Orbit Fit and Astrometric record for 13SS112

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: 13SS112   
# Created Thu Dec  9 02:11:58 2021
# Orbit generated from Bernstein formalism
# Fitting     11 observations of     11
# Arc:   4.96y
# First observation: 2013/09/30
#  Last observation: 2018/09/17
Preliminary a, adot, b, bdot, g, gdot:
   0.000204   0.024861   0.000063  -0.006183   0.026766   0.000000
# Chi-squared of fit:     6.70 DOF:     16 RMS:  0.14
# Min/Max residuals:    -0.38    0.24
# Exact a, adot, b, bdot, g, gdot:
  1.589992E-05  2.461271E-02 -1.934586E-06 -6.098765E-03  2.559243E-02 -2.094841E-03
# Covariance matrix:
  3.9487E-13 -1.2192E-13  6.6078E-15  4.9683E-15  5.0305E-13 -2.2586E-13
 -1.2192E-13  4.3759E-13  3.2737E-14 -1.0414E-13  2.8308E-13  3.5804E-12
  6.6078E-15  3.2737E-14  2.6518E-13 -7.4532E-14  7.1353E-14  3.1435E-13
  4.9683E-15 -1.0414E-13 -7.4532E-14  6.0592E-14 -1.1451E-13 -9.4283E-13
  5.0305E-13  2.8308E-13  7.1353E-14 -1.1451E-13  2.5468E-12  3.6987E-12
 -2.2586E-13  3.5804E-12  3.1435E-13 -9.4283E-13  3.6987E-12  3.2294E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    4.904063  -13.607112   -0.348934    0.080361   -0.935458  2456565.618358
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:          274.32552 +/-     0.120
Argument of Peri:      255.15883 +/-     0.138
Long of Asc Node:      185.46251 +/-     0.000
Inclination:            14.74316 +/-     0.000
Eccentricity:         0.07549219 +/-    0.0002
Semi-Major Axis:     40.01123020 +/-    0.0099
Time of Perihelion: 2478560.3771 +/-      29.6
Perihelion:          36.99069475 +/-    0.0128
Aphelion:            43.03176565 +/-    0.0139
Period (y)              253.0935 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           38.83266945 +/-    0.0024
Ecliptic Y           -9.03771863 +/-    0.0006
Ecliptic Z            3.34025452 +/-    0.0002
Ecliptic XDOT         0.00045048 +/-    0.0000
Ecliptic YDOT         0.00259722 +/-    0.0000
Ecliptic ZDOT        -0.00066907 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.01017215 +/-    0.0023
Geocenter to KBO     39.07405507 +/-    0.0024
# Hcoef:  7.90

The following table shows the complete astrometric record for 13SS112. 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 (13SS112) followed by the observatory code and reference code for the source of the astrometry.

2013 09  30.11758  23 02 18.298  -00 50 54.12  23.2r 13SS112   W84  C~52RV      
2013 09  30.11904  23 02 18.296  -00 50 53.89  23.4i 13SS112   W84  C~52RV      
2013 10  11.10096  23 01 35.104  -00 56 47.58  23.6z 13SS112   W84  C~52RV      
2013 10  28.02363  23 00 42.139  -01 04 55.08  23.8r 13SS112   W84  C~52RV      
2013 11  23.07182  23 00 04.535  -01 13 35.28  24.1r 13SS112   W84  C~52RV      
2014 10  23.11405  23 06 39.009  -00 49 19.73  23.7r 13SS112   W84  C~52RV      
2016 09  26.13353  23 19 52.597  -00 08 29.51  24.5r 13SS112   W84  C~52RV      
2016 09  26.13627  23 19 52.571  -00 08 29.54  23.9g 13SS112   W84  C~52RV      
2017 11  09.04060  23 23 08.281  -00 16 32.59  24.4r 13SS112   W84  C~52RV      
2018 09  17.27443  23 32 14.858  +00 24 00.80  24.0r 13SS112   W84  C~52RV      
2018 09  17.27580  23 32 14.854  +00 24 00.78  24.2g 13SS112   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    -0.14       0.00    -0.38
     2   0.0000      0.06     0.02       0.22    -0.15
     3   0.0301   -734.11     0.21     -75.50     0.22
     4   0.0764  -1655.20     0.05    -218.03     0.24
     5   0.1477  -2376.45    -0.15    -479.84     0.13
     6   1.0623   3642.86     0.03   -1425.54    -0.05
     7   2.9898  15597.57     0.06   -3781.76    -0.07
     8   2.9898  15597.20    -0.10   -3781.64     0.07
     9   4.1093  18135.46     0.02   -5372.53    -0.09
    10   4.9642  26743.25    -0.02   -6324.25     0.03
    11   4.9642  26743.19     0.03   -6324.25     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.

13SS112    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.197    40.226    40.168
ecceobj         0.075     0.075     0.075
incobj         14.705    14.704    14.705
qmin           34.917    35.220    35.055
qmax           45.719    45.325    45.456
amean          40.104    40.124    40.077
amin           39.755    39.771    39.725
amax           40.497    40.486    40.419
emean           0.090     0.091     0.090
emin            0.062     0.064     0.064
emax            0.129     0.121     0.125
imean          15.673    15.643    15.686
imin           14.413    14.414    14.411
imax           17.180    17.124    17.280
excite_mean     0.285     0.285     0.285
fracstop        1.000     1.000     1.000
cjmean          2.965     2.965     2.965

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       179.3     180.5     179.3
kozaiamp        180.0     179.9     180.0