Orbit Fit and Astrometric record for 13TF188

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: 13TF188   
# Created Wed Dec  8 02:12:10 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     24 observations of     24
# Arc:   7.02y
# First observation: 2013/10/13
#  Last observation: 2020/10/20
# Chi-squared of fit:     3.08 DOF:     42 RMS:  0.06
# Min/Max residuals:    -0.16    0.14
# Exact a, adot, b, bdot, g, gdot:
  1.596917E-05  2.488117E-02 -2.911977E-06 -4.645685E-03  2.493146E-02 -4.165926E-03
# Covariance matrix:
  2.5575E-13 -1.0977E-13 -1.2897E-14  1.2780E-14  1.2805E-13 -4.2438E-13
 -1.0977E-13  9.1252E-14  1.3022E-14 -1.4369E-14 -3.9085E-15  4.8130E-13
 -1.2897E-14  1.3022E-14  1.6043E-13 -4.1590E-14 -3.5706E-15  8.2274E-14
  1.2780E-14 -1.4369E-14 -4.1590E-14  1.8353E-14 -1.7714E-15 -9.1935E-14
  1.2805E-13 -3.9085E-15 -3.5706E-15 -1.7714E-15  4.8969E-13  7.3864E-14
 -4.2438E-13  4.8130E-13  8.2274E-14 -9.1935E-14  7.3864E-14  3.0824E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.686924    5.237430   -0.247027   -0.045190   -0.965299  2456578.589948
# Heliocentric elements and errors
Epoch:              2456578.5000  =  2013/10/13
Mean Anomaly:          311.79748 +/-     0.019
Argument of Peri:      260.92811 +/-     0.028
Long of Asc Node:      171.77133 +/-     0.000
Inclination:            10.86375 +/-     0.000
Eccentricity:         0.18794569 +/-    0.0001
Semi-Major Axis:     45.72338761 +/-    0.0061
Time of Perihelion: 2471699.2486 +/-      20.3
Perihelion:          37.12987381 +/-    0.0061
Aphelion:            54.31690141 +/-    0.0080
Period (y)              309.1831 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           40.83780432 +/-    0.0011
Ecliptic Y            3.99461082 +/-    0.0001
Ecliptic Z           -1.88044015 +/-    0.0001
Ecliptic XDOT        -0.00073447 +/-    0.0000
Ecliptic YDOT         0.00267558 +/-    0.0000
Ecliptic ZDOT        -0.00048802 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.07587764 +/-    0.0011
Geocenter to KBO     40.11010877 +/-    0.0011
# Hcoef:  7.32

