Orbit Fit and Astrometric record for 13RK109

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: 13RK109   
# Created Thu Dec  9 02:11:43 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     56 observations of     56
# Arc:   5.03y
# First observation: 2013/09/09
#  Last observation: 2018/09/21
# Chi-squared of fit:    14.43 DOF:    106 RMS:  0.09
# Min/Max residuals:    -0.32    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.901284E-05  3.554828E-02 -3.513976E-06 -7.869679E-03  2.828549E-02  8.044839E-03
# Covariance matrix:
  1.8389E-13 -3.8201E-14 -2.1175E-16 -1.0659E-15  1.3224E-13  3.3178E-14
 -3.8201E-14  1.0384E-13  1.0202E-14 -2.2664E-14  4.9198E-14  6.6652E-13
 -2.1175E-16  1.0202E-14  7.8822E-14 -2.4279E-14  7.4437E-15  7.4230E-14
 -1.0659E-15 -2.2664E-14 -2.4279E-14  1.5042E-14 -1.8630E-14 -1.6712E-13
  1.3224E-13  4.9198E-14  7.4437E-15 -1.8630E-14  2.1749E-13  5.5037E-13
  3.3178E-14  6.6652E-13  7.4230E-14 -1.6712E-13  5.5037E-13  4.9174E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -3.060486   10.619896    0.413938   -0.048988   -0.917913  2456544.719408
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:            5.96706 +/-     0.002
Argument of Peri:      162.62822 +/-     0.008
Long of Asc Node:      176.76679 +/-     0.000
Inclination:            12.85168 +/-     0.000
Eccentricity:         0.61754634 +/-    0.0001
Semi-Major Axis:     89.70595874 +/-    0.0178
Time of Perihelion: 2451400.6479 +/-       2.4
Perihelion:          34.30837238 +/-    0.0096
Aphelion:           145.10354509 +/-    0.0296
Period (y)              849.6502 +/-      0.25
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.67803778 +/-    0.0006
Ecliptic Y            6.27184455 +/-    0.0001
Ecliptic Z           -1.88768203 +/-    0.0000
Ecliptic XDOT         0.00008398 +/-    0.0000
Ecliptic YDOT         0.00351656 +/-    0.0000
Ecliptic ZDOT        -0.00080208 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.27410854 +/-    0.0006
Geocenter to KBO     35.35368890 +/-    0.0006
# Hcoef:  7.09

The following table shows the complete astrometric record for 13RK109. 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 (13RK109) followed by the observatory code and reference code for the source of the astrometry.

