Orbit Fit and Astrometric record for 13RD156

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: 13RD156   
# Created Fri Mar 29 01:15:29 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     16 observations of     16
# Arc:   8.98y
# First observation: 2013/09/05
#  Last observation: 2022/08/27
# Chi-squared of fit:     9.42 DOF:     26 RMS:  0.14
# Min/Max residuals:    -0.42    0.36
# Exact a, adot, b, bdot, g, gdot:
  1.304854E-05  1.936707E-02  5.200653E-06  9.943825E-03  2.276882E-02  1.334446E-03
# Covariance matrix:
  3.1595E-13 -3.0896E-14  1.3522E-14  4.7689E-15  3.8019E-13  6.3149E-14
 -3.0896E-14  8.3265E-14 -2.5469E-14  4.0678E-14  2.2946E-13  4.8036E-13
  1.3522E-14 -2.5469E-14  2.0819E-13 -4.4026E-14 -3.5221E-14 -1.5717E-13
  4.7689E-15  4.0678E-14 -4.4026E-14  3.1373E-14  1.4136E-13  2.6550E-13
  3.8019E-13  2.2946E-13 -3.5221E-14  1.4136E-13  1.9378E-12  1.6914E-12
  6.3149E-14  4.8036E-13 -1.5717E-13  2.6550E-13  1.6914E-12  3.1390E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   11.396507  -34.018098   -0.284135    0.191441   -0.949379  2456540.551488
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:           54.01385 +/-     0.109
Argument of Peri:      321.99394 +/-     0.132
Long of Asc Node:      305.72443 +/-     0.000
Inclination:            29.22843 +/-     0.000
Eccentricity:         0.07489849 +/-    0.0001
Semi-Major Axis:     46.74275725 +/-    0.0109
Time of Perihelion: 2439027.0171 +/-      35.8
Perihelion:          43.24179516 +/-    0.0107
Aphelion:            50.24371935 +/-    0.0123
Period (y)              319.5801 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.64729913 +/-    0.0022
Ecliptic Y          -24.38996693 +/-    0.0015
Ecliptic Z            8.67865729 +/-    0.0005
Ecliptic XDOT         0.00123122 +/-    0.0000
Ecliptic YDOT         0.00197332 +/-    0.0000
Ecliptic ZDOT         0.00120397 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.86881266 +/-    0.0020
Geocenter to KBO     43.91970489 +/-    0.0027
# Hcoef:  6.70

The following table shows the complete astrometric record for 13RD156. 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 (13RD156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  05.05071  21 37 35.295  -02 06 44.30  22.8g 13RD156   W84  C~52RL      
2013 09  11.16668  21 37 10.536  -02 08 53.37  23.6g 13RD156   W84  C~52RL      
2013 09  11.16805  21 37 10.525  -02 08 53.59  23.2r 13RD156   W84  C~52RL      
2013 09  11.17224  21 37 10.513  -02 08 53.82  23.2i 13RD156   W84  C~52RL      
2013 10  11.06026  21 35 36.420  -02 19 14.19  23.0z 13RD156   W84  C~52RL      
2013 10  12.01636  21 35 34.372  -02 19 32.25  22.9z 13RD156   W84  C~52RL      
2016 08  25.23225  21 48 34.992  +00 38 52.52  21.6z 13RD156   W84  C~52RL      
2017 09  27.07214  21 49 49.233  +01 20 20.31  23.6r 13RD156   W84  C~52RL      
2017 09  27.07351  21 49 49.238  +01 20 20.21  23.6z 13RD156   W84  C~52RL      
2017 10  21.03381  21 48 48.377  +01 11 15.92  23.8g 13RD156   W84  C~52RL      
2017 10  21.03519  21 48 48.364  +01 11 15.79  23.3r 13RD156   W84  C~52RL      
2017 10  22.03674  21 48 46.725  +01 10 55.41  24.3r 13RD156   W84  C~52RL      
2017 10  22.03812  21 48 46.690  +01 10 55.43  22.9i 13RD156   W84  C~52RL      
2022 08  27.231820 22 08 50.953  +05 58 08.42  23.3G 13RD156   G37  C~5nHa      
2022 08  27.278980 22 08 50.743  +05 58 07.65        13RD156   G37  C~5nHa      
2022 08  27.325850 22 08 50.543  +05 58 06.68        13RD156   G37  C~5nHa      

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    -0.04       0.00     0.36
     2   0.0167      0.00    -0.01       0.00     0.14
     3   0.0167      0.00    -0.09       0.00    -0.05
     4   0.0168      0.00    -0.02       0.00    -0.19
     5   0.0986      0.00     0.01       0.00    -0.06
     6   0.1012      0.00     0.16       0.00    -0.16
     7   2.9711      0.00    -0.02       0.00    -0.13
     8   4.0603      0.00     0.08       0.00     0.07
     9   4.0603      0.00     0.22       0.00     0.00
    10   4.1259      0.00     0.13       0.00     0.02
    11   4.1259      0.00    -0.03       0.00    -0.08
    12   4.1286      0.00     0.07       0.00     0.04
    13   4.1286      0.00    -0.42       0.00     0.08
    14   8.9752      0.00    -0.05       0.00    -0.09
    15   8.9753      0.00    -0.06       0.00     0.06
    16   8.9754      0.00     0.07       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.

13RD156    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        46.922    46.922    46.922
ecceobj         0.077     0.077     0.077
incobj         29.174    29.174    29.174
qmin           42.438    42.444    42.444
qmax           51.551    51.556    51.543
amean          46.881    46.881    46.880
amin           46.510    46.515    46.504
amax           47.283    47.284    47.280
emean           0.078     0.078     0.078
emin            0.068     0.068     0.068
emax            0.090     0.091     0.090
imean          30.645    30.645    30.645
imin           30.437    30.438    30.437
imax           30.873    30.872    30.874
excite_mean     0.516     0.516     0.516
fracstop        1.000     1.000     1.000
cjmean          2.783     2.783     2.783

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       167.7     167.7     167.6
kozaiamp        179.9     180.0     179.9