Orbit Fit and Astrometric record for 13TG187

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: 13TG187   
# Created Fri Dec  3 02:12:04 2021
# Orbit generated from Bernstein formalism
# Fitting     23 observations of     23
# Arc:   4.93y
# First observation: 2013/10/13
#  Last observation: 2018/09/17
Preliminary a, adot, b, bdot, g, gdot:
   0.000196   0.027985  -0.000012  -0.002616   0.026416   0.000000
# Chi-squared of fit:     7.68 DOF:     40 RMS:  0.10
# Min/Max residuals:    -0.36    0.31
# Exact a, adot, b, bdot, g, gdot:
  1.629115E-05  2.855141E-02 -1.148467E-06 -2.667023E-03  2.646896E-02  4.914198E-03
# Covariance matrix:
  1.8384E-13 -1.1192E-13 -3.7211E-15  6.1500E-15  7.1139E-14 -5.7630E-13
 -1.1192E-13  2.2261E-13  6.9502E-15 -1.8213E-14  8.2992E-14  1.7357E-12
 -3.7211E-15  6.9502E-15  1.3306E-13 -4.6262E-14 -1.6610E-15  6.1806E-14
  6.1500E-15 -1.8213E-14 -4.6262E-14  3.2655E-14 -8.4186E-15 -1.6505E-13
  7.1139E-14  8.2992E-14 -1.6610E-15 -8.4186E-15  3.9000E-13  8.3692E-13
 -5.7630E-13  1.7357E-12  6.1806E-14 -1.6505E-13  8.3692E-13  1.5737E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.711314    3.551337   -0.276084   -0.045223   -0.957382  2456578.633748
# Heliocentric elements and errors
Epoch:              2456570.5000  =  2013/10/05
Mean Anomaly:           33.08742 +/-     0.012
Argument of Peri:      152.53898 +/-     0.024
Long of Asc Node:      157.69608 +/-     0.002
Inclination:             5.95748 +/-     0.000
Eccentricity:         0.25109341 +/-    0.0001
Semi-Major Axis:     47.46845894 +/-    0.0065
Time of Perihelion: 2445591.4064 +/-       3.4
Perihelion:          35.54944158 +/-    0.0083
Aphelion:            59.38747629 +/-    0.0106
Period (y)              327.0513 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           38.60431136 +/-    0.0009
Ecliptic Y            2.67555182 +/-    0.0001
Ecliptic Z           -1.78721531 +/-    0.0000
Ecliptic XDOT         0.00030464 +/-    0.0000
Ecliptic YDOT         0.00297678 +/-    0.0000
Ecliptic ZDOT        -0.00029946 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.73816686 +/-    0.0009
Geocenter to KBO     37.78010075 +/-    0.0009
# Hcoef:  7.39

