Orbit Fit and Astrometric record for 13SG112

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: 13SG112   
# Created Fri Dec  3 02:12:01 2021
# Orbit generated from Bernstein formalism
# Fitting      8 observations of      8
# Arc:   4.94y
# First observation: 2013/09/29
#  Last observation: 2018/09/09
Preliminary a, adot, b, bdot, g, gdot:
   0.000328   0.029286  -0.000017   0.001530   0.027756   0.000000
# Chi-squared of fit:     2.31 DOF:     10 RMS:  0.09
# Min/Max residuals:    -0.16    0.24
# Exact a, adot, b, bdot, g, gdot:
  1.798014E-05  2.956035E-02  1.118023E-06  1.539101E-03  2.719109E-02  2.074717E-03
# Covariance matrix:
  7.2795E-13 -2.4236E-13 -6.7832E-15 -9.1168E-16  5.1524E-13 -3.3383E-13
 -2.4236E-13  5.0971E-13 -8.6018E-15  2.4154E-14  1.1907E-13  3.5754E-12
 -6.7832E-15 -8.6018E-15  4.8344E-13 -1.3050E-13 -2.4648E-14 -9.0679E-14
 -9.1168E-16  2.4154E-14 -1.3050E-13  5.8177E-14  1.9121E-14  2.0366E-13
  5.1524E-13  1.1907E-13 -2.4648E-14  1.9121E-14  1.3986E-12  2.3312E-12
 -3.3383E-13  3.5754E-12 -9.0679E-14  2.0366E-13  2.3312E-12  2.9638E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.935511   -1.121310   -0.122509   -0.050821   -0.993114  2456564.723338
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:           23.04387 +/-     0.049
Argument of Peri:      284.71640 +/-     0.071
Long of Asc Node:       42.80337 +/-     0.004
Inclination:             4.13081 +/-     0.000
Eccentricity:         0.15497636 +/-    0.0002
Semi-Major Axis:     43.81412701 +/-    0.0093
Time of Perihelion: 2449779.8297 +/-      14.3
Perihelion:          37.02397321 +/-    0.0108
Aphelion:            50.60428082 +/-    0.0131
Period (y)              290.0210 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.71768565 +/-    0.0016
Ecliptic Y           -0.61261724 +/-    0.0001
Ecliptic Z           -1.88339257 +/-    0.0001
Ecliptic XDOT         0.00026860 +/-    0.0000
Ecliptic YDOT         0.00297028 +/-    0.0000
Ecliptic ZDOT         0.00014421 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.76964757 +/-    0.0016
Geocenter to KBO     36.77675106 +/-    0.0016
# Hcoef:  8.15

The following table shows the complete astrometric record for 13SG112. 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 (13SG112) followed by the observatory code and reference code for the source of the astrometry.

2013 09  29.22256  00 00 33.603  -03 08 20.72  23.8r 13SG112   W84  C~52RU      
2013 11  08.15222  23 57 47.234  -03 24 05.76  24.3r 13SG112   W84  C~52RU      
2013 11  23.10292  23 57 11.042  -03 26 41.92  23.7i 13SG112   W84  C~52RU      
2016 09  10.33231  00 20 06.911  -00 43 32.40  23.7i 13SG112   W84  C~52RU      
2016 09  10.33370  00 20 06.911  -00 43 32.25  23.8r 13SG112   W84  C~52RU      
2016 11  26.11692  00 14 55.138  -01 13 44.68  23.6i 13SG112   W84  C~52RU      
2017 09  27.21439  00 24 44.805  -00 07 13.99  23.1i 13SG112   W84  C~52RU      
2018 09  09.32865  00 32 05.404  +00 46 23.84  24.2r 13SG112   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    -0.16       0.00    -0.05
     2   0.1093  -2661.91     0.24     124.61     0.07
     3   0.1503  -3221.35    -0.09     196.79     0.03
     4   2.9490  19654.46    -0.03     932.74    -0.12
     5   2.9490  19654.52     0.14     932.88     0.01
     6   3.1592  14609.36    -0.05    1145.80    -0.02
     7   3.9945  24400.34    -0.06    1260.00     0.03
     8   4.9448  31882.65     0.01    1563.74     0.05

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.

13SG112    quality flag:2

Type:       SCATNEAR  SCATNEAR    7:4EEE

axisobj        44.086    44.115    44.057
ecceobj         0.161     0.161     0.160
incobj          4.128     4.128     4.128
qmin           35.755    35.477    36.540
qmax           52.409    52.626    51.533
amean          43.727    43.854    43.726
amin           43.214    43.248    43.255
amax           44.313    44.297    44.248
emean           0.159     0.132     0.152
emin            0.125     0.093     0.140
emax            0.183     0.189     0.165
imean           2.482     3.236     2.767
imin            0.836     1.852     1.749
imax            3.892     4.197     3.814
excite_mean     0.165     0.144     0.160
fracstop        1.000     1.000     1.000
cjmean          3.064     3.073     3.067

libcent 0      -180.0    -180.0     178.8
libamp  0      -180.0    -180.0     134.2
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       183.4     183.8     205.3
kozaiamp        180.0     179.9     179.9