Orbit Fit and Astrometric record for 13RB109

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: 13RB109   
# Created Thu Dec  9 02:11:43 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     46 observations of     46
# Arc:   5.23y
# First observation: 2013/09/02
#  Last observation: 2018/11/27
# Chi-squared of fit:    17.63 DOF:     86 RMS:  0.11
# Min/Max residuals:    -0.57    0.41
# Exact a, adot, b, bdot, g, gdot:
  1.571773E-05  2.794498E-02 -6.481828E-06 -1.186079E-02  2.802856E-02 -1.542975E-03
# Covariance matrix:
  1.8064E-13 -4.0497E-14 -4.4368E-15  7.9053E-15  1.2100E-13 -1.4485E-13
 -4.0497E-14  7.0742E-14  1.4216E-14 -3.0392E-14  1.9852E-14  5.4910E-13
 -4.4368E-15  1.4216E-14  8.4807E-14 -2.9526E-14  4.4146E-15  1.2894E-13
  7.9053E-15 -3.0392E-14 -2.9526E-14  2.5497E-14 -1.1577E-14 -2.7598E-13
  1.2100E-13  1.9852E-14  4.4146E-15 -1.1577E-14  1.7838E-13  2.0643E-13
 -1.4485E-13  5.4910E-13  1.2894E-13 -2.7598E-13  2.0643E-13  4.9858E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.462718    2.085370    0.385586   -0.040031   -0.932731  2456537.772218
# Heliocentric elements and errors
Epoch:              2456538.5000  =  2013/09/03
Mean Anomaly:          328.90371 +/-     0.030
Argument of Peri:      224.56928 +/-     0.039
Long of Asc Node:      175.86311 +/-     0.000
Inclination:            23.16040 +/-     0.000
Eccentricity:         0.11005378 +/-    0.0001
Semi-Major Axis:     40.25533479 +/-    0.0027
Time of Perihelion: 2464596.7295 +/-      11.6
Perihelion:          35.82508287 +/-    0.0034
Aphelion:            44.68558671 +/-    0.0038
Period (y)              255.4132 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.56805948 +/-    0.0005
Ecliptic Y            0.94874835 +/-    0.0000
Ecliptic Z           -1.53329424 +/-    0.0000
Ecliptic XDOT        -0.00030575 +/-    0.0000
Ecliptic YDOT         0.00271949 +/-    0.0000
Ecliptic ZDOT        -0.00115089 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.61252375 +/-    0.0005
Geocenter to KBO     35.67795537 +/-    0.0005
# Hcoef:  7.51

The following table shows the complete astrometric record for 13RB109. 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 (13RB109) followed by the observatory code and reference code for the source of the astrometry.

