Orbit Fit and Astrometric record for 13SG106

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: 13SG106   
# Created Sat Dec  4 02:12:01 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     29 observations of     29
# Arc:   6.87y
# First observation: 2013/09/28
#  Last observation: 2020/08/12
# Chi-squared of fit:     5.77 DOF:     52 RMS:  0.08
# Min/Max residuals:    -0.32    0.17
# Exact a, adot, b, bdot, g, gdot:
  1.790954E-05  3.079555E-02 -6.407346E-06 -1.136107E-02  2.722408E-02  4.327733E-04
# Covariance matrix:
  2.6569E-13 -1.1015E-13 -2.0745E-14  2.1076E-14  4.2317E-14 -3.0605E-13
 -1.1015E-13  8.0176E-14  2.3636E-14 -2.3677E-14  3.8254E-14  3.4205E-13
 -2.0745E-14  2.3636E-14  2.0439E-13 -5.7158E-14  3.0090E-14  1.3088E-13
  2.1076E-14 -2.3677E-14 -5.7158E-14  2.5012E-14 -2.7895E-14 -1.3041E-13
  4.2317E-14  3.8254E-14  3.0090E-14 -2.7895E-14  6.2597E-13  3.9104E-13
 -3.0605E-13  3.4205E-13  1.3088E-13 -1.3041E-13  3.9104E-13  1.8803E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.348114   -2.052695   -0.119235    0.058212   -0.993462  2456563.581598
# Heliocentric elements and errors
Epoch:              2456564.5000  =  2013/09/29
Mean Anomaly:            1.24326 +/-     0.004
Argument of Peri:      167.60467 +/-     0.009
Long of Asc Node:      186.88956 +/-     0.000
Inclination:            20.51121 +/-     0.000
Eccentricity:         0.38830882 +/-    0.0001
Semi-Major Axis:     61.64941430 +/-    0.0135
Time of Perihelion: 2455953.9064 +/-       1.7
Perihelion:          37.71040277 +/-    0.0110
Aphelion:            85.58842583 +/-    0.0201
Period (y)              484.0627 +/-      0.16
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.64439850 +/-    0.0011
Ecliptic Y           -1.22683324 +/-    0.0000
Ecliptic Z            2.14499990 +/-    0.0001
Ecliptic XDOT         0.00021487 +/-    0.0000
Ecliptic YDOT         0.00308978 +/-    0.0000
Ecliptic ZDOT        -0.00113792 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.72540388 +/-    0.0011
Geocenter to KBO     36.73221757 +/-    0.0011
# Hcoef:  7.30

The following table shows the complete astrometric record for 13SG106. 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 (13SG106) followed by the observatory code and reference code for the source of the astrometry.

