Orbit Fit and Astrometric record for 13TD188

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: 13TD188   
# Created Wed Dec 25 02:09:39 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     20 observations of     20
# Arc:   6.83y
# First observation: 2013/10/13
#  Last observation: 2020/08/12
# Chi-squared of fit:     9.79 DOF:     34 RMS:  0.12
# Min/Max residuals:    -0.25    0.24
# Exact a, adot, b, bdot, g, gdot:
  1.286487E-05  1.884312E-02  1.084606E-06  1.319958E-03  2.156576E-02  2.082573E-04
# Covariance matrix:
  2.3870E-13 -8.2262E-14 -6.2700E-16 -1.3433E-15  1.5155E-13 -1.8948E-13
 -8.2262E-14  9.4186E-14 -2.5823E-15  5.1187E-15 -3.5604E-15  6.5373E-13
 -6.2700E-16 -2.5823E-15  1.6699E-13 -3.5820E-14 -6.9617E-15 -2.9907E-14
 -1.3433E-15  5.1187E-15 -3.5820E-14  1.3991E-14  5.1801E-15  4.8371E-14
  1.5155E-13 -3.5604E-15 -6.9617E-15  5.1801E-15  4.9841E-13  6.0186E-13
 -1.8948E-13  6.5373E-13 -2.9907E-14  4.8371E-14  6.0186E-13  6.1021E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.261206    5.959631   -0.235040   -0.038133   -0.968589  2456578.602568
# Heliocentric elements and errors
Epoch:              2456578.5000  =  2013/10/13
Mean Anomaly:          169.76259 +/-     0.088
Argument of Peri:      159.82128 +/-     0.083
Long of Asc Node:       35.07507 +/-     0.002
Inclination:             4.58606 +/-     0.000
Eccentricity:         0.08168919 +/-    0.0001
Semi-Major Axis:     43.80880531 +/-    0.0052
Time of Perihelion: 2406634.8788 +/-      27.5
Perihelion:          40.23009951 +/-    0.0064
Aphelion:            47.38751111 +/-    0.0070
Period (y)              289.9682 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           47.02242423 +/-    0.0015
Ecliptic Y            5.14815807 +/-    0.0001
Ecliptic Z           -1.82951275 +/-    0.0001
Ecliptic XDOT        -0.00022169 +/-    0.0000
Ecliptic YDOT         0.00238126 +/-    0.0000
Ecliptic ZDOT         0.00016654 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   47.33876014 +/-    0.0015
Geocenter to KBO     46.36984251 +/-    0.0015
# Hcoef:  6.76

The following table shows the complete astrometric record for 13TD188. 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 (13TD188) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.10179  00 25 27.875  +00 17 25.49  23.2z 13TD188   W84  C~4yRF      
2013 10  13.11209  00 25 27.83   +00 17 25.2   23.0i 13TD188   W84  C~3clR      
2013 10  28.07505  00 24 31.903  +00 11 54.48  24.1r 13TD188   W84  C~4yRF      
2013 11  22.08391  00 23 20.071  +00 05 25.01  24.4g 13TD188   W84  C~4yRF      
2013 11  22.09533  00 23 20.056  +00 05 24.89  23.5r 13TD188   W84  C~4yRF      
2013 11  22.09673  00 23 20.040  +00 05 24.74  23.1i 13TD188   W84  C~4yRF      
2013 11  23.10780  00 23 17.927  +00 05 14.66  24.1r 13TD188   W84  C~4yRF      
2013 11  23.10919  00 23 17.930  +00 05 14.57  23.3i 13TD188   W84  C~4yRF      
2016 09  09.31225  00 39 11.425  +02 00 22.83  23.4r 13TD188   W84  C~4yRF      
2016 09  09.31362  00 39 11.421  +02 00 22.81  23.1i 13TD188   W84  C~4yRF      
2016 09  10.31583  00 39 07.733  +01 59 58.78  23.0z 13TD188   W84  C~4yRF      
2016 11  18.11310  00 34 54.377  +01 34 37.69  23.3r 13TD188   W84  C~4yRF      
2016 11  25.06213  00 34 37.944  +01 33 13.87  23.8r 13TD188   W84  C~4yRF      
2017 08  22.32596  00 44 00.440  +02 36 24.05  24.3r 13TD188   W84  C~4yRF      
2017 10  27.14788  00 39 54.349  +02 10 45.73  22.7z 13TD188   W84  C~4yRF      
2018 09  09.24289  00 46 53.360  +02 59 39.50  22.7z 13TD188   W84  C~4yRF      
2018 10  18.19480  00 44 19.741  +02 43 48.12  23.1i 13TD188   W84  C~4yRF      
2018 10  18.19616  00 44 19.763  +02 43 48.02  23.0z 13TD188   W84  C~4yRF      
2020 08  12.384400 00 55 51.942  +04 06 57.18  23.3G 13TD188   G37  C~441d      
2020 08  12.454410 00 55 51.808  +04 06 56.43        13TD188   G37  C~441d      

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     0.19       0.00     0.06
     2   0.0000      0.00     0.13       0.00     0.01
     3   0.0410      0.00    -0.19       0.00    -0.09
     4   0.1095      0.00    -0.12       0.00     0.03
     5   0.1095      0.00     0.03       0.00     0.03
     6   0.1095      0.00    -0.16       0.00    -0.11
     7   0.1123      0.00     0.04       0.00     0.04
     8   0.1123      0.00     0.13       0.00    -0.04
     9   2.9082      0.00     0.04       0.00     0.12
    10   2.9082      0.00     0.06       0.00     0.13
    11   2.9109      0.00    -0.02       0.00    -0.12
    12   3.0993      0.00     0.24       0.00     0.01
    13   3.1183      0.00    -0.10       0.00    -0.15
    14   3.8582      0.00    -0.24       0.00    -0.07
    15   4.0385      0.00    -0.04       0.00     0.16
    16   4.9066      0.00     0.07       0.00     0.08
    17   5.0133      0.00    -0.25       0.00     0.12
    18   5.0133      0.00     0.16       0.00     0.06
    19   6.8317      0.00    -0.04       0.00    -0.22
    20   6.8319      0.00     0.16       0.00    -0.00

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.

13TD188    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        44.048    44.048    44.048
ecceobj         0.076     0.076     0.076
incobj          4.576     4.576     4.576
qmin           39.365    39.360    39.376
qmax           48.546    48.505    48.581
amean          43.843    43.843    43.843
amin           43.487    43.490    43.484
amax           44.239    44.227    44.236
emean           0.081     0.081     0.081
emin            0.063     0.063     0.063
emax            0.099     0.098     0.100
imean           3.799     3.799     3.799
imin            2.964     2.965     2.963
imax            4.574     4.573     4.577
excite_mean     0.104     0.104     0.104
fracstop        1.000     1.000     1.000
cjmean          3.086     3.086     3.086

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       182.1     182.0     182.1
kozaiamp        179.9     179.9     179.9