2013 09  02.27144  00 11 34.212  -01 25 49.39  23.5g 13RB109   W84  C~4yQo      
2013 09  02.27144  00 11 34.21   -01 25 49.4   23.9g 13RB109   W84  C~3cl7      
2013 09  11.310995 00 10 52.60   -01 31 37.8   23.7g 13RB109   W84  C~35bW      
2013 09  11.31152  00 10 52.630  -01 31 37.75  23.6g 13RB109   W84  C~4yQo      
2013 09  28.08647  00 09 30.833  -01 42 37.92  23.8g 13RB109   W84  C~4yQo      
2013 10  13.13017  00 08 18.193  -01 52 05.38  22.9i 13RB109   W84  C~4yQo      
2013 10  13.13017  00 08 18.19   -01 52 05.4   23.0i 13RB109   W84  C~3cl7      
2013 10  13.13157  00 08 18.182  -01 52 05.50  22.4z 13RB109   W84  C~4yQo      
2013 10  13.13157  00 08 18.18   -01 52 05.5   22.8z 13RB109   W84  C~3cl7      
2013 11  08.15958  00 06 33.564  -02 05 28.03  23.3r 13RB109   W84  C~4yQo      
2013 11  08.15958  00 06 33.56   -02 05 28.0   23.3r 13RB109   W84  C~3cl7      
2013 11  22.11198  00 05 56.802  -02 10 14.25  22.9r 13RB109   W84  C~4yQo      
2013 11  22.11198  00 05 56.80   -02 10 14.3   22.9r 13RB109   W84  C~3cl7      
2013 11  22.112824 00 05 56.79   -02 10 14.0   22.8i 13RB109   W84  C~35bW      
2013 11  22.11335  00 05 56.797  -02 10 14.14  23.1i 13RB109   W84  C~4yQo      
2013 11  23.09986  00 05 54.844  -02 10 29.94  23.4i 13RB109   W84  C~4yQo      
2013 11  23.09986  00 05 54.84   -02 10 29.9   23.4i 13RB109   W84  C~3cl7      
2014 10  28.20119  00 14 10.481  -01 59 39.71  23.4r 13RB109   W84  C~4yQo      
2014 10  28.20119  00 14 10.48   -01 59 39.7   23.5r 13RB109   W84  C~3cl7      
2014 10  29.135486 00 14 06.69   -02 00 08.0   22.5z 13RB109   W84  C~35bW      
2014 10  29.13601  00 14 06.696  -02 00 08.08  22.5z 13RB109   W84  C~4yQo      
2016 09  09.172326 00 32 00.00   -01 27 52.2   23.0z 13RB109   W84  C~39od      
2016 09  09.173727 00 31 59.99   -01 27 52.1   23.0i 13RB109   W84  C~39od      
2016 09  09.34121  00 31 59.227  -01 27 58.83  23.0r 13RB109   W84  C~4yQo      
2016 09  09.34121  00 31 59.23   -01 27 58.8   23.1r 13RB109   W84  C~3cl7      
2016 09  09.342049 00 31 59.22   -01 27 58.8   23.5g 13RB109   W84  C~39od      
2016 09  09.34258  00 31 59.223  -01 27 58.78  23.3g 13RB109   W84  C~4yQo      
2016 10  01.19983  00 30 13.710  -01 42 25.54  23.0r 13RB109   W84  C~4yQo      
2016 10  01.19983  00 30 13.71   -01 42 25.5   23.0r 13RB109   W84  C~3cl7      
2016 10  01.20122  00 30 13.707  -01 42 25.37  23.0i 13RB109   W84  C~4yQo      
2016 10  01.20122  00 30 13.71   -01 42 25.3   23.1i 13RB109   W84  C~3cl7      
2016 10  01.20259  00 30 13.699  -01 42 25.47  23.7g 13RB109   W84  C~4yQo      
2016 10  01.20259  00 30 13.70   -01 42 25.4   23.8g 13RB109   W84  C~3cl7      
2016 11  08.17913  00 27 22.143  -02 03 28.50  22.9i 13RB109   W84  C~4yQo      
2016 11  08.17913  00 27 22.14   -02 03 28.5   23.0i 13RB109   W84  C~3cl7      
2016 11  18.07031  00 26 49.985  -02 07 05.91  22.9r 13RB109   W84  C~4yQo      
2016 11  18.07031  00 26 49.98   -02 07 05.9   23.0r 13RB109   W84  C~3cl7      
2016 11  18.07169  00 26 49.982  -02 07 05.86  23.9g 13RB109   W84  C~4yQo      
2016 11  18.07169  00 26 49.98   -02 07 05.8   24.3g 13RB109   W84  C~3cl7      
2017 10  22.19258  00 35 34.754  -01 54 08.59  21.5z 13RB109   W84  C~4yQo      
2018 09  09.34244  00 46 06.326  -01 25 31.43  22.9r 13RB109   W84  C~4yQo      
2018 09  09.34385  00 46 06.331  -01 25 31.50  23.0g 13RB109   W84  C~4yQo      
2018 10  19.14790  00 42 53.539  -01 51 13.55  22.6z 13RB109   W84  C~4yQo      
2018 11  08.17671  00 41 24.831  -02 01 23.06  22.9r 13RB109   W84  C~4yQo      
2018 11  08.17810  00 41 24.826  -02 01 23.08  22.7i 13RB109   W84  C~4yQo      
2018 11  27.08173  00 40 23.693  -02 07 35.17  23.7g 13RB109   W84  C~4yQo      

