Orbit Fit and Astrometric record for 13RM109

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: 13RM109   
# Created Fri Dec  3 02:11:48 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     28 observations of     28
# Arc:   6.94y
# First observation: 2013/09/03
#  Last observation: 2020/08/12
# Chi-squared of fit:     9.92 DOF:     50 RMS:  0.11
# Min/Max residuals:    -0.27    0.33
# Exact a, adot, b, bdot, g, gdot:
  1.544677E-05  2.307168E-02  2.085513E-06  2.479750E-03  2.330735E-02 -4.283291E-03
# Covariance matrix:
  1.3833E-13 -2.9532E-15  5.7167E-15  2.6908E-15  1.9724E-13  1.5087E-13
 -2.9532E-15  8.8368E-14  2.4379E-15  9.1467E-15  1.8662E-13  5.9822E-13
  5.7167E-15  2.4379E-15  9.2487E-14 -1.8332E-14  2.5033E-14  2.2224E-14
  2.6908E-15  9.1467E-15 -1.8332E-14  9.7986E-15  2.4682E-14  6.9365E-14
  1.9724E-13  1.8662E-13  2.5033E-14  2.4682E-14  1.0290E-12  1.5216E-12
  1.5087E-13  5.9822E-13  2.2224E-14  6.9365E-14  1.5216E-12  4.5179E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   13.283321  -34.372734   -0.259495    0.224311   -0.949803  2456538.675888
# Heliocentric elements and errors
Epoch:              2456538.5000  =  2013/09/03
Mean Anomaly:          317.71182 +/-     0.019
Argument of Peri:      128.86833 +/-     0.022
Long of Asc Node:      261.14421 +/-     0.001
Inclination:            14.29969 +/-     0.000
Eccentricity:         0.22260900 +/-    0.0002
Semi-Major Axis:     50.74867837 +/-    0.0114
Time of Perihelion: 2472049.9371 +/-      39.8
Perihelion:          39.45156581 +/-    0.0117
Aphelion:            62.04579093 +/-    0.0159
Period (y)              361.5308 +/-      0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.41764530 +/-    0.0015
Ecliptic Y          -23.90871403 +/-    0.0010
Ecliptic Z            9.85819731 +/-    0.0004
Ecliptic XDOT         0.00106449 +/-    0.0000
Ecliptic YDOT         0.00255007 +/-    0.0000
Ecliptic ZDOT         0.00016803 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.85465695 +/-    0.0013
Geocenter to KBO     42.90508825 +/-    0.0019
# Hcoef:  6.59

The following table shows the complete astrometric record for 13RM109. 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 (13RM109) followed by the observatory code and reference code for the source of the astrometry.

