Orbit Fit and Astrometric record for 13RH109

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: 13RH109   
# Created Thu Dec  9 02:11:43 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     34 observations of     34
# Arc:   6.93y
# First observation: 2013/09/08
#  Last observation: 2020/08/12
# Chi-squared of fit:     9.01 DOF:     62 RMS:  0.09
# Min/Max residuals:    -0.16    0.28
# Exact a, adot, b, bdot, g, gdot:
  1.430914E-05  2.532630E-02 -3.150472E-06 -3.617836E-03  2.633176E-02 -7.357293E-04
# Covariance matrix:
  1.3478E-13 -3.2740E-14  1.9910E-15  9.9416E-16  1.0982E-13 -4.1080E-14
 -3.2740E-14  6.8865E-14  8.4856E-15 -9.0181E-15  1.5040E-13  4.2548E-13
  1.9910E-15  8.4856E-15  1.0663E-13 -2.4815E-14  3.6783E-14  6.3056E-14
  9.9416E-16 -9.0181E-15 -2.4815E-14  1.0251E-14 -2.4477E-14 -6.4319E-14
  1.0982E-13  1.5040E-13  3.6783E-14 -2.4477E-14  1.0022E-12  1.1822E-12
 -4.1080E-14  4.2548E-13  6.3056E-14 -6.4319E-14  1.1822E-12  3.0396E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   12.678697  -32.014725   -0.299740    0.211409   -0.939375  2456543.587155
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:          198.31973 +/-     0.071
Argument of Peri:      287.27693 +/-     0.062
Long of Asc Node:      204.43193 +/-     0.001
Inclination:            14.81623 +/-     0.000
Eccentricity:         0.07491649 +/-    0.0001
Semi-Major Axis:     36.31560641 +/-    0.0046
Time of Perihelion: 2492444.3725 +/-      17.9
Perihelion:          33.59496882 +/-    0.0053
Aphelion:            39.03624399 +/-    0.0058
Period (y)              218.8508 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.39128571 +/-    0.0012
Ecliptic Y          -19.89545596 +/-    0.0008
Ecliptic Z            8.33519646 +/-    0.0003
Ecliptic XDOT         0.00139656 +/-    0.0000
Ecliptic YDOT         0.00222747 +/-    0.0000
Ecliptic ZDOT        -0.00038364 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.91659098 +/-    0.0011
Geocenter to KBO     37.97700675 +/-    0.0014
# Hcoef:  7.48

The following table shows the complete astrometric record for 13RH109. 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 (13RH109) followed by the observatory code and reference code for the source of the astrometry.

2013 09  08.086377 21 43 16.01   -00 14 59.8   23.4g 13RH109   W84  C~35bW      
2013 09  08.08691  21 43 16.019  -00 15 00.09  23.5g 13RH109   W84  C~4yQp      
2013 09  10.19465  21 43 06.716  -00 16 09.49  23.5r 13RH109   W84  C~4yQp      
2013 09  10.19603  21 43 06.711  -00 16 09.54  23.4i 13RH109   W84  C~4yQp      
2013 09  11.20192  21 43 02.349  -00 16 42.98  23.1r 13RH109   W84  C~4yQp      
2013 09  11.20192  21 43 02.35   -00 16 43.0   23.2r 13RH109   W84  C~3cl8      
2013 09  13.13762  21 42 54.08   -00 17 47.4   23.2i 13RH109   W84  C~3cl8      
2013 09  23.04281  21 42 14.797  -00 23 20.44  23.6g 13RH109   W84  C~4yQp      
2013 09  24.04249  21 42 11.141  -00 23 54.22  23.7g 13RH109   W84  C~4yQp      
2013 09  24.04249  21 42 11.14   -00 23 54.2   23.7g 13RH109   W84  C~3cl8      
2013 10  10.08069  21 41 22.005  -00 32 41.88  23.4r 13RH109   W84  C~4yQp      
2013 10  10.08069  21 41 22.01   -00 32 41.9   23.6r 13RH109   W84  C~3cl8      
2016 08  31.25033  22 01 05.322  +00 42 02.43  23.7i 13RH109   W84  C~4yQp      
2016 09  03.22048  22 00 51.270  +00 40 27.20  23.4r 13RH109   W84  C~4yQp      
2016 09  03.22048  22 00 51.27   +00 40 27.2   23.5r 13RH109   W84  C~3cl8      
2016 09  03.22185  22 00 51.252  +00 40 27.12  23.4g 13RH109   W84  C~4yQp      
2016 09  03.22185  22 00 51.25   +00 40 27.1   23.5g 13RH109   W84  C~3cl8      
2016 09  26.07986  21 59 13.153  +00 27 32.56  23.2i 13RH109   W84  C~4yQp      
2016 09  26.07986  21 59 13.15   +00 27 32.6   23.4i 13RH109   W84  C~3cl8      
2016 09  26.08124  21 59 13.138  +00 27 32.49  23.2r 13RH109   W84  C~4yQp      
2016 09  26.08124  21 59 13.14   +00 27 32.5   23.4r 13RH109   W84  C~3cl8      
2016 09  26.08262  21 59 13.141  +00 27 32.37  23.7g 13RH109   W84  C~4yQp      
2016 09  26.08262  21 59 13.14   +00 27 32.4   23.7g 13RH109   W84  C~3cl8      
2017 10  11.12569  22 04 08.413  +00 36 44.79  23.7r 13RH109   W84  C~4yQp      
2017 10  11.12706  22 04 08.414  +00 36 44.70  23.2i 13RH109   W84  C~4yQp      
2017 10  11.12843  22 04 08.403  +00 36 44.69  24.0g 13RH109   W84  C~4yQp      
2017 10  21.04892  22 03 44.391  +00 31 29.45  23.7i 13RH109   W84  C~4yQp      
2017 10  22.045833 22 03 42.44   +00 30 59.6   23.0r 13RH109   W84  C~35bW      
2017 10  22.04636  22 03 42.446  +00 30 59.57  22.8r 13RH109   W84  C~4yQp      
2018 09  17.20946  22 11 22.551  +01 08 12.88  23.2i 13RH109   W84  C~4yQp      
2018 09  17.21084  22 11 22.546  +01 08 12.76  23.4r 13RH109   W84  C~4yQp      
2020 08  12.264330 22 25 46.256  +02 01 47.31  23.1G 13RH109   G37  C~441T      
2020 08  12.313420 22 25 46.022  +02 01 46.01        13RH109   G37  C~441T      
2020 08  12.403910 22 25 45.598  +02 01 43.86        13RH109   G37  C~441T      

