5.470     5.470
qmin           34.893    34.892    34.894
qmax           49.979    49.977    49.981
amean          42.328    42.328    42.328
amin           41.938    41.941    41.935
amax           42.774    42.774    42.773
emean           0.155     0.155     0.155
emin            0.137     0.137     0.137
emax            0.172     0.172     0.172
imean           5.614     5.614     5.614
imin            4.903     4.903     4.903
imax            6.391     6.392     6.389
excite_mean     0.184     0.184     0.184
fracstop        1.000     1.000     1.000
cjmean          3.042     3.042     3.042

libcent 0       181.1     181.2     180.8
libamp  0        61.6      61.1      61.7
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       181.3     181.3     181.2
kozaiamp        180.0     180.0     179.9