Orbit Fit and Astrometric record for 13RY108

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: 13RY108   
# Created Fri Dec  3 02:11:46 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     39 observations of     39
# Arc:   5.16y
# First observation: 2013/09/10
#  Last observation: 2018/11/06
# Chi-squared of fit:    27.05 DOF:     72 RMS:  0.15
# Min/Max residuals:    -0.37    0.49
# Exact a, adot, b, bdot, g, gdot:
  1.668638E-05  3.032243E-02  4.551674E-07  5.377640E-04  2.868351E-02 -1.357440E-02
# Covariance matrix:
  1.2348E-13 -4.3390E-14  2.2264E-16 -7.0503E-16  6.4544E-14 -1.7679E-13
 -4.3390E-14  1.6475E-13 -1.2598E-15  2.7823E-15  1.4859E-13  1.0823E-12
  2.2264E-16 -1.2598E-15  8.7586E-14 -2.3515E-14 -1.0652E-15 -8.9207E-15
 -7.0503E-16  2.7823E-15 -2.3515E-14  1.0798E-14  1.8165E-15  1.9937E-14
  6.4544E-14  1.4859E-13 -1.0652E-15  1.8165E-15  3.5378E-13  9.5151E-13
 -1.7679E-13  1.0823E-12 -8.9207E-15  1.9937E-14  9.5151E-13  7.6476E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -10.996251    9.435500    0.377158   -0.178160   -0.917403  2456545.830848
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:          321.50906 +/-     0.010
Argument of Peri:        4.90116 +/-     0.006
Long of Asc Node:       93.37767 +/-     0.001
Inclination:            10.75766 +/-     0.000
Eccentricity:         0.46398330 +/-    0.0001
Semi-Major Axis:     45.76677248 +/-    0.0077
Time of Perihelion: 2468637.9915 +/-      25.7
Perihelion:          24.53175440 +/-    0.0063
Aphelion:            67.00179057 +/-    0.0122
Period (y)              309.6233 +/-      0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           34.74347214 +/-    0.0007
Ecliptic Y            5.39464210 +/-    0.0001
Ecliptic Z           -6.64998847 +/-    0.0001
Ecliptic XDOT        -0.00172569 +/-    0.0000
Ecliptic YDOT         0.00264706 +/-    0.0000
Ecliptic ZDOT         0.00029767 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   35.78341074 +/-    0.0007
Geocenter to KBO     34.86353464 +/-    0.0007
# Hcoef:  7.92