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     0.25
     2   0.0000      0.00     0.28       0.00    -0.02
     3   0.0058      0.00    -0.01       0.00     0.05
     4   0.0058      0.00     0.00       0.00     0.05
     5   0.0085      0.00     0.01       0.00    -0.07
     6   0.0085      0.00    -0.01       0.00    -0.05
     7   0.0138      0.00    -0.15       0.00    -0.01
     8   0.0409      0.00    -0.03       0.00     0.03
     9   0.0437      0.00    -0.06       0.00    -0.07
    10   0.0437      0.00    -0.05       0.00    -0.09
    11   0.0876      0.00     0.04       0.00    -0.07
    12   0.0876      0.00    -0.04       0.00    -0.05
    13   2.9792      0.00    -0.01       0.00     0.01
    14   2.9874      0.00     0.10       0.00    -0.11
    15   2.9874      0.00     0.10       0.00    -0.11
    16   2.9874      0.00    -0.10       0.00    -0.16
    17   2.9874      0.00    -0.07       0.00    -0.14
    18   3.0499      0.00     0.04       0.00     0.12
    19   3.0499      0.00     0.08       0.00     0.08
    20   3.0500      0.00    -0.03       0.00     0.07
    21   3.0500      0.00    -0.06       0.00     0.06
    22   3.0500      0.00     0.05       0.00     0.02
    23   3.0500      0.00     0.06       0.00    -0.01
    24   4.0905      0.00     0.04       0.00     0.05
    25   4.0905      0.00     0.11       0.00     0.00
    26   4.0905      0.00     0.01       0.00     0.04
    27   4.1176      0.00    -0.14       0.00    -0.09
    28   4.1204      0.00    -0.15       0.00     0.21
    29   4.1204      0.00    -0.05       0.00     0.19
    30   5.0243      0.00     0.01       0.00     0.09
    31   5.0243      0.00     0.02       0.00     0.02
    32   6.9272      0.00     0.04       0.00    -0.02
    33   6.9274      0.00    -0.02       0.00    -0.13
    34   6.9276      0.00     0.00       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.

13RH109    quality flag:3

Type:           4:3E      4:3E      4:3E

axisobj        36.426    36.426    36.426
ecceobj         0.071     0.071     0.071
incobj         14.806    14.806    14.806
qmin           31.962    31.961    31.962
qmax           41.271    41.271    41.271
amean          36.479    36.479    36.479
amin           36.176    36.176    36.176
amax           36.792    36.792    36.792
emean           0.086     0.086     0.086
emin            0.055     0.055     0.055
emax            0.122     0.122     0.122
imean          16.086    16.086    16.086
imin           14.518    14.518    14.518
imax           17.832    17.832    17.832
excite_mean     0.291     0.291     0.291
fracstop        1.000     1.000     1.000
cjmean          2.933     2.933     2.933

libcent 0       181.3     181.3     181.3
libamp  0        53.7      53.7      53.7
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       180.3     180.3     180.3
kozaiamp        179.9     180.0     179.9