Orbit Fit and Astrometric record for 13TF187

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: 13TF187   
# Created Wed Dec  8 02:12:08 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     32 observations of     32
# Arc:   5.03y
# First observation: 2013/09/02
#  Last observation: 2018/09/14
# Chi-squared of fit:    15.39 DOF:     58 RMS:  0.12
# Min/Max residuals:    -0.50    0.29
# Exact a, adot, b, bdot, g, gdot:
  1.695617E-05  3.054426E-02 -5.779328E-07  3.776517E-04  2.768913E-02  3.184224E-03
# Covariance matrix:
  3.4015E-13 -7.1807E-15 -1.8647E-15  1.0675E-15  2.6879E-13  4.6249E-13
 -7.1807E-15  1.5281E-13 -8.6926E-16  2.0550E-15  7.0386E-14  1.2347E-12
 -1.8647E-15 -8.6926E-16  9.0285E-14 -2.5018E-14 -2.2806E-15 -9.8970E-15
  1.0675E-15  2.0550E-15 -2.5018E-14  1.4298E-14  1.8866E-15  1.9300E-14
  2.6879E-13  7.0386E-14 -2.2806E-15  1.8866E-15  3.0824E-13  9.4587E-13
  4.6249E-13  1.2347E-12 -9.8970E-15  1.9300E-14  9.4587E-13  1.1376E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.341235    7.852477    0.477382   -0.036278   -0.889411  2456537.776398
# Heliocentric elements and errors
Epoch:              2456538.5000  =  2013/09/03
Mean Anomaly:           24.89028 +/-     0.023
Argument of Peri:      250.92794 +/-     0.036
Long of Asc Node:       80.76275 +/-     0.005
Inclination:             2.38103 +/-     0.000
Eccentricity:         0.17612824 +/-    0.0001
Semi-Major Axis:     43.67487332 +/-    0.0041
Time of Perihelion: 2449249.4108 +/-       6.8
Perihelion:          35.98249491 +/-    0.0051
Aphelion:            51.36725173 +/-    0.0062
Period (y)              288.6394 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.69343969 +/-    0.0007
Ecliptic Y            4.58184920 +/-    0.0001
Ecliptic Z           -1.47537085 +/-    0.0000
Ecliptic XDOT        -0.00010566 +/-    0.0000
Ecliptic YDOT         0.00303394 +/-    0.0000
Ecliptic ZDOT         0.00002459 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.00776171 +/-    0.0007
Geocenter to KBO     36.11522125 +/-    0.0007
# Hcoef:  7.56

The following table shows the complete astrometric record for 13TF187. 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 (13TF187) followed by the observatory code and reference code for the source of the astrometry.

