Orbit Fit and Astrometric record for 13RN109

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: 13RN109   
# Created Fri Dec  3 02:11:48 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     42 observations of     42
# Arc:   5.10y
# First observation: 2013/09/10
#  Last observation: 2018/10/18
# Chi-squared of fit:    12.80 DOF:     78 RMS:  0.10
# Min/Max residuals:    -0.22    0.24
# Exact a, adot, b, bdot, g, gdot:
  1.469494E-05  2.632537E-02  1.002032E-05  1.612287E-02  2.795640E-02 -2.087948E-03
# Covariance matrix:
  1.8519E-13 -3.4817E-14 -2.7290E-15  2.2355E-15  1.1389E-13  2.8232E-14
 -3.4817E-14  9.0124E-14 -2.7297E-14  5.4535E-14  6.2480E-14  7.6071E-13
 -2.7290E-15 -2.7297E-14  1.1301E-13 -4.9604E-14 -2.8555E-14 -2.7378E-13
  2.2355E-15  5.4535E-14 -4.9604E-14  5.2125E-14  5.2415E-14  5.4397E-13
  1.1389E-13  6.2480E-14 -2.8555E-14  5.2415E-14  2.2042E-13  7.2688E-13
  2.8232E-14  7.6071E-13 -2.7378E-13  5.4397E-13  7.2688E-13  7.5852E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -8.054130    8.925864    0.368611   -0.131313   -0.928702  2456545.844418
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:          335.78505 +/-     0.022
Argument of Peri:       18.40306 +/-     0.031
Long of Asc Node:       20.94473 +/-     0.000
Inclination:            32.29739 +/-     0.000
Eccentricity:         0.15784805 +/-    0.0001
Semi-Major Axis:     42.60945860 +/-    0.0033
Time of Perihelion: 2463379.9268 +/-      12.7
Perihelion:          35.88363858 +/-    0.0042
Aphelion:            49.33527861 +/-    0.0050
Period (y)              278.1424 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.97169390 +/-    0.0006
Ecliptic Y            5.27957355 +/-    0.0001
Ecliptic Z           -5.01135064 +/-    0.0001
Ecliptic XDOT        -0.00038765 +/-    0.0000
Ecliptic YDOT         0.00254865 +/-    0.0000
Ecliptic ZDOT         0.00159217 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.70086892 +/-    0.0006
Geocenter to KBO     35.77005217 +/-    0.0006
# Hcoef:  7.49

The following table shows the complete astrometric record for 13RN109. 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 (13RN109) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.34364  00 45 28.596  -03 52 00.64  23.9g 13RN109   W84  C~4yQp      
2013 09  10.34364  00 45 28.60   -03 52 00.7   24.1g 13RN109   W84  C~3cl8      
2013 10  03.11541  00 43 29.498  -04 01 52.59  24.3g 13RN109   W84  C~4yQp      
2013 10  04.15874  00 43 23.837  -04 02 17.80  23.9g 13RN109   W84  C~4yQp      
2013 10  13.22535  00 42 34.690  -04 05 44.85  22.9i 13RN109   W84  C~4yQp      
2013 10  13.22535  00 42 34.69   -04 05 44.9   23.1i 13RN109   W84  C~3cl8      
2013 10  13.22672  00 42 34.682  -04 05 44.98  22.9z 13RN109   W84  C~4yQp      
2013 11  08.15030  00 40 26.389  -04 12 27.51  23.4r 13RN109   W84  C~4yQp      
2013 11  08.15030  00 40 26.39   -04 12 27.5   23.4r 13RN109   W84  C~3cl8      
2013 11  23.13775  00 39 29.548  -04 13 26.87  22.8i 13RN109   W84  C~4yQp      
2013 11  23.13775  00 39 29.55   -04 13 26.9   22.8i 13RN109   W84  C~3cl8      
2014 11  15.08792  00 44 03.275  -02 47 04.47  22.8i 13RN109   W84  C~4yQp      
2014 11  15.08792  00 44 03.28   -02 47 04.5   23.0i 13RN109   W84  C~3cl8      
2014 11  17.053877 00 43 55.63   -02 47 15.6   22.8z 13RN109   W84  C~35bX      
2014 11  17.05440  00 43 55.644  -02 47 15.74  23.1z 13RN109   W84  C~4yQp      
2014 11  21.100185 00 43 40.83   -02 47 31.2   22.3z 13RN109   W84  C~35bX      
2014 11  21.10071  00 43 40.850  -02 47 31.24  22.6z 13RN109   W84  C~4yQp      
2015 09  04.29719  00 54 11.008  -00 55 27.91  22.5z 13RN109   W84  C~4yQp      
2015 09  04.29857  00 54 10.995  -00 55 27.90  22.9i 13RN109   W84  C~4yQp      
2015 09  04.29857  00 54 11.00   -00 55 27.9   23.0i 13RN109   W84  C~3cl8      
2016 08  30.35404  00 58 35.262  +00 33 24.33  24.2g 13RN109   W84  C~4yQp      
2016 11  05.17275  00 52 54.521  +00 08 27.73  23.6r 13RN109   W84  C~4yQp      
2016 11  05.17275  00 52 54.52   +00 08 27.8   23.3r 13RN109   W84  C~3cl8      
2016 11  05.19660  00 52 54.417  +00 08 27.36  22.7i 13RN109   W84  C~4yQp      
2016 11  05.19660  00 52 54.42   +00 08 27.4   22.8i 13RN109   W84  C~3cl8      
2016 11  06.19836  00 52 49.718  +00 08 12.96  22.6i 13RN109   W84  C~4yQp      
2016 11  06.19836  00 52 49.72   +00 08 13.0   22.8i 13RN109   W84  C~3cl8      
2016 11  06.19973  00 52 49.717  +00 08 13.05  23.9g 13RN109   W84  C~4yQp      
2016 11  18.07996  00 51 58.837  +00 06 01.74  22.8r 13RN109   W84  C~4yQp      
2016 11  18.07996  00 51 58.84   +00 06 01.7   23.0r 13RN109   W84  C~3cl8      
2016 11  18.13249  00 51 58.628  +00 06 01.43  22.6z 13RN109   W84  C~4yQp      
2017 08  22.33695  01 03 13.405  +02 03 27.72  23.7r 13RN109   W84  C~4yQp      
2017 08  22.337789 01 03 13.41   +02 03 27.6   23.1i 13RN109   W84  C~35bX      
2017 08  22.33832  01 03 13.423  +02 03 27.53  22.8i 13RN109   W84  C~4yQp      
2017 08  22.33969  01 03 13.401  +02 03 27.66  24.4g 13RN109   W84  C~4yQp      
2017 09  18.286782 01 01 16.44   +01 53 58.2   22.3r 13RN109   W84  C~35bX      
2017 09  27.237199 01 00 29.69   +01 50 19.7   23.0z 13RN109   W84  C~35bX      
2017 09  27.23772  01 00 29.681  +01 50 19.74  22.8z 13RN109   W84  C~4yQp      
2017 10  22.162951 00 58 13.94   +01 40 34.0   22.2z 13RN109   W84  C~35bX      
2017 10  22.16347  00 58 13.936  +01 40 33.95  22.3z 13RN109   W84  C~4yQp      
2018 09  21.28671  01 05 11.955  +03 21 02.86  22.1z 13RN109   W84  C~4yQp      
2018 10  18.20031  01 02 46.002  +03 10 22.05  22.4z 13RN109   W84  C~4yQp      

