Orbit Fit and Astrometric record for 13TU227

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: 13TU227   
# Created Fri Dec  3 02:12:07 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     21 observations of     21
# Arc:   5.04y
# First observation: 2013/10/04
#  Last observation: 2018/10/19
# Chi-squared of fit:     7.92 DOF:     36 RMS:  0.11
# Min/Max residuals:    -0.20    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.586017E-05  2.852842E-02 -6.439792E-06 -1.020633E-02  2.761122E-02 -2.734199E-03
# Covariance matrix:
  3.1433E-13 -1.9408E-13 -3.1825E-14  4.6030E-14  7.0948E-14 -9.1941E-13
 -1.9408E-13  2.4225E-13  5.1235E-14 -7.8188E-14  3.7381E-14  1.5635E-12
 -3.1825E-14  5.1235E-14  2.1966E-13 -7.7897E-14  8.8575E-15  3.6957E-13
  4.6030E-14 -7.8188E-14 -7.7897E-14  5.3984E-14 -2.3859E-14 -5.6970E-13
  7.0948E-14  3.7381E-14  8.8575E-15 -2.3859E-14  3.9008E-13  4.8119E-13
 -9.1941E-13  1.5635E-12  3.6957E-13 -5.6970E-13  4.8119E-13  1.1394E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -6.551381    9.510921   -0.021725   -0.114004   -0.993604  2456569.658128
# Heliocentric elements and errors
Epoch:              2456570.5000  =  2013/10/05
Mean Anomaly:          332.95745 +/-     0.027
Argument of Peri:      236.32427 +/-     0.040
Long of Asc Node:      172.29683 +/-     0.000
Inclination:            20.64520 +/-     0.000
Eccentricity:         0.17109150 +/-    0.0001
Semi-Major Axis:     43.50359713 +/-    0.0050
Time of Perihelion: 2464443.3393 +/-      18.3
Perihelion:          36.06050140 +/-    0.0057
Aphelion:            50.94669286 +/-    0.0070
Period (y)              286.9432 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.46829422 +/-    0.0008
Ecliptic Y            6.13496992 +/-    0.0001
Ecliptic Z           -4.13242231 +/-    0.0001
Ecliptic XDOT        -0.00085311 +/-    0.0000
Ecliptic YDOT         0.00272496 +/-    0.0000
Ecliptic ZDOT        -0.00097435 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.21096041 +/-    0.0008
Geocenter to KBO     36.21725102 +/-    0.0008
# Hcoef:  7.78

The following table shows the complete astrometric record for 13TU227. 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 (13TU227) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.15735  00 45 14.816  -02 15 25.14  24.4g 13TU227   W84  C~52Re      
2013 10  13.16464  00 44 30.994  -02 20 48.99  23.2i 13TU227   W84  C~52Re      
2013 10  13.16777  00 44 30.981  -02 20 49.20  22.9z 13TU227   W84  C~52Re      
2013 10  29.05936  00 43 17.491  -02 29 15.05  23.8g 13TU227   W84  C~52Re      
2014 10  02.30094  00 52 22.200  -02 07 50.82  23.2r 13TU227   W84  C~52Re      
2014 11  13.12828  00 49 12.687  -02 29 14.98  23.4r 13TU227   W84  C~52Re      
2014 11  16.06138  00 49 02.265  -02 30 13.28  23.9r 13TU227   W84  C~52Re      
2014 11  16.06277  00 49 02.254  -02 30 13.34  23.5i 13TU227   W84  C~52Re      
2014 11  18.12122  00 48 55.295  -02 30 51.24  23.2z 13TU227   W84  C~52Re      
2016 08  25.40540  01 08 56.602  -01 31 20.48  23.0i 13TU227   W84  C~52Re      
2016 08  26.30488  01 08 53.866  -01 31 52.11  22.7r 13TU227   W84  C~52Re      
2016 08  26.30763  01 08 53.840  -01 31 52.31  23.5r 13TU227   W84  C~52Re      
2016 08  26.30899  01 08 53.834  -01 31 52.52  22.8i 13TU227   W84  C~52Re      
2016 10  23.16797  01 04 37.114  -02 07 30.84  23.4r 13TU227   W84  C~52Re      
2016 10  23.16935  01 04 37.130  -02 07 30.92  24.3g 13TU227   W84  C~52Re      
2016 10  29.22883  01 04 08.555  -02 10 35.36  23.3i 13TU227   W84  C~52Re      
2016 11  06.12744  01 03 33.352  -02 14 09.59  23.1z 13TU227   W84  C~52Re      
2017 08  27.40139  01 15 51.100  -01 25 42.07  23.3r 13TU227   W84  C~52Re      
2018 10  10.28295  01 19 49.869  -01 46 29.10  23.7r 13TU227   W84  C~52Re      
2018 10  10.28431  01 19 49.866  -01 46 29.15  23.5i 13TU227   W84  C~52Re      
2018 10  19.15622  01 19 05.706  -01 51 42.17  23.0z 13TU227   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     0.04       0.00     0.15
     2   0.0247      0.00    -0.08       0.00     0.01
     3   0.0247      0.00    -0.04       0.00    -0.10
     4   0.0682      0.00     0.09       0.00     0.18
     5   0.9942      0.00     0.14       0.00    -0.10
     6   1.1087      0.00    -0.11       0.00    -0.13
     7   1.1168      0.00    -0.02       0.00     0.06
     8   1.1168      0.00    -0.11       0.00     0.03
     9   1.1224      0.00     0.08       0.00     0.03
    10   2.8918      0.00    -0.11       0.00     0.10
    11   2.8943      0.00     0.21       0.00     0.11
    12   2.8943      0.00    -0.05       0.00     0.01
    13   2.8943      0.00    -0.07       0.00    -0.15
    14   3.0527      0.00    -0.13       0.00    -0.07
    15   3.0527      0.00     0.22       0.00    -0.11
    16   3.0693      0.00     0.02       0.00    -0.00
    17   3.0910      0.00    -0.01       0.00    -0.10
    18   3.8966      0.00     0.02       0.00    -0.20
    19   5.0161      0.00    -0.11       0.00     0.09
    20   5.0161      0.00    -0.05       0.00     0.09
    21   5.0404      0.00     0.16       0.00     0.16

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.

13TU227    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        43.745    43.745    43.745
ecceobj         0.174     0.174     0.174
incobj         20.585    20.585    20.585
qmin           35.284    35.209    35.267
qmax           52.086    52.078    52.045
amean          43.474    43.474    43.475
amin           43.091    43.107    43.105
amax           43.891    43.891    43.891
emean           0.169     0.169     0.169
emin            0.152     0.152     0.152
emax            0.187     0.187     0.187
imean          20.365    20.365    20.365
imin           19.689    19.699    19.692
imax           20.979    20.956    20.971
excite_mean     0.387     0.387     0.387
fracstop        1.000     1.000     1.000
cjmean          2.913     2.913     2.913

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       185.5     185.5     185.6
kozaiamp        179.9     180.0     179.9