Orbit Fit and Astrometric record for 13RF156

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: 13RF156   
# Created Sat Nov 27 02:11:56 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting      9 observations of      9
# Arc:   5.02y
# First observation: 2013/09/08
#  Last observation: 2018/09/17
# Chi-squared of fit:     3.19 DOF:     12 RMS:  0.11
# Min/Max residuals:    -0.17    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.211292E-05  1.785047E-02 -5.772207E-07 -1.095821E-04  2.187288E-02  3.287390E-03
# Covariance matrix:
  6.4321E-13  6.9475E-14  1.7122E-14 -2.4037E-16  8.7892E-13  1.9430E-12
  6.9475E-14  9.9154E-13  3.3815E-14 -6.5385E-15  1.8913E-12  1.1458E-11
  1.7122E-14  3.3815E-14  4.1713E-13 -1.0427E-13  9.7151E-14  4.0008E-13
 -2.4037E-16 -6.5385E-15 -1.0427E-13  4.3628E-14 -1.0447E-14 -7.9787E-14
  8.7892E-13  1.8913E-12  9.7151E-14 -1.0447E-14  5.2200E-12  2.2439E-11
  1.9430E-12  1.1458E-11  4.0008E-13 -7.9787E-14  2.2439E-11  1.3862E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    6.732343  -17.807898   -0.055481    0.118122   -0.999953  2456543.657848
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:          126.55857 +/-     0.085
Argument of Peri:      306.62047 +/-     0.078
Long of Asc Node:      249.52901 +/-     0.006
Inclination:             6.59513 +/-     0.000
Eccentricity:         0.25814264 +/-    0.0004
Semi-Major Axis:     39.32922952 +/-    0.0069
Time of Perihelion: 2424873.5830 +/-      22.8
Perihelion:          29.17667843 +/-    0.0160
Aphelion:            49.48178061 +/-    0.0174
Period (y)              246.6501 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           44.20359274 +/-    0.0045
Ecliptic Y          -14.13770574 +/-    0.0015
Ecliptic Z            5.35963684 +/-    0.0006
Ecliptic XDOT         0.00106775 +/-    0.0000
Ecliptic YDOT         0.00200070 +/-    0.0000
Ecliptic ZDOT         0.00003476 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   46.71774807 +/-    0.0043
Geocenter to KBO     45.71865511 +/-    0.0048
# Hcoef:  7.08

The following table shows the complete astrometric record for 13RF156. 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 (13RF156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  08.15707  22 44 03.665  -00 45 33.98  23.4g 13RF156   W84  C~52RL      
2013 09  13.17758  22 43 43.200  -00 47 45.70  23.7i 13RF156   W84  C~52RL      
2013 10  10.11083  22 42 04.792  -00 59 30.10  23.8r 13RF156   W84  C~52RL      
2015 11  03.04692  22 48 36.282  -00 22 58.34  24.4g 13RF156   W84  C~52RL      
2015 11  08.02913  22 48 28.480  -00 24 28.75  24.5r 13RF156   W84  C~52RL      
2016 09  26.11839  22 54 06.489  +00 14 17.11  23.7r 13RF156   W84  C~52RL      
2017 11  08.03806  22 55 49.486  +00 19 49.77  23.4r 13RF156   W84  C~52RL      
2018 09  17.24249  23 02 06.559  +01 03 02.82  23.4r 13RF156   W84  C~52RL      
2018 09  17.24524  23 02 06.551  +01 03 02.62  24.6g 13RF156   W84  C~52RL      

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     0.11       0.00     0.16
     2   0.0137      0.00    -0.01       0.00    -0.08
     3   0.0875      0.00    -0.04       0.00    -0.13
     4   2.1516      0.00     0.01       0.00     0.11
     5   2.1653      0.00     0.00       0.00    -0.11
     6   3.0499      0.00    -0.12       0.00     0.07
     7   4.1667      0.00     0.02       0.00     0.22
     8   5.0242      0.00     0.01       0.00    -0.04
     9   5.0242      0.00     0.06       0.00    -0.17

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.

13RF156    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.475    39.475    39.475
ecceobj         0.254     0.254     0.254
incobj          6.600     6.600     6.600
qmin           28.768    28.767    28.768
qmax           50.680    50.680    50.680
amean          39.456    39.456    39.456
amin           39.004    39.004    39.004
amax           39.974    39.974    39.974
emean           0.223     0.223     0.223
emin            0.182     0.182     0.182
emax            0.269     0.269     0.269
imean          10.864    10.865    10.863
imin            7.888     7.888     7.888
imax           12.486    12.486    12.485
excite_mean     0.293     0.293     0.293
fracstop        1.000     1.000     1.000
cjmean          2.954     2.954     2.954

libcent 0       179.9     179.9     179.9
libamp  0        85.5      85.5      85.4
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       211.6     211.6     211.6
kozaiamp        179.9     179.9     179.9