2013 09  03.17511  21 33 47.689  -00 26 40.60  24.2g 13RM109   W84  C~4yQp      
2013 09  10.189942 21 33 19.98   -00 29 40.7   23.2r 13RM109   W84  C~35bX      
2013 09  10.19047  21 33 19.965  -00 29 40.75  23.2r 13RM109   W84  C~4yQp      
2013 09  10.191331 21 33 19.98   -00 29 40.6   23.0i 13RM109   W84  C~35bX      
2013 09  10.19186  21 33 19.978  -00 29 40.59  22.9i 13RM109   W84  C~4yQp      
2013 09  11.158935 21 33 16.31   -00 30 05.8   21.9i 13RM109   W84  C~35bX      
2013 09  13.111632 21 33 09.02   -00 30 57.4   22.6i 13RM109   W84  C~35bX      
2013 09  13.11216  21 33 09.017  -00 30 57.38  22.7i 13RM109   W84  C~4yQp      
2013 09  13.123090 21 33 08.97   -00 30 57.6   22.3z 13RM109   W84  C~35bX      
2013 09  13.12362  21 33 08.971  -00 30 57.63  22.6z 13RM109   W84  C~4yQp      
2013 09  23.04418  21 32 34.775  -00 35 21.11  23.9g 13RM109   W84  C~4yQp      
2013 09  24.04102  21 32 31.665  -00 35 47.61  24.0g 13RM109   W84  C~4yQp      
2013 10  11.056944 21 31 47.89   -00 43 07.5   22.2z 13RM109   W84  C~35bX      
2013 10  12.010069 21 31 46.06   -00 43 31.2   22.2z 13RM109   W84  C~35bX      
2013 10  12.01059  21 31 46.067  -00 43 31.13  22.6z 13RM109   W84  C~4yQp      
2016 08  25.233102 21 48 59.40   +01 20 22.1   22.8r 13RM109   W84  C~35bX      
2016 08  25.23363  21 48 59.398  +01 20 22.13  22.7r 13RM109   W84  C~4yQp      
2016 09  08.090579 21 48 00.90   +01 14 28.9   22.4i 13RM109   W84  C~35bX      
2016 09  29.02101  21 46 45.647  +01 04 45.16  22.5z 13RM109   W84  C~4yQp      
2017 10  10.08736  21 51 10.737  +01 34 28.92  23.9g 13RM109   W84  C~4yQp      
2017 10  10.08873  21 51 10.747  +01 34 28.56  22.9r 13RM109   W84  C~4yQp      
2017 10  22.036215 21 50 47.27   +01 29 12.2   23.1r 13RM109   W84  C~35bX      
2017 10  22.03674  21 50 47.269  +01 29 12.27  23.2r 13RM109   W84  C~4yQp      
2017 10  22.037593 21 50 47.26   +01 29 12.2   22.7i 13RM109   W84  C~35bX      
2017 10  22.03812  21 50 47.267  +01 29 12.13  23.0i 13RM109   W84  C~4yQp      
2020 08  12.254740 22 10 02.376  +03 46 29.16  23.0G 13RM109   G37  C~441T      
2020 08  12.303790 22 10 02.173  +03 46 28.31        13RM109   G37  C~441T      
2020 08  12.401050 22 10 01.744  +03 46 26.45        13RM109   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     0.07       0.00    -0.06
     2   0.0192      0.00    -0.02       0.00    -0.05
     3   0.0192      0.00    -0.22       0.00    -0.09
     4   0.0192      0.00     0.06       0.00     0.08
     5   0.0192      0.00     0.06       0.00     0.11
     6   0.0219      0.00     0.08       0.00     0.20
     7   0.0272      0.00     0.06       0.00    -0.07
     8   0.0272      0.00     0.05       0.00    -0.04
     9   0.0272      0.00    -0.04       0.00     0.03
    10   0.0272      0.00     0.00       0.00     0.01
    11   0.0544      0.00    -0.17       0.00     0.08
    12   0.0571      0.00     0.33       0.00     0.09
    13   0.1037      0.00    -0.10       0.00     0.05
    14   0.1063      0.00    -0.05       0.00    -0.27
    15   0.1063      0.00     0.07       0.00    -0.18
    16   2.9762      0.00    -0.03       0.00    -0.01
    17   2.9762      0.00    -0.03       0.00     0.03
    18   3.0141      0.00    -0.06       0.00     0.02
    19   3.0714      0.00    -0.10       0.00     0.16
    20   4.1011      0.00    -0.09       0.00     0.24
    21   4.1011      0.00     0.11       0.00    -0.08
    22   4.1338      0.00     0.06       0.00    -0.05
    23   4.1338      0.00     0.06       0.00     0.03
    24   4.1338      0.00    -0.06       0.00    -0.02
    25   4.1338      0.00     0.06       0.00    -0.07
    26   6.9407      0.00    -0.11       0.00    -0.04
    27   6.9408      0.00     0.07       0.00     0.01
    28   6.9411      0.00     0.05       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.

13RM109    quality flag:3

Type:     11:5EEEEEE11:5EEEEEE11:5EEEEEE

axisobj        51.031    51.031    51.031
ecceobj         0.226     0.226     0.226
incobj         14.309    14.309    14.309
qmin           38.652    38.670    38.633
qmax           63.741    63.741    63.787
amean          50.931    50.931    50.931
amin           50.458    50.458    50.456
amax           51.505    51.505    51.505
emean           0.224     0.224     0.225
emin            0.208     0.209     0.208
emax            0.239     0.238     0.239
imean          15.720    15.726    15.715
imin           15.351    15.381    15.316
imax           16.253    16.237    16.273
excite_mean     0.352     0.352     0.352
fracstop        1.000     1.000     1.000
cjmean          3.031     3.031     3.031

libcent 0       182.4     182.5     178.7
libamp  0       102.1     103.4     100.3
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       203.4     201.8     205.0
kozaiamp        180.0     180.0     180.0