Orbit Fit and Astrometric record for 13SD112

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: 13SD112   
# Created Wed Dec  8 02:12:04 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     16 observations of     16
# Arc:   5.05y
# First observation: 2013/09/28
#  Last observation: 2018/10/18
# Chi-squared of fit:     5.57 DOF:     26 RMS:  0.10
# Min/Max residuals:    -0.22    0.19
# Exact a, adot, b, bdot, g, gdot:
  1.702604E-05  3.372940E-02  1.482747E-06  2.008450E-03  3.067940E-02  2.188176E-03
# Covariance matrix:
  6.6495E-13 -3.6498E-13  6.8031E-15 -1.3556E-14  1.7929E-13 -1.3407E-12
 -3.6498E-13  4.5152E-13 -1.6519E-14  2.4957E-14  1.1570E-13  2.4154E-12
  6.8031E-15 -1.6519E-14  4.3026E-13 -1.0661E-13 -1.6125E-14 -1.0256E-13
 -1.3556E-14  2.4957E-14 -1.0661E-13  3.4573E-14  1.3342E-14  1.4807E-13
  1.7929E-13  1.1570E-13 -1.6125E-14  1.3342E-14  8.7585E-13  1.1947E-12
 -1.3407E-12  2.4154E-12 -1.0256E-13  1.4807E-13  1.1947E-12  1.4270E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -4.333870    9.613201    0.083920   -0.075380   -0.995910  2456563.612538
# Heliocentric elements and errors
Epoch:              2456564.5000  =  2013/09/29
Mean Anomaly:           55.68490 +/-     0.063
Argument of Peri:      246.09800 +/-     0.076
Long of Asc Node:       60.60121 +/-     0.002
Inclination:             5.39499 +/-     0.000
Eccentricity:         0.07019242 +/-    0.0001
Semi-Major Axis:     34.84614980 +/-    0.0044
Time of Perihelion: 2444942.9104 +/-      13.3
Perihelion:          32.40021431 +/-    0.0058
Aphelion:            37.29208528 +/-    0.0062
Period (y)              205.7029 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           33.04381088 +/-    0.0010
Ecliptic Y            5.51473787 +/-    0.0002
Ecliptic Z           -2.46312408 +/-    0.0001
Ecliptic XDOT        -0.00030350 +/-    0.0000
Ecliptic YDOT         0.00300123 +/-    0.0000
Ecliptic ZDOT         0.00016411 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.59122590 +/-    0.0010
Geocenter to KBO     32.59515653 +/-    0.0010
# Hcoef:  7.89

The following table shows the complete astrometric record for 13SD112. 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 (13SD112) followed by the observatory code and reference code for the source of the astrometry.

2013 09  28.11176  00 42 08.424  -00 10 38.44  22.5g 13SD112   W84  C~52RU      
2013 10  13.17933  00 40 45.266  -00 19 02.93  23.5z 13SD112   W84  C~52RU      
2014 11  13.13256  00 45 08.349  +00 19 02.03  22.9r 13SD112   W84  C~52RU      
2014 11  14.13269  00 45 04.301  +00 18 43.24  23.1r 13SD112   W84  C~52RU      
2016 08  30.35544  01 05 03.349  +02 38 27.41  23.2r 13SD112   W84  C~52RU      
2016 08  30.35681  01 05 03.351  +02 38 27.55  24.0g 13SD112   W84  C~52RU      
2016 11  07.19435  00 59 11.698  +02 02 57.17  22.9i 13SD112   W84  C~52RU      
2017 09  14.31955  01 10 46.666  +03 21 32.48  22.6z 13SD112   W84  C~52RU      
2017 09  14.32230  01 10 46.647  +03 21 32.34  22.9i 13SD112   W84  C~52RU      
2017 09  18.30613  01 10 27.175  +03 19 25.91  23.4r 13SD112   W84  C~52RU      
2017 09  18.30750  01 10 27.162  +03 19 25.68  23.8g 13SD112   W84  C~52RU      
2017 09  27.24045  01 09 40.929  +03 14 33.71  21.8z 13SD112   W84  C~52RU      
2018 09  11.32288  01 17 49.036  +04 13 15.57  23.4i 13SD112   W84  C~52RU      
2018 09  11.32425  01 17 49.027  +04 13 15.58  23.5r 13SD112   W84  C~52RU      
2018 09  11.32562  01 17 49.007  +04 13 15.47  24.2g 13SD112   W84  C~52RU      
2018 10  18.20313  01 14 35.669  +03 53 35.84  22.9z 13SD112   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     0.10       0.00    -0.06
     2   0.0413      0.00    -0.05       0.00    -0.22
     3   1.1253      0.00     0.09       0.00     0.05
     4   1.1281      0.00    -0.00       0.00     0.11
     5   2.9220      0.00    -0.17       0.00     0.01
     6   2.9220      0.00    -0.06       0.00     0.19
     7   3.1104      0.00    -0.09       0.00     0.16
     8   3.9622      0.00     0.06       0.00     0.11
     9   3.9622      0.00    -0.03       0.00     0.06
    10   3.9732      0.00     0.06       0.00     0.02
    11   3.9732      0.00    -0.03       0.00    -0.16
    12   3.9976      0.00     0.09       0.00     0.04
    13   4.9534      0.00     0.17       0.00    -0.05
    14   4.9534      0.00     0.13       0.00     0.00
    15   4.9534      0.00    -0.08       0.00    -0.07
    16   5.0543      0.00    -0.09       0.00    -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.

13SD112    quality flag:3

Type:           5:4E      5:4E      5:4E

axisobj        35.017    35.017    35.017
ecceobj         0.075     0.075     0.075
incobj          5.395     5.395     5.395
qmin           31.376    31.375    31.377
qmax           38.835    38.822    38.850
amean          34.945    34.945    34.945
amin           34.617    34.617    34.618
amax           35.296    35.296    35.295
emean           0.079     0.079     0.079
emin            0.058     0.058     0.058
emax            0.102     0.102     0.101
imean           5.609     5.610     5.609
imin            4.180     4.180     4.179
imax            6.934     6.934     6.934
excite_mean     0.126     0.126     0.126
fracstop        1.000     1.000     1.000
cjmean          2.999     2.999     2.999

libcent 0       178.7     178.7     178.4
libamp  0        71.5      71.6      71.1
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       179.7     179.9     179.7
kozaiamp        179.9     180.0     179.9