Orbit Fit and Astrometric record for 13TB187

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: 13TB187   
# Created Sat Nov 27 02:12:10 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     32 observations of     32
# Arc:   5.14y
# First observation: 2013/10/12
#  Last observation: 2018/12/01
# Chi-squared of fit:    20.58 DOF:     58 RMS:  0.14
# Min/Max residuals:    -0.40    0.39
# Exact a, adot, b, bdot, g, gdot:
  1.511141E-05  2.457340E-02  2.566743E-06  4.330696E-03  2.744470E-02 -2.443150E-02
# Covariance matrix:
  1.1783E-13 -5.2839E-14 -2.1497E-14 -6.9027E-15  3.8025E-14 -2.3660E-13
 -5.2839E-14  1.4217E-13 -2.9737E-14  4.3830E-14  2.9353E-14  1.1530E-12
 -2.1497E-14 -2.9737E-14  1.3836E-13 -3.7921E-14 -6.9946E-14 -2.8877E-13
 -6.9027E-15  4.3830E-14 -3.7921E-14  2.6745E-14  1.6143E-14  3.8972E-13
  3.8025E-14  2.9353E-14 -6.9946E-14  1.6143E-14  1.0691E-13  3.0068E-13
 -2.3660E-13  1.1530E-12 -2.8877E-13  3.8972E-13  3.0068E-13  1.0201E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -51.010722    6.322506   -0.215443   -0.757092   -0.613009  2456577.796108
# Heliocentric elements and errors
Epoch:              2456578.5000  =  2013/10/13
Mean Anomaly:          345.28962 +/-     0.009
Argument of Peri:       24.91614 +/-     0.003
Long of Asc Node:       82.12652 +/-     0.000
Inclination:            50.77851 +/-     0.000
Eccentricity:         0.78877589 +/-    0.0001
Semi-Major Axis:     77.42651304 +/-    0.0319
Time of Perihelion: 2466746.9437 +/-     147.8
Perihelion:          16.35434622 +/-    0.0102
Aphelion:           138.49867986 +/-    0.0576
Period (y)              681.3068 +/-      0.42
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           23.72977780 +/-    0.0003
Ecliptic Y            2.84902500 +/-    0.0000
Ecliptic Z          -28.32107787 +/-    0.0003
Ecliptic XDOT        -0.00146651 +/-    0.0000
Ecliptic YDOT         0.00230317 +/-    0.0000
Ecliptic ZDOT         0.00216635 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.05860654 +/-    0.0003
Geocenter to KBO     36.43746669 +/-    0.0004
# Hcoef:  7.65

The following table shows the complete astrometric record for 13TB187. 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 (13TB187) followed by the observatory code and reference code for the source of the astrometry.

2013 10  12.29533  02 03 11.443  -43 16 48.05  23.1g 13TB187   W84  C~4yRC      
2013 10  12.29533  02 03 11.45   -43 16 48.0   23.8g 13TB187   W84  C~3clP      
2013 10  28.15783  02 01 13.912  -43 21 05.50  23.3g 13TB187   W84  C~4yRC      
2013 10  28.16365  02 01 13.890  -43 21 05.48  23.2g 13TB187   W84  C~4yRC      
2014 01  01.14381  01 55 18.426  -42 38 09.23  23.4r 13TB187   W84  C~4yRC      
2014 01  01.14381  01 55 18.43   -42 38 09.2   23.4r 13TB187   W84  C~3clP      
2014 01  01.14520  01 55 18.422  -42 38 09.14  23.9i 13TB187   W84  C~4yRC      
2014 01  01.14658  01 55 18.409  -42 38 09.11  23.3i 13TB187   W84  C~4yRC      
2014 01  01.14658  01 55 18.41   -42 38 09.1   23.5i 13TB187   W84  C~3clP      
2014 01  02.10542  01 55 16.580  -42 36 55.10  23.8g 13TB187   W84  C~4yRC      
2014 01  02.10542  01 55 16.58   -42 36 55.1   24.0g 13TB187   W84  C~3clP      
2014 01  02.10818  01 55 16.571  -42 36 54.69  23.4r 13TB187   W84  C~4yRC      
2014 01  02.10818  01 55 16.57   -42 36 54.7   23.5r 13TB187   W84  C~3clP      
2014 01  23.07099  01 55 08.740  -42 07 35.59  24.2g 13TB187   W84  C~4yRC      
2014 01  23.07099  01 55 08.74   -42 07 35.6   24.1g 13TB187   W84  C~3clP      
2014 01  24.07681  01 55 09.959  -42 06 06.49  23.4r 13TB187   W84  C~4yRC      
2014 01  24.07819  01 55 09.932  -42 06 06.64  23.7i 13TB187   W84  C~4yRC      
2016 09  08.22189  02 24 16.222  -39 33 58.69  22.8r 13TB187   W84  C~4yRC      
2016 09  08.22189  02 24 16.22   -39 33 58.7   23.5r 13TB187   W84  C~3clP      
2016 09  08.22326  02 24 16.210  -39 33 58.76  22.8i 13TB187   W84  C~4yRC      
2016 09  08.22326  02 24 16.21   -39 33 58.8   22.9i 13TB187   W84  C~3clP      
2016 09  08.22462  02 24 16.209  -39 33 58.83  23.3g 13TB187   W84  C~4yRC      
2016 09  08.22462  02 24 16.21   -39 33 58.8   23.6g 13TB187   W84  C~3clP      
2016 12  21.15742  02 13 00.30   -39 42 00.3   23.2r 13TB187   W84  C~3clP      
2016 12  21.16431  02 13 00.269  -39 42 00.12  24.2g 13TB187   W84  C~4yRC      
2017 11  10.30015  02 23 18.275  -38 56 18.81  22.8z 13TB187   W84  C~4yRC      
2018 02  04.05201  02 18 03.801  -37 24 56.93  22.0i 13TB187   W84  C~4yRC      
2018 02  04.05338  02 18 03.777  -37 24 56.92  22.0r 13TB187   W84  C~4yRC      
2018 02  04.05475  02 18 03.812  -37 24 57.02  22.9g 13TB187   W84  C~4yRC      
2018 11  09.24119  02 29 41.024  -37 37 53.96  22.8i 13TB187   W84  C~4yRC      
2018 11  09.24255  02 29 40.990  -37 37 53.93  22.7r 13TB187   W84  C~4yRC      
2018 12  01.23514  02 26 58.308  -37 30 07.47  23.9g 13TB187   W84  C~4yRC      

