Orbit Fit and Astrometric record for 13TZ187

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: 13TZ187   
# Created Sat Dec  4 02:12:09 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     29 observations of     29
# Arc:   5.16y
# First observation: 2013/10/03
#  Last observation: 2018/11/29
# Chi-squared of fit:     7.94 DOF:     52 RMS:  0.09
# Min/Max residuals:    -0.24    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.782842E-05  3.570921E-02 -3.315529E-06 -5.391990E-03  3.288417E-02 -1.695068E-03
# Covariance matrix:
  3.0086E-13 -2.7467E-13 -2.3670E-14  3.4357E-14 -1.6354E-13 -1.2484E-12
 -2.7467E-13  3.5956E-13  3.3308E-14 -4.9880E-14  2.8159E-13  1.8055E-12
 -2.3670E-14  3.3308E-14  1.4150E-13 -4.8835E-14  2.2585E-14  1.8066E-13
  3.4357E-14 -4.9880E-14 -4.8835E-14  2.9338E-14 -4.0119E-14 -2.6748E-13
 -1.6354E-13  2.8159E-13  2.2585E-14 -4.0119E-14  4.0214E-13  1.4242E-12
 -1.2484E-12  1.8055E-12  1.8066E-13 -2.6748E-13  1.4242E-12  9.6953E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -10.261213   24.646190    0.254611   -0.172269   -0.952238  2456568.793368
# Heliocentric elements and errors
Epoch:              2456568.5000  =  2013/10/03
Mean Anomaly:          239.50027 +/-     0.058
Argument of Peri:      356.35359 +/-     0.053
Long of Asc Node:      155.61870 +/-     0.001
Inclination:            13.16559 +/-     0.000
Eccentricity:         0.06929206 +/-    0.0001
Semi-Major Axis:     30.20005114 +/-    0.0017
Time of Perihelion: 2476859.0357 +/-      10.3
Perihelion:          28.10742728 +/-    0.0025
Aphelion:            32.29267500 +/-    0.0027
Period (y)              165.9662 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           28.18240938 +/-    0.0005
Ecliptic Y           12.65351350 +/-    0.0002
Ecliptic Z           -5.41721144 +/-    0.0001
Ecliptic XDOT        -0.00144488 +/-    0.0000
Ecliptic YDOT         0.00260959 +/-    0.0000
Ecliptic ZDOT        -0.00041646 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.36411462 +/-    0.0005
Geocenter to KBO     30.40982150 +/-    0.0006
# Hcoef:  8.06

The following table shows the complete astrometric record for 13TZ187. 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 (13TZ187) followed by the observatory code and reference code for the source of the astrometry.

2013 10  03.29259  01 46 17.581  -00 00 43.58  24.6g 13TZ187   W84  C~4yRE      
2013 10  04.20181  01 46 12.491  -00 01 20.96  23.3g 13TZ187   W84  C~4yRE      
2013 10  04.20181  01 46 12.50   -00 01 21.0   23.7g 13TZ187   W84  C~3clQ      
2014 08  18.36275  01 57 20.208  +00 55 58.82  22.0z 13TZ187   W84  C~4yRE      
2014 08  18.36275  01 57 20.21   +00 55 58.8   21.9z 13TZ187   W84  C~3clQ      
2014 10  01.33657  01 54 35.273  +00 27 52.43  22.9r 13TZ187   W84  C~4yRE      
2014 10  01.33657  01 54 35.27   +00 27 52.4   23.0r 13TZ187   W84  C~3clQ      
2014 10  01.33794  01 54 35.256  +00 27 52.49  22.6i 13TZ187   W84  C~4yRE      
2014 10  01.33794  01 54 35.26   +00 27 52.5   22.7i 13TZ187   W84  C~3clR      
2014 10  03.32907  01 54 24.348  +00 26 30.71  23.1r 13TZ187   W84  C~4yRE      
2014 10  03.32907  01 54 24.35   +00 26 30.7   22.9r 13TZ187   W84  C~3clR      
2014 10  23.27656  01 52 27.758  +00 13 34.90  23.1r 13TZ187   W84  C~4yRE      
2014 10  23.27656  01 52 27.76   +00 13 34.9   23.3r 13TZ187   W84  C~3clR      
2014 10  23.27793  01 52 27.746  +00 13 34.83  22.2i 13TZ187   W84  C~4yRE      
2014 10  23.27793  01 52 27.75   +00 13 34.8   22.3i 13TZ187   W84  C~3clR      
2014 12  25.08913  01 47 40.846  -00 03 50.17  22.6z 13TZ187   W84  C~4yRE      
2015 09  04.32065  02 04 41.360  +01 13 08.49  22.9z 13TZ187   W84  C~4yRE      
2015 11  20.13336  01 57 54.640  +00 27 15.84  22.8i 13TZ187   W84  C~4yRE      
2016 01  12.05868  01 55 19.585  +00 26 37.49  22.9r 13TZ187   W84  C~4yRE      
2016 01  12.05868  01 55 19.59   +00 26 37.5   22.9r 13TZ187   W84  C~3clR      
2016 11  11.18165  02 06 47.882  +00 57 35.30  22.3z 13TZ187   W84  C~4yRE      
2016 11  11.18165  02 06 47.88   +00 57 35.3   22.4z 13TZ187   W84  C~3clR      
2016 11  27.12737  02 05 21.228  +00 51 51.82  23.6r 13TZ187   W84  C~4yRE      
2016 11  27.12737  02 05 21.23   +00 51 51.8   23.6r 13TZ187   W84  C~3clR      
2017 10  13.24668  02 17 54.162  +01 41 07.01  22.7i 13TZ187   W84  C~4yRE      
2017 10  13.24804  02 17 54.142  +01 41 06.73  23.2r 13TZ187   W84  C~4yRE      
2018 09  11.33153  02 28 38.806  +02 29 12.75  22.6i 13TZ187   W84  C~4yRE      
2018 09  11.33817  02 28 38.761  +02 29 12.56  23.4r 13TZ187   W84  C~4yRE      
2018 11  29.17757  02 21 32.038  +01 45 28.50  24.1g 13TZ187   W84  C~4yRE      

