Orbit Fit and Astrometric record for 13SY112

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: 13SY112   
# Created Fri Dec  3 02:12:02 2021
# Orbit generated from Bernstein formalism
# Fitting      8 observations of      8
# Arc:   2.10y
# First observation: 2013/09/30
#  Last observation: 2015/11/07
Preliminary a, adot, b, bdot, g, gdot:
  -0.000009   0.023200   0.000006   0.005427   0.025673   0.000000
# Chi-squared of fit:     2.83 DOF:     10 RMS:  0.11
# Min/Max residuals:    -0.20    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.401044E-05  2.364235E-02  3.629513E-06  5.548197E-03  2.596666E-02  7.849138E-03
# Covariance matrix:
  5.7948E-13  3.0046E-13  5.4948E-15  2.6059E-14  2.0673E-12  1.0016E-12
  3.0046E-13  6.1249E-12 -7.9497E-14  1.5658E-12  4.9780E-12  1.4922E-10
  5.4948E-15 -7.9497E-14  2.4794E-13 -1.7376E-13 -2.8494E-15 -2.4757E-12
  2.6059E-14  1.5658E-12 -1.7376E-13  8.2049E-13  8.1260E-13  4.3978E-11
  2.0673E-12  4.9780E-12 -2.8494E-15  8.1260E-13  1.3762E-11  6.9092E-11
  1.0016E-12  1.4922E-10 -2.4757E-12  4.3978E-11  6.9092E-11  4.2438E-09
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.605603   -5.916183   -0.220497    0.044516   -0.976056  2456565.639328
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:           78.85389 +/-     0.405
Argument of Peri:      256.51677 +/-     0.192
Long of Asc Node:      343.74858 +/-     0.001
Inclination:            13.49262 +/-     0.002
Eccentricity:         0.31263314 +/-    0.0021
Semi-Major Axis:     38.10396339 +/-    0.0586
Time of Perihelion: 2437742.4648 +/-      86.3
Perihelion:          26.19140155 +/-    0.0898
Aphelion:            50.01652523 +/-    0.1112
Period (y)              235.2141 +/-      0.54
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           39.26042087 +/-    0.0055
Ecliptic Y           -3.84375489 +/-    0.0006
Ecliptic Z            1.75085330 +/-    0.0003
Ecliptic XDOT         0.00104665 +/-    0.0000
Ecliptic YDOT         0.00239570 +/-    0.0000
Ecliptic ZDOT         0.00062214 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.48696729 +/-    0.0054
Geocenter to KBO     38.51091569 +/-    0.0055
# Hcoef:  7.86

The following table shows the complete astrometric record for 13SY112. 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 (13SY112) followed by the observatory code and reference code for the source of the astrometry.

2013 09  30.13855  23 34 08.991  +00 02 35.00  23.8r 13SY112   W84  C~52RV      
2013 09  30.14003  23 34 08.980  +00 02 35.00  23.4i 13SY112   W84  C~52RV      
2013 10  11.10946  23 33 19.159  -00 02 25.99  23.4z 13SY112   W84  C~52RV      
2013 10  12.10342  23 33 14.855  -00 02 52.32  23.7i 13SY112   W84  C~52RV      
2013 10  13.07263  23 33 10.714  -00 03 17.75  23.5i 13SY112   W84  C~52RV      
2013 10  28.04096  23 32 13.121  -00 09 16.92  24.0r 13SY112   W84  C~52RV      
2014 10  28.15544  23 36 38.636  +00 39 47.99  24.0r 13SY112   W84  C~52RV      
2015 11  07.04382  23 40 28.773  +01 24 38.66  24.2g 13SY112   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    -0.05
     2   0.0000     -0.15     0.04       0.07     0.01
     3   0.0300   -805.58     0.09      19.32    -0.04
     4   0.0328   -875.29    -0.14      20.68    -0.02
     5   0.0354   -942.40    -0.20      21.90    -0.03
     6   0.0764  -1877.95     0.11      33.85     0.22
     7   1.0760   2945.16     0.04    1162.83    -0.17
     8   2.1024   7182.32    -0.02    2270.02     0.08

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.

13SY112    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        38.275    38.439    38.115
ecceobj         0.312     0.317     0.307
incobj         13.451    13.453    13.449
qmin           25.603    25.045    25.963
qmax           50.751    52.416    51.281
amean          37.779    38.276    38.303
amin           36.462    37.305    37.838
amax           38.383    39.314    38.988
emean           0.312     0.326     0.310
emin            0.292     0.298     0.296
emax            0.322     0.341     0.322
imean          14.336    14.425    14.641
imin           14.102    13.418    14.047
imax           14.940    16.836    15.340
excite_mean     0.399     0.411     0.400
fracstop        0.012     0.068     0.014
cjmean          2.854     2.848     2.856

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       272.7     184.7     275.7
kozaiamp         14.8     179.7      20.0