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    -0.22       0.00    -0.12
     2   0.0000      0.00    -0.11       0.00    -0.07
     3   0.0434      0.00    -0.28       0.00     0.20
     4   0.0434      0.00     0.06       0.00     0.25
     5   0.2214      0.00     0.01       0.00     0.03
     6   0.2214      0.00     0.07       0.00     0.06
     7   0.2214      0.00    -0.00       0.00     0.01
     8   0.2214      0.00    -0.16       0.00    -0.07
     9   0.2214      0.00    -0.14       0.00    -0.06
    10   0.2240      0.00     0.08       0.00    -0.17
    11   0.2240      0.00     0.08       0.00    -0.17
    12   0.2240      0.00     0.01       0.00     0.02
    13   0.2240      0.00     0.02       0.00     0.03
    14   0.2814      0.00     0.01       0.00     0.09
    15   0.2814      0.00     0.01       0.00     0.10
    16   0.2841      0.00     0.39       0.00     0.09
    17   0.2841      0.00    -0.04       0.00    -0.18
    18   2.9074      0.00     0.10       0.00     0.06
    19   2.9074      0.00     0.13       0.00     0.07
    20   2.9074      0.00     0.04       0.00     0.06
    21   2.9074      0.00     0.04       0.00     0.10
    22   2.9074      0.00     0.13       0.00     0.15
    23   2.9074      0.00     0.11       0.00     0.12
    24   3.1920      0.00     0.09       0.00    -0.03
    25   3.1920      0.00     0.06       0.00    -0.32
    26   4.0794      0.00    -0.24       0.00     0.03
    27   4.3142      0.00     0.00       0.00     0.03
    28   4.3142      0.00    -0.40       0.00    -0.09
    29   4.3142      0.00     0.08       0.00    -0.33
    30   5.0758      0.00     0.23       0.00     0.09
    31   5.0758      0.00    -0.12       0.00     0.11
    32   5.1360      0.00     0.03       0.00     0.02

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.

13TB187    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        78.003    78.001    78.005
ecceobj         0.789     0.789     0.789
incobj         50.802    50.802    50.802
qmin           16.073    16.075    16.071
qmax          146.314   143.546   143.355
amean          77.246    76.867    76.982
amin           74.442    73.967    75.136
amax           81.993    80.522    80.233
emean           0.779     0.778     0.781
emin            0.768     0.766     0.768
emax            0.793     0.793     0.790
imean          50.230    50.174    50.014
imin           49.054    48.985    49.054
imax           51.275    51.175    50.953
excite_mean     1.094     1.093     1.094
fracstop        0.110     0.107     0.075
cjmean          1.686     1.686     1.682

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        18.9      22.4      22.7
kozaiamp          5.9       3.2       2.8