2013 09  02.27562  00 32 32.512  +00 57 49.57  24.0g 13TF187   W84  C~4yRC      
2013 09  11.30288  00 31 52.658  +00 53 19.94  24.2g 13TF187   W84  C~4yRC      
2013 10  13.10179  00 29 17.501  +00 36 42.49  22.5z 13TF187   W84  C~4yRC      
2013 10  13.10179  00 29 17.50   +00 36 42.5   22.5z 13TF187   W84  C~3clP      
2013 10  13.11209  00 29 17.467  +00 36 42.26  22.7i 13TF187   W84  C~4yRC      
2013 10  28.07505  00 28 08.577  +00 29 45.20  23.1r 13TF187   W84  C~4yRC      
2013 10  28.07505  00 28 08.58   +00 29 45.2   23.1r 13TF187   W84  C~3clP      
2013 11  22.08391  00 26 40.680  +00 21 34.65  24.0g 13TF187   W84  C~4yRC      
2013 11  22.08391  00 26 40.68   +00 21 34.6   24.3g 13TF187   W84  C~3clQ      
2013 11  22.09533  00 26 40.652  +00 21 34.67  23.2r 13TF187   W84  C~4yRC      
2013 11  22.09533  00 26 40.65   +00 21 34.7   23.2r 13TF187   W84  C~3clQ      
2013 11  22.09673  00 26 40.642  +00 21 34.71  22.5i 13TF187   W84  C~4yRC      
2013 11  22.09673  00 26 40.64   +00 21 34.6   23.1i 13TF187   W84  C~3clQ      
2013 11  23.10780  00 26 38.077  +00 21 21.91  23.7r 13TF187   W84  C~4yRC      
2013 11  23.10780  00 26 38.08   +00 21 21.9   23.7r 13TF187   W84  C~3clQ      
2013 11  23.10919  00 26 38.067  +00 21 21.95  23.0i 13TF187   W84  C~4yRC      
2013 11  23.10919  00 26 38.07   +00 21 21.9   23.0i 13TF187   W84  C~3clQ      
2014 10  29.20908  00 34 27.854  +01 11 51.02  23.2r 13TF187   W84  C~4yRC      
2016 09  05.32440  00 51 20.297  +03 02 20.13  22.3r 13TF187   W84  C~4yRC      
2016 09  05.32440  00 51 20.33   +03 02 20.4   23.2r 13TF187   W84  C~3clQ      
2016 09  05.32577  00 51 20.341  +03 02 20.24  24.0g 13TF187   W84  C~4yRC      
2016 11  25.06487  00 45 26.236  +02 26 23.27  23.3r 13TF187   W84  C~4yRC      
2016 11  25.06487  00 45 26.24   +02 26 23.3   23.6r 13TF187   W84  C~3clQ      
2016 11  25.06625  00 45 26.241  +02 26 22.98  23.2i 13TF187   W84  C~4yRC      
2016 11  25.06625  00 45 26.24   +02 26 23.0   23.3i 13TF187   W84  C~3clQ      
2017 08  28.28126  00 58 07.752  +03 47 05.87  23.0r 13TF187   W84  C~4yRC      
2017 08  28.28264  00 58 07.746  +03 47 05.79  22.7i 13TF187   W84  C~4yRC      
2017 09  27.23225  00 55 59.103  +03 33 00.26  23.4r 13TF187   W84  C~4yRC      
2017 09  27.23363  00 55 59.098  +03 33 00.28  22.3i 13TF187   W84  C~4yRC      
2017 09  27.23499  00 55 59.099  +03 33 00.09  23.3g 13TF187   W84  C~4yRC      
2018 09  14.33468  01 03 15.658  +04 20 29.63  23.4i 13TF187   W84  C~4yRC      
2018 09  14.33605  01 03 15.648  +04 20 29.67  24.3g 13TF187   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     0.03       0.00     0.19
     2   0.0247      0.00     0.29       0.00     0.03
     3   0.1118      0.00    -0.15       0.00    -0.05
     4   0.1118      0.00    -0.14       0.00    -0.06
     5   0.1118      0.00     0.12       0.00     0.02
     6   0.1528      0.00    -0.06       0.00     0.10
     7   0.1528      0.00    -0.11       0.00     0.10
     8   0.2212      0.00     0.04       0.00    -0.22
     9   0.2212      0.00     0.04       0.00    -0.17
    10   0.2213      0.00     0.05       0.00     0.03
    11   0.2213      0.00     0.08       0.00    -0.00
    12   0.2213      0.00    -0.04       0.00    -0.05
    13   0.2213      0.00    -0.01       0.00     0.06
    14   0.2240      0.00     0.04       0.00     0.02
    15   0.2240      0.00    -0.01       0.00     0.03
    16   0.2240      0.00    -0.06       0.00     0.03
    17   0.2240      0.00    -0.10       0.00     0.08
    18   1.1552      0.00     0.00       0.00     0.02
    19   3.0090      0.00    -0.01       0.00    -0.03
    20   3.0090      0.00    -0.50       0.00    -0.30
    21   3.0090      0.00     0.24       0.00    -0.15
    22   3.2301      0.00     0.04       0.00     0.15
    23   3.2301      0.00    -0.02       0.00     0.12
    24   3.2301      0.00     0.10       0.00    -0.13
    25   3.2301      0.00     0.11       0.00    -0.15
    26   3.9863      0.00     0.06       0.00     0.10
    27   3.9863      0.00     0.05       0.00     0.06
    28   4.0683      0.00     0.00       0.00     0.05
    29   4.0683      0.00     0.03       0.00     0.12
    30   4.0683      0.00     0.14       0.00    -0.03
    31   5.0323      0.00    -0.03       0.00     0.01
    32   5.0323      0.00    -0.09       0.00     0.09

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.

13TF187    quality flag:3

Type:         7:4EEE    7:4EEE    7:4EEE

axisobj        43.950    43.950    43.950
ecceobj         0.182     0.182     0.182
incobj          2.382     2.382     2.382
qmin           35.256    35.256    35.256
qmax           52.578    52.578    52.577
amean          43.727    43.727    43.727
amin           43.308    43.308    43.309
amax           44.192    44.192    44.192
emean           0.176     0.176     0.176
emin            0.158     0.158     0.158
emax            0.191     0.191     0.191
imean           1.330     1.331     1.328
imin            0.317     0.317     0.316
imax            2.256     2.257     2.256
excite_mean     0.177     0.177     0.177
fracstop        1.000     1.000     1.000
cjmean          3.060     3.060     3.060

libcent 0       178.0     178.0     177.9
libamp  0        52.7      52.6      52.7
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       180.3     180.4     180.3
kozaiamp        180.0     180.0     180.0