Orbit Fit and Astrometric record for 13RC156

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: 13RC156   
# Created Wed Dec  8 02:11:55 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     14 observations of     14
# Arc:   5.13y
# First observation: 2013/09/04
#  Last observation: 2018/10/21
# Chi-squared of fit:    11.42 DOF:     22 RMS:  0.16
# Min/Max residuals:    -0.23    0.31
# Exact a, adot, b, bdot, g, gdot:
  1.946328E-05  3.322394E-02  6.784530E-06  1.065885E-02  2.630369E-02 -6.496925E-03
# Covariance matrix:
  6.8239E-13 -3.5771E-13  8.2827E-14 -9.9262E-14  7.9643E-14 -1.3633E-12
 -3.5771E-13  3.8495E-13 -8.8368E-14  5.9238E-14  9.2759E-13  1.6257E-12
  8.2827E-14 -8.8368E-14  5.0755E-13 -1.6252E-13  1.3188E-13 -5.3625E-13
 -9.9262E-14  5.9238E-14 -1.6252E-13  1.2695E-13 -8.2470E-13  6.0621E-13
  7.9643E-14  9.2759E-13  1.3188E-13 -8.2470E-13  1.4593E-11  2.7525E-13
 -1.3633E-12  1.6257E-12 -5.3625E-13  6.0621E-13  2.7525E-13  8.9605E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -30.764923  -68.608506   -0.772947   -0.332158   -0.558114  2456539.539808
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:          358.32436 +/-     0.009
Argument of Peri:      319.87321 +/-     0.015
Long of Asc Node:      349.13553 +/-     0.001
Inclination:            35.01193 +/-     0.000
Eccentricity:         0.78065980 +/-    0.0007
Semi-Major Axis:    170.62033032 +/-    0.5940
Time of Perihelion: 2460329.4754 +/-    4231.1
Perihelion:          37.42389781 +/-    0.1802
Aphelion:           303.81676283 +/-    1.0650
Period (y)             2228.7141 +/-     11.64
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           12.87213254 +/-    0.0017
Ecliptic Y          -30.73713268 +/-    0.0044
Ecliptic Z          -19.44635742 +/-    0.0028
Ecliptic XDOT         0.00320878 +/-    0.0000
Ecliptic YDOT         0.00127286 +/-    0.0000
Ecliptic ZDOT         0.00129936 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.58282055 +/-    0.0038
Geocenter to KBO     38.01767840 +/-    0.0055
# Hcoef:  7.42

The following table shows the complete astrometric record for 13RC156. 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 (13RC156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  04.03903  20 02 16.732  -51 57 29.15  23.2r 13RC156   W84  C~52RL      
2013 09  11.05801  20 01 42.883  -51 53 24.00  22.6z 13RC156   W84  C~52RL      
2015 09  11.03122  20 23 02.950  -49 40 19.18  23.4r 13RC156   W84  C~52RL      
2015 09  11.03259  20 23 02.919  -49 40 19.34  23.6i 13RC156   W84  C~52RL      
2016 09  07.03297  20 33 24.452  -48 28 40.82  23.2i 13RC156   W84  C~52RL      
2016 09  22.99605  20 32 11.782  -48 19 56.00  23.0r 13RC156   W84  C~52RL      
2016 10  02.01054  20 31 45.039  -48 13 36.50  23.8r 13RC156   W84  C~52RL      
2016 10  02.01192  20 31 45.030  -48 13 36.50  23.8g 13RC156   W84  C~52RL      
2016 10  06.00254  20 31 36.873  -48 10 31.34  22.9z 13RC156   W84  C~52RL      
2017 10  16.07950  20 40 58.568  -46 46 37.10  23.4r 13RC156   W84  C~52RL      
2018 10  10.06073  20 50 17.597  -45 32 21.36  24.0r 13RC156   W84  C~52RL      
2018 10  10.06210  20 50 17.611  -45 32 21.30  22.4i 13RC156   W84  C~52RL      
2018 10  10.06346  20 50 17.603  -45 32 21.34  23.8g 13RC156   W84  C~52RL      
2018 10  21.02718  20 50 05.628  -45 23 27.77  22.5z 13RC156   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     0.20       0.00    -0.05
     2   0.0192      0.00     0.09       0.00    -0.12
     3   2.0178      0.00     0.19       0.00     0.06
     4   2.0178      0.00    -0.17       0.00    -0.14
     5   3.0089      0.00    -0.23       0.00    -0.07
     6   3.0526      0.00    -0.12       0.00     0.07
     7   3.0773      0.00    -0.12       0.00     0.08
     8   3.0773      0.00    -0.20       0.00     0.02
     9   3.0882      0.00    -0.14       0.00     0.25
    10   4.1151      0.00     0.29       0.00     0.31
    11   5.0979      0.00    -0.13       0.00    -0.06
    12   5.0979      0.00     0.13       0.00    -0.06
    13   5.0979      0.00     0.05       0.00    -0.16
    14   5.1280      0.00     0.19       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.

13RC156    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj       171.825   171.821   171.830
ecceobj         0.783     0.783     0.783
incobj         34.999    34.999    34.999
qmin           36.092    36.093    36.092
qmax          325.707   324.354   326.724
amean         172.984   172.012   173.399
amin          167.479   167.310   168.761
amax          181.713   180.953   182.118
emean           0.781     0.778     0.781
emin            0.770     0.769     0.771
emax            0.793     0.792     0.794
imean          36.163    36.377    36.168
imin           35.274    35.249    35.270
imax           37.118    37.324    37.133
excite_mean     0.979     0.978     0.979
fracstop        1.000     1.000     1.000
cjmean          2.591     2.591     2.591

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       338.1     283.6     338.4
kozaiamp         20.1     180.0     179.9