Orbit Fit and Astrometric record for 13TS187

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: 13TS187   
# Created Fri Dec  3 02:12:05 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     26 observations of     26
# Arc:   6.94y
# First observation: 2013/10/13
#  Last observation: 2020/09/21
# Chi-squared of fit:    17.92 DOF:     46 RMS:  0.15
# Min/Max residuals:    -0.42    0.56
# Exact a, adot, b, bdot, g, gdot:
  1.819009E-05  3.698456E-02 -8.981929E-07 -1.745412E-03  3.212844E-02  1.790449E-03
# Covariance matrix:
  2.1724E-13 -1.1201E-13 -2.8032E-15  3.0301E-15  6.9390E-14 -3.0276E-13
 -1.1201E-13  1.1355E-13  3.6871E-15 -4.3260E-15 -6.7005E-14  4.4399E-13
 -2.8032E-15  3.6871E-15  1.6917E-13 -4.5218E-14 -6.7269E-15  1.5392E-14
  3.0301E-15 -4.3260E-15 -4.5218E-14  1.8626E-14  2.7446E-15 -2.0326E-14
  6.9390E-14 -6.7005E-14 -6.7269E-15  2.7446E-15  4.8920E-13 -1.1807E-13
 -3.0276E-13  4.4399E-13  1.5392E-14 -2.0326E-14 -1.1807E-13  2.1582E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -3.859264    1.800528   -0.305314   -0.063794   -0.947396  2456578.638338
# Heliocentric elements and errors
Epoch:              2456578.5000  =  2013/10/13
Mean Anomaly:           31.47620 +/-     0.022
Argument of Peri:      196.47691 +/-     0.027
Long of Asc Node:      127.96550 +/-     0.002
Inclination:             4.60331 +/-     0.000
Eccentricity:         0.09787755 +/-    0.0001
Semi-Major Axis:     34.88162025 +/-    0.0037
Time of Perihelion: 2449999.2978 +/-       4.8
Perihelion:          31.46749269 +/-    0.0043
Aphelion:            38.29574780 +/-    0.0049
Period (y)              206.0171 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           31.97812032 +/-    0.0007
Ecliptic Y            1.31372269 +/-    0.0000
Ecliptic Z           -2.09496384 +/-    0.0000
Ecliptic XDOT         0.00003695 +/-    0.0000
Ecliptic YDOT         0.00315313 +/-    0.0000
Ecliptic ZDOT        -0.00015853 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   32.07355446 +/-    0.0007
Geocenter to KBO     31.12508463 +/-    0.0007
# Hcoef:  8.41

