Orbit Fit and Astrometric record for 13RQ109

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: 13RQ109   
# Created Sat Dec  4 02:11:50 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     44 observations of     44
# Arc:   5.21y
# First observation: 2013/09/12
#  Last observation: 2018/11/28
# Chi-squared of fit:     8.70 DOF:     82 RMS:  0.08
# Min/Max residuals:    -0.20    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.849441E-05  3.868731E-02  2.406925E-06  6.343294E-03  3.276595E-02 -1.805965E-03
# Covariance matrix:
  1.9156E-13 -1.5475E-13  1.6920E-14 -2.1299E-14 -7.7134E-14 -6.3090E-13
 -1.5475E-13  2.6749E-13 -3.2271E-14  4.0863E-14  2.6336E-13  1.2170E-12
  1.6920E-14 -3.2271E-14  1.1504E-13 -3.6033E-14 -3.0178E-14 -1.5625E-13
 -2.1299E-14  4.0863E-14 -3.6033E-14  1.8761E-14  3.8524E-14  1.9760E-13
 -7.7134E-14  2.6336E-13 -3.0178E-14  3.8524E-14  3.9710E-13  1.1559E-12
 -6.3090E-13  1.2170E-12 -1.5625E-13  1.9760E-13  1.1559E-12  5.8783E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -11.671298   20.762151    0.523301   -0.173976   -0.842751  2456547.888018
# Heliocentric elements and errors
Epoch:              2456548.5000  =  2013/09/13
Mean Anomaly:          339.58737 +/-     0.015
Argument of Peri:      336.19079 +/-     0.021
Long of Asc Node:       70.58636 +/-     0.000
Inclination:            14.52472 +/-     0.000
Eccentricity:         0.15405751 +/-    0.0001
Semi-Major Axis:     36.50500148 +/-    0.0027
Time of Perihelion: 2461116.4722 +/-       9.1
Perihelion:          30.88113199 +/-    0.0032
Aphelion:            42.12887097 +/-    0.0038
Period (y)              220.5651 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           28.93717079 +/-    0.0005
Ecliptic Y           10.41387516 +/-    0.0002
Ecliptic Z           -6.17395029 +/-    0.0001
Ecliptic XDOT        -0.00119003 +/-    0.0000
Ecliptic YDOT         0.00300714 +/-    0.0000
Ecliptic ZDOT         0.00054974 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.36763616 +/-    0.0005
Geocenter to KBO     30.51953943 +/-    0.0006
# Hcoef:  7.82

The following table shows the complete astrometric record for 13RQ109. 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 (13RQ109) followed by the observatory code and reference code for the source of the astrometry.

