Orbit Fit and Astrometric record for 13SO112

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: 13SO112   
# Created Fri Dec  3 02:12:01 2021
# Orbit generated from Bernstein formalism
# Fitting      9 observations of      9
# Arc:   4.13y
# First observation: 2013/09/30
#  Last observation: 2017/11/15
Preliminary a, adot, b, bdot, g, gdot:
   0.000153   0.016238  -0.000011  -0.007124   0.021288   0.000000
# Chi-squared of fit:     1.15 DOF:     12 RMS:  0.06
# Min/Max residuals:    -0.15    0.17
# Exact a, adot, b, bdot, g, gdot:
  1.261111E-05  1.665251E-02 -6.362204E-06 -7.334217E-03  2.087112E-02  5.844603E-03
# Covariance matrix:
  3.9769E-13 -5.1066E-14  9.9155E-15 -6.4767E-15  5.2958E-13  2.3997E-13
 -5.1066E-14  2.6762E-12  1.2441E-13 -1.2950E-12  1.0874E-12  4.4434E-11
  9.9155E-15  1.2441E-13  3.0653E-13 -1.3949E-13  9.7152E-14  2.0823E-12
 -6.4767E-15 -1.2950E-12 -1.3949E-13  6.8539E-13 -4.9728E-13 -2.1902E-11
  5.2958E-13  1.0874E-12  9.7152E-14 -4.9728E-13  3.2025E-12  1.7157E-11
  2.3997E-13  4.4434E-11  2.0823E-12 -2.1902E-11  1.7157E-11  7.5147E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    5.902182  -16.143809   -0.389613    0.094982   -0.917871  2456565.584788
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:           66.00355 +/-     0.167
Argument of Peri:       63.56532 +/-     0.081
Long of Asc Node:      177.16979 +/-     0.000
Inclination:            24.51026 +/-     0.001
Eccentricity:         0.31352466 +/-    0.0014
Semi-Major Axis:     50.52058647 +/-    0.0533
Time of Perihelion: 2432513.2287 +/-      47.4
Perihelion:          34.68113687 +/-    0.0779
Aphelion:            66.36003607 +/-    0.0982
Period (y)              359.0962 +/-      0.57
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           46.77425631 +/-    0.0039
Ecliptic Y          -13.13088486 +/-    0.0012
Ecliptic Z            4.92660739 +/-    0.0004
Ecliptic XDOT         0.00142880 +/-    0.0000
Ecliptic YDOT         0.00185743 +/-    0.0000
Ecliptic ZDOT        -0.00087802 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   48.83157433 +/-    0.0038
Geocenter to KBO     47.91309812 +/-    0.0041
# Hcoef:  6.91

The following table shows the complete astrometric record for 13SO112. 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 (13SO112) followed by the observatory code and reference code for the source of the astrometry.

2013 09  30.08401  22 51 26.615  -00 53 52.35  23.3i 13SO112   W84  C~52RU      
2013 10  10.10644  22 50 54.486  -00 58 36.39  24.0r 13SO112   W84  C~52RU      
2013 10  11.09940  22 50 51.538  -00 59 03.73  23.5z 13SO112   W84  C~52RU      
2013 10  12.07240  22 50 48.706  -00 59 30.36  23.5i 13SO112   W84  C~52RU      
2013 11  23.06502  22 49 41.846  -01 14 08.96  24.0r 13SO112   W84  C~52RU      
2016 09  26.12252  23 03 55.539  -00 56 22.81  23.6i 13SO112   W84  C~52RU      
2017 09  27.13996  23 07 52.555  -00 58 07.70  23.7r 13SO112   W84  C~52RU      
2017 11  15.04649  23 05 51.466  -01 17 25.64  24.1r 13SO112   W84  C~52RU      
2017 11  15.04786  23 05 51.463  -01 17 25.68  23.6i 13SO112   W84  C~52RU      

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     0.00       0.00     0.17
     2   0.0274   -553.84     0.03     -78.35    -0.04
     3   0.0302   -605.15    -0.04     -86.72    -0.06
     4   0.0328   -654.57     0.01     -95.10    -0.15
     5   0.1478  -1916.95    -0.00    -523.98     0.09
     6   2.9898  10330.73    -0.02   -4440.24    -0.06
     7   3.9919  13587.18     0.02   -5904.65     0.04
     8   4.1258  11457.66     0.01   -6277.34     0.00
     9   4.1258  11457.60    -0.02   -6277.36    -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.

13SO112    quality flag:2

Type:       SCATNEAR11:5EEEEEE  SCATNEAR

axisobj        50.761    50.915    50.607
ecceobj         0.313     0.317     0.310
incobj         24.438    24.440    24.437
qmin           33.903    33.369    34.029
qmax           68.259    69.300    67.921
amean          50.738    50.931    50.595
amin           50.237    50.361    50.097
amax           51.358    51.606    51.222
emean           0.309     0.322     0.307
emin            0.288     0.297     0.286
emax            0.330     0.344     0.327
imean          24.412    23.993    24.380
imin           23.607    23.277    23.609
imax           25.070    24.951    25.030
excite_mean     0.516     0.519     0.514
fracstop        1.000     1.000     1.000
cjmean          2.841     2.840     2.842

libcent 0      -180.0     180.5    -180.0
libamp  0      -180.0     123.7    -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       171.6     160.5     171.7
kozaiamp        180.0     180.0     180.0