Orbit Fit and Astrometric record for 13RC109

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: 13RC109   
# Created Fri Dec  3 02:11:47 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     34 observations of     34
# Arc:   7.11y
# First observation: 2013/09/09
#  Last observation: 2020/10/20
# Chi-squared of fit:     9.10 DOF:     62 RMS:  0.09
# Min/Max residuals:    -0.19    0.27
# Exact a, adot, b, bdot, g, gdot:
  1.603236E-05  3.391748E-02  1.376898E-05  3.136866E-02  3.542734E-02  4.968476E-03
# Covariance matrix:
  2.7609E-13 -8.1158E-14  3.7030E-14 -5.4605E-14  1.9521E-13 -2.4624E-13
 -8.1158E-14  1.0019E-13 -5.5349E-14  8.4659E-14  1.8677E-15  3.8446E-13
  3.7030E-14 -5.5349E-14  1.0567E-13 -7.7090E-14 -4.9581E-15 -2.5593E-13
 -5.4605E-14  8.4659E-14 -7.7090E-14  1.0311E-13  1.0029E-14  3.9186E-13
  1.9521E-13  1.8677E-15 -4.9581E-15  1.0029E-14  2.3643E-13  4.7633E-14
 -2.4624E-13  3.8446E-13 -2.5593E-13  3.9186E-13  4.7633E-14  1.7799E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -11.004761   22.533032    0.593001   -0.155516   -0.800230  2456544.844459
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:           13.69524 +/-     0.004
Argument of Peri:      319.34492 +/-     0.006
Long of Asc Node:       32.83019 +/-     0.000
Inclination:            43.49128 +/-     0.000
Eccentricity:         0.27999388 +/-    0.0001
Semi-Major Axis:     39.49749765 +/-    0.0036
Time of Perihelion: 2453095.2882 +/-       1.0
Perihelion:          28.43843985 +/-    0.0035
Aphelion:            50.55655545 +/-    0.0052
Period (y)              248.2347 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           26.57231733 +/-    0.0004
Ecliptic Y           10.38563352 +/-    0.0001
Ecliptic Z           -5.38786909 +/-    0.0001
Ecliptic XDOT        -0.00023509 +/-    0.0000
Ecliptic YDOT         0.00274168 +/-    0.0000
Ecliptic ZDOT         0.00230646 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   29.03403839 +/-    0.0003
Geocenter to KBO     28.22675721 +/-    0.0004
# Hcoef:  8.17

The following table shows the complete astrometric record for 13RC109. 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 (13RC109) followed by the observatory code and reference code for the source of the astrometry.

2013 09  09.343681 01 39 38.45   -01 27 41.8   23.3g 13RC109   W84  C~35bW      
2013 09  09.34420  01 39 38.454  -01 27 41.88  23.6g 13RC109   W84  C~4yQo      
2013 10  26.14954  01 34 30.660  -01 47 13.53  23.5g 13RC109   W84  C~4yQo      
2013 10  26.14954  01 34 30.66   -01 47 13.5   23.6g 13RC109   W84  C~3cl7      
2013 11  08.22418  01 33 01.018  -01 50 13.43  22.5r 13RC109   W84  C~4yQo      
2013 11  08.22418  01 33 01.02   -01 50 13.4   22.7r 13RC109   W84  C~3cl7      
2013 11  08.22556  01 33 01.014  -01 50 13.45  22.8i 13RC109   W84  C~4yQo      
2013 11  08.22556  01 33 01.01   -01 50 13.5   22.9i 13RC109   W84  C~3cl7      
2013 11  23.18237  01 31 29.695  -01 51 11.44  22.8i 13RC109   W84  C~4yQo      
2013 11  23.18237  01 31 29.70   -01 51 11.4   22.7i 13RC109   W84  C~3cl7      
2013 11  23.18375  01 31 29.689  -01 51 11.57  22.3z 13RC109   W84  C~4yQo      
2013 11  23.18375  01 31 29.69   -01 51 11.6   22.3z 13RC109   W84  C~3cl7      
2014 08  18.36414  01 45 41.397  +01 02 07.83  22.4z 13RC109   W84  C~4yQo      
2014 10  03.32632  01 41 49.359  +00 44 42.40  23.3g 13RC109   W84  C~4yQo      
2014 10  03.32632  01 41 49.36   +00 44 42.4   23.4g 13RC109   W84  C~3cl7      
2014 10  29.25145  01 38 47.561  +00 35 07.12  23.3g 13RC109   W84  C~4yQo      
2014 10  29.25145  01 38 47.56   +00 35 07.1   23.3g 13RC109   W84  C~3cl7      
2014 10  29.25281  01 38 47.548  +00 35 07.04  22.9r 13RC109   W84  C~4yQo      
2014 10  29.25281  01 38 47.55   +00 35 07.0   23.0r 13RC109   W84  C~3cl7      
2014 11  17.13417  01 36 42.381  +00 31 19.48  22.7i 13RC109   W84  C~4yQo      
2014 11  17.13417  01 36 42.38   +00 31 19.5   22.7i 13RC109   W84  C~3cl7      
2014 11  17.13695  01 36 42.363  +00 31 19.46  23.2g 13RC109   W84  C~4yQo      
2014 11  17.13695  01 36 42.36   +00 31 19.5   23.5g 13RC109   W84  C~3cl7      
2014 11  18.08407  01 36 36.612  +00 31 14.06  22.5r 13RC109   W84  C~4yQo      
2014 11  18.08407  01 36 36.61   +00 31 14.1   22.5r 13RC109   W84  C~3cl7      
2014 11  21.03384  01 36 19.081  +00 31 01.26  22.7i 13RC109   W84  C~4yQo      
2014 11  21.03384  01 36 19.08   +00 31 01.3   22.7i 13RC109   W84  C~3cl7      
2014 11  27.11774  01 35 45.126  +00 30 55.23  21.8z 13RC109   W84  C~4yQo      
2014 11  28.11972  01 35 39.836  +00 30 56.86  22.5z 13RC109   W84  C~4yQo      
2015 09  04.32751  01 49 10.140  +03 17 20.71  22.3z 13RC109   W84  C~4yQo      
2015 09  04.32751  01 49 10.14   +03 17 20.7   22.4z 13RC109   W84  C~3cl7      
2015 11  06.195579 01 42 28.48   +02 54 45.0   22.6i 13RC109   W84  C~35bW      
2020 10  20.278220 02 07 00.202  +14 23 20.85  22.8G 13RC109   G37  C~4Kvu      
2020 10  20.331160 02 06 59.815  +14 23 19.80        13RC109   G37  C~4Kvu      

