Orbit Fit and Astrometric record for 13SD106

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: 13SD106   
# Created Tue Nov 30 02:12:01 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     43 observations of     43
# Arc:  17.08y
# First observation: 2004/08/13
#  Last observation: 2021/09/12
# Chi-squared of fit:    12.67 DOF:     80 RMS:  0.10
# Min/Max residuals:    -0.17    0.31
# Exact a, adot, b, bdot, g, gdot:
  1.207081E-05  1.511587E-02  4.405730E-06  6.019949E-03  2.000846E-02  2.795731E-04
# Covariance matrix:
  6.6145E-13 -9.4869E-14  8.6742E-14 -2.3909E-14 -2.7462E-14 -2.2002E-13
 -9.4869E-14  3.3299E-14 -4.2654E-14  1.1801E-14  7.3045E-14  1.0873E-13
  8.6742E-14 -4.2654E-14  5.0071E-13 -5.3520E-14 -9.9695E-14 -1.5499E-13
 -2.3909E-14  1.1801E-14 -5.3520E-14  7.9646E-15  2.7678E-14  4.2875E-14
 -2.7462E-14  7.3045E-14 -9.9695E-14  2.7678E-14  2.9797E-13  2.5530E-13
 -2.2002E-13  1.0873E-13 -1.5499E-13  4.2875E-14  2.5530E-13  3.9501E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -3.158895   -2.186877    0.610692   -0.044716   -0.812174  2453230.810213
# Heliocentric elements and errors
Epoch:              2453230.5000  =  2004/08/13
Mean Anomaly:          177.59405 +/-     0.023
Argument of Peri:      173.44459 +/-     0.011
Long of Asc Node:        4.86760 +/-     0.000
Inclination:            21.95242 +/-     0.000
Eccentricity:         0.15410445 +/-    0.0001
Semi-Major Axis:     44.01251093 +/-    0.0033
Time of Perihelion: 2400618.0459 +/-       8.9
Perihelion:          37.22998715 +/-    0.0037
Aphelion:            50.79503471 +/-    0.0045
Period (y)              291.9930 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           50.65200854 +/-    0.0014
Ecliptic Y           -2.54362269 +/-    0.0001
Ecliptic Z           -2.75389122 +/-    0.0001
Ecliptic XDOT         0.00016052 +/-    0.0000
Ecliptic YDOT         0.00205668 +/-    0.0000
Ecliptic ZDOT         0.00082049 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   50.79054572 +/-    0.0014
Geocenter to KBO     49.97888153 +/-    0.0014
# Hcoef:  6.24

The following table shows the complete astrometric record for 13SD106. 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 (13SD106) followed by the observatory code and reference code for the source of the astrometry.

2004 08  13.30947  23 57 00.33   -03 46 04.2   21.8R 13SD106   807  C~3clG      
2004 08  13.38192  23 57 00.11   -03 46 05.5         13SD106   807  C~3clG      
2013 09  30.15950  00 17 51.606  +01 56 20.99  23.3r 13SD106   W84  C~4yR2      
2013 09  30.15950  00 17 51.61   +01 56 21.0   23.3r 13SD106   W84  C~3clG      
2013 09  30.16097  00 17 51.603  +01 56 20.98  22.8i 13SD106   W84  C~4yR2      
2013 09  30.16097  00 17 51.60   +01 56 21.0   23.0i 13SD106   W84  C~3clG      
2013 11  22.07262  00 15 00.292  +01 41 07.97  22.8r 13SD106   W84  C~4yR2      
2013 11  22.07399  00 15 00.298  +01 41 07.83  23.0i 13SD106   W84  C~4yR2      
2013 11  23.09272  00 14 58.292  +01 40 58.36  23.7r 13SD106   W84  C~4yR2      
2013 11  23.09272  00 14 58.29   +01 40 58.4   23.7r 13SD106   W84  C~3clG      
2013 11  23.09414  00 14 58.289  +01 40 58.48  22.7i 13SD106   W84  C~4yR2      
2013 11  23.09414  00 14 58.29   +01 40 58.5   22.8i 13SD106   W84  C~3clG      
2014 10  29.12676  00 18 43.295  +02 26 30.77  23.1z 13SD106   W84  C~4yR2      
2014 10  29.17372  00 18 43.137  +02 26 29.71  23.6r 13SD106   W84  C~4yR2      
2014 10  29.17372  00 18 43.14   +02 26 29.7   23.7r 13SD106   W84  C~3clG      
2014 11  13.04797  00 17 58.789  +02 22 33.40  22.8i 13SD106   W84  C~4yR2      
2014 11  13.04797  00 17 58.79   +02 22 33.4   23.3i 13SD106   W84  C~3clG      
2014 11  13.09322  00 17 58.665  +02 22 32.83  22.5z 13SD106   W84  C~4yR2      
2015 11  07.07731  00 20 53.590  +03 03 49.34  23.4r 13SD106   W84  C~4yR2      
2015 11  07.07731  00 20 53.59   +03 03 49.3   23.5r 13SD106   W84  C~3clG      
2015 11  07.07867  00 20 53.591  +03 03 49.18  22.9i 13SD106   W84  C~4yR2      
2015 11  07.07867  00 20 53.59   +03 03 49.2   23.0i 13SD106   W84  C~3clG      
2016 09  10.26801  00 27 02.858  +04 02 56.48  22.7i 13SD106   W84  C~4yR2      
2016 09  10.26801  00 27 02.86   +04 02 56.5   22.9i 13SD106   W84  C~3clG      
2016 09  10.32270  00 27 02.671  +04 02 55.44  23.1r 13SD106   W84  C~4yR2      
2016 09  10.32270  00 27 02.66   +04 02 55.4   23.5r 13SD106   W84  C~3clG      
2016 11  18.10343  00 22 59.499  +03 40 41.07  23.4r 13SD106   W84  C~4yR2      
2016 11  18.10343  00 22 59.50   +03 40 41.1   23.5r 13SD106   W84  C~3clG      
2016 11  18.10482  00 22 59.499  +03 40 41.32  23.0i 13SD106   W84  C~4yR2      
2016 11  18.10482  00 22 59.50   +03 40 41.5   23.4i 13SD106   W84  C~3clG      
2016 11  30.09555  00 22 35.538  +03 38 36.25  23.3r 13SD106   W84  C~4yR2      
2016 11  30.09555  00 22 35.53   +03 38 36.2   23.3r 13SD106   W84  C~3clG      
2016 11  30.09692  00 22 35.522  +03 38 36.37  23.2i 13SD106   W84  C~4yR2      
2016 11  30.09830  00 22 35.518  +03 38 36.14  24.1g 13SD106   W84  C~4yR2      
2016 12  05.08116  00 22 28.414  +03 38 02.13  22.8z 13SD106   W84  C~4yR2      
2017 08  22.31907  00 30 46.060  +04 48 10.30  23.1r 13SD106   W84  C~4yR2      
2017 10  22.16780  00 27 01.476  +04 28 12.06  23.5r 13SD106   W84  C~4yR2      
2017 10  22.16918  00 27 01.454  +04 28 12.22  24.2g 13SD106   W84  C~4yR2      
2017 10  27.15201  00 26 43.716  +04 26 32.72  23.0z 13SD106   W84  C~4yR2      
2017 10  29.13620  00 26 36.867  +04 25 54.34  22.8z 13SD106   W84  C~4yR2      
2021 09  12.341830 00 40 18.719  +07 21 47.97  23.3G 13SD106   G37  C~55Nk      
2021 09  12.402080 00 40 18.484  +07 21 46.75        13SD106   G37  C~55Nk      
2021 09  12.462960 00 40 18.266  +07 21 45.85        13SD106   G37  C~55Nk      

