Orbit Fit and Astrometric record for 13TP228

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: 13TP228   
# Created Sun Nov 24 02:09:41 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     23 observations of     23
# Arc:   6.06y
# First observation: 2013/10/13
#  Last observation: 2019/11/05
# Chi-squared of fit:     6.17 DOF:     40 RMS:  0.09
# Min/Max residuals:    -0.26    0.27
# Exact a, adot, b, bdot, g, gdot:
  1.379595E-05  1.996258E-02 -1.401363E-07 -1.087164E-03  2.199261E-02  6.605109E-04
# Covariance matrix:
  3.2256E-13 -1.6697E-13 -5.0845E-15  6.4318E-15  8.6694E-14 -1.0476E-12
 -1.6697E-13  1.8040E-13  7.1842E-15 -9.3611E-15 -7.0001E-14  1.5264E-12
 -5.0845E-15  7.1842E-15  2.4266E-13 -5.5322E-14 -4.8922E-15  6.7140E-14
  6.4318E-15 -9.3611E-15 -5.5322E-14  1.7458E-14  4.1780E-15 -8.7411E-14
  8.6694E-14 -7.0001E-14 -4.8922E-15  4.1780E-15  4.6957E-13 -6.6841E-13
 -1.0476E-12  1.5264E-12  6.7140E-14 -8.7411E-14 -6.6841E-13  1.4252E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.251576    0.516185   -0.325887   -0.020479   -0.942465  2456578.599688
# Heliocentric elements and errors
Epoch:              2456578.5000  =  2013/10/13
Mean Anomaly:          125.14389 +/-     0.226
Argument of Peri:       72.09741 +/-     0.216
Long of Asc Node:      159.43595 +/-     0.003
Inclination:             3.34437 +/-     0.000
Eccentricity:         0.04725438 +/-    0.0001
Semi-Major Axis:     45.12096653 +/-    0.0063
Time of Perihelion: 2418095.1243 +/-      70.0
Perihelion:          42.98880301 +/-    0.0080
Aphelion:            47.25313005 +/-    0.0085
Period (y)              303.0929 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           46.39633287 +/-    0.0014
Ecliptic Y            0.74696177 +/-    0.0000
Ecliptic Z           -0.99320599 +/-    0.0000
Ecliptic XDOT         0.00005069 +/-    0.0000
Ecliptic YDOT         0.00248430 +/-    0.0000
Ecliptic ZDOT        -0.00013696 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   46.41294905 +/-    0.0014
Geocenter to KBO     45.46983388 +/-    0.0014
# Hcoef:  6.70

The following table shows the complete astrometric record for 13TP228. 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 (13TP228) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.09891  00 03 53.150  -00 56 34.71  22.6z 13TP228   W84  C~52Rf      
2013 10  13.12596  00 03 53.028  -00 56 35.28  22.9i 13TP228   W84  C~52Rf      
2013 11  22.06122  00 01 56.992  -01 08 49.37  23.5r 13TP228   W84  C~52Rf      
2013 11  22.08831  00 01 56.941  -01 08 49.69  23.1i 13TP228   W84  C~52Rf      
2013 11  23.09553  00 01 55.264  -01 08 59.78  23.7i 13TP228   W84  C~52Rf      
2016 09  10.32821  00 18 53.230  +00 29 08.56  23.5i 13TP228   W84  C~52Rf      
2016 09  10.32957  00 18 53.227  +00 29 08.68  23.2r 13TP228   W84  C~52Rf      
2016 09  10.33095  00 18 53.212  +00 29 08.51  24.2g 13TP228   W84  C~52Rf      
2016 09  11.16744  00 18 50.008  +00 28 46.70  23.0z 13TP228   W84  C~52Rf      
2016 11  18.06482  00 14 47.995  +00 02 37.89  23.2i 13TP228   W84  C~52Rf      
2016 11  18.06619  00 14 47.980  +00 02 38.02  23.0r 13TP228   W84  C~52Rf      
2017 09  27.24362  00 22 02.894  +00 45 25.83  23.2i 13TP228   W84  C~52Rf      
2017 09  27.24501  00 22 02.891  +00 45 25.70  23.2r 13TP228   W84  C~52Rf      
2017 09  27.24640  00 22 02.867  +00 45 25.68  24.5g 13TP228   W84  C~52Rf      
2017 10  22.18159  00 20 24.689  +00 34 45.54  23.5r 13TP228   W84  C~52Rf      
2017 10  22.18295  00 20 24.682  +00 34 45.77  23.6i 13TP228   W84  C~52Rf      
2017 10  27.16579  00 20 06.853  +00 32 52.27  22.4z 13TP228   W84  C~52Rf      
2017 10  29.14258  00 20 00.079  +00 32 09.05  22.8z 13TP228   W84  C~52Rf      
2017 11  09.06013  00 19 25.807  +00 28 34.91  23.6r 13TP228   W84  C~52Rf      
2019 11  05.30343  00 28 08.09   +01 17 03.3   23.0y 13TP228   T09  C~85E1      
2019 11  05.30610  00 28 08.08   +01 17 03.3   22.6y 13TP228   T09  C~85E1      
2019 11  05.34702  00 28 07.95   +01 17 02.4   23.2y 13TP228   T09  C~85E1      
2019 11  05.36065  00 28 07.91   +01 17 02.2   23.0y 13TP228   T09  C~85E1      

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     0.16       0.00    -0.08
     2   0.0001      0.00    -0.10       0.00     0.02
     3   0.1094      0.00    -0.02       0.00     0.13
     4   0.1095      0.00    -0.07       0.00     0.09
     5   0.1122      0.00     0.00       0.00    -0.03
     6   2.9110      0.00     0.04       0.00    -0.11
     7   2.9110      0.00     0.07       0.00     0.05
     8   2.9110      0.00    -0.07       0.00    -0.08
     9   2.9133      0.00     0.02       0.00    -0.02
    10   3.0992      0.00     0.09       0.00    -0.03
    11   3.0992      0.00    -0.09       0.00     0.12
    12   3.9566      0.00     0.08       0.00     0.10
    13   3.9566      0.00     0.12       0.00     0.00
    14   3.9566      0.00    -0.16       0.00     0.02
    15   4.0249      0.00     0.01       0.00    -0.26
    16   4.0249      0.00    -0.02       0.00     0.01
    17   4.0385      0.00    -0.09       0.00     0.06
    18   4.0439      0.00     0.27       0.00    -0.10
    19   4.0738      0.00    -0.04       0.00    -0.02
    20   6.0622      0.00    -0.05       0.00     0.03
    21   6.0622      0.00    -0.07       0.00     0.09
    22   6.0623      0.00    -0.01       0.00    -0.00
    23   6.0623      0.00     0.06       0.00     0.07

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.

13TP228    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        45.380    45.400    45.360
ecceobj         0.045     0.045     0.044
incobj          3.334     3.335     3.334
qmin           42.393    42.416    42.392
qmax           48.137    48.201    48.131
amean          45.178    45.198    45.165
amin           44.816    44.842    44.809
amax           45.542    45.568    45.520
emean           0.044     0.045     0.044
emin            0.031     0.031     0.031
emax            0.057     0.058     0.057
imean           3.102     3.101     3.102
imin            2.641     2.640     2.635
imax            3.523     3.519     3.516
excite_mean     0.070     0.070     0.070
fracstop        1.000     1.000     1.000
cjmean          3.110     3.110     3.110

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       176.7     176.3     176.8
kozaiamp        180.0     180.0     180.0