Orbit Fit and Astrometric record for 13SZ112

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: 13SZ112   
# Created Tue Apr  1 01:09:44 2025
# Orbit generated from Bernstein formalism
# Fitting     13 observations of     13
# Arc:   4.94y
# First observation: 2013/09/30
#  Last observation: 2018/09/10
Preliminary a, adot, b, bdot, g, gdot:
  -0.000052   0.023370  -0.000002   0.000516   0.024005   0.000000
# Chi-squared of fit:     2.38 DOF:     20 RMS:  0.08
# Min/Max residuals:    -0.15    0.19
# Exact a, adot, b, bdot, g, gdot:
  1.541145E-05  2.320626E-02  5.344614E-07  5.121142E-04  2.402570E-02 -8.906733E-04
# Covariance matrix:
  5.1816E-13 -2.4002E-13  7.6837E-16 -1.9496E-15  6.6052E-13 -8.6864E-13
 -2.4002E-13  4.2342E-13 -2.7825E-15  8.1081E-15 -4.4330E-14  3.6956E-12
  7.6837E-16 -2.7825E-15  3.1483E-13 -8.6850E-14 -1.1941E-15 -2.8031E-14
 -1.9496E-15  8.1081E-15 -8.6850E-14  3.7380E-14  4.7847E-15  8.2895E-14
  6.6052E-13 -4.4330E-14 -1.1941E-15  4.7847E-15  2.9047E-12  2.2709E-12
 -8.6864E-13  3.6956E-12 -2.8031E-14  8.2895E-14  2.2709E-12  3.7867E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.074733   -2.606695   -0.163775    0.001387   -0.988160  2456565.642328
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:          284.26126 +/-     0.304
Argument of Peri:       83.23813 +/-     0.340
Long of Asc Node:      354.32200 +/-     0.003
Inclination:             1.26970 +/-     0.000
Eccentricity:         0.03760260 +/-    0.0003
Semi-Major Axis:     42.95061908 +/-    0.0126
Time of Perihelion: 2478191.0778 +/-      86.3
Perihelion:          41.33556415 +/-    0.0167
Aphelion:            44.56567401 +/-    0.0174
Period (y)              281.4896 +/-      0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           42.57319190 +/-    0.0029
Ecliptic Y           -1.77120917 +/-    0.0002
Ecliptic Z            0.05429255 +/-    0.0000
Ecliptic XDOT         0.00001263 +/-    0.0000
Ecliptic YDOT         0.00264502 +/-    0.0000
Ecliptic ZDOT         0.00005836 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.61005513 +/-    0.0029
Geocenter to KBO     41.62209489 +/-    0.0030
# Hcoef:  7.26

The following table shows the complete astrometric record for 13SZ112. 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 (13SZ112) followed by the observatory code and reference code for the source of the astrometry.

2013 09  30.14155  23 50 18.825  -00 58 04.82  23.8r 13SZ112   W84  C~52RV      
2013 09  30.14301  23 50 18.827  -00 58 04.93  22.9i 13SZ112   W84  C~52RV      
2013 10  13.08435  23 49 24.686  -01 03 52.63  22.8i 13SZ112   W84  C~52RV      
2013 11  23.08533  23 47 26.713  -01 16 29.06  23.8r 13SZ112   W84  C~52RV      
2014 10  23.19731  23 53 36.141  -00 34 41.04  23.8r 13SZ112   W84  C~52RV      
2016 09  11.19828  00 06 11.312  +00 50 47.21  23.2i 13SZ112   W84  C~52RV      
2016 09  22.11486  00 05 23.709  +00 45 41.49  23.4r 13SZ112   W84  C~52RV      
2016 10  02.16787  00 04 39.434  +00 40 56.81  23.2r 13SZ112   W84  C~52RV      
2016 10  02.16925  00 04 39.414  +00 40 56.75  22.8i 13SZ112   W84  C~52RV      
2017 09  27.16629  00 09 53.597  +01 16 51.58  23.1z 13SZ112   W84  C~52RV      
2017 09  27.18691  00 09 53.511  +01 16 50.99  23.7r 13SZ112   W84  C~52RV      
2017 09  27.18828  00 09 53.501  +01 16 50.92  23.4i 13SZ112   W84  C~52RV      
2018 09  10.20572  00 16 00.376  +01 58 19.42  23.4i 13SZ112   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    -0.03       0.00    -0.04
     2   0.0000     -0.02     0.06      -0.11    -0.15
     3   0.0354   -883.31     0.02       3.50     0.07
     4   0.1477  -2807.61    -0.07      12.20     0.05
     5   1.0624   3273.89     0.06     111.67     0.19
     6   2.9488  15736.47    -0.03     313.33    -0.05
     7   2.9787  14955.50    -0.09     316.58    -0.09
     8   3.0062  14229.37     0.10     319.33    -0.04
     9   3.0062  14229.07    -0.10     319.39     0.03
    10   3.9919  19444.17    -0.01     424.91     0.01
    11   3.9919  19442.74     0.09     424.88    -0.04
    12   3.9919  19442.57     0.02     424.88    -0.04
    13   4.9447  25551.56    -0.02     527.12     0.11

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.

13SZ112    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.186    43.223    43.148
ecceobj         0.038     0.038     0.038
incobj          1.265     1.265     1.265
qmin           40.004    40.063    39.992
qmax           46.175    46.197    46.148
amean          42.998    43.036    42.961
amin           42.658    42.696    42.637
amax           43.349    43.388    43.303
emean           0.047     0.047     0.047
emin            0.025     0.026     0.026
emax            0.066     0.065     0.066
imean           2.222     2.209     2.235
imin            0.948     0.963     0.959
imax            3.094     3.078     3.109
excite_mean     0.062     0.062     0.062
fracstop        1.000     1.000     1.000
cjmean          3.085     3.085     3.084

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       180.1     179.5     180.5
kozaiamp        180.0     180.0     180.0