2013 09  12.38724  01 34 10.259  -02 43 23.56  23.1g 13RQ109   W84  C~4yQp      
2013 09  12.38724  01 34 10.26   -02 43 23.6   23.3g 13RQ109   W84  C~3cl8      
2013 10  03.28981  01 32 20.232  -02 56 04.52  23.1g 13RQ109   W84  C~4yQp      
2013 10  03.28981  01 32 20.23   -02 56 04.5   23.1g 13RQ109   W84  C~3cl8      
2014 08  18.35633  01 43 17.229  -01 19 44.60  22.5i 13RQ109   W84  C~4yQp      
2014 08  18.35633  01 43 17.23   -01 19 44.6   23.0i 13RQ109   W84  C~3cl8      
2014 08  18.35772  01 43 17.226  -01 19 44.50  22.3z 13RQ109   W84  C~4yQp      
2014 08  18.35772  01 43 17.23   -01 19 44.5   22.3z 13RQ109   W84  C~3cl8      
2014 10  01.33379  01 40 16.973  -01 44 38.38  22.8r 13RQ109   W84  C~4yQp      
2014 10  01.33379  01 40 16.97   -01 44 38.4   22.7r 13RQ109   W84  C~3cl8      
2014 10  02.32996  01 40 11.337  -01 45 13.28  22.4i 13RQ109   W84  C~4yQp      
2014 10  02.32996  01 40 11.34   -01 45 13.3   22.4i 13RQ109   W84  C~3cl8      
2014 10  03.32491  01 40 05.673  -01 45 48.13  22.7r 13RQ109   W84  C~4yQp      
2014 10  03.32491  01 40 05.67   -01 45 48.1   22.9r 13RQ109   W84  C~3cl8      
2014 10  21.28605  01 38 19.088  -01 55 29.58  22.6r 13RQ109   W84  C~4yQp      
2014 10  21.28605  01 38 19.09   -01 55 29.6   22.7r 13RQ109   W84  C~3cl8      
2014 10  29.25698  01 37 31.262  -01 59 06.53  22.3i 13RQ109   W84  C~4yQp      
2014 10  29.25698  01 37 31.26   -01 59 06.5   22.3i 13RQ109   W84  C~3cl8      
2014 11  28.12419  01 34 53.841  -02 06 47.74  21.1z 13RQ109   W84  C~4yQp      
2015 11  06.20303  01 44 30.776  -00 51 42.55  22.8r 13RQ109   W84  C~4yQp      
2015 11  06.20303  01 44 30.78   -00 51 42.5   22.8r 13RQ109   W84  C~3cl8      
2016 11  03.17412  01 52 30.178  +00 19 51.75  22.6r 13RQ109   W84  C~4yQp      
2016 11  03.17412  01 52 30.18   +00 19 51.7   22.7r 13RQ109   W84  C~3cl8      
2016 11  03.17550  01 52 30.166  +00 19 51.90  23.3g 13RQ109   W84  C~4yQp      
2016 11  03.17550  01 52 30.16   +00 19 51.9   23.6g 13RQ109   W84  C~3cl8      
2016 11  10.13098  01 51 49.438  +00 17 20.89  22.3z 13RQ109   W84  C~4yQp      
2016 11  10.13098  01 51 49.43   +00 17 20.9   22.3z 13RQ109   W84  C~3cl8      
2016 11  28.12724  01 50 15.284  +00 13 13.32  22.8r 13RQ109   W84  C~4yQp      
2016 11  28.12724  01 50 15.28   +00 13 13.3   22.9r 13RQ109   W84  C~3cl8      
2016 11  30.13998  01 50 06.137  +00 13 00.03  22.7i 13RQ109   W84  C~4yQq      
2016 11  30.13998  01 50 06.14   +00 13 00.0   22.7i 13RQ109   W84  C~3cl8      
2016 12  07.07701  01 49 37.303  +00 12 38.06  22.9z 13RQ109   W84  C~4yQq      
2017 10  30.224757 02 00 43.67   +01 32 37.1   22.7z 13RQ109   W84  C~35bX      
2017 10  30.22528  02 00 43.677  +01 32 37.08  22.6z 13RQ109   W84  C~4yQq      
2017 11  16.155139 01 59 03.76   +01 26 26.2   22.6r 13RQ109   W84  C~35bX      
2017 11  16.15567  01 59 03.758  +01 26 26.17  22.7r 13RQ109   W84  C~4yQq      
2017 11  16.156516 01 59 03.76   +01 26 26.0   23.7g 13RQ109   W84  C~35bX      
2017 11  16.15705  01 59 03.756  +01 26 26.00  23.6g 13RQ109   W84  C~4yQq      
2018 09  11.32738  02 12 58.717  +03 08 58.15  22.4i 13RQ109   W84  C~4yQq      
2018 09  11.32877  02 12 58.705  +03 08 58.01  22.7r 13RQ109   W84  C~4yQq      
2018 09  11.33014  02 12 58.703  +03 08 57.99  23.2g 13RQ109   W84  C~4yQq      
2018 10  19.23562  02 09 43.336  +02 49 06.65  22.7z 13RQ109   W84  C~4yQq      
2018 11  28.04184  02 05 50.145  +02 34 39.02  22.7r 13RQ109   W84  C~4yQq      
2018 11  28.04321  02 05 50.140  +02 34 39.00  23.3g 13RQ109   W84  C~4yQq      