The following table shows the complete astrometric record for 13RY108. 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 (13RY108) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.33007  00 51 59.441  -06 22 20.95  24.5g 13RY108   W84  C~4yQn      
2013 09  10.330938 00 51 59.43   -06 22 21.1   23.6r 13RY108   W84  C~352C      
2013 09  10.33147  00 51 59.432  -06 22 21.08  23.5r 13RY108   W84  C~4yQn      
2013 09  10.332326 00 51 59.42   -06 22 21.0   23.3i 13RY108   W84  C~352C      
2013 09  10.33286  00 51 59.423  -06 22 21.06  23.3i 13RY108   W84  C~4yQn      
2013 09  11.261713 00 51 55.14   -06 22 54.5   23.9g 13RY108   W84  C~352C      
2013 09  11.26224  00 51 55.150  -06 22 54.90  23.6g 13RY108   W84  C~4yQn      
2013 10  02.265856 00 50 09.99   -06 35 15.6   23.4r 13RY108   W84  C~352C      
2013 10  02.26639  00 50 09.994  -06 35 15.64  23.2r 13RY108   W84  C~4yQn      
2013 10  04.17197  00 49 59.958  -06 36 17.91  24.5g 13RY108   W84  C~4yQn      
2013 10  04.21244  00 49 59.763  -06 36 19.29  23.4r 13RY108   W84  C~4yQn      
2013 10  04.21385  00 49 59.748  -06 36 19.25  23.1i 13RY108   W84  C~4yQn      
2013 10  13.18536  00 49 12.584  -06 40 54.54  23.3z 13RY108   W84  C~4yQn      
2014 10  03.266713 00 56 33.04   -05 52 17.1   22.9i 13RY108   W84  C~352C      
2014 10  03.26724  00 56 33.039  -05 52 17.30  23.2i 13RY108   W84  C~4yQn      
2014 10  03.299954 00 56 32.85   -05 52 18.4   23.6g 13RY108   W84  C~352C      
2014 10  03.30048  00 56 32.855  -05 52 18.57  23.8g 13RY108   W84  C~4yQn      
2014 11  16.09473  00 52 58.139  -06 09 06.53  24.0g 13RY108   W84  C~4yQn      
2014 11  16.097060 00 52 58.12   -06 09 06.5   23.3r 13RY108   W84  C~352C      
2014 11  16.09758  00 52 58.136  -06 09 06.87  22.7r 13RY108   W84  C~4yQn      
2014 11  17.03079  00 52 54.536  -06 09 15.15  23.1i 13RY108   W84  C~4yQn      
2016 10  22.164340 01 08 11.20   -04 31 04.2   23.6g 13RY108   W84  C~352C      
2016 10  22.16487  01 08 11.212  -04 31 04.32  24.0g 13RY108   W84  C~4yQn      
2016 10  23.16247  01 08 05.847  -04 31 31.15  23.5r 13RY108   W84  C~4yQn      
2016 11  05.13687  01 06 59.320  -04 36 28.09  23.1r 13RY108   W84  C~4yQn      
2016 11  05.137731 01 06 59.30   -04 36 28.1   22.9i 13RY108   W84  C~352C      
2016 11  05.13826  01 06 59.305  -04 36 28.15  23.4i 13RY108   W84  C~4yQo      
2016 11  05.13963  01 06 59.317  -04 36 28.28  23.9g 13RY108   W84  C~4yQo      
2016 11  06.17800  01 06 54.300  -04 36 47.41  22.7z 13RY108   W84  C~4yQo      
2017 08  22.41973  01 19 57.632  -03 08 14.40  23.3i 13RY108   W84  C~4yQo      
2017 08  28.29776  01 19 39.026  -03 11 31.35  23.0r 13RY108   W84  C~4yQo      
2017 09  14.30989  01 18 29.847  -03 21 41.93  23.5z 13RY108   W84  C~4yQo      
2017 09  18.31251  01 18 10.797  -03 24 09.31  23.3r 13RY108   W84  C~4yQo      
2017 09  18.31390  01 18 10.794  -03 24 09.36  23.1i 13RY108   W84  C~4yQo      
2017 09  18.35501  01 18 10.560  -03 24 11.00  21.9z 13RY108   W84  C~4yQo      
2018 10  19.16034  01 22 35.715  -02 52 06.88  22.3z 13RY108   W84  C~4yQo      
2018 11  06.19384  01 20 57.735  -02 59 51.45  22.7r 13RY108   W84  C~4yQo      
2018 11  06.19522  01 20 57.717  -02 59 51.41  23.0i 13RY108   W84  C~4yQo      
2018 11  06.19658  01 20 57.719  -02 59 51.55  23.2g 13RY108   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     0.02       0.00    -0.03
     2   0.0000      0.00    -0.09       0.00    -0.15
     3   0.0000      0.00    -0.02       0.00    -0.11
     4   0.0000      0.00    -0.14       0.00     0.00
     5   0.0000      0.00    -0.06       0.00    -0.04
     6   0.0026      0.00    -0.14       0.00     0.49
     7   0.0026      0.00     0.04       0.00     0.11
     8   0.0601      0.00     0.10       0.00    -0.07
     9   0.0601      0.00     0.20       0.00    -0.09
    10   0.0653      0.00    -0.23       0.00    -0.07
    11   0.0654      0.00     0.10       0.00    -0.14
    12   0.0654      0.00    -0.01       0.00    -0.05
    13   0.0900      0.00     0.16       0.00    -0.11
    14   1.0621      0.00     0.24       0.00     0.19
    15   1.0621      0.00     0.27       0.00     0.01
    16   1.0622      0.00     0.07       0.00    -0.00
    17   1.0622      0.00     0.19       0.00    -0.16
    18   1.1821      0.00    -0.10       0.00     0.11
    19   1.1821      0.00    -0.24       0.00     0.16
    20   1.1821      0.00     0.03       0.00    -0.20
    21   1.1847      0.00    -0.16       0.00     0.10
    22   3.1152      0.00    -0.05       0.00     0.27
    23   3.1152      0.00     0.18       0.00     0.17
    24   3.1180      0.00    -0.23       0.00     0.05
    25   3.1535      0.00    -0.04       0.00     0.05
    26   3.1535      0.00    -0.28       0.00     0.05
    27   3.1535      0.00    -0.16       0.00     0.01
    28   3.1535      0.00     0.12       0.00    -0.09
    29   3.1563      0.00     0.16       0.00     0.11
    30   3.9482      0.00     0.01       0.00    -0.18
    31   3.9643      0.00     0.13       0.00    -0.06
    32   4.0109      0.00     0.12       0.00    -0.11
    33   4.0219      0.00     0.03       0.00    -0.03
    34   4.0219      0.00     0.09       0.00    -0.03
    35   4.0220      0.00    -0.37       0.00    -0.16
    36   5.1056      0.00    -0.21       0.00    -0.00
    37   5.1550      0.00     0.21       0.00     0.01
    38   5.1550      0.00     0.04       0.00     0.08
    39   5.1550      0.00     0.18       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.

13RY108    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        45.988    45.987    45.988
ecceobj         0.463     0.463     0.463
incobj         10.763    10.763    10.763
qmin           24.259    24.263    24.258
qmax           69.089    68.813    69.702
amean          45.428    45.407    46.362
amin           43.213    43.494    45.418
amax           46.975    46.755    47.368
emean           0.449     0.455     0.462
emin            0.421     0.431     0.444
emax            0.473     0.472     0.475
imean          10.806    10.345    10.380
imin            9.184     9.184     9.184
imax           12.175    11.968    12.077
excite_mean     0.487     0.490     0.496
fracstop        0.051     0.026     0.026
cjmean          2.816     2.812     2.812

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        51.8      29.2      28.1
kozaiamp         49.4      27.2      23.1