Orbit Fit and Astrometric record for 13SQ112

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: 13SQ112   
# Created Tue Nov 30 02:12:04 2021
# Orbit generated from Bernstein formalism
# Fitting     10 observations of     10
# Arc:   4.96y
# First observation: 2013/09/30
#  Last observation: 2018/09/17
Preliminary a, adot, b, bdot, g, gdot:
   0.000210   0.026322   0.000024  -0.010680   0.027482   0.000000
# Chi-squared of fit:     5.16 DOF:     14 RMS:  0.13
# Min/Max residuals:    -0.19    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.629655E-05  2.638319E-02 -5.640312E-06 -1.068918E-02  2.673016E-02  6.171305E-04
# Covariance matrix:
  3.6181E-13 -6.9769E-14  6.8350E-15 -5.5641E-15  5.1714E-13  9.6856E-14
 -6.9769E-14  5.0295E-13  3.2340E-14 -1.9542E-13  3.0659E-13  4.2283E-12
  6.8350E-15  3.2340E-14  2.4796E-13 -7.7358E-14  5.4134E-14  3.0579E-13
 -5.5641E-15 -1.9542E-13 -7.7358E-14  1.2412E-13 -1.6710E-13 -1.7995E-12
  5.1714E-13  3.0659E-13  5.4134E-14 -1.6710E-13  2.5386E-12  3.5101E-12
  9.6856E-14  4.2283E-12  3.0579E-13 -1.7995E-12  3.5101E-12  3.8904E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    4.337295   -9.821151   -0.286000    0.072694   -0.957193  2456565.607658
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:           13.53336 +/-     0.105
Argument of Peri:      152.11909 +/-     0.132
Long of Asc Node:      180.90552 +/-     0.000
Inclination:            22.47705 +/-     0.000
Eccentricity:         0.10449844 +/-    0.0002
Semi-Major Axis:     42.67356106 +/-    0.0112
Time of Perihelion: 2452732.7812 +/-      29.7
Perihelion:          38.21424046 +/-    0.0129
Aphelion:            47.13288166 +/-    0.0148
Period (y)              278.7703 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.75147059 +/-    0.0022
Ecliptic Y           -6.24191776 +/-    0.0004
Ecliptic Z            2.82908009 +/-    0.0002
Ecliptic XDOT         0.00059847 +/-    0.0000
Ecliptic YDOT         0.00263651 +/-    0.0000
Ecliptic ZDOT        -0.00108679 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.36846052 +/-    0.0022
Geocenter to KBO     37.41092816 +/-    0.0022
# Hcoef:  7.94

The following table shows the complete astrometric record for 13SQ112. 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 (13SQ112) followed by the observatory code and reference code for the source of the astrometry.

2013 09  30.10688  23 17 05.473  +00 05 57.11  23.2r 13SQ112   W84  C~52RU      
2013 09  30.10834  23 17 05.478  +00 05 57.23  23.6i 13SQ112   W84  C~52RU      
2013 10  11.10239  23 16 19.385  -00 00 42.54  22.9z 13SQ112   W84  C~52RU      
2013 10  12.09486  23 16 15.487  -00 01 17.83  23.1z 13SQ112   W84  C~52RU      
2013 10  28.02510  23 15 21.278  -00 10 02.59  24.3r 13SQ112   W84  C~52RU      
2013 11  23.07693  23 14 35.260  -00 20 31.19  24.1r 13SQ112   W84  C~52RU      
2016 09  30.09304  23 36 33.786  +00 10 47.57  23.9r 13SQ112   W84  C~52RU      
2016 09  30.09441  23 36 33.802  +00 10 47.60  23.3i 13SQ112   W84  C~52RU      
2017 11  10.03539  23 40 32.223  -00 09 25.79  24.2r 13SQ112   W84  C~52RU      
2018 09  17.28139  23 50 32.070  +00 22 15.84  24.4g 13SQ112   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    -0.14       0.00    -0.14
     2   0.0000      0.12     0.09       0.08    -0.05
     3   0.0301   -792.65     0.12     -96.71     0.14
     4   0.0328   -860.28    -0.16    -106.26    -0.00
     5   0.0764  -1814.07     0.19    -270.33    -0.10
     6   0.1478  -2695.59    -0.08    -578.13     0.23
     7   3.0006  16276.10    -0.19   -6615.95    -0.03
     8   3.0007  16276.34     0.16   -6616.01    -0.09
     9   4.1121  19118.11    -0.03   -9151.42    -0.11
    10   4.9642  28277.85     0.04  -10967.95     0.16

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.

13SQ112    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        42.890    42.924    42.856
ecceobj         0.110     0.110     0.109
incobj         22.420    22.420    22.420
qmin           37.379    37.390    37.335
qmax           48.393    48.455    48.406
amean          42.758    42.795    42.731
amin           42.417    42.451    42.396
amax           43.132    43.163    43.095
emean           0.107     0.108     0.107
emin            0.094     0.094     0.093
emax            0.122     0.123     0.124
imean          22.318    22.311    22.312
imin           21.844    21.843    21.825
imax           22.721    22.732    22.741
excite_mean     0.395     0.395     0.395
fracstop        1.000     1.000     1.000
cjmean          2.896     2.896     2.896

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       187.4     185.7     183.8
kozaiamp        179.9     180.0     179.9