Orbit Fit and Astrometric record for 13RJ158

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: 13RJ158   
# Created Thu Dec  9 02:11:51 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     24 observations of     24
# Arc:   5.23y
# First observation: 2013/09/01
#  Last observation: 2018/11/26
# Chi-squared of fit:     7.05 DOF:     42 RMS:  0.10
# Min/Max residuals:    -0.25    0.21
# Exact a, adot, b, bdot, g, gdot:
  2.007928E-05  3.319165E-02 -3.943578E-06 -6.882620E-03  2.739705E-02  1.027370E-02
# Covariance matrix:
  3.3110E-13 -1.0037E-13  5.0253E-15  1.3886E-14  2.6920E-13 -3.8466E-13
 -1.0037E-13  2.4373E-13  2.3127E-14 -5.2136E-14  1.2011E-13  1.6267E-12
  5.0253E-15  2.3127E-14  2.3534E-13 -6.1883E-14  4.3038E-14  1.6045E-13
  1.3886E-14 -5.2136E-14 -6.1883E-14  3.1700E-14 -1.5723E-14 -3.8099E-13
  2.6920E-13  1.2011E-13  4.3038E-14 -1.5723E-14  1.0073E-12  6.4733E-13
 -3.8466E-13  1.6267E-12  1.6045E-13 -3.8099E-13  6.4733E-13  1.1850E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   12.957244  -34.374723   -0.226052    0.220881   -0.959682  2456536.646108
# Heliocentric elements and errors
Epoch:              2456536.5000  =  2013/09/01
Mean Anomaly:            8.71876 +/-     0.007
Argument of Peri:       86.88586 +/-     0.011
Long of Asc Node:      192.48924 +/-     0.001
Inclination:            17.15128 +/-     0.000
Eccentricity:         0.62905718 +/-    0.0002
Semi-Major Axis:     89.41460777 +/-    0.0438
Time of Perihelion: 2449057.1622 +/-       7.9
Perihelion:          33.16770717 +/-    0.0228
Aphelion:           145.66150837 +/-    0.0732
Period (y)              845.5142 +/-      0.62
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           30.29951700 +/-    0.0011
Ecliptic Y          -20.44979612 +/-    0.0007
Ecliptic Z            8.18409668 +/-    0.0003
Ecliptic XDOT         0.00281964 +/-    0.0000
Ecliptic YDOT         0.00208460 +/-    0.0000
Ecliptic ZDOT        -0.00043994 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.45954968 +/-    0.0010
Geocenter to KBO     36.50010365 +/-    0.0013
# Hcoef:  6.91

The following table shows the complete astrometric record for 13RJ158. 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 (13RJ158) followed by the observatory code and reference code for the source of the astrometry.

