Orbit Fit and Astrometric record for 13SA113

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: 13SA113   
# Created Fri Dec  3 02:12:02 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     12 observations of     12
# Arc:   8.10y
# First observation: 2013/09/30
#  Last observation: 2021/11/05
# Chi-squared of fit:     2.93 DOF:     18 RMS:  0.09
# Min/Max residuals:    -0.19    0.19
# Exact a, adot, b, bdot, g, gdot:
  1.427706E-05  2.184194E-02  4.893728E-06  8.191991E-03  2.447155E-02 -4.510340E-04
# Covariance matrix:
  3.8818E-13 -1.4811E-13  3.9436E-14 -4.6791E-14  2.1273E-13 -6.9083E-13
 -1.4811E-13  1.4593E-13 -4.4771E-14  5.3437E-14  3.3786E-14  7.7939E-13
  3.9436E-14 -4.4771E-14  2.7867E-13 -6.0714E-14  1.1470E-14 -2.6872E-13
 -4.6791E-14  5.3437E-14 -6.0714E-14  3.4559E-14 -1.2062E-14  3.2024E-13
  2.1273E-13  3.3786E-14  1.1470E-14 -1.2062E-14  1.4086E-12 -2.2482E-13
 -6.9083E-13  7.7939E-13 -2.6872E-13  3.2024E-13 -2.2482E-13  4.6855E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.086968   -0.614154   -0.129420    0.001607   -0.993242  2456565.648228
# Heliocentric elements and errors
Epoch:              2456566.5000  =  2013/10/01
Mean Anomaly:          207.93468 +/-     0.129
Argument of Peri:      154.43867 +/-     0.119
Long of Asc Node:      359.34025 +/-     0.000
Inclination:            20.57134 +/-     0.000
Eccentricity:         0.04146803 +/-    0.0001
Semi-Major Axis:     40.36354931 +/-    0.0073
Time of Perihelion: 2496131.4056 +/-      36.7
Perihelion:          38.68975247 +/-    0.0091
Aphelion:            42.03734615 +/-    0.0096
Period (y)              256.4438 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           41.85555123 +/-    0.0020
Ecliptic Y           -0.31621539 +/-    0.0000
Ecliptic Z            0.06220705 +/-    0.0000
Ecliptic XDOT        -0.00003183 +/-    0.0000
Ecliptic YDOT         0.00244274 +/-    0.0000
Ecliptic ZDOT         0.00091657 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.85680343 +/-    0.0020
Geocenter to KBO     40.86383420 +/-    0.0020
# Hcoef:  7.79

The following table shows the complete astrometric record for 13SA113. 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 (13SA113) followed by the observatory code and reference code for the source of the astrometry.

2013 09  30.14745  23 57 36.463  -00 09 52.20  23.7r 13SA113   W84  C~52RV      
2013 09  30.14891  23 57 36.456  -00 09 52.45  23.9i 13SA113   W84  C~52RV      
2013 10  13.08744  23 56 38.417  -00 15 05.01  23.7i 13SA113   W84  C~52RV      
2013 10  28.05807  23 55 38.482  -00 20 20.76  24.2r 13SA113   W84  C~52RV      
2015 11  07.07038  00 02 44.190  +01 27 36.63  23.8r 13SA113   W84  C~52RV      
2016 09  22.12447  00 09 44.781  +02 40 31.62  23.7r 13SA113   W84  C~52RV      
2016 09  22.12586  00 09 44.749  +02 40 31.82  24.5g 13SA113   W84  C~52RV      
2016 12  05.07754  00 05 30.082  +02 17 30.56  23.5r 13SA113   W84  C~52RV      
2017 09  27.17592  00 13 13.750  +03 34 13.18  24.2r 13SA113   W84  C~52RV      
2021 11  05.117140 00 25 58.904  +07 00 54.64  23.9G 13SA113   G37  C~5BQk      
2021 11  05.166880 00 25 58.712  +07 00 53.61        13SA113   G37  C~5BQk      
2021 11  05.215510 00 25 58.526  +07 00 52.42        13SA113   G37  C~5BQk      

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    -0.06       0.00     0.06
     2   0.0000      0.00    -0.07       0.00    -0.15
     3   0.0354      0.00     0.10       0.00     0.04
     4   0.0764      0.00     0.05       0.00     0.03
     5   2.1025      0.00     0.05       0.00     0.04
     6   2.9787      0.00     0.19       0.00    -0.11
     7   2.9787      0.00    -0.19       0.00     0.12
     8   3.1812      0.00    -0.08       0.00    -0.01
     9   3.9919      0.00     0.06       0.00     0.01
    10   8.0985      0.00     0.05       0.00    -0.03
    11   8.0986      0.00    -0.02       0.00     0.05
    12   8.0987      0.00    -0.05       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.

13SA113    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.553    40.553    40.553
ecceobj         0.036     0.036     0.036
incobj         20.505    20.505    20.505
qmin           37.992    37.998    37.987
qmax           43.030    43.034    43.026
amean          40.404    40.402    40.403
amin           40.102    40.096    40.106
amax           40.715    40.709    40.710
emean           0.043     0.043     0.043
emin            0.031     0.031     0.032
emax            0.058     0.058     0.058
imean          20.655    20.654    20.654
imin           19.981    19.983    19.980
imax           21.230    21.218    21.216
excite_mean     0.355     0.355     0.355
fracstop        1.000     1.000     1.000
cjmean          2.910     2.910     2.910

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       182.0     181.5     181.9
kozaiamp        179.9     180.0     180.0