Orbit Fit and Astrometric record for 13SD113

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: 13SD113   
# Created Fri Dec  3 02:12:02 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     22 observations of     22
# Arc:   5.16y
# First observation: 2013/09/30
#  Last observation: 2018/11/27
# Chi-squared of fit:     9.12 DOF:     38 RMS:  0.11
# Min/Max residuals:    -0.23    0.34
# Exact a, adot, b, bdot, g, gdot:
  1.646648E-05  2.579311E-02  5.575439E-06  8.392665E-03  2.567292E-02 -1.217298E-03
# Covariance matrix:
  2.7860E-13 -1.4134E-13  1.5417E-14 -3.1474E-14  5.8987E-14 -7.7188E-13
 -1.4134E-13  2.1822E-13 -3.8615E-14  7.1527E-14  6.7523E-14  1.7625E-12
  1.5417E-14 -3.8615E-14  2.3130E-13 -7.3093E-14 -1.6695E-14 -3.4596E-13
 -3.1474E-14  7.1527E-14 -7.3093E-14  4.8406E-14  1.8439E-14  6.4541E-13
  5.8987E-14  6.7523E-14 -1.6695E-14  1.8439E-14  3.9720E-13  4.7005E-13
 -7.7188E-13  1.7625E-12 -3.4596E-13  6.4541E-13  4.7005E-13  1.5898E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -7.945486    2.981635   -0.067264   -0.138044   -0.989792  2456565.670898
# Heliocentric elements and errors
Epoch:              2456566.5000  =  2013/10/01
Mean Anomaly:          343.99897 +/-     0.051
Argument of Peri:      357.50078 +/-     0.068
Long of Asc Node:       25.57044 +/-     0.000
Inclination:            19.58003 +/-     0.000
Eccentricity:         0.13810904 +/-    0.0001
Semi-Major Axis:     45.96026387 +/-    0.0053
Time of Perihelion: 2461624.9519 +/-      24.8
Perihelion:          39.61273597 +/-    0.0060
Aphelion:            52.30779176 +/-    0.0072
Period (y)              311.5889 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           39.51948641 +/-    0.0009
Ecliptic Y            2.12889183 +/-    0.0000
Ecliptic Z           -5.38411118 +/-    0.0001
Ecliptic XDOT        -0.00015409 +/-    0.0000
Ecliptic YDOT         0.00274536 +/-    0.0000
Ecliptic ZDOT         0.00090451 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.94136870 +/-    0.0009
Geocenter to KBO     38.95161318 +/-    0.0010
# Hcoef:  7.40

The following table shows the complete astrometric record for 13SD113. 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 (13SD113) followed by the observatory code and reference code for the source of the astrometry.

2013 09  30.17012  00 23 36.567  -06 06 14.14  22.9r 13SD113   W84  C~52RV      
2013 09  30.17161  00 23 36.585  -06 06 13.99  22.8i 13SD113   W84  C~52RV      
2013 11  08.07750  00 20 46.448  -06 17 43.49  23.9r 13SD113   W84  C~52RV      
2013 11  08.07887  00 20 46.460  -06 17 43.42  23.0i 13SD113   W84  C~52RV      
2013 11  08.08025  00 20 46.437  -06 17 43.59  23.5z 13SD113   W84  C~52RV      
2014 10  03.26882  00 28 02.969  -05 05 27.67  23.5z 13SD113   W84  C~52RV      
2014 10  03.27018  00 28 02.946  -05 05 27.59  22.6i 13SD113   W84  C~52RV      
2016 09  09.27364  00 39 11.795  -02 50 31.71  23.1r 13SD113   W84  C~52RV      
2016 09  09.27503  00 39 11.790  -02 50 31.98  23.3i 13SD113   W84  C~52RV      
2016 09  09.27641  00 39 11.793  -02 50 32.06  24.0g 13SD113   W84  C~52RV      
2016 11  06.19390  00 34 46.752  -03 12 15.05  22.9i 13SD113   W84  C~52RV      
2016 11  18.07307  00 34 05.670  -03 14 05.66  22.8r 13SD113   W84  C~52RV      
2016 11  18.07445  00 34 05.672  -03 14 05.97  24.4g 13SD113   W84  C~52RV      
2016 11  26.09648  00 33 43.596  -03 14 34.70  23.5r 13SD113   W84  C~52RV      
2016 11  26.09786  00 33 43.588  -03 14 34.70  24.2g 13SD113   W84  C~52RV      
2017 09  18.24703  00 43 11.526  -01 51 50.21  23.0i 13SD113   W84  C~52RV      
2017 09  18.24840  00 43 11.507  -01 51 50.25  23.5r 13SD113   W84  C~52RV      
2017 10  20.16631  00 40 39.127  -02 04 58.10  22.7i 13SD113   W84  C~52RV      
2017 10  22.15797  00 40 29.941  -02 05 39.18  23.0z 13SD113   W84  C~52RV      
2018 11  08.17949  00 43 57.011  -01 07 55.04  23.8r 13SD113   W84  C~52RV      
2018 11  08.18087  00 43 57.008  -01 07 55.24  23.1i 13SD113   W84  C~52RV      
2018 11  27.08311  00 42 54.897  -01 10 44.28  24.1g 13SD113   W84  C~52RV      

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    -0.08       0.00    -0.12
     2   0.0000      0.00     0.30       0.00     0.06
     3   0.1065      0.00    -0.10       0.00     0.04
     4   0.1065      0.00     0.15       0.00     0.12
     5   0.1065      0.00    -0.12       0.00    -0.04
     6   1.0078      0.00     0.02       0.00    -0.16
     7   1.0078      0.00    -0.23       0.00    -0.05
     8   2.9435      0.00    -0.04       0.00     0.22
     9   2.9435      0.00    -0.03       0.00    -0.02
    10   2.9435      0.00     0.11       0.00    -0.06
    11   3.1021      0.00     0.02       0.00    -0.05
    12   3.1346      0.00    -0.01       0.00     0.34
    13   3.1346      0.00     0.09       0.00     0.04
    14   3.1565      0.00     0.01       0.00     0.01
    15   3.1565      0.00    -0.06       0.00     0.01
    16   3.9674      0.00     0.11       0.00     0.02
    17   3.9674      0.00    -0.08       0.00     0.01
    18   4.0547      0.00     0.09       0.00    -0.17
    19   4.0602      0.00    -0.07       0.00    -0.14
    20   5.1061      0.00    -0.02       0.00     0.10
    21   5.1061      0.00     0.02       0.00    -0.08
    22   5.1579      0.00     0.03       0.00    -0.02

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.

13SD113    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        46.239    46.239    46.239
ecceobj         0.143     0.143     0.143
incobj         19.543    19.543    19.543
qmin           38.729    38.732    38.727
qmax           53.534    53.519    53.496
amean          45.968    45.968    45.968
amin           45.581    45.588    45.595
amax           46.392    46.384    46.386
emean           0.141     0.141     0.141
emin            0.128     0.128     0.128
emax            0.154     0.154     0.154
imean          19.122    19.122    19.122
imin           18.863    18.858    18.865
imax           19.514    19.509    19.513
excite_mean     0.357     0.357     0.357
fracstop        1.000     1.000     1.000
cjmean          2.966     2.966     2.966

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       169.8     169.9     169.8
kozaiamp        180.0     180.0     180.0