Orbit Fit and Astrometric record for 13SH113

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: 13SH113   
# Created Tue Apr  1 01:09:44 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     21 observations of     21
# Arc:   5.16y
# First observation: 2013/09/28
#  Last observation: 2018/11/26
# Chi-squared of fit:     9.20 DOF:     36 RMS:  0.12
# Min/Max residuals:    -0.22    0.29
# Exact a, adot, b, bdot, g, gdot:
  1.598553E-05  2.482198E-02 -1.601906E-06 -9.966898E-05  2.454910E-02  3.257819E-04
# Covariance matrix:
  2.1581E-13 -4.9422E-14 -4.2306E-16 -4.7301E-17  1.2131E-13  4.4338E-14
 -4.9422E-14  2.8888E-13 -2.7559E-16 -8.6692E-16  1.3784E-13  2.9028E-12
 -4.2306E-16 -2.7559E-16  1.6472E-13 -4.5880E-14 -1.1721E-15 -3.6943E-15
 -4.7301E-17 -8.6692E-16 -4.5880E-14  2.2328E-14 -5.9019E-16 -9.5362E-15
  1.2131E-13  1.3784E-13 -1.1721E-15 -5.9019E-16  3.6838E-13  1.7011E-12
  4.4338E-14  2.9028E-12 -3.6943E-15 -9.5362E-15  1.7011E-12  3.1746E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.192004    7.946196    0.054802   -0.020725   -1.000564  2456563.614146
# Heliocentric elements and errors
Epoch:              2456564.5000  =  2013/09/29
Mean Anomaly:            6.23010 +/-     0.145
Argument of Peri:      251.39110 +/-     0.172
Long of Asc Node:      109.13728 +/-     0.017
Inclination:             1.18637 +/-     0.000
Eccentricity:         0.08120295 +/-    0.0001
Semi-Major Axis:     45.39575430 +/-    0.0045
Time of Perihelion: 2454631.1365 +/-      44.9
Perihelion:          41.70948510 +/-    0.0056
Aphelion:            49.08202351 +/-    0.0062
Period (y)              305.8659 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           41.33309568 +/-    0.0010
Ecliptic Y            5.71724031 +/-    0.0001
Ecliptic Z           -0.84747955 +/-    0.0000
Ecliptic XDOT        -0.00035312 +/-    0.0000
Ecliptic YDOT         0.00274538 +/-    0.0000
Ecliptic ZDOT        -0.00001173 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.73522896 +/-    0.0010
Geocenter to KBO     40.73471978 +/-    0.0010
# Hcoef:  7.24

The following table shows the complete astrometric record for 13SH113. 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 (13SH113) followed by the observatory code and reference code for the source of the astrometry.

2013 09  28.113368 00 31 04.43   +02 03 24.8   23.9g 13SH113   W84  C~55Nk      
2013 09  30.15357  00 30 55.315  +02 02 25.77  23.3r 13SH113   W84  C~55Nk      
2013 09  30.156030 00 30 55.30   +02 02 25.4   22.8i 13SH113   W84  C~55Nk      
2013 10  13.120127 00 29 57.73   +01 56 17.3   22.9i 13SH113   W84  C~55Nk      
2013 11  08.174826 00 28 15.44   +01 45 39.5   23.4r 13SH113   W84  C~55Nk      
2013 11  08.176204 00 28 15.43   +01 45 39.4   22.8i 13SH113   W84  C~55Nk      
2013 11  22.098935 00 27 35.55   +01 41 41.5   23.6r 13SH113   W84  C~55Nk      
2013 11  22.13497  00 27 35.444  +01 41 40.74  23.3i 13SH113   W84  C~55Nk      
2013 11  23.105880 00 27 33.18   +01 41 27.6   23.0i 13SH113   W84  C~55Nk      
2016 09  09.280058 00 48 05.20   +03 51 13.2   23.4r 13SH113   W84  C~55Nk      
2016 09  09.28195  00 48 05.200  +03 51 13.20  23.3i 13SH113   W84  C~55Nk      
2016 09  10.313924 00 48 01.10   +03 50 46.7   22.6z 13SH113   W84  C~55Nk      
2016 11  08.11301  00 43 51.807  +03 24 35.21  23.7i 13SH113   W84  C~55Nk      
2016 11  18.122350 00 43 19.09   +03 21 19.9   23.0i 13SH113   W84  C~55Nk      
2016 11  18.12426  00 43 19.092  +03 21 19.79  22.9z 13SH113   W84  C~55Nk      
2016 11  26.105394 00 42 57.72   +03 19 15.9   23.6r 13SH113   W84  C~55Nk      
2017 08  28.28126  00 54 02.372  +04 28 44.18  23.8r 13SH113   W84  C~55Nk      
2017 08  28.28264  00 54 02.369  +04 28 44.25  23.5i 13SH113   W84  C~55Nk      
2017 08  28.28401  00 54 02.381  +04 28 44.23  24.2g 13SH113   W84  C~55Nk      
2017 10  20.16907  00 50 21.968  +04 05 15.61  22.8z 13SH113   W84  C~55Nk      
2018 11  26.07524  00 53 21.119  +04 24 29.14  24.7g 13SH113   W84  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    -0.12       0.00     0.29
     2   0.0056      0.00    -0.04       0.00     0.08
     3   0.0056      0.00    -0.10       0.00    -0.22
     4   0.0411      0.00    -0.06       0.00    -0.11
     5   0.1124      0.00     0.15       0.00    -0.08
     6   0.1124      0.00     0.07       0.00    -0.15
     7   0.1505      0.00     0.19       0.00     0.21
     8   0.1506      0.00    -0.07       0.00    -0.05
     9   0.1533      0.00    -0.00       0.00    -0.03
    10   2.9491      0.00    -0.04       0.00    -0.07
    11   2.9491      0.00     0.08       0.00    -0.02
    12   2.9520      0.00    -0.12       0.00     0.18
    13   3.1129      0.00     0.15       0.00    -0.04
    14   3.1403      0.00    -0.06       0.00     0.03
    15   3.1403      0.00     0.06       0.00    -0.05
    16   3.1622      0.00    -0.13       0.00     0.18
    17   3.9156      0.00    -0.03       0.00    -0.06
    18   3.9156      0.00    -0.01       0.00     0.04
    19   3.9156      0.00     0.24       0.00     0.05
    20   4.0604      0.00     0.06       0.00    -0.10
    21   5.1607      0.00    -0.11       0.00    -0.04

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.

13SH113    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        45.680    45.680    45.680
ecceobj         0.087     0.087     0.087
incobj          1.186     1.186     1.186
qmin           40.901    40.900    40.901
qmax           50.167    50.163    50.167
amean          45.401    45.401    45.401
amin           45.025    45.025    45.025
amax           45.785    45.784    45.789
emean           0.083     0.083     0.083
emin            0.069     0.069     0.069
emax            0.096     0.096     0.096
imean           0.807     0.807     0.807
imin            0.232     0.232     0.232
imax            1.170     1.171     1.170
excite_mean     0.084     0.084     0.084
fracstop        1.000     1.000     1.000
cjmean          3.110     3.110     3.110

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       193.5     193.5     193.5
kozaiamp        179.9     179.9     180.0