Orbit Fit and Astrometric record for 13TC228

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: 13TC228   
# Created Sat Dec  4 02:12:10 2021
# Orbit generated from Bernstein formalism
# Fitting     11 observations of     11
# Arc:   4.93y
# First observation: 2013/10/04
#  Last observation: 2018/09/09
Preliminary a, adot, b, bdot, g, gdot:
  -0.000015   0.020663   0.000056  -0.007170   0.023962   0.000000
# Chi-squared of fit:     7.78 DOF:     16 RMS:  0.15
# Min/Max residuals:    -0.29    0.28
# Exact a, adot, b, bdot, g, gdot:
  1.325857E-05  2.038209E-02 -5.805554E-06 -7.055672E-03  2.307456E-02 -3.013019E-03
# Covariance matrix:
  4.5246E-13 -1.9387E-13 -1.0019E-14  2.7485E-14  1.1038E-13 -8.7704E-13
 -1.9387E-13  5.8853E-13  5.6570E-14 -1.9562E-13  7.0088E-13  6.2663E-12
 -1.0019E-14  5.6570E-14  4.0609E-13 -1.2425E-13  6.7765E-14  6.4364E-13
  2.7485E-14 -1.9562E-13 -1.2425E-13  1.1071E-13 -2.7726E-13 -2.2541E-12
  1.1038E-13  7.0088E-13  6.7765E-14 -2.7726E-13  2.2454E-12  8.9016E-12
 -8.7704E-13  6.2663E-12  6.4364E-13 -2.2541E-12  8.9016E-12  7.2217E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -4.971510    0.626632   -0.177100   -0.085209   -0.980840  2456569.727038
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:          277.79865 +/-     0.119
Argument of Peri:      292.55328 +/-     0.078
Long of Asc Node:      167.08335 +/-     0.000
Inclination:            19.65459 +/-     0.001
Eccentricity:         0.13756917 +/-    0.0004
Semi-Major Axis:     44.31304311 +/-    0.0128
Time of Perihelion: 2481162.6019 +/-      34.1
Perihelion:          38.21693451 +/-    0.0204
Aphelion:            50.40915170 +/-    0.0225
Period (y)              294.9888 +/-      0.13
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           44.15422334 +/-    0.0028
Ecliptic Y            0.66305525 +/-    0.0000
Ecliptic Z           -3.75594967 +/-    0.0002
Ecliptic XDOT        -0.00046130 +/-    0.0000
Ecliptic YDOT         0.00241218 +/-    0.0000
Ecliptic ZDOT        -0.00080290 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.31864438 +/-    0.0028
Geocenter to KBO     43.33777591 +/-    0.0028
# Hcoef:  7.22

The following table shows the complete astrometric record for 13TC228. 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 (13TC228) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.22626  00 10 13.416  -04 18 40.68  23.7r 13TC228   W84  C~52Rf      
2013 10  04.22766  00 10 13.412  -04 18 40.95  23.1i 13TC228   W84  C~52Rf      
2013 10  13.13618  00 09 37.146  -04 22 56.80  23.3z 13TC228   W84  C~52Rf      
2014 11  13.11680  00 12 49.100  -04 28 25.03  24.2i 13TC228   W84  C~52Rf      
2016 09  05.24232  00 27 07.242  -03 45 44.06  23.5r 13TC228   W84  C~52Rf      
2016 11  26.12792  00 22 11.434  -04 19 27.24  24.4r 13TC228   W84  C~52Rf      
2017 09  24.30386  00 30 53.279  -03 49 42.72  22.7i 13TC228   W84  C~52Rf      
2017 09  26.29753  00 30 44.838  -03 50 46.89  23.8r 13TC228   W84  C~52Rf      
2017 09  26.30165  00 30 44.838  -03 50 46.97  22.7i 13TC228   W84  C~52Rf      
2017 10  17.23932  00 29 16.827  -04 01 12.99  23.4r 13TC228   W84  C~52Rf      
2018 09  09.34532  00 36 58.753  -03 35 03.07  23.5r 13TC228   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     0.15       0.00     0.20
     2   0.0000     -0.16     0.08      -0.22    -0.02
     3   0.0244   -599.62    -0.15     -18.53     0.04
     4   1.1085   1901.52    -0.00   -1465.49    -0.18
     5   2.9213  14714.67    -0.29   -4285.19    -0.09
     6   3.1455   9830.12    -0.14   -4349.81    -0.16
     7   3.9728  17733.72     0.28   -5879.72     0.00
     8   3.9783  17591.14    -0.03   -5887.12    -0.04
     9   3.9783  17591.11     0.24   -5887.20    -0.10
    10   4.0356  16123.09    -0.02   -5925.31     0.24
    11   4.9312  23149.00    -0.12   -7310.98     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.

13TC228    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        44.538    44.574    44.503
ecceobj         0.136     0.137     0.135
incobj         19.589    19.589    19.590
qmin           37.636    37.647    37.670
qmax           51.371    51.404    51.263
amean          44.332    44.363    44.299
amin           43.956    44.000    43.931
amax           44.732    44.770    44.723
emean           0.134     0.134     0.132
emin            0.121     0.120     0.118
emax            0.149     0.148     0.147
imean          19.211    19.202    19.237
imin           18.752    18.738    18.789
imax           19.668    19.660    19.700
excite_mean     0.355     0.355     0.355
fracstop        1.000     1.000     1.000
cjmean          2.950     2.950     2.950

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       175.8     176.1     175.8
kozaiamp        179.9     180.0     180.0