2013 09  09.21863  00 43 50.590  +01 23 15.88  23.8g 13RK109   W84  C~4yQp      
2013 09  09.21863  00 43 50.59   +01 23 15.9   23.8g 13RK109   W84  C~3cl8      
2013 09  28.11528  00 42 24.614  +01 12 10.49  23.3g 13RK109   W84  C~4yQp      
2013 09  28.11528  00 42 24.61   +01 12 10.5   23.3g 13RK109   W84  C~3cl8      
2013 10  03.10233  00 42 00.658  +01 09 12.20  24.2g 13RK109   W84  C~4yQp      
2013 10  13.149560 00 41 12.50   +01 03 22.0   22.5i 13RK109   W84  C~35bW      
2013 10  13.15009  00 41 12.496  +01 03 22.06  22.6i 13RK109   W84  C~4yQp      
2013 10  13.15009  00 41 12.50   +01 03 22.0   22.6i 13RK109   W84  C~3cl8      
2013 10  13.17933  00 41 12.347  +01 03 21.14  22.1z 13RK109   W84  C~4yQp      
2013 10  13.17933  00 41 12.35   +01 03 21.1   22.5z 13RK109   W84  C~3cl8      
2013 11  23.12179  00 38 33.568  +00 45 12.58  22.8r 13RK109   W84  C~4yQp      
2013 11  23.12179  00 38 33.57   +00 45 12.6   22.8r 13RK109   W84  C~3cl8      
2013 11  23.12459  00 38 33.560  +00 45 12.56  22.4i 13RK109   W84  C~4yQp      
2013 11  23.12459  00 38 33.56   +00 45 12.6   22.4i 13RK109   W84  C~3cl8      
2013 12  02.116933 00 38 14.17   +00 43 10.2   22.9r 13RK109   W84  C~35bW      
2014 10  29.22180  00 48 10.115  +01 17 49.30  22.6i 13RK109   W84  C~4yQp      
2014 10  29.22180  00 48 10.12   +01 17 49.3   22.6i 13RK109   W84  C~3cl8      
2014 11  14.13269  00 47 07.972  +01 10 57.74  22.4r 13RK109   W84  C~4yQp      
2014 11  14.13269  00 47 07.97   +01 10 57.7   22.5r 13RK109   W84  C~3cl8      
2014 11  15.07192  00 47 04.794  +01 10 37.30  21.8z 13RK109   W84  C~4yQp      
2014 11  15.07192  00 47 04.79   +01 10 37.3   22.2z 13RK109   W84  C~3cl8      
2014 11  17.07181  00 46 58.201  +01 09 55.24  22.8z 13RK109   W84  C~4yQp      
2014 11  17.07181  00 46 58.20   +01 09 55.2   22.9z 13RK109   W84  C~3cl8      
2015 10  17.16686  00 57 08.037  +01 46 35.63  22.4r 13RK109   W84  C~4yQp      
2015 10  17.16686  00 57 08.04   +01 46 35.6   22.5r 13RK109   W84  C~3cl8      
2016 08  16.39263  01 09 03.386  +02 40 44.24  22.6i 13RK109   W84  C~4yQp      
2016 08  16.39263  01 09 03.38   +02 40 44.3   22.5i 13RK109   W84  C~3cl8      
2016 08  16.39399  01 09 03.377  +02 40 44.39  21.8z 13RK109   W84  C~4yQp      
2016 08  16.39399  01 09 03.38   +02 40 44.4   21.9z 13RK109   W84  C~3cl8      
2016 10  29.18898  01 04 03.253  +02 01 48.35  22.4i 13RK109   W84  C~4yQp      
2016 10  29.18898  01 04 03.25   +02 01 48.4   22.5i 13RK109   W84  C~3cl8      
2016 10  29.19036  01 04 03.250  +02 01 48.33  22.9r 13RK109   W84  C~4yQp      
2016 10  29.19036  01 04 03.25   +02 01 48.3   23.0r 13RK109   W84  C~3cl8      
2016 10  29.19174  01 04 03.238  +02 01 48.22  23.6g 13RK109   W84  C~4yQp      
2016 10  29.19174  01 04 03.24   +02 01 48.2   23.6g 13RK109   W84  C~3cl8      
2016 11  06.153322 01 03 29.15   +01 58 08.6   22.2z 13RK109   W84  C~35bX      
2016 11  06.15385  01 03 29.153  +01 58 08.52  22.4z 13RK109   W84  C~4yQp      
2017 08  22.412326 01 16 30.40   +02 59 05.2   22.9i 13RK109   W84  C~35bX      
2017 08  22.41286  01 16 30.396  +02 59 05.17  22.6i 13RK109   W84  C~4yQp      
2017 08  27.377153 01 16 17.11   +02 56 52.5   22.9r 13RK109   W84  C~35bX      
2017 08  27.37768  01 16 17.107  +02 56 52.43  22.9r 13RK109   W84  C~4yQp      
2017 08  27.396713 01 16 17.04   +02 56 51.7   22.9g 13RK109   W84  C~35bX      
2017 08  27.39723  01 16 17.043  +02 56 51.66  22.9g 13RK109   W84  C~4yQp      
2017 08  28.370498 01 16 14.22   +02 56 24.8   22.2z 13RK109   W84  C~35bX      
2017 08  28.37103  01 16 14.220  +02 56 24.78  22.2z 13RK109   W84  C~4yQp      
2017 09  14.323148 01 15 14.82   +02 47 47.0   22.7r 13RK109   W84  C~35bX      
2017 09  14.32368  01 15 14.822  +02 47 46.98  22.6r 13RK109   W84  C~4yQp      
2017 09  14.324525 01 15 14.81   +02 47 46.9   22.4i 13RK109   W84  C~35bX      
2017 09  14.32506  01 15 14.815  +02 47 46.85  22.3i 13RK109   W84  C~4yQp      
2017 09  18.304248 01 14 58.49   +02 45 36.0   23.5g 13RK109   W84  C~35bX      
2017 09  18.30477  01 14 58.487  +02 45 36.02  23.5g 13RK109   W84  C~4yQp      
2017 09  24.256979 01 14 32.78   +02 42 16.0   22.6z 13RK109   W84  C~35bX      
2018 09  11.33623  01 23 03.202  +03 09 58.61  22.4i 13RK109   W84  C~4yQp      
2018 09  11.35443  01 23 03.138  +03 09 58.02  22.8r 13RK109   W84  C~4yQp      
2018 09  11.35579  01 23 03.120  +03 09 58.06  23.3g 13RK109   W84  C~4yQp      
2018 09  21.32288  01 22 23.546  +03 04 36.82  23.2z 13RK109   W84  C~4yQp      