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    -0.15
     2   0.0000      0.00     0.05       0.00    -0.09
     3   0.0623      0.00    -0.12       0.00     0.15
     4   0.0652      0.00     0.14       0.00     0.24
     5   0.0900      0.00    -0.01       0.00    -0.02
     6   0.0900      0.00    -0.01       0.00    -0.07
     7   0.0900      0.00    -0.02       0.00    -0.12
     8   0.1610      0.00     0.02       0.00     0.11
     9   0.1610      0.00     0.01       0.00     0.10
    10   0.2020      0.00     0.02       0.00    -0.16
    11   0.2020      0.00    -0.01       0.00    -0.13
    12   1.1793      0.00     0.02       0.00    -0.02
    13   1.1793      0.00    -0.06       0.00     0.01
    14   1.1847      0.00    -0.22       0.00     0.14
    15   1.1847      0.00     0.02       0.00     0.01
    16   1.1958      0.00    -0.16       0.00     0.05
    17   1.1958      0.00     0.17       0.00     0.01
    18   1.9821      0.00     0.03       0.00     0.03
    19   1.9821      0.00     0.00       0.00     0.07
    20   1.9821      0.00    -0.07       0.00     0.07
    21   2.9706      0.00    -0.00       0.00     0.20
    22   3.1535      0.00    -0.02       0.00    -0.01
    23   3.1535      0.00    -0.01       0.00    -0.08
    24   3.1536      0.00     0.19       0.00    -0.06
    25   3.1536      0.00     0.15       0.00    -0.10
    26   3.1563      0.00     0.02       0.00    -0.06
    27   3.1563      0.00    -0.01       0.00    -0.10
    28   3.1563      0.00     0.07       0.00     0.01
    29   3.1889      0.00     0.02       0.00    -0.09
    30   3.1889      0.00    -0.03       0.00    -0.05
    31   3.1890      0.00    -0.04       0.00     0.05
    32   3.9480      0.00    -0.18       0.00     0.09
    33   3.9480      0.00    -0.06       0.00    -0.01
    34   3.9480      0.00     0.16       0.00    -0.07
    35   3.9480      0.00    -0.10       0.00     0.08
    36   4.0217      0.00    -0.22       0.00    -0.05
    37   4.0463      0.00     0.17       0.00     0.03
    38   4.0463      0.00     0.07       0.00     0.08
    39   4.1145      0.00     0.04       0.00    -0.05
    40   4.1145      0.00     0.02       0.00    -0.09
    41   5.0293      0.00    -0.04       0.00    -0.08
    42   5.1030      0.00     0.11       0.00     0.19

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.

13RN109    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        42.816    42.816    42.816
ecceobj         0.161     0.161     0.161
incobj         32.232    32.232    32.232
qmin           34.480    34.483    34.519
qmax           51.013    51.031    51.048
amean          42.582    42.583    42.582
amin           42.229    42.213    42.223
amax           42.987    42.995    42.998
emean           0.167     0.167     0.167
emin            0.145     0.145     0.145
emax            0.187     0.188     0.188
imean          31.925    31.927    31.925
imin           31.461    31.477    31.466
imax           32.368    32.380    32.392
excite_mean     0.555     0.555     0.555
fracstop        1.000     1.000     1.000
cjmean          2.697     2.697     2.697

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       174.1     173.9     174.2
kozaiamp        180.0     180.0     180.0