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     0.06
     2   0.0002      0.00    -0.06       0.00     0.06
     3   9.1303      0.00     0.03       0.00    -0.04
     4   9.1303      0.00     0.09       0.00    -0.03
     5   9.1303      0.00     0.03       0.00     0.00
     6   9.1303      0.00     0.07       0.00    -0.02
     7   9.2752      0.00    -0.16       0.00     0.19
     8   9.2752      0.00    -0.03       0.00     0.06
     9   9.2780      0.00    -0.01       0.00    -0.07
    10   9.2780      0.00     0.02       0.00    -0.11
    11   9.2780      0.00     0.03       0.00     0.04
    12   9.2780      0.00     0.01       0.00     0.02
    13  10.2089      0.00    -0.00       0.00     0.12
    14  10.2091      0.00     0.06       0.00    -0.11
    15  10.2091      0.00     0.01       0.00    -0.10
    16  10.2498      0.00     0.09       0.00    -0.02
    17  10.2498      0.00     0.07       0.00    -0.02
    18  10.2499      0.00     0.03       0.00     0.03
    19  11.2328      0.00     0.04       0.00    -0.06
    20  11.2328      0.00     0.04       0.00    -0.02
    21  11.2328      0.00     0.10       0.00    -0.13
    22  11.2328      0.00     0.11       0.00    -0.15
    23  12.0765      0.00    -0.07       0.00     0.00
    24  12.0765      0.00    -0.10       0.00    -0.02
    25  12.0767      0.00     0.01       0.00    -0.03
    26  12.0767      0.00     0.17       0.00     0.01
    27  12.2650      0.00    -0.14       0.00    -0.10
    28  12.2650      0.00    -0.16       0.00    -0.13
    29  12.2650      0.00    -0.09       0.00     0.31
    30  12.2650      0.00    -0.11       0.00     0.13
    31  12.2978      0.00     0.16       0.00    -0.07
    32  12.2978      0.00     0.04       0.00    -0.12
    33  12.2978      0.00    -0.05       0.00     0.06
    34  12.2978      0.00    -0.07       0.00    -0.16
    35  12.3115      0.00     0.18       0.00     0.04
    36  13.0240      0.00     0.03       0.00     0.06
    37  13.1906      0.00     0.09       0.00    -0.09
    38  13.1906      0.00    -0.17       0.00     0.10
    39  13.2042      0.00     0.17       0.00     0.14
    40  13.2097      0.00    -0.03       0.00     0.10
    41  17.0815      0.00    -0.00       0.00     0.06
    42  17.0817      0.00    -0.15       0.00    -0.07
    43  17.0819      0.00    -0.02       0.00     0.14

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.

13SD106    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        44.399    44.399    44.399
ecceobj         0.144     0.144     0.144
incobj         21.814    21.814    21.814
qmin           36.380    36.375    36.378
qmax           52.414    52.354    52.315
amean          44.230    44.232    44.229
amin           43.866    43.865    43.863
amax           44.646    44.635    44.631
emean           0.158     0.158     0.158
emin            0.142     0.143     0.143
emax            0.174     0.174     0.174
imean          21.891    21.892    21.891
imin           21.368    21.370    21.375
imax           22.370    22.357    22.370
excite_mean     0.405     0.405     0.405
fracstop        1.000     1.000     1.000
cjmean          2.901     2.901     2.901

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       193.4     193.4     193.4
kozaiamp        180.0     180.0     180.0