Orbit Fit and Astrometric record for 13TP145

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: 13TP145   
# Created Thu Dec  9 02:11:59 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     22 observations of     22
# Arc:  11.10y
# First observation: 2009/10/10
#  Last observation: 2020/11/14
# Chi-squared of fit:    79.84 DOF:     38 RMS:  0.34
# Min/Max residuals:    -0.99    0.62
# Exact a, adot, b, bdot, g, gdot:
  2.336453E-05  1.006784E-01  1.341680E-05  5.714709E-02  6.696284E-02 -3.842548E-02
# Covariance matrix:
  1.7816E-13 -5.5443E-14  3.2855E-14 -2.2467E-14 -4.3942E-14  3.6618E-15
 -5.5443E-14  2.9982E-14 -2.1064E-14  1.4637E-14  3.3266E-14 -2.6034E-15
  3.2855E-14 -2.1064E-14  1.3807E-13 -2.9595E-14 -1.6404E-14  1.6584E-15
 -2.2467E-14  1.4637E-14 -2.9595E-14  1.3442E-14  1.7385E-14 -1.4260E-15
 -4.3942E-14  3.3266E-14 -1.6404E-14  1.7385E-14  1.5680E-13 -8.6001E-15
  3.6618E-15 -2.6034E-15  1.6584E-15 -1.4260E-15 -8.6001E-15  5.0531E-16
#      lat0       lon0       xBary       yBary       zBary        JD0
    5.106861  -26.518754   -0.686919    0.064217   -0.718755  2455114.641237
# Heliocentric elements and errors
Epoch:              2455114.5000  =  2009/10/10
Mean Anomaly:          335.51794 +/-     0.003
Argument of Peri:       68.62798 +/-     0.000
Long of Asc Node:      327.25327 +/-     0.000
Inclination:            29.24835 +/-     0.000
Eccentricity:         0.41549516 +/-    0.0017
Semi-Major Axis:     23.03940200 +/-    0.0000
Time of Perihelion: 2457861.4497 +/-       0.3
Perihelion:          13.46664208 +/-    0.0385
Aphelion:            32.61216191 +/-    0.0385
Period (y)              110.5898 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           14.26542516 +/-    0.0001
Ecliptic Y           -6.35186529 +/-    0.0001
Ecliptic Z            1.32951656 +/-    0.0001
Ecliptic XDOT         0.00025530 +/-    0.0000
Ecliptic YDOT         0.00447990 +/-    0.0000
Ecliptic ZDOT         0.00218732 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   15.67226554 +/-    0.0001
Geocenter to KBO     14.93383246 +/-    0.0001
# Hcoef:  9.42

The following table shows the complete astrometric record for 13TP145. 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 (13TP145) followed by the observatory code and reference code for the source of the astrometry.

2009 10  10.140471 22 14 11.44   -05 27 52.5   21.1r 13TP145   645  C~3xqn      
2009 10  10.141300 22 14 11.43   -05 27 52.5   20.8i 13TP145   645  C~3xqn      
2009 10  10.143788 22 14 11.41   -05 27 52.7   21.7g 13TP145   645  C~3xqn      
2009 10  15.120122 22 13 36.47   -05 29 42.9   21.5r 13TP145   645  C~3xqn      
2009 10  15.120951 22 13 36.47   -05 29 43.0   20.9i 13TP145   645  C~3xqn      
2009 10  15.123439 22 13 36.44   -05 29 43.0   21.9g 13TP145   645  C~3xqn      
2010 09  15.29609  22 35 59.64   +00 09 39.5   21.0V 13TP145   G96  C~3xqn      
2010 09  15.30460  22 35 59.56   +00 09 39.6   20.8V 13TP145   G96  C~3xqn      
2010 09  15.31306  22 35 59.49   +00 09 39.2   20.9V 13TP145   G96  C~3xqn      
2010 09  15.32156  22 35 59.38   +00 09 39.0   20.8V 13TP145   G96  C~3xqn      
2013 10  08.02964  23 33 27.781  +18 05 08.80  20.7R 13TP145   809  C~0wdY      
2013 10  08.03221  23 33 27.708  +18 05 07.54  21.1R 13TP145   809  C~0wdY      
2013 10  08.10051  23 33 26.858  +18 05 04.16  20.8R 13TP145   809  C~0wdY      
2013 10  08.10307  23 33 26.865  +18 05 02.97  20.9R 13TP145   809  C~0wdY      
2013 10  08.16743  23 33 26.052  +18 04 59.62  20.9R 13TP145   809  C~0wdY      
2013 10  08.16999  23 33 26.023  +18 04 58.80  21.2R 13TP145   809  C~0wdY      
2013 10  29.00791  23 29 45.962  +17 39 42.73  20.8R 13TP145   809  C~0wdY      
2013 10  29.06256  23 29 45.534  +17 39 38.66  20.7R 13TP145   809  C~0wdY      
2013 10  29.06512  23 29 45.495  +17 39 38.80  20.3R 13TP145   809  C~0wdY      
2013 10  29.12050  23 29 45.010  +17 39 34.23  20.9R 13TP145   809  C~0wdY      
2020 11  14.382760 03 58 13.643  +52 06 53.13  20.9G 13TP145   G37  C~4Nkp      
2020 11  14.443650 03 58 12.421  +52 06 52.10        13TP145   G37  C~4Nkp      

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     0.07       0.00     0.05
     2   0.0000      0.00     0.02       0.00     0.07
     3   0.0000      0.00     0.01       0.00    -0.07
     4   0.0136      0.00    -0.09       0.00    -0.00
     5   0.0136      0.00    -0.01       0.00    -0.08
     6   0.0136      0.00    -0.21       0.00    -0.03
     7   0.9313      0.00    -0.62       0.00    -0.18
     8   0.9313      0.00    -0.30       0.00     0.29
     9   0.9313      0.00     0.17       0.00     0.25
    10   0.9314      0.00     0.04       0.00     0.41
    11   3.9942      0.00     0.22       0.00     0.10
    12   3.9942      0.00    -0.40       0.00    -0.99
    13   3.9944      0.00    -0.38       0.00     0.14
    14   3.9944      0.00     0.20       0.00    -0.88
    15   3.9946      0.00     0.05       0.00     0.06
    16   3.9946      0.00     0.10       0.00    -0.59
    17   4.0517      0.00    -0.19       0.00     0.22
    18   4.0518      0.00     0.62       0.00     0.27
    19   4.0518      0.00     0.37       0.00     0.60
    20   4.0520      0.00     0.42       0.00     0.23
    21  11.0972      0.00     0.01       0.00     0.32
    22  11.0973      0.00    -0.09       0.00     0.19

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.

13TP145    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        22.927    22.926    22.927
ecceobj         0.415     0.415     0.415
incobj         29.266    29.266    29.266
qmin           13.259    13.259    12.955
qmax           32.706    32.658    32.586
amean          22.875    22.894    22.559
amin           22.702    22.695    22.255
amax           23.267    23.246    23.098
emean           0.409     0.408     0.408
emin            0.397     0.397     0.382
emax            0.417     0.417     0.423
imean          30.822    30.844    30.742
imin           30.496    30.496    29.925
imax           31.314    31.303    32.277
excite_mean     0.655     0.655     0.654
fracstop        0.004     0.005     0.017
cjmean          2.677     2.676     2.691

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        78.5      79.1     112.5
kozaiamp          9.0       9.6      45.9