The following table shows the complete astrometric record for 13TG187. 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 (13TG187) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.13297  00 17 20.533  -01 04 35.62  22.2i 13TG187   W84  C~4yRC      
2013 10  13.13297  00 17 20.53   -01 04 35.6   22.8i 13TG187   W84  C~3clQ      
2013 11  22.09111  00 14 59.194  -01 19 03.48  23.4r 13TG187   W84  C~4yRC      
2013 11  22.09111  00 14 59.20   -01 19 03.5   23.4r 13TG187   W84  C~3clQ      
2013 11  22.09392  00 14 59.181  -01 19 03.62  23.4i 13TG187   W84  C~4yRC      
2013 11  23.09694  00 14 57.045  -01 19 14.92  23.6r 13TG187   W84  C~4yRC      
2013 11  23.09694  00 14 57.04   -01 19 15.0   23.5r 13TG187   W84  C~3clQ      
2013 11  23.09831  00 14 57.04   -01 19 15.0   22.9i 13TG187   W84  C~3clQ      
2014 08  18.30649  00 27 34.235  -00 05 46.94  22.1z 13TG187   W84  C~4yRC      
2014 08  18.30649  00 27 34.23   -00 05 46.9   22.4z 13TG187   W84  C~3clQ      
2014 11  13.08903  00 21 33.241  -00 46 39.00  23.8r 13TG187   W84  C~4yRC      
2014 11  13.08903  00 21 33.24   -00 46 39.0   23.7r 13TG187   W84  C~3clQ      
2014 11  13.09038  00 21 33.235  -00 46 38.93  22.8i 13TG187   W84  C~4yRC      
2014 11  13.09038  00 21 33.24   -00 46 38.9   22.9i 13TG187   W84  C~3clQ      
2014 11  13.15009  00 21 33.049  -00 46 39.87  23.2z 13TG187   W84  C~4yRC      
2015 10  17.15966  00 29 25.893  -00 05 51.58  23.9r 13TG187   W84  C~4yRC      
2016 10  23.13407  00 35 00.765  +00 20 44.53  23.4r 13TG187   W84  C~4yRC      
2016 11  08.13336  00 33 57.498  +00 14 18.55  23.1z 13TG187   W84  C~4yRC      
2016 11  18.11310  00 33 25.568  +00 11 16.53  23.8r 13TG187   W84  C~4yRC      
2016 11  18.11310  00 33 25.57   +00 11 16.5   24.1r 13TG187   W84  C~3clQ      
2016 12  04.07842  00 32 50.220  +00 08 18.34  23.1z 13TG187   W84  C~4yRC      
2017 10  27.14650  00 40 45.179  +00 48 27.79  23.0z 13TG187   W84  C~4yRC      
2018 09  17.31851  00 49 43.880  +01 37 29.34  22.7i 13TG187   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     0.16       0.00    -0.09
     2   0.0000     -0.03     0.12       0.04    -0.06
     3   0.1094  -2290.06    -0.02      44.92    -0.03
     4   0.1094  -2289.99     0.05      44.87    -0.08
     5   0.1094  -2290.30    -0.16      44.87    -0.09
     6   0.1122  -2324.29    -0.14      47.17    -0.03
     7   0.1122  -2324.19    -0.04      47.21     0.01
     8   0.1122  -2324.29    -0.09      47.17    -0.04
     9   0.8465   9856.64    -0.08    -419.70     0.11
    10   0.8465   9856.69    -0.03    -419.76     0.04
    11   1.0841   3906.39     0.02    -517.56    -0.06
    12   1.0841   3906.41     0.03    -517.57    -0.06
    13   1.0841   3906.43     0.12    -517.47     0.03
    14   1.0841   3906.35     0.04    -517.47     0.04
    15   1.0842   3903.42     0.08    -517.22     0.14
    16   2.0097  11395.84    -0.04   -1090.90    -0.01
    17   3.0281  16664.19     0.01   -1625.83     0.31
    18   3.0719  15633.65    -0.04   -1602.34    -0.03
    19   3.0992  15118.97     0.03   -1578.76     0.13
    20   3.0992  15118.95     0.01   -1578.72     0.17
    21   3.1429  14558.68     0.02   -1531.14    -0.01
    22   4.0384  22114.14    -0.07   -2157.43    -0.04
    23   4.9286  30840.28     0.02   -2674.91    -0.36

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.

13TG187    quality flag:3

Type:           2:1E      2:1E      2:1E

axisobj        47.809    47.830    47.789
ecceobj         0.256     0.257     0.256
incobj          5.943     5.943     5.943
qmin           34.797    34.724    34.751
qmax           61.970    61.920    61.971
amean          47.798    47.797    47.798
amin           47.057    47.100    47.055
amax           48.662    48.594    48.643
emean           0.258     0.258     0.258
emin            0.241     0.241     0.241
emax            0.276     0.275     0.275
imean           5.254     5.241     5.230
imin            4.880     4.813     4.804
imax            5.663     5.715     5.781
excite_mean     0.274     0.274     0.274
fracstop        1.000     1.000     1.000
cjmean          3.054     3.054     3.054

libcent 0       180.0     180.2     180.8
libamp  0       157.9     156.3     160.4
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       175.7     168.0     197.1
kozaiamp        179.9     180.0     180.0