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    -0.18       0.00     0.09
     2   0.0025      0.00    -0.03       0.00     0.03
     3   0.0025      0.00     0.11       0.00    -0.01
     4   0.8736      0.00     0.08       0.00    -0.24
     5   0.8736      0.00     0.05       0.00    -0.22
     6   0.9940      0.00     0.07       0.00    -0.04
     7   0.9940      0.00     0.11       0.00    -0.01
     8   0.9940      0.00     0.03       0.00     0.11
     9   0.9940      0.00    -0.03       0.00     0.10
    10   0.9994      0.00     0.09       0.00     0.02
    11   0.9994      0.00     0.06       0.00     0.03
    12   1.0540      0.00    -0.01       0.00     0.04
    13   1.0540      0.00    -0.04       0.00     0.04
    14   1.0540      0.00    -0.04       0.00    -0.01
    15   1.0540      0.00    -0.10       0.00     0.02
    16   1.2260      0.00    -0.08       0.00     0.07
    17   1.9193      0.00     0.01       0.00     0.05
    18   2.1296      0.00     0.10       0.00    -0.14
    19   2.2745      0.00     0.01       0.00     0.02
    20   2.2745      0.00    -0.07       0.00     0.01
    21   3.1072      0.00    -0.07       0.00     0.10
    22   3.1072      0.00    -0.04       0.00     0.10
    23   3.1508      0.00    -0.02       0.00    -0.05
    24   3.1508      0.00    -0.05       0.00    -0.03
    25   4.0273      0.00     0.11       0.00     0.10
    26   4.0273      0.00    -0.07       0.00    -0.13
    27   4.9392      0.00     0.10       0.00    -0.05
    28   4.9392      0.00    -0.23       0.00     0.01
    29   5.1551      0.00     0.22       0.00     0.04

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.

13TZ187    quality flag:3

Type:            1:1       1:1       1:1

axisobj        30.312    30.312    30.312
ecceobj         0.064     0.064     0.064
incobj         13.137    13.137    13.137
qmin           27.514    27.514    27.514
qmax           32.811    32.811    32.810
amean          30.110    30.110    30.110
amin           29.843    29.844    29.843
amax           30.423    30.423    30.423
emean           0.059     0.059     0.059
emin            0.038     0.038     0.038
emax            0.081     0.081     0.081
imean          12.058    12.058    12.058
imin           11.866    11.866    11.866
imax           12.211    12.211    12.211
excite_mean     0.217     0.217     0.217
fracstop        1.000     1.000     1.000
cjmean          2.955     2.955     2.955

libcent 0        61.6      61.6      61.6
libamp  0        16.0      16.0      16.0
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       177.6     177.6     177.6
kozaiamp        179.9     180.0     180.0