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    -0.02       0.00     0.14
     2   0.0000      0.00    -0.03       0.00     0.18
     3   0.0572      0.00    -0.01       0.00    -0.09
     4   0.0572      0.00     0.02       0.00    -0.11
     5   0.9308      0.00     0.02       0.00    -0.12
     6   0.9308      0.00     0.00       0.00    -0.12
     7   0.9308      0.00     0.00       0.00     0.02
     8   0.9308      0.00     0.06       0.00     0.02
     9   1.0512      0.00    -0.01       0.00    -0.07
    10   1.0512      0.00     0.04       0.00    -0.05
    11   1.0539      0.00     0.03       0.00     0.01
    12   1.0539      0.00    -0.02       0.00     0.03
    13   1.0566      0.00    -0.06       0.00    -0.02
    14   1.0566      0.00    -0.01       0.00    -0.05
    15   1.1058      0.00     0.05       0.00     0.00
    16   1.1058      0.00     0.08       0.00    -0.02
    17   1.1276      0.00    -0.06       0.00     0.02
    18   1.1276      0.00    -0.03       0.00    -0.01
    19   1.2094      0.00    -0.05       0.00     0.22
    20   2.1487      0.00     0.08       0.00    -0.01
    21   2.1487      0.00     0.02       0.00    -0.06
    22   3.1425      0.00     0.11       0.00    -0.15
    23   3.1425      0.00     0.08       0.00    -0.10
    24   3.1425      0.00    -0.06       0.00     0.08
    25   3.1425      0.00     0.03       0.00     0.08
    26   3.1615      0.00    -0.20       0.00     0.09
    27   3.1615      0.00    -0.08       0.00     0.08
    28   3.2108      0.00     0.03       0.00    -0.03
    29   3.2108      0.00     0.09       0.00    -0.01
    30   3.2163      0.00     0.13       0.00     0.00
    31   3.2163      0.00     0.08       0.00     0.03
    32   3.2353      0.00    -0.20       0.00     0.12
    33   4.1310      0.00    -0.13       0.00     0.05
    34   4.1310      0.00     0.02       0.00     0.04
    35   4.1773      0.00    -0.01       0.00     0.06
    36   4.1773      0.00     0.01       0.00     0.03
    37   4.1773      0.00     0.11       0.00    -0.12
    38   4.1773      0.00     0.09       0.00    -0.11
    39   4.9964      0.00     0.08       0.00     0.09
    40   4.9964      0.00    -0.02       0.00    -0.01
    41   4.9964      0.00     0.03       0.00     0.01
    42   5.1002      0.00    -0.07       0.00    -0.14
    43   5.2092      0.00    -0.01       0.00     0.04
    44   5.2092      0.00     0.02       0.00     0.03

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.

13RQ109    quality flag:3

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

axisobj        36.685    36.684    36.685
ecceobj         0.157     0.157     0.157
incobj         14.529    14.529    14.529
qmin           30.386    30.386    30.386
qmax           42.822    42.827    42.827
amean          36.477    36.477    36.477
amin           36.144    36.145    36.144
amax           36.839    36.841    36.837
emean           0.139     0.139     0.139
emin            0.103     0.103     0.103
emax            0.164     0.164     0.164
imean          12.724    12.724    12.724
imin           11.499    11.498    11.500
imax           14.144    14.143    14.144
excite_mean     0.261     0.261     0.261
fracstop        1.000     1.000     1.000
cjmean          2.952     2.952     2.952

libcent 0       178.9     178.8     179.0
libamp  0        56.2      56.0      56.2
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       183.5     183.5     183.6
kozaiamp        180.0     180.0     180.0