Orbit Fit and Astrometric record for 13RZ108

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: 13RZ108   
# Created Sat Dec  4 02:11:48 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     32 observations of     32
# Arc:   7.11y
# First observation: 2013/09/10
#  Last observation: 2020/10/20
# Chi-squared of fit:     8.53 DOF:     58 RMS:  0.09
# Min/Max residuals:    -0.21    0.23
# Exact a, adot, b, bdot, g, gdot:
  2.121072E-05  4.506812E-02  4.413963E-06  8.093125E-03  3.353180E-02 -2.492702E-03
# Covariance matrix:
  1.6894E-13 -5.8043E-14  4.8616E-15 -8.0461E-15  1.1540E-13 -1.3881E-13
 -5.8043E-14  2.0175E-13 -1.6643E-14  3.5247E-14  8.1431E-14  5.9841E-13
  4.8616E-15 -1.6643E-14  6.4201E-14 -1.9256E-14 -5.6936E-15 -5.3339E-14
 -8.0461E-15  3.5247E-14 -1.9256E-14  2.1489E-14  1.5163E-14  1.1285E-13
  1.1540E-13  8.1431E-14 -5.6936E-15  1.5163E-14  2.1998E-13  2.5440E-13
 -1.3881E-13  5.9841E-13 -5.3339E-14  1.1285E-13  2.5440E-13  1.9161E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -8.583366   27.375072    0.646390   -0.115292   -0.764515  2456545.851758
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:          355.33899 +/-     0.002
Argument of Peri:      333.71459 +/-     0.006
Long of Asc Node:       65.64475 +/-     0.000
Inclination:            13.01962 +/-     0.000
Eccentricity:         0.45602369 +/-    0.0001
Semi-Major Axis:     55.72435170 +/-    0.0064
Time of Perihelion: 2458513.6787 +/-      25.7
Perihelion:          30.31272701 +/-    0.0046
Aphelion:            81.13597640 +/-    0.0098
Period (y)              415.9831 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           27.16940256 +/-    0.0004
Ecliptic Y           13.34371704 +/-    0.0002
Ecliptic Z           -4.45084205 +/-    0.0001
Ecliptic XDOT        -0.00178933 +/-    0.0000
Ecliptic YDOT         0.00321936 +/-    0.0000
Ecliptic ZDOT         0.00068391 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.59483941 +/-    0.0003
Geocenter to KBO     29.82249816 +/-    0.0004
# Hcoef:  8.04

The following table shows the complete astrometric record for 13RZ108. 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 (13RZ108) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.35098  01 53 57.099  +02 31 02.53  23.9g 13RZ108   W84  C~4yQo      
2013 09  10.35098  01 53 57.10   +02 31 02.5   23.9g 13RZ108   W84  C~3cl7      
2013 09  10.37246  01 53 57.007  +02 31 01.94  23.5r 13RZ108   W84  C~4yQo      
2013 09  10.37246  01 53 57.01   +02 31 01.9   23.3r 13RZ108   W84  C~3cl7      
2013 10  03.24537  01 52 05.704  +02 19 02.94  23.2g 13RZ108   W84  C~4yQo      
2013 10  03.24537  01 52 05.70   +02 19 02.9   23.4g 13RZ108   W84  C~3cl7      
2013 10  04.20320  01 52 00.359  +02 18 32.18  23.2g 13RZ108   W84  C~4yQo      
2013 10  04.20320  01 52 00.36   +02 18 32.1   23.3g 13RZ108   W84  C~3cl7      
2013 11  04.07060  01 48 57.56   +02 03 44.2   23.0r 13RZ108   W84  C~352C      
2013 11  04.13358  01 48 57.19   +02 03 42.7         13RZ108   W84  C~352C      
2013 11  04.21602  01 48 56.69   +02 03 40.8         13RZ108   W84  C~352C      
2013 11  23.18047  01 47 13.940  +01 58 00.66  21.8i 13RZ108   W84  C~4yQo      
2013 11  23.18047  01 47 13.94   +01 58 00.7   21.8i 13RZ108   W84  C~3cl7      
2013 12  21.111100 01 45 33.14   +01 57 11.1   22.9i 13RZ108   W84  C~352C      
2013 12  21.11163  01 45 33.139  +01 57 11.03  23.3i 13RZ108   W84  C~4yQo      
2013 12  21.11303  01 45 33.118  +01 57 11.15  22.9z 13RZ108   W84  C~4yQo      
2014 10  02.260000 02 01 18.48   +03 41 04.3   23.2g 13RZ108   W84  C~352C      
2014 10  02.26052  02 01 18.492  +03 41 03.99  23.0g 13RZ108   W84  C~4yQo      
2014 10  02.261354 02 01 18.47   +03 41 04.2   22.8r 13RZ108   W84  C~352C      
2014 10  02.26188  02 01 18.470  +03 41 04.23  22.8r 13RZ108   W84  C~4yQo      
2014 10  21.27770  01 59 27.902  +03 31 26.00  23.6g 13RZ108   W84  C~4yQo      
2014 10  23.27376  01 59 15.781  +03 30 28.94  22.8i 13RZ108   W84  C~4yQo      
2014 10  23.27376  01 59 15.78   +03 30 28.9   22.7i 13RZ108   W84  C~3cl7      
2014 10  29.238264 01 58 39.54   +03 27 45.6   22.2r 13RZ108   W84  C~352C      
2014 10  29.24020  01 58 39.533  +03 27 45.53  22.7g 13RZ108   W84  C~4yQo      
2014 10  29.24020  01 58 39.53   +03 27 45.5   22.9g 13RZ108   W84  C~3cl7      
2014 11  17.130683 01 56 49.50   +03 20 46.2   22.8r 13RZ108   W84  C~352C      
2014 12  25.084826 01 54 20.28   +03 17 54.6   22.4z 13RZ108   W84  C~352C      
2014 12  25.08535  01 54 20.287  +03 17 54.51  22.7z 13RZ108   W84  C~4yQo      
2015 12  29.12036  02 03 11.54   +04 38 45.7   22.9i 13RZ108   W84  C~3cl7      
2020 10  20.408610 02 55 37.153  +11 33 43.26  22.7G 13RZ108   G37  C~4Kvu      
2020 10  20.479610 02 55 36.755  +11 33 41.41        13RZ108   G37  C~4Kvu      