The following table shows the complete astrometric record for 13TF188. 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 (13TF188) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.08917  00 23 29.303  -00 23 10.18  23.1z 13TF188   W84  C~4yRF      
2013 10  13.11349  00 23 29.196  -00 23 10.81  22.9i 13TF188   W84  C~4yRF      
2013 10  13.11349  00 23 29.20   -00 23 10.8   23.0i 13TF188   W84  C~3clR      
2013 11  23.09694  00 21 08.461  -00 38 31.60  23.6r 13TF188   W84  C~4yRF      
2013 11  23.09694  00 21 08.46   -00 38 31.6   23.5r 13TF188   W84  C~3clR      
2013 11  23.09831  00 21 08.454  -00 38 31.66  23.6i 13TF188   W84  C~4yRF      
2014 11  13.06664  00 27 12.479  -00 16 45.06  23.5r 13TF188   W84  C~4yRF      
2014 11  13.06664  00 27 12.48   -00 16 45.1   23.5r 13TF188   W84  C~3clR      
2014 11  13.06801  00 27 12.456  -00 16 45.18  22.9i 13TF188   W84  C~4yRF      
2016 09  08.33033  00 43 10.426  +00 53 09.75  23.1i 13TF188   W84  C~4yRF      
2016 09  08.33171  00 43 10.426  +00 53 09.79  23.7r 13TF188   W84  C~4yRF      
2016 09  09.32049  00 43 06.459  +00 52 39.38  23.1z 13TF188   W84  C~4yRF      
2016 10  23.13407  00 39 53.684  +00 30 00.07  23.4r 13TF188   W84  C~4yRF      
2016 10  23.13543  00 39 53.667  +00 30 00.11  23.7g 13TF188   W84  C~4yRF      
2016 10  23.13543  00 39 53.67   +00 30 00.1   23.9g 13TF188   W84  C~3clR      
2016 11  06.18215  00 38 58.092  +00 24 04.03  23.4i 13TF188   W84  C~4yRF      
2016 11  06.18215  00 38 58.09   +00 24 04.1   23.5i 13TF188   W84  C~3clR      
2016 11  18.11448  00 38 19.161  +00 20 07.68  23.1i 13TF188   W84  C~4yRF      
2016 11  25.06213  00 38 00.953  +00 18 23.14  23.4r 13TF188   W84  C~4yRF      
2016 11  25.06213  00 38 00.95   +00 18 23.2   23.3r 13TF188   W84  C~3clR      
2017 10  20.20967  00 45 55.361  +00 51 07.12  23.1z 13TF188   W84  C~4yRF      
2017 10  22.16485  00 45 46.836  +00 50 11.12  22.6z 13TF188   W84  C~4yRF      
2020 10  20.184200 01 03 37.352  +01 50 42.88  23.3G 13TF188   G37  C~4Kw0      
2020 10  20.237250 01 03 37.102  +01 50 41.34        13TF188   G37  C~4Kw0      

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    -0.03       0.00    -0.02
     2   0.0001      0.00    -0.03       0.00     0.07
     3   0.0001      0.00     0.03       0.00     0.08
     4   0.1123      0.00     0.00       0.00    -0.01
     5   0.1123      0.00     0.02       0.00    -0.01
     6   0.1123      0.00    -0.04       0.00    -0.06
     7   1.0841      0.00     0.12       0.00     0.05
     8   1.0841      0.00     0.14       0.00     0.01
     9   1.0841      0.00    -0.16       0.00    -0.05
    10   2.9055      0.00    -0.02       0.00    -0.06
    11   2.9055      0.00     0.06       0.00     0.03
    12   2.9082      0.00    -0.02       0.00    -0.05
    13   3.0282      0.00     0.12       0.00    -0.04
    14   3.0282      0.00    -0.00       0.00     0.03
    15   3.0282      0.00    -0.05       0.00     0.04
    16   3.0666      0.00    -0.06       0.00     0.07
    17   3.0666      0.00    -0.03       0.00     0.00
    18   3.0993      0.00    -0.08       0.00     0.01
    19   3.1183      0.00     0.04       0.00    -0.06
    20   3.1183      0.00     0.09       0.00    -0.12
    21   4.0195      0.00    -0.08       0.00     0.02
    22   4.0248      0.00     0.08       0.00     0.12
    23   7.0201      0.00     0.04       0.00    -0.01
    24   7.0203      0.00    -0.04       0.00     0.01

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.

13TF188    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        45.994    45.993    45.994
ecceobj         0.189     0.189     0.189
incobj         10.829    10.829    10.829
qmin           36.193    36.217    36.226
qmax           55.680    55.626    55.591
amean          45.692    45.684    45.692
amin           45.289    45.297    45.294
amax           46.175    46.157    46.168
emean           0.189     0.188     0.189
emin            0.174     0.174     0.174
emax            0.206     0.205     0.206
imean          10.936    10.937    10.940
imin           10.181    10.181    10.181
imax           11.782    11.774    11.772
excite_mean     0.268     0.267     0.268
fracstop        1.000     1.000     1.000
cjmean          3.034     3.034     3.034

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       186.4     186.7     186.7
kozaiamp        179.9     180.0     179.9