2013 09  01.14533  21 34 12.946  -00 45 11.69  23.9g 13RJ158   W84  C~55Nc      
2013 09  03.174583 21 34 03.87   -00 46 19.1   24.1g 13RJ158   W84  C~55Nc      
2013 09  29.111389 21 32 25.58   -01 01 17.5   22.5r 13RJ158   W84  C~55Nc      
2013 09  29.129641 21 32 25.52   -01 01 18.1   22.3i 13RJ158   W84  C~55Nc      
2013 10  11.059734 21 31 55.97   -01 07 58.2   22.3z 13RJ158   W84  C~55Nc      
2013 10  12.010069 21 31 54.16   -01 08 28.7   21.9z 13RJ158   W84  C~55Nc      
2016 09  05.21464  21 56 14.872  -00 03 37.02  23.0r 13RJ158   W84  C~55Nc      
2016 09  07.151088 21 56 06.37   -00 04 41.4   23.2g 13RJ158   W84  C~55Nc      
2016 09  26.031933 21 54 51.72   -00 15 31.0   22.1r 13RJ158   W84  C~55Nc      
2016 09  26.033299 21 54 51.71   -00 15 31.0   21.8i 13RJ158   W84  C~55Nc      
2016 09  26.034664 21 54 51.70   -00 15 30.8   23.4g 13RJ158   W84  C~55Nc      
2016 09  28.029502 21 54 44.92   -00 16 39.7   22.1z 13RJ158   W84  C~55Nc      
2017 08  19.21370  22 04 41.535  +00 19 20.44  23.1r 13RJ158   W84  C~55Nc      
2017 09  27.07491  22 01 56.329  -00 01 50.28  22.8r 13RJ158   W84  C~55Nc      
2017 09  27.07628  22 01 56.320  -00 01 50.37  22.3i 13RJ158   W84  C~55Nc      
2017 09  27.07765  22 01 56.319  -00 01 50.34  22.9z 13RJ158   W84  C~55Nc      
2017 10  21.04619  22 00 52.809  -00 14 49.63  24.2g 13RJ158   W84  C~55Nc      
2017 10  21.04755  22 00 52.794  -00 14 49.62  23.1r 13RJ158   W84  C~55Nc      
2017 10  22.04361  22 00 51.144  -00 15 19.06  22.5i 13RJ158   W84  C~55Nc      
2017 10  26.03988  22 00 45.437  -00 17 13.43  22.1z 13RJ158   W84  C~55Nc      
2018 09  17.21635  22 09 33.402  +00 17 47.47  23.0r 13RJ158   W84  C~55Nc      
2018 09  17.21772  22 09 33.401  +00 17 47.35  22.6z 13RJ158   W84  C~55Nc      
2018 09  17.21909  22 09 33.387  +00 17 47.39  22.5i 13RJ158   W84  C~55Nc      
2018 11  26.03137  22 07 41.766  -00 14 09.60  22.6z 13RJ158   W84  C~55Nc      

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    -0.18       0.00    -0.07
     2   0.0056      0.00     0.11       0.00     0.13
     3   0.0766      0.00    -0.00       0.00    -0.02
     4   0.0766      0.00    -0.07       0.00     0.01
     5   0.1093      0.00    -0.01       0.00    -0.08
     6   0.1119      0.00     0.18       0.00     0.01
     7   3.0118      0.00     0.08       0.00    -0.25
     8   3.0171      0.00    -0.12       0.00     0.15
     9   3.0688      0.00     0.09       0.00    -0.09
    10   3.0688      0.00     0.01       0.00    -0.04
    11   3.0688      0.00    -0.07       0.00     0.21
    12   3.0743      0.00    -0.01       0.00     0.04
    13   3.9646      0.00     0.04       0.00     0.21
    14   4.0710      0.00    -0.02       0.00    -0.02
    15   4.0710      0.00    -0.08       0.00    -0.07
    16   4.0710      0.00    -0.02       0.00     0.01
    17   4.1366      0.00     0.14       0.00    -0.05
    18   4.1366      0.00    -0.05       0.00    -0.00
    19   4.1394      0.00    -0.07       0.00    -0.05
    20   4.1503      0.00     0.19       0.00     0.06
    21   5.0433      0.00    -0.00       0.00     0.03
    22   5.0433      0.00     0.07       0.00    -0.05
    23   5.0433      0.00    -0.06       0.00     0.04
    24   5.2345      0.00    -0.07       0.00    -0.06

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.

13RJ158    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        89.979    89.980    89.979
ecceobj         0.631     0.631     0.631
incobj         17.141    17.141    17.141
qmin           32.407    32.405    32.367
qmax          152.254   160.270   157.111
amean          89.620    91.395    91.032
amin           87.437    87.515    87.935
amax           92.907    97.332    95.447
emean           0.622     0.628     0.629
emin            0.604     0.604     0.607
emax            0.642     0.651     0.649
imean          18.291    18.520    18.097
imin           16.787    16.979    16.738
imax           19.943    20.159    19.833
excite_mean     0.697     0.704     0.702
fracstop        1.000     1.000     1.000
cjmean          2.899     2.899     2.899

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       192.3     188.9     184.2
kozaiamp        180.0     180.0     180.0