The following table shows the complete astrometric record for 13TS187. 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 (13TS187) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.13756  00 12 44.976  -02 49 29.31  22.9i 13TS187   W84  C~4yRD      
2013 10  13.13756  00 12 44.98   -02 49 29.3   23.0i 13TS187   W84  C~3clQ      
2013 10  13.13894  00 12 44.965  -02 49 29.55  23.0z 13TS187   W84  C~4yRD      
2013 11  08.15377  00 10 43.12   -03 01 15.2   22.8r 13TS187   W84  C~3clQ      
2013 11  22.10606  00 09 59.495  -03 04 42.73  23.6r 13TS187   W84  C~4yRD      
2013 11  22.10744  00 09 59.489  -03 04 42.56  22.9i 13TS187   W84  C~4yRD      
2013 11  22.10744  00 09 59.49   -03 04 42.6   23.4i 13TS187   W84  C~3clQ      
2014 08  18.30277  00 25 31.015  -01 30 35.81  23.2i 13TS187   W84  C~4yRD      
2016 09  09.31637  00 39 27.343  -00 13 57.46  23.4i 13TS187   W84  C~4yRD      
2016 09  09.31637  00 39 27.34   -00 13 57.4   23.4i 13TS187   W84  C~3clQ      
2016 09  09.31774  00 39 27.345  -00 13 57.43  23.5r 13TS187   W84  C~4yRD      
2016 09  09.31774  00 39 27.35   -00 13 57.5   23.7r 13TS187   W84  C~3clQ      
2016 10  01.20395  00 37 28.130  -00 27 35.58  23.5r 13TS187   W84  C~4yRD      
2016 10  01.20395  00 37 28.13   -00 27 35.5   23.6r 13TS187   W84  C~3clQ      
2016 10  01.20532  00 37 28.120  -00 27 35.79  22.4i 13TS187   W84  C~4yRD      
2016 10  01.20532  00 37 28.12   -00 27 35.8   22.6i 13TS187   W84  C~3clQ      
2016 10  01.20671  00 37 28.122  -00 27 35.70  24.5g 13TS187   W84  C~4yRD      
2016 10  23.13680  00 35 26.884  -00 40 14.53  23.5r 13TS187   W84  C~4yRD      
2016 10  23.13680  00 35 26.88   -00 40 14.5   23.7r 13TS187   W84  C~3clQ      
2016 11  06.18354  00 34 18.803  -00 46 42.18  23.5i 13TS187   W84  C~4yRD      
2017 09  18.25253  00 46 28.878  +00 25 18.31  23.3i 13TS187   W84  C~4yRE      
2017 09  18.25390  00 46 28.878  +00 25 18.14  23.6r 13TS187   W84  C~4yRE      
2017 10  20.20967  00 43 30.802  +00 06 04.35  23.4z 13TS187   W84  C~4yRE      
2018 10  10.26372  00 52 13.096  +00 56 22.94  23.5r 13TS187   W84  C~4yRE      
2020 09  21.255740 01 09 21.531  +02 35 38.70  23.4G 13TS187   G37  C~49wo      
2020 09  21.317220 01 09 21.138  +02 35 36.89        13TS187   G37  C~49wo      

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    -0.00       0.00     0.01
     2   0.0000      0.00    -0.06       0.00    -0.00
     3   0.0000      0.00    -0.11       0.00    -0.20
     4   0.0712      0.00     0.17       0.00    -0.01
     5   0.1094      0.00     0.04       0.00    -0.11
     6   0.1094      0.00     0.02       0.00     0.03
     7   0.1094      0.00     0.00       0.00     0.07
     8   0.8464      0.00     0.02       0.00    -0.10
     9   2.9081      0.00    -0.06       0.00     0.17
    10   2.9081      0.00    -0.02       0.00     0.11
    11   2.9081      0.00     0.19       0.00     0.12
    12   2.9081      0.00     0.12       0.00     0.19
    13   2.9680      0.00    -0.07       0.00     0.13
    14   2.9680      0.00    -0.07       0.00     0.05
    15   2.9680      0.00    -0.10       0.00    -0.11
    16   2.9680      0.00    -0.10       0.00    -0.12
    17   2.9680      0.00     0.05       0.00     0.03
    18   3.0281      0.00     0.13       0.00    -0.09
    19   3.0281      0.00     0.19       0.00    -0.12
    20   3.0665      0.00    -0.11       0.00     0.12
    21   3.9319      0.00    -0.12       0.00     0.03
    22   3.9319      0.00    -0.00       0.00    -0.08
    23   4.0194      0.00    -0.01       0.00     0.10
    24   4.9914      0.00    -0.11       0.00     0.10
    25   6.9408      0.00     0.56       0.00    -0.33
    26   6.9409      0.00    -0.42       0.00     0.06

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.

13TS187    quality flag:3

Type:           5:4E      5:4E      5:4E

axisobj        35.054    35.054    35.054
ecceobj         0.103     0.103     0.103
incobj          4.598     4.598     4.598
qmin           30.770    30.770    30.769
qmax           39.500    39.500    39.499
amean          34.943    34.943    34.943
amin           34.610    34.610    34.609
amax           35.302    35.302    35.302
emean           0.099     0.099     0.099
emin            0.080     0.080     0.080
emax            0.120     0.120     0.120
imean           2.946     2.946     2.946
imin            1.544     1.544     1.544
imax            4.358     4.358     4.358
excite_mean     0.113     0.113     0.113
fracstop        1.000     1.000     1.000
cjmean          3.003     3.003     3.003

libcent 0       179.7     179.8     179.7
libamp  0        71.0      71.2      71.0
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       179.2     179.1     179.2
kozaiamp        180.0     180.0     179.9