Orbit Fit and Astrometric record for 13RU156

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: 13RU156   
# Created Wed Dec  8 02:11:56 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     17 observations of     17
# Arc:   5.22y
# First observation: 2013/09/09
#  Last observation: 2018/11/27
# Chi-squared of fit:     4.29 DOF:     28 RMS:  0.09
# Min/Max residuals:    -0.21    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.930439E-05  3.414550E-02  2.398085E-06  5.607696E-03  2.846804E-02 -3.440923E-03
# Covariance matrix:
  4.9852E-13 -2.2760E-13  1.6417E-14 -2.7416E-14  1.1126E-13 -9.0679E-13
 -2.2760E-13  3.1477E-13 -3.4399E-14  5.3117E-14  1.0217E-13  1.7779E-12
  1.6417E-14 -3.4399E-14  3.7119E-13 -9.5408E-14 -1.2766E-14 -2.1313E-13
 -2.7416E-14  5.3117E-14 -9.5408E-14  3.7916E-14  1.4568E-14  3.3063E-13
  1.1126E-13  1.0217E-13 -1.2766E-14  1.4568E-14  4.3636E-13  5.1467E-13
 -9.0679E-13  1.7779E-12 -2.1313E-13  3.3063E-13  5.1467E-13  1.1059E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -7.125514    1.399749    0.260999   -0.120696   -0.966234  2456544.737628
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:          350.36617 +/-     0.008
Argument of Peri:      345.70190 +/-     0.020
Long of Asc Node:       37.40010 +/-     0.001
Inclination:            11.57769 +/-     0.000
Eccentricity:         0.37729264 +/-    0.0001
Semi-Major Axis:     56.73567922 +/-    0.0093
Time of Perihelion: 2460721.6438 +/-      37.6
Perihelion:          35.32972504 +/-    0.0078
Aphelion:            78.14163341 +/-    0.0138
Period (y)              427.3587 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.82494747 +/-    0.0008
Ecliptic Y            0.61746522 +/-    0.0000
Ecliptic Z           -4.35721424 +/-    0.0001
Ecliptic XDOT        -0.00034779 +/-    0.0000
Ecliptic YDOT         0.00327535 +/-    0.0000
Ecliptic ZDOT         0.00057633 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.09430252 +/-    0.0008
Geocenter to KBO     35.12721078 +/-    0.0008
# Hcoef:  7.91

The following table shows the complete astrometric record for 13RU156. 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 (13RU156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  09.23685  00 16 30.544  -05 58 44.78  23.5g 13RU156   W84  C~52RN      
2013 10  13.15319  00 13 40.534  -06 14 50.75  22.7i 13RU156   W84  C~52RN      
2013 10  13.15600  00 13 40.527  -06 14 50.95  22.8z 13RU156   W84  C~52RN      
2014 11  15.12231  00 18 06.772  -05 18 57.21  23.5i 13RU156   W84  C~52RN      
2016 09  09.16734  00 36 39.057  -02 42 17.15  23.4i 13RU156   W84  C~52RN      
2016 09  09.27089  00 36 38.564  -02 42 20.41  22.9r 13RU156   W84  C~52RN      
2016 09  09.27227  00 36 38.563  -02 42 20.28  24.3g 13RU156   W84  C~52RN      
2016 11  18.07307  00 31 15.801  -03 09 18.05  23.2r 13RU156   W84  C~52RN      
2016 11  18.07445  00 31 15.795  -03 09 17.76  24.4g 13RU156   W84  C~52RN      
2017 09  18.24703  00 42 42.621  -01 40 06.27  23.0i 13RU156   W84  C~52RN      
2017 09  18.24840  00 42 42.616  -01 40 06.42  23.5r 13RU156   W84  C~52RN      
2017 09  18.24978  00 42 42.619  -01 40 06.51  24.3g 13RU156   W84  C~52RN      
2017 10  22.15797  00 39 50.622  -01 55 52.67  23.3z 13RU156   W84  C~52RN      
2018 09  14.32489  00 49 50.188  -00 31 00.38  23.0i 13RU156   W84  C~52RN      
2018 11  08.17949  00 45 20.966  -00 54 39.31  23.1r 13RU156   W84  C~52RN      
2018 11  08.18087  00 45 20.962  -00 54 39.46  23.3i 13RU156   W84  C~52RN      
2018 11  27.08311  00 44 15.715  -00 58 04.04  24.3g 13RU156   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    -0.12       0.00     0.11
     2   0.0929      0.00    -0.02       0.00     0.05
     3   0.0929      0.00     0.08       0.00    -0.08
     4   1.1824      0.00     0.02       0.00    -0.01
     5   3.0005      0.00     0.09       0.00    -0.07
     6   3.0008      0.00     0.04       0.00    -0.21
     7   3.0008      0.00     0.12       0.00    -0.04
     8   3.1919      0.00    -0.00       0.00    -0.08
     9   3.1919      0.00    -0.03       0.00     0.22
    10   4.0247      0.00    -0.07       0.00     0.15
    11   4.0247      0.00    -0.04       0.00     0.04
    12   4.0247      0.00     0.11       0.00    -0.01
    13   4.1175      0.00    -0.10       0.00    -0.07
    14   5.0132      0.00     0.02       0.00    -0.12
    15   5.1634      0.00    -0.02       0.00     0.13
    16   5.1634      0.00     0.01       0.00    -0.00
    17   5.2152      0.00     0.01       0.00     0.03

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.

13RU156    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        57.206    57.206    57.207
ecceobj         0.382     0.382     0.382
incobj         11.567    11.567    11.567
qmin           34.206    34.274    34.193
qmax           79.822    80.614    79.931
amean          56.410    56.560    56.273
amin           55.466    55.402    55.399
amax           57.516    57.939    57.521
emean           0.377     0.377     0.376
emin            0.361     0.358     0.361
emax            0.393     0.394     0.395
imean          10.474    10.315    10.097
imin            9.689     9.222     9.051
imax           11.384    11.228    11.227
excite_mean     0.419     0.417     0.415
fracstop        1.000     1.000     1.000
cjmean          3.027     3.030     3.029

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       175.2     170.8     169.9
kozaiamp        180.0     180.0     180.0