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     0.23       0.00    -0.10
     2   0.0000      0.00     0.23       0.00    -0.08
     3   0.0517      0.00    -0.05       0.00     0.15
     4   0.0517      0.00    -0.11       0.00     0.16
     5   0.0654      0.00    -0.32       0.00    -0.26
     6   0.0929      0.00     0.07       0.00    -0.11
     7   0.0929      0.00     0.04       0.00    -0.04
     8   0.0929      0.00     0.10       0.00    -0.10
     9   0.0930      0.00    -0.03       0.00    -0.00
    10   0.0930      0.00    -0.07       0.00     0.04
    11   0.2051      0.00     0.02       0.00     0.02
    12   0.2051      0.00    -0.01       0.00    -0.00
    13   0.2051      0.00    -0.02       0.00     0.06
    14   0.2051      0.00    -0.02       0.00     0.02
    15   0.2297      0.00    -0.19       0.00     0.15
    16   1.1362      0.00     0.10       0.00     0.06
    17   1.1362      0.00     0.02       0.00     0.06
    18   1.1798      0.00     0.03       0.00    -0.03
    19   1.1798      0.00     0.06       0.00     0.01
    20   1.1823      0.00     0.06       0.00     0.04
    21   1.1823      0.00     0.12       0.00     0.04
    22   1.1878      0.00    -0.08       0.00    -0.05
    23   1.1878      0.00    -0.07       0.00    -0.01
    24   2.1025      0.00     0.08       0.00    -0.01
    25   2.1025      0.00     0.03       0.00     0.02
    26   2.9355      0.00    -0.11       0.00     0.02
    27   2.9355      0.00    -0.02       0.00    -0.04
    28   2.9355      0.00    -0.06       0.00     0.15
    29   2.9355      0.00    -0.11       0.00     0.14
    30   3.1375      0.00    -0.02       0.00     0.04
    31   3.1375      0.00     0.03       0.00    -0.01
    32   3.1375      0.00     0.08       0.00    -0.02
    33   3.1375      0.00     0.08       0.00     0.01
    34   3.1375      0.00     0.02       0.00    -0.08
    35   3.1375      0.00    -0.01       0.00    -0.06
    36   3.1593      0.00    -0.05       0.00    -0.01
    37   3.1593      0.00     0.03       0.00    -0.07
    38   3.9512      0.00    -0.01       0.00    -0.01
    39   3.9513      0.00    -0.05       0.00    -0.03
    40   3.9648      0.00     0.10       0.00     0.12
    41   3.9648      0.00     0.08       0.00     0.06
    42   3.9649      0.00    -0.08       0.00    -0.14
    43   3.9649      0.00    -0.02       0.00    -0.16
    44   3.9676      0.00     0.04       0.00     0.09
    45   3.9676      0.00     0.06       0.00     0.09
    46   4.0140      0.00     0.01       0.00     0.01
    47   4.0140      0.00     0.07       0.00     0.01
    48   4.0140      0.00    -0.05       0.00    -0.04
    49   4.0140      0.00     0.05       0.00    -0.07
    50   4.0249      0.00    -0.02       0.00     0.08
    51   4.0249      0.00    -0.03       0.00     0.12
    52   4.0412      0.00    -0.14       0.00    -0.04
    53   5.0051      0.00    -0.00       0.00    -0.01
    54   5.0052      0.00     0.07       0.00    -0.03
    55   5.0052      0.00    -0.12       0.00     0.05
    56   5.0325      0.00     0.21       0.00    -0.07

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.

13RK109    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        91.132    91.132    91.131
ecceobj         0.624     0.624     0.624
incobj         12.824    12.824    12.824
qmin           32.535    32.571    33.074
qmax          160.955   167.711   156.235
amean          91.105    90.535    90.075
amin           87.844    86.008    86.071
amax           97.437   100.751    95.262
emean           0.627     0.626     0.619
emin            0.607     0.598     0.594
emax            0.652     0.666     0.641
imean          11.537    10.718    12.225
imin            9.707     9.124    11.032
imax           12.992    13.068    13.627
excite_mean     0.658     0.653     0.654
fracstop        1.000     1.000     1.000
cjmean          2.985     2.988     2.989

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       202.4     204.8     187.3
kozaiamp        180.0     180.0     179.9