Orbit Fit and Astrometric record for 13TQ227

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: 13TQ227   
# Created Tue Apr  1 01:09:47 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     18 observations of     18
# Arc:   5.15y
# First observation: 2013/10/03
#  Last observation: 2018/11/28
# Chi-squared of fit:    12.25 DOF:     30 RMS:  0.15
# Min/Max residuals:    -0.35    0.28
# Exact a, adot, b, bdot, g, gdot:
  1.498239E-05  2.572209E-02  1.614040E-06  1.199776E-03  2.527033E-02  3.024703E-03
# Covariance matrix:
  5.1267E-13 -3.5141E-13  1.2755E-14 -1.3645E-14 -1.5564E-13 -1.9914E-12
 -3.5141E-13  4.8772E-13 -2.4724E-14  2.2815E-14  4.6886E-13  3.4187E-12
  1.2755E-14 -2.4724E-14  3.1011E-13 -8.1423E-14 -3.0357E-14 -1.8523E-13
 -1.3645E-14  2.2815E-14 -8.1423E-14  2.9633E-14  2.2821E-14  1.6975E-13
 -1.5564E-13  4.6886E-13 -3.0357E-14  2.2821E-14  8.1442E-13  3.5671E-12
 -1.9914E-12  3.4187E-12 -1.8523E-13  1.6975E-13  3.5671E-12  2.5469E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -10.229399   23.577746    0.239089   -0.172464   -0.956275  2456568.642258
# Heliocentric elements and errors
Epoch:              2456568.5000  =  2013/10/03
Mean Anomaly:           47.01245 +/-     0.037
Argument of Peri:      224.50583 +/-     0.060
Long of Asc Node:       98.77415 +/-     0.002
Inclination:            10.30504 +/-     0.000
Eccentricity:         0.13546878 +/-    0.0002
Semi-Major Axis:     44.10665103 +/-    0.0045
Time of Perihelion: 2442596.2968 +/-      11.1
Perihelion:          38.13157666 +/-    0.0083
Aphelion:            50.08172540 +/-    0.0089
Period (y)              292.9303 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.67760431 +/-    0.0013
Ecliptic Y           15.74950001 +/-    0.0006
Ecliptic Z           -7.02755694 +/-    0.0003
Ecliptic XDOT        -0.00080414 +/-    0.0000
Ecliptic YDOT         0.00269102 +/-    0.0000
Ecliptic ZDOT         0.00006986 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.52991880 +/-    0.0012
Geocenter to KBO     39.57205692 +/-    0.0014
# Hcoef:  7.39

The following table shows the complete astrometric record for 13TQ227. 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 (13TQ227) followed by the observatory code and reference code for the source of the astrometry.

2013 10  03.14148  01 42 19.688  -00 21 51.10  23.7g 13TQ227   W84  C~52Re      
2013 10  04.20181  01 42 14.913  -00 22 21.81  23.7g 13TQ227   W84  C~52Re      
2014 10  02.28380  01 47 46.925  +00 14 37.19  22.9i 13TQ227   W84  C~52Re      
2014 10  29.25559  01 45 42.028  +00 02 39.38  22.6i 13TQ227   W84  C~52Re      
2014 12  12.05597  01 42 53.431  -00 06 27.42  23.5r 13TQ227   W84  C~52Re      
2015 08  24.37263  01 55 14.943  +01 08 05.52  23.0i 13TQ227   W84  C~52Re      
2015 11  06.19886  01 50 26.926  +00 35 36.16  22.9i 13TQ227   W84  C~52Re      
2015 11  06.20022  01 50 26.945  +00 35 36.26  23.7r 13TQ227   W84  C~52Re      
2016 10  28.17838  01 56 23.789  +01 14 04.30  23.9r 13TQ227   W84  C~52Re      
2016 11  28.10313  01 54 10.158  +01 05 19.68  23.3i 13TQ227   W84  C~52Re      
2016 11  28.10451  01 54 10.140  +01 05 19.55  24.4r 13TQ227   W84  C~52Re      
2016 11  28.10589  01 54 10.146  +01 05 19.54  24.3g 13TQ227   W84  C~52Re      
2017 10  30.22528  02 01 31.950  +01 48 36.34  23.0z 13TQ227   W84  C~52Re      
2018 09  09.35165  02 10 17.220  +02 45 57.57  23.5r 13TQ227   W84  C~52Re      
2018 09  09.35304  02 10 17.218  +02 45 57.48  23.3i 13TQ227   W84  C~52Re      
2018 09  14.36371  02 10 02.082  +02 43 48.23  23.6r 13TQ227   W84  C~52Re      
2018 09  14.36648  02 10 02.078  +02 43 47.88  23.8g 13TQ227   W84  C~52Re      
2018 11  28.04184  02 04 41.342  +02 15 21.04  23.5r 13TQ227   W84  C~52Re      

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     0.28       0.00    -0.08
     2   0.0029      0.00    -0.13       0.00     0.12
     3   0.9970      0.00     0.21       0.00    -0.10
     4   1.0708      0.00    -0.12       0.00    -0.02
     5   1.1907      0.00    -0.28       0.00     0.19
     6   1.8897      0.00     0.13       0.00    -0.35
     7   2.0919      0.00    -0.25       0.00    -0.01
     8   2.0919      0.00     0.13       0.00     0.11
     9   3.0692      0.00    -0.01       0.00    -0.15
    10   3.1539      0.00     0.08       0.00     0.19
    11   3.1539      0.00    -0.12       0.00     0.07
    12   3.1539      0.00     0.05       0.00     0.08
    13   4.0742      0.00     0.07       0.00     0.09
    14   4.9342      0.00    -0.04       0.00     0.08
    15   4.9342      0.00    -0.01       0.00     0.02
    16   4.9479      0.00    -0.07       0.00     0.01
    17   4.9479      0.00     0.01       0.00    -0.27
    18   5.1524      0.00     0.16       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.

13TQ227    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        44.390    44.390    44.390
ecceobj         0.141     0.141     0.141
incobj         10.310    10.310    10.310
qmin           37.343    37.351    37.343
qmax           51.189    51.192    51.165
amean          44.073    44.073    44.073
amin           43.699    43.713    43.705
amax           44.478    44.478    44.477
emean           0.132     0.132     0.132
emin            0.114     0.114     0.114
emax            0.151     0.151     0.151
imean           8.358     8.358     8.358
imin            7.515     7.513     7.516
imax            9.184     9.186     9.181
excite_mean     0.196     0.196     0.196
fracstop        1.000     1.000     1.000
cjmean          3.056     3.056     3.056

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       184.1     184.1     184.1
kozaiamp        180.0     180.0     180.0