Orbit Fit and Astrometric record for 13TF228

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: 13TF228   
# Created Tue Dec  7 02:12:13 2021
# Orbit generated from Bernstein formalism
# Fitting     12 observations of     12
# Arc:   4.08y
# First observation: 2013/10/04
#  Last observation: 2017/11/01
Preliminary a, adot, b, bdot, g, gdot:
  -0.000039   0.025126   0.000013  -0.003716   0.025652   0.000000
# Chi-squared of fit:     9.11 DOF:     18 RMS:  0.15
# Min/Max residuals:    -0.27    0.30
# Exact a, adot, b, bdot, g, gdot:
  1.416156E-05  2.482195E-02 -2.025791E-06 -3.661458E-03  2.533836E-02 -2.170394E-03
# Covariance matrix:
  2.8201E-13 -1.4210E-13 -1.7543E-15  1.2689E-14  6.8293E-14 -8.9040E-13
 -1.4210E-13  1.2417E-12  4.0320E-14 -1.7463E-13  1.5920E-12  1.2600E-11
 -1.7543E-15  4.0320E-14  2.6476E-13 -8.4312E-14  5.7417E-14  4.1832E-13
  1.2689E-14 -1.7463E-13 -8.4312E-14  6.9470E-14 -1.9766E-13 -1.8859E-12
  6.8293E-14  1.5920E-12  5.7417E-14 -1.9766E-13  3.6453E-12  1.4515E-11
 -8.9040E-13  1.2600E-11  4.1832E-13 -1.8859E-12  1.4515E-11  1.3571E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
  -20.370984   34.971453    0.408674   -0.317718   -0.855971  2456569.761268
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:          282.23321 +/-     0.092
Argument of Peri:      336.71100 +/-     0.094
Long of Asc Node:      148.29726 +/-     0.001
Inclination:            21.62606 +/-     0.000
Eccentricity:         0.09982108 +/-    0.0005
Semi-Major Axis:     40.79314435 +/-    0.0118
Time of Perihelion: 2477118.0277 +/-      22.7
Perihelion:          36.72112859 +/-    0.0221
Aphelion:            44.86516011 +/-    0.0233
Period (y)              260.5487 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           31.29885026 +/-    0.0023
Ecliptic Y           21.39716440 +/-    0.0016
Ecliptic Z          -13.73806502 +/-    0.0010
Ecliptic XDOT        -0.00183644 +/-    0.0000
Ecliptic YDOT         0.00199146 +/-    0.0000
Ecliptic ZDOT        -0.00028911 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.32605984 +/-    0.0020
Geocenter to KBO     39.46584748 +/-    0.0030
# Hcoef:  7.55

The following table shows the complete astrometric record for 13TF228. 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 (13TF228) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.26049  02 37 40.814  -06 03 50.32  24.6g 13TF228   W84  C~52Rf      
2013 10  04.27024  02 37 40.749  -06 03 50.76  23.5r 13TF228   W84  C~52Rf      
2013 10  04.27163  02 37 40.760  -06 03 50.89  23.2i 13TF228   W84  C~52Rf      
2013 10  11.24554  02 37 11.380  -06 07 55.27  23.5r 13TF228   W84  C~52Rf      
2013 10  11.25080  02 37 11.368  -06 07 55.23  23.2i 13TF228   W84  C~52Rf      
2014 10  28.27279  02 41 36.081  -06 00 23.82  23.6r 13TF228   W84  C~52Rf      
2016 09  24.31164  02 55 22.989  -05 08 35.58  23.6r 13TF228   W84  C~52Rf      
2016 11  03.19992  02 52 32.430  -05 30 11.45  24.0r 13TF228   W84  C~52Rf      
2016 11  10.28263  02 51 57.570  -05 32 47.19  23.3i 13TF228   W84  C~52Rf      
2016 11  29.20960  02 50 27.572  -05 37 04.91  23.6r 13TF228   W84  C~52Rf      
2017 10  29.31585  02 58 42.925  -05 11 06.47  23.0i 13TF228   W84  C~52Rf      
2017 11  01.21074  02 58 28.841  -05 12 22.59  22.7z 13TF228   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     0.27       0.00    -0.05
     2   0.0000     -1.06    -0.10      -0.10    -0.02
     3   0.0000     -0.95     0.10      -0.27    -0.17
     4   0.0191   -495.04    -0.26     -87.57     0.15
     5   0.0191   -495.20    -0.03     -87.47     0.30
     6   1.0651   3382.71     0.08    -958.40    -0.27
     7   2.9734  16091.73    -0.03   -2132.56     0.11
     8   3.0827  13243.27    -0.14   -2501.73    -0.24
     9   3.1020  12698.47    -0.09   -2474.52    -0.05
    10   3.1539  11341.11     0.11   -2268.66     0.15
    11   4.0686  18875.52     0.16   -3282.93     0.00
    12   4.0765  18649.90    -0.08   -3283.72     0.08

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.

13TF228    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.965    40.997    40.933
ecceobj         0.097     0.097     0.096
incobj         21.594    21.594    21.594
qmin           36.028    36.023    36.056
qmax           45.681    45.657    45.558
amean          40.698    40.698    40.698
amin           40.356    40.363    40.340
amax           41.050    41.035    41.074
emean           0.090     0.090     0.100
emin            0.066     0.066     0.088
emax            0.113     0.113     0.110
imean          20.790    20.779    20.701
imin           20.103    20.100    20.087
imax           21.539    21.521    21.378
excite_mean     0.366     0.366     0.367
fracstop        1.000     1.000     1.000
cjmean          2.905     2.906     2.905

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       173.8     174.3     180.4
kozaiamp        180.0     180.0     180.0