2013 09  28.08082  23 47 08.425  +02 15 20.72  23.2g 13SG106   W84  C~4yR3      
2013 09  28.08082  23 47 08.42   +02 15 20.6   23.9g 13SG106   W84  C~3clG      
2013 09  30.13112  23 46 59.03   +02 14 03.5   22.9r 13SG106   W84  C~3clG      
2013 09  30.13557  23 46 59.02   +02 14 03.2   22.9i 13SG106   W84  C~3clG      
2013 11  22.05198  23 44 06.276  +01 46 11.55  23.6g 13SG106   W84  C~4yR3      
2014 10  28.12587  23 52 34.35   +02 03 41.4   23.6g 13SG106   W84  C~3clG      
2016 09  11.23463  00 10 53.168  +02 43 26.14  22.8i 13SG106   W84  C~4yR3      
2016 09  11.23463  00 10 53.17   +02 43 26.2   22.7i 13SG106   W84  C~3clG      
2016 09  11.23599  00 10 53.154  +02 43 25.90  22.4z 13SG106   W84  C~4yR3      
2016 09  11.23599  00 10 53.15   +02 43 25.9   22.3z 13SG106   W84  C~3clG      
2016 09  22.12447  00 10 03.342  +02 36 50.29  22.8r 13SG106   W84  C~4yR3      
2016 09  22.12447  00 10 03.34   +02 36 50.3   22.7r 13SG106   W84  C~3clG      
2016 09  22.12586  00 10 03.332  +02 36 50.24  23.2g 13SG106   W84  C~4yR3      
2016 09  22.12586  00 10 03.33   +02 36 50.3   23.2g 13SG106   W84  C~3clG      
2016 10  02.17199  00 09 16.629  +02 30 35.68  22.8i 13SG106   W84  C~4yR3      
2016 10  02.17199  00 09 16.63   +02 30 35.7   22.9i 13SG106   W84  C~3clG      
2016 10  02.17338  00 09 16.630  +02 30 35.61  22.9r 13SG106   W84  C~4yR3      
2016 10  02.17338  00 09 16.63   +02 30 35.6   23.0r 13SG106   W84  C~3clG      
2016 10  02.17474  00 09 16.624  +02 30 35.66  23.8g 13SG106   W84  C~4yR3      
2016 10  02.17474  00 09 16.62   +02 30 35.7   23.8g 13SG106   W84  C~3clG      
2017 09  27.17180  00 17 08.259  +02 39 28.04  22.6z 13SG106   W84  C~4yR3      
2017 09  27.17317  00 17 08.257  +02 39 27.97  23.2r 13SG106   W84  C~4yR3      
2017 09  27.19103  00 17 08.172  +02 39 27.27  22.5i 13SG106   W84  C~4yR3      
2017 09  27.19240  00 17 08.166  +02 39 27.21  23.8g 13SG106   W84  C~4yR3      
2017 10  12.17973  00 15 59.318  +02 30 13.67  23.5g 13SG106   W84  C~4yR3      
2018 11  07.12913  00 21 41.595  +02 21 34.79  23.1r 13SG106   W84  C~4yR3      
2018 11  08.13599  00 21 38.243  +02 21 06.10  23.6g 13SG106   W84  C~4yR3      
2020 08  12.363700 00 42 13.597  +03 19 28.99  23.0G 13SG106   G37  C~441X      
2020 08  12.435080 00 42 13.424  +03 19 27.34        13SG106   G37  C~441X      

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     0.01       0.00    -0.04
     2   0.0000      0.00     0.09       0.00     0.08
     3   0.0056      0.00    -0.11       0.00     0.08
     4   0.0056      0.00     0.05       0.00    -0.05
     5   0.1505      0.00    -0.09       0.00     0.01
     6   1.0816      0.00     0.17       0.00    -0.32
     7   2.9546      0.00     0.08       0.00     0.16
     8   2.9546      0.00     0.05       0.00     0.10
     9   2.9546      0.00    -0.13       0.00    -0.09
    10   2.9546      0.00    -0.07       0.00    -0.09
    11   2.9844      0.00    -0.03       0.00     0.03
    12   2.9844      0.00    -0.00       0.00     0.02
    13   2.9844      0.00    -0.08       0.00     0.08
    14   2.9844      0.00    -0.05       0.00     0.02
    15   3.0119      0.00    -0.04       0.00    -0.01
    16   3.0119      0.00    -0.03       0.00     0.01
    17   3.0119      0.00     0.07       0.00    -0.04
    18   3.0119      0.00     0.07       0.00    -0.03
    19   3.0119      0.00     0.02       0.00     0.11
    20   3.0119      0.00     0.08       0.00     0.07
    21   3.9975      0.00    -0.04       0.00     0.07
    22   3.9975      0.00     0.03       0.00     0.05
    23   3.9976      0.00     0.02       0.00     0.01
    24   3.9976      0.00     0.03       0.00     0.00
    25   4.0386      0.00     0.05       0.00    -0.03
    26   5.1090      0.00     0.07       0.00    -0.01
    27   5.1117      0.00    -0.04       0.00    -0.09
    28   6.8728      0.00    -0.04       0.00    -0.05
    29   6.8730      0.00     0.03       0.00    -0.01

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.

13SG106    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        62.206    62.206    62.206
ecceobj         0.394     0.394     0.394
incobj         20.466    20.466    20.466
qmin           36.361    36.385    36.382
qmax           88.151    88.051    88.232
amean          61.624    61.626    61.652
amin           60.912    60.931    60.932
amax           62.616    62.568    62.626
emean           0.393     0.393     0.393
emin            0.377     0.377     0.377
emax            0.409     0.408     0.409
imean          20.001    20.001    20.002
imin           19.416    19.420    19.422
imax           20.705    20.695    20.712
excite_mean     0.521     0.521     0.521
fracstop        1.000     1.000     1.000
cjmean          2.962     2.962     2.962

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       208.4     208.2     208.1
kozaiamp        180.0     180.0     180.0