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     0.05       0.00    -0.11
     2   0.0000      0.00     0.04       0.00    -0.08
     3   0.0001      0.00     0.02       0.00    -0.08
     4   0.0001      0.00    -0.02       0.00    -0.04
     5   0.0627      0.00    -0.12       0.00     0.06
     6   0.0627      0.00    -0.06       0.00     0.10
     7   0.0653      0.00     0.09       0.00     0.07
     8   0.0653      0.00     0.10       0.00    -0.01
     9   0.1498      0.00    -0.00       0.00     0.05
    10   0.1500      0.00     0.07       0.00     0.02
    11   0.1502      0.00    -0.06       0.00     0.04
    12   0.2021      0.00     0.03       0.00     0.05
    13   0.2021      0.00     0.03       0.00     0.01
    14   0.2786      0.00     0.07       0.00    -0.07
    15   0.2786      0.00     0.07       0.00    -0.14
    16   0.2786      0.00    -0.19       0.00    -0.04
    17   1.0593      0.00    -0.10       0.00     0.12
    18   1.0593      0.00     0.13       0.00    -0.18
    19   1.0593      0.00    -0.13       0.00     0.06
    20   1.0593      0.00    -0.09       0.00     0.11
    21   1.1114      0.00     0.10       0.00     0.02
    22   1.1168      0.00    -0.03       0.00    -0.04
    23   1.1168      0.00    -0.02       0.00     0.00
    24   1.1332      0.00    -0.03       0.00    -0.05
    25   1.1332      0.00    -0.00       0.00    -0.10
    26   1.1332      0.00     0.04       0.00    -0.07
    27   1.1849      0.00     0.08       0.00     0.19
    28   1.2888      0.00    -0.14       0.00     0.12
    29   1.2888      0.00    -0.02       0.00     0.02
    30   2.2992      0.00     0.09       0.00    -0.02
    31   7.1104      0.00    -0.21       0.00     0.07
    32   7.1106      0.00     0.23       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.

13RZ108    quality flag:3

Type:         5:2EEE    5:2EEE    5:2EEE

axisobj        56.175    56.174    56.175
ecceobj         0.460     0.460     0.460
incobj         13.021    13.021    13.021
qmin           29.854    29.854    29.854
qmax           82.638    82.508    82.617
amean          55.462    55.462    55.461
amin           54.749    54.716    54.757
amax           56.499    56.469    56.493
emean           0.451     0.451     0.451
emin            0.441     0.441     0.441
emax            0.463     0.462     0.463
imean          11.935    11.938    11.936
imin           11.731    11.731    11.731
imax           12.118    12.116    12.119
excite_mean     0.496     0.496     0.496
fracstop        1.000     1.000     1.000
cjmean          2.913     2.913     2.913

libcent 0       180.4     179.6     180.1
libamp  0        81.7      81.8      83.1
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       153.1     153.0     153.3
kozaiamp        180.0     180.0     180.0