Orbit Fit and Astrometric record for 13SZ111

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: 13SZ111   
# Created Fri Dec  3 02:12:00 2021
# Orbit generated from Bernstein formalism
# Fitting     14 observations of     14
# Arc:   1.13y
# First observation: 2013/09/28
#  Last observation: 2014/11/14
Preliminary a, adot, b, bdot, g, gdot:
  -0.000009   0.026857   0.000003   0.012983   0.027565   0.000000
# Chi-squared of fit:     5.42 DOF:     22 RMS:  0.11
# Min/Max residuals:    -0.21    0.25
# Exact a, adot, b, bdot, g, gdot:
  1.420026E-05  2.704858E-02  7.147056E-06  1.310890E-02  2.772766E-02  1.881621E-03
# Covariance matrix:
  4.2093E-13  1.2106E-12 -3.0254E-14  9.3370E-13  1.3996E-12  6.3026E-11
  1.2106E-12  2.1791E-11 -6.3629E-13  1.8387E-11  1.1460E-11  1.2532E-09
 -3.0254E-14 -6.3629E-13  1.9597E-13 -7.3321E-13 -2.9522E-13 -3.8518E-11
  9.3370E-13  1.8387E-11 -7.3321E-13  1.6621E-11  8.7833E-12  1.1063E-09
  1.3996E-12  1.1460E-11 -2.9522E-13  8.7833E-12  8.9437E-12  5.9605E-10
  6.3026E-11  1.2532E-09 -3.8518E-11  1.1063E-09  5.9605E-10  7.5473E-08
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.076895    1.258944   -0.061681    0.036347   -0.999722  2456563.589308
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:           26.32633 +/-     2.864
Argument of Peri:      331.05964 +/-     3.874
Long of Asc Node:      357.19994 +/-     0.001
Inclination:            25.94857 +/-     0.004
Eccentricity:         0.12300671 +/-    0.0057
Semi-Major Axis:     41.49135206 +/-    0.0627
Time of Perihelion: 2449421.7412 +/-     776.3
Perihelion:          36.38763748 +/-    0.2428
Aphelion:            46.59506665 +/-    0.2468
Period (y)              267.2665 +/-      0.61
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.03104337 +/-    0.0039
Ecliptic Y            0.87846895 +/-    0.0001
Ecliptic Z            1.30726909 +/-    0.0001
Ecliptic XDOT         0.00007388 +/-    0.0000
Ecliptic YDOT         0.00267189 +/-    0.0000
Ecliptic ZDOT         0.00130040 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.06452257 +/-    0.0039
Geocenter to KBO     36.06507217 +/-    0.0039
# Hcoef:  7.69

The following table shows the complete astrometric record for 13SZ111. 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 (13SZ111) followed by the observatory code and reference code for the source of the astrometry.

2013 09  28.08853  00 01 18.849  +02 24 22.37  23.6g 13SZ111   W84  C~52RT      
2013 09  30.13263  00 01 08.127  +02 23 28.41  22.9r 13SZ111   W84  C~52RT      
2013 09  30.13409  00 01 08.118  +02 23 28.32  23.1i 13SZ111   W84  C~52RT      
2013 10  11.11811  00 00 11.903  +02 18 42.32  23.0z 13SZ111   W84  C~52RT      
2013 10  12.12332  00 00 06.928  +02 18 16.70  23.6i 13SZ111   W84  C~52RT      
2013 10  12.12471  00 00 06.910  +02 18 16.75  22.7z 13SZ111   W84  C~52RT      
2013 10  13.10784  00 00 02.077  +02 17 52.03  23.2i 13SZ111   W84  C~52RT      
2013 10  28.06370  23 58 53.882  +02 12 01.60  23.6r 13SZ111   W84  C~52RT      
2013 11  08.12914  23 58 11.992  +02 08 29.49  23.6r 13SZ111   W84  C~52RT      
2014 10  28.16253  00 03 22.323  +03 29 54.91  23.1r 13SZ111   W84  C~52RT      
2014 10  28.16809  00 03 22.303  +03 29 55.10  23.1i 13SZ111   W84  C~52RT      
2014 11  13.03961  00 02 23.566  +03 24 43.56  24.0g 13SZ111   W84  C~52RT      
2014 11  13.04097  00 02 23.570  +03 24 43.34  23.5i 13SZ111   W84  C~52RT      
2014 11  14.04307  00 02 20.491  +03 24 27.05  23.2r 13SZ111   W84  C~52RT      

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     0.25       0.00     0.07
     2   0.0056   -168.89     0.00      14.46     0.07
     3   0.0056   -169.05    -0.04      14.43     0.03
     4   0.0357  -1055.79    -0.06      87.52    -0.01
     5   0.0384  -1134.39    -0.03      93.71    -0.14
     6   0.0384  -1134.62    -0.15      93.86     0.00
     7   0.0411  -1210.91    -0.11     100.03     0.07
     8   0.0821  -2288.12    -0.03     185.76    -0.11
     9   0.1124  -2948.65     0.18     241.43    -0.00
    10   1.0817   3261.93    -0.08    2872.52    -0.04
    11   1.0817   3261.73     0.10    2872.82     0.22
    12   1.1251   2330.66     0.02    2936.67     0.14
    13   1.1251   2330.63     0.06    2936.45    -0.09
    14   1.1279   2281.84    -0.10    2939.84    -0.21

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.

13SZ111    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        41.703    41.973    41.494
ecceobj         0.128     0.146     0.113
incobj         25.878    25.891    25.864
qmin           35.409    34.874    35.440
qmax           47.923    49.144    47.414
amean          41.517    41.798    41.287
amin           41.171    41.449    40.953
amax           41.883    42.197    41.665
emean           0.128     0.146     0.118
emin            0.113     0.128     0.098
emax            0.145     0.165     0.139
imean          26.214    26.251    26.128
imin           25.751    25.750    25.600
imax           26.713    26.803    26.649
excite_mean     0.460     0.466     0.456
fracstop        1.000     1.000     1.000
cjmean          2.815     2.811     2.817

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       169.9     171.5     180.0
kozaiamp        180.0     180.0     179.9