Orbit Fit and Astrometric record for 13RN158

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: 13RN158   
# Created Mon Dec  6 02:11:54 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     22 observations of     22
# Arc:   5.02y
# First observation: 2013/09/08
#  Last observation: 2018/09/17
# Chi-squared of fit:     6.69 DOF:     38 RMS:  0.10
# Min/Max residuals:    -0.18    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.884816E-05  4.049351E-02 -2.662647E-06 -5.321159E-03  3.232342E-02  5.739747E-03
# Covariance matrix:
  1.8767E-13 -4.1550E-14  3.4344E-15  1.7386E-15  1.5085E-13 -4.0556E-14
 -4.1550E-14  3.9260E-13  1.3945E-14 -5.2293E-14  3.0713E-13  2.1888E-12
  3.4344E-15  1.3945E-14  1.6285E-13 -4.0311E-14  3.2436E-14  7.7853E-14
  1.7386E-15 -5.2293E-14 -4.0311E-14  2.3263E-14 -3.4779E-14 -3.0507E-13
  1.5085E-13  3.0713E-13  3.2436E-14 -3.4779E-14  1.1613E-12  1.6471E-12
 -4.0556E-14  2.1888E-12  7.7853E-14 -3.0507E-13  1.6471E-12  1.2740E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   12.630485  -35.951538   -0.365778    0.205569   -0.917005  2456543.626993
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:           16.57960 +/-     0.009
Argument of Peri:       86.48011 +/-     0.019
Long of Asc Node:      202.64096 +/-     0.001
Inclination:            14.38570 +/-     0.000
Eccentricity:         0.34121267 +/-    0.0001
Semi-Major Axis:     46.15585642 +/-    0.0091
Time of Perihelion: 2451269.6505 +/-       3.3
Perihelion:          30.40689337 +/-    0.0079
Aphelion:            61.90481947 +/-    0.0133
Period (y)              313.5800 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           25.41370921 +/-    0.0008
Ecliptic Y          -17.97647890 +/-    0.0006
Ecliptic Z            6.76474646 +/-    0.0002
Ecliptic XDOT         0.00247131 +/-    0.0000
Ecliptic YDOT         0.00243900 +/-    0.0000
Ecliptic ZDOT        -0.00033336 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.85539610 +/-    0.0007
Geocenter to KBO     30.93727297 +/-    0.0010
# Hcoef:  8.10

The following table shows the complete astrometric record for 13RN158. 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 (13RN158) followed by the observatory code and reference code for the source of the astrometry.

2013 09  08.126215 21 28 49.41   -01 33 44.5   24.0g 13RN158   W84  C~55Nc      
2013 09  11.168924 21 28 34.62   -01 35 41.9   23.3r 13RN158   W84  C~55Nc      
2013 09  11.170301 21 28 34.61   -01 35 41.9   23.0i 13RN158   W84  C~55Nc      
2013 09  13.117488 21 28 25.45   -01 36 57.4   22.7i 13RN158   W84  C~55Nc      
2013 09  13.120289 21 28 25.44   -01 36 57.3   22.4z 13RN158   W84  C~55Nc      
2013 09  24.036169 21 27 39.08   -01 44 01.8   23.5g 13RN158   W84  C~55Nc      
2013 09  29.138137 21 27 20.69   -01 47 17.7   23.0r 13RN158   W84  C~55Nc      
2013 09  29.139537 21 27 20.68   -01 47 17.7   22.9i 13RN158   W84  C~55Nc      
2013 10  10.077211 21 26 49.63   -01 54 01.9   22.6r 13RN158   W84  C~55Nc      
2016 09  08.089213 21 55 47.04   -00 12 30.9   22.9i 13RN158   W84  C~55Nc      
2016 09  28.029502 21 54 15.18   -00 25 38.3   22.4z 13RN158   W84  C~55Nc      
2017 08  19.21370  22 06 21.126  +00 26 02.87  22.8r 13RN158   W84  C~55Nc      
2017 08  19.21508  22 06 21.137  +00 26 03.15  22.7g 13RN158   W84  C~55Nc      
2017 10  11.10580  22 02 12.990  -00 07 26.41  23.2r 13RN158   W84  C~55Nc      
2017 10  11.10717  22 02 12.981  -00 07 26.29  23.3i 13RN158   W84  C~55Nc      
2017 10  21.05167  22 01 47.782  -00 13 22.38  23.3i 13RN158   W84  C~55Nc      
2017 10  22.04361  22 01 45.836  -00 13 55.87  23.7i 13RN158   W84  C~55Nc      
2017 10  22.04773  22 01 45.817  -00 13 56.09  24.9g 13RN158   W84  C~55Nc      
2017 10  22.04910  22 01 45.817  -00 13 56.09  23.9r 13RN158   W84  C~55Nc      
2018 09  17.20809  22 12 27.296  +00 34 29.68  23.1z 13RN158   W84  C~55Nc      
2018 09  17.20946  22 12 27.291  +00 34 29.59  22.7i 13RN158   W84  C~55Nc      
2018 09  17.21084  22 12 27.281  +00 34 29.55  23.4r 13RN158   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     0.08
     2   0.0083      0.00     0.06       0.00    -0.10
     3   0.0083      0.00     0.01       0.00    -0.05
     4   0.0137      0.00    -0.09       0.00    -0.10
     5   0.0137      0.00    -0.04       0.00     0.11
     6   0.0436      0.00     0.01       0.00    -0.09
     7   0.0575      0.00    -0.01       0.00    -0.06
     8   0.0575      0.00    -0.09       0.00    -0.00
     9   0.0875      0.00     0.04       0.00     0.18
    10   3.0006      0.00    -0.14       0.00    -0.03
    11   3.0552      0.00    -0.09       0.00     0.09
    12   3.9455      0.00    -0.06       0.00    -0.11
    13   3.9455      0.00     0.22       0.00     0.22
    14   4.0903      0.00     0.13       0.00    -0.18
    15   4.0903      0.00     0.06       0.00    -0.01
    16   4.1175      0.00    -0.09       0.00     0.00
    17   4.1202      0.00     0.12       0.00     0.13
    18   4.1203      0.00    -0.04       0.00     0.05
    19   4.1203      0.00     0.00       0.00     0.09
    20   5.0242      0.00    -0.04       0.00    -0.04
    21   5.0242      0.00    -0.01       0.00    -0.07
    22   5.0242      0.00    -0.06       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.

13RN158    quality flag:2

Type:       CENTAURR  CENTAURR  CENTAURS

axisobj        46.273    46.273    46.273
ecceobj         0.343     0.343     0.343
incobj         14.386    14.386    14.386
qmin           28.748    28.698    29.577
qmax           64.866    64.531    64.590
amean          45.871    45.495    45.277
amin           41.178    42.243    40.255
amax           47.712    47.617    47.981
emean           0.338     0.324     0.307
emin            0.256     0.269     0.208
emax            0.367     0.364     0.355
imean          15.349    16.097    17.616
imin           13.563    13.535    14.416
imax           17.916    18.355    19.572
excite_mean     0.430     0.427     0.432
fracstop        0.298     0.872     1.000
cjmean          2.896     2.895     2.889

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       193.7     192.0     173.5
kozaiamp        179.9     179.8     180.0