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    -0.19       0.00    -0.02
     2   0.0000      0.00    -0.09       0.00    -0.09
     3   0.1281      0.00     0.01       0.00     0.15
     4   0.1281      0.00     0.01       0.00     0.12
     5   0.1639      0.00    -0.08       0.00    -0.10
     6   0.1639      0.00    -0.05       0.00    -0.07
     7   0.1639      0.00    -0.00       0.00    -0.11
     8   0.1639      0.00    -0.06       0.00    -0.16
     9   0.2049      0.00     0.07       0.00     0.19
    10   0.2049      0.00    -0.01       0.00     0.15
    11   0.2049      0.00     0.04       0.00    -0.01
    12   0.2049      0.00     0.02       0.00     0.02
    13   0.9391      0.00     0.11       0.00     0.03
    14   1.0650      0.00     0.13       0.00     0.10
    15   1.0650      0.00     0.12       0.00     0.10
    16   1.1360      0.00     0.03       0.00     0.04
    17   1.1360      0.00     0.05       0.00     0.06
    18   1.1360      0.00     0.03       0.00    -0.04
    19   1.1360      0.00    -0.00       0.00    -0.00
    20   1.1877      0.00    -0.13       0.00     0.00
    21   1.1877      0.00    -0.11       0.00    -0.02
    22   1.1877      0.00    -0.17       0.00     0.02
    23   1.1877      0.00    -0.12       0.00    -0.02
    24   1.1903      0.00    -0.04       0.00     0.05
    25   1.1903      0.00    -0.01       0.00     0.01
    26   1.1983      0.00    -0.02       0.00     0.04
    27   1.1983      0.00    -0.01       0.00     0.00
    28   1.2150      0.00     0.27       0.00    -0.05
    29   1.2177      0.00     0.17       0.00    -0.16
    30   1.9849      0.00     0.07       0.00    -0.14
    31   1.9849      0.00     0.07       0.00    -0.13
    32   2.1570      0.00    -0.01       0.00     0.08
    33   7.1128      0.00     0.00       0.00     0.04
    34   7.1129      0.00    -0.07       0.00    -0.00

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.

13RC109    quality flag:3

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

axisobj        39.688    39.688    39.688
ecceobj         0.284     0.284     0.284
incobj         43.450    43.450    43.450
qmin           24.877    24.875    24.879
qmax           54.690    54.692    54.689
amean          39.453    39.453    39.453
amin           39.013    39.014    39.011
amax           40.026    40.028    40.022
emean           0.293     0.293     0.293
emin            0.202     0.202     0.202
emax            0.368     0.368     0.368
imean          42.667    42.668    42.666
imin           41.049    41.048    41.050
imax           44.308    44.313    44.301
excite_mean     0.740     0.740     0.740
fracstop        1.000     1.000     1.000
cjmean          2.370     2.370     2.370

libcent 0       179.9     179.9     179.9
libamp  0       104.5     104.5     104.5
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       262.7     262.8     262.7
kozaiamp         55.1      55.3      55.0