Orbit Fit and Astrometric record for 13RY156

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: 13RY156   
# Created Tue Dec  7 02:11:57 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     12 observations of     12
# Arc:   5.21y
# First observation: 2013/09/10
#  Last observation: 2018/11/26
# Chi-squared of fit:     2.04 DOF:     18 RMS:  0.07
# Min/Max residuals:    -0.17    0.16
# Exact a, adot, b, bdot, g, gdot:
  1.519852E-05  2.412427E-02 -3.281900E-06 -4.185577E-03  2.428982E-02  5.972979E-03
# Covariance matrix:
  4.0261E-13 -1.3727E-13 -9.2403E-16  2.2049E-14  3.5653E-13 -8.0751E-13
 -1.3727E-13  5.4846E-13  3.1329E-14 -9.3468E-14  5.6536E-13  4.6056E-12
 -9.2403E-16  3.1329E-14  3.4923E-13 -8.2505E-14  5.7149E-14  2.6152E-13
  2.2049E-14 -9.3468E-14 -8.2505E-14  4.6727E-14 -3.0694E-15 -8.9122E-13
  3.5653E-13  5.6536E-13  5.7149E-14 -3.0694E-15  4.2702E-12  2.5721E-12
 -8.0751E-13  4.6056E-12  2.6152E-13 -8.9122E-13  2.5721E-12  4.2310E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   11.407847  -34.115516   -0.368349    0.185636   -0.919556  2456545.692638
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:           45.50569 +/-     0.036
Argument of Peri:       56.46559 +/-     0.049
Long of Asc Node:      194.35042 +/-     0.001
Inclination:            14.87160 +/-     0.000
Eccentricity:         0.28178032 +/-    0.0003
Semi-Major Axis:     49.13776256 +/-    0.0211
Time of Perihelion: 2440643.2921 +/-      16.3
Perihelion:          35.29170814 +/-    0.0212
Aphelion:            62.98381698 +/-    0.0309
Period (y)              344.4540 +/-      0.22
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           34.39455347 +/-    0.0028
Ecliptic Y          -22.85250664 +/-    0.0019
Ecliptic Z            8.14283902 +/-    0.0007
Ecliptic XDOT         0.00214255 +/-    0.0000
Ecliptic YDOT         0.00182760 +/-    0.0000
Ecliptic ZDOT        -0.00032916 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.08936128 +/-    0.0025
Geocenter to KBO     41.16938883 +/-    0.0035
# Hcoef:  6.82

The following table shows the complete astrometric record for 13RY156. 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 (13RY156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.19186  21 37 12.745  -02 07 59.12  22.0i 13RY156   W84  C~52RN      
2013 09  11.16805  21 37 08.928  -02 08 28.55  23.1r 13RY156   W84  C~52RN      
2013 09  11.17224  21 37 08.905  -02 08 28.71  23.3i 13RY156   W84  C~52RN      
2013 10  11.06026  21 35 37.651  -02 23 05.42  22.7z 13RY156   W84  C~52RN      
2016 09  26.07159  21 52 30.401  -01 35 26.72  23.5r 13RY156   W84  C~52RN      
2016 09  26.07297  21 52 30.400  -01 35 26.79  22.8i 13RY156   W84  C~52RN      
2017 10  10.10577  21 57 07.497  -01 28 49.44  23.6r 13RY156   W84  C~52RN      
2017 10  11.10442  21 57 05.065  -01 29 17.08  23.0i 13RY156   W84  C~52RN      
2018 09  18.20414  22 03 31.441  -01 04 42.17  22.7z 13RY156   W84  C~52RN      
2018 09  29.04412  22 02 53.303  -01 10 07.98  23.0i 13RY156   W84  C~52RN      
2018 10  28.00837  22 01 47.011  -01 23 12.38  23.7r 13RY156   W84  C~52RN      
2018 11  26.02862  22 01 48.942  -01 31 25.95  22.5z 13RY156   W84  C~52RN      

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     0.06       0.00     0.14
     2   0.0027      0.00     0.06       0.00    -0.05
     3   0.0027      0.00    -0.03       0.00    -0.09
     4   0.0845      0.00    -0.07       0.00     0.05
     5   3.0442      0.00    -0.03       0.00    -0.01
     6   3.0442      0.00     0.02       0.00    -0.04
     7   4.0819      0.00     0.05       0.00    -0.17
     8   4.0846      0.00    -0.00       0.00     0.04
     9   5.0213      0.00    -0.05       0.00    -0.09
    10   5.0509      0.00     0.02       0.00     0.16
    11   5.1302      0.00     0.00       0.00     0.04
    12   5.2097      0.00     0.00       0.00     0.02

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.

13RY156    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        49.315    49.316    49.315
ecceobj         0.283     0.283     0.283
incobj         14.856    14.856    14.856
qmin           34.625    34.585    34.571
qmax           64.974    65.137    65.194
amean          49.337    49.427    49.537
amin           48.729    48.904    49.014
amax           50.026    50.203    50.155
emean           0.279     0.280     0.286
emin            0.260     0.262     0.267
emax            0.299     0.300     0.300
imean          15.175    15.231    15.035
imin           14.385    14.409    14.380
imax           15.954    16.039    15.892
excite_mean     0.383     0.384     0.386
fracstop        1.000     1.000     1.000
cjmean          2.983     2.983     2.982

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       182.6     185.0     174.1
kozaiamp        179.9     179.9     179.9