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     0.03       0.00    -0.04
     2   0.0000      0.00     0.06       0.00    -0.03
     3   0.0247      0.00    -0.57       0.00    -0.05
     4   0.0248      0.00    -0.08       0.00     0.02
     5   0.0707      0.00     0.41       0.00     0.17
     6   0.1119      0.00     0.07       0.00    -0.02
     7   0.1119      0.00     0.12       0.00     0.00
     8   0.1119      0.00     0.02       0.00    -0.07
     9   0.1119      0.00     0.05       0.00    -0.07
    10   0.1831      0.00     0.06       0.00     0.07
    11   0.1831      0.00     0.12       0.00     0.04
    12   0.2213      0.00    -0.04       0.00    -0.08
    13   0.2213      0.00    -0.01       0.00    -0.03
    14   0.2213      0.00    -0.17       0.00     0.24
    15   0.2213      0.00    -0.04       0.00     0.11
    16   0.2240      0.00    -0.04       0.00     0.03
    17   0.2240      0.00     0.02       0.00    -0.01
    18   1.1524      0.00     0.03       0.00    -0.13
    19   1.1524      0.00     0.04       0.00    -0.14
    20   1.1550      0.00    -0.09       0.00    -0.16
    21   1.1550      0.00     0.03       0.00    -0.23
    22   3.0196      0.00    -0.05       0.00    -0.05
    23   3.0196      0.00    -0.11       0.00     0.11
    24   3.0200      0.00     0.08       0.00    -0.02
    25   3.0200      0.00     0.04       0.00    -0.05
    26   3.0200      0.00    -0.01       0.00     0.02
    27   3.0200      0.00     0.07       0.00     0.06
    28   3.0799      0.00    -0.01       0.00    -0.10
    29   3.0799      0.00    -0.01       0.00    -0.14
    30   3.0799      0.00     0.10       0.00     0.16
    31   3.0799      0.00     0.05       0.00     0.09
    32   3.0799      0.00     0.05       0.00     0.11
    33   3.0799      0.00     0.04       0.00     0.04
    34   3.1839      0.00     0.01       0.00     0.12
    35   3.1839      0.00     0.06       0.00     0.12
    36   3.2109      0.00    -0.08       0.00    -0.00
    37   3.2109      0.00    -0.01       0.00    -0.01
    38   3.2110      0.00    -0.02       0.00     0.12
    39   3.2110      0.00     0.01       0.00     0.06
    40   4.1367      0.00    -0.01       0.00     0.14
    41   5.0187      0.00    -0.04       0.00    -0.06
    42   5.0187      0.00     0.13       0.00    -0.07
    43   5.1277      0.00    -0.09       0.00    -0.01
    44   5.1825      0.00     0.00       0.00    -0.05
    45   5.1825      0.00     0.01       0.00    -0.03
    46   5.2343      0.00    -0.03       0.00    -0.10

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.

13RB109    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.447    40.447    40.447
ecceobj         0.113     0.113     0.113
incobj         23.096    23.096    23.096
qmin           34.946    34.975    34.926
qmax           45.724    45.866    45.808
amean          40.220    40.253    40.251
amin           39.878    39.909    39.885
amax           40.623    40.621    40.637
emean           0.110     0.107     0.109
emin            0.095     0.095     0.091
emax            0.127     0.130     0.129
imean          22.984    23.060    23.032
imin           22.362    22.362    22.361
imax           23.680    23.657    23.747
excite_mean     0.406     0.406     0.406
fracstop        1.000     1.000     1.000
cjmean          2.864     2.864     2.864

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       181.2     190.2     180.7
kozaiamp        179.9     179.9     179.9