Orbit Fit and Astrometric record for 13WJ123

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: 13WJ123   
# Created Sat Nov 27 02:12:24 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     23 observations of     23
# Arc:   8.02y
# First observation: 2013/11/04
#  Last observation: 2021/11/11
# Chi-squared of fit:     4.38 DOF:     40 RMS:  0.08
# Min/Max residuals:    -0.13    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.980037E-05  4.101423E-02  1.539600E-06  3.380460E-03  3.319750E-02  2.803091E-03
# Covariance matrix:
  2.3803E-13 -2.1399E-13  1.1015E-14 -1.6143E-14 -5.2692E-14 -5.7855E-13
 -2.1399E-13  2.9937E-13 -1.6243E-14  2.4030E-14  5.9627E-14  8.6152E-13
  1.1015E-14 -1.6243E-14  1.0706E-13 -1.9345E-14 -8.5279E-15 -4.7864E-14
 -1.6143E-14  2.4030E-14 -1.9345E-14  9.6417E-15  4.8218E-15  7.0972E-14
 -5.2692E-14  5.9627E-14 -8.5279E-15  4.8218E-15  6.5192E-13  1.6313E-13
 -5.7855E-13  8.6152E-13 -4.7864E-14  7.0972E-14  1.6313E-13  2.5446E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -8.109849   26.014623   -0.264206   -0.134577   -0.945310  2456600.571378
# Heliocentric elements and errors
Epoch:              2456600.5000  =  2013/11/04
Mean Anomaly:           14.56781 +/-     0.007
Argument of Peri:      277.42784 +/-     0.011
Long of Asc Node:       85.22101 +/-     0.001
Inclination:             9.17796 +/-     0.000
Eccentricity:         0.22770557 +/-    0.0001
Semi-Major Axis:     39.60996012 +/-    0.0055
Time of Perihelion: 2452915.8442 +/-       2.0
Perihelion:          30.59055173 +/-    0.0055
Aphelion:            48.62936850 +/-    0.0076
Period (y)              249.2957 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           27.54138783 +/-    0.0007
Ecliptic Y           13.73889273 +/-    0.0003
Ecliptic Z           -4.24945412 +/-    0.0001
Ecliptic XDOT        -0.00124872 +/-    0.0000
Ecliptic YDOT         0.00315577 +/-    0.0000
Ecliptic ZDOT         0.00024353 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.06992646 +/-    0.0006
Geocenter to KBO     30.12274951 +/-    0.0007
# Hcoef:  7.72

The following table shows the complete astrometric record for 13WJ123. 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 (13WJ123) followed by the observatory code and reference code for the source of the astrometry.

2013 11  04.07060  01 48 14.43   +02 28 52.0         13WJ123   W84  C~3clj      
2013 11  04.13358  01 48 14.06   +02 28 50.3   22.9r 13WJ123   W84  C~3clj      
2013 11  04.21602  01 48 13.57   +02 28 48.3         13WJ123   W84  C~3clj      
2013 11  23.18047  01 46 31.467  +02 22 08.25  22.4i 13WJ123   W84  C~4yRi      
2013 11  23.18047  01 46 31.47   +02 22 08.2   22.4i 13WJ123   W84  C~3clj      
2014 10  02.32581  01 59 57.240  +03 47 03.02  22.4i 13WJ123   W84  C~4yRi      
2014 10  02.32581  01 59 57.24   +03 47 03.0   22.5i 13WJ123   W84  C~3clj      
2014 10  21.27770  01 58 07.853  +03 36 39.61  23.1g 13WJ123   W84  C~4yRi      
2014 10  21.27770  01 58 07.85   +03 36 39.7   23.4g 13WJ123   W84  C~3clj      
2014 10  21.28184  01 58 07.820  +03 36 39.64  22.1i 13WJ123   W84  C~4yRi      
2014 10  21.28184  01 58 07.82   +03 36 39.6   22.3i 13WJ123   W84  C~3clj      
2014 10  23.27376  01 57 55.853  +03 35 37.68  22.0i 13WJ123   W84  C~4yRi      
2014 10  23.27376  01 57 55.85   +03 35 37.7   22.2i 13WJ123   W84  C~3clj      
2014 10  29.24020  01 57 19.996  +03 32 38.83  23.3g 13WJ123   W84  C~4yRi      
2014 11  27.09249  01 54 40.736  +03 21 56.20  22.4z 13WJ123   W84  C~4yRi      
2014 11  27.09249  01 54 40.74   +03 21 56.3   22.6z 13WJ123   W84  C~3clj      
2015 12  18.09791  02 01 41.127  +04 19 05.65  22.6i 13WJ123   W84  C~4yRi      
2015 12  18.09791  02 01 41.13   +04 19 05.7   22.6i 13WJ123   W84  C~3clj      
2020 10  20.382960 02 48 16.640  +09 23 40.05  22.6G 13WJ123   G37  C~4Kw7      
2020 10  20.460730 02 48 16.187  +09 23 38.04        13WJ123   G37  C~4Kw7      
2021 11  11.310791 02 54 20.604  +10 08 29.46  22.6w 13WJ123   F51  C~5BRP      
2021 11  11.321123 02 54 20.531  +10 08 29.48  22.8w 13WJ123   F51  C~5BRP      
2021 11  11.331476 02 54 20.469  +10 08 28.90  22.6w 13WJ123   F51  C~5BRP      

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    -0.06       0.00    -0.01
     2   0.0002      0.00    -0.02       0.00    -0.05
     3   0.0004      0.00    -0.05       0.00     0.11
     4   0.0523      0.00     0.05       0.00    -0.07
     5   0.0523      0.00     0.01       0.00    -0.02
     6   0.9097      0.00     0.00       0.00    -0.05
     7   0.9097      0.00     0.00       0.00    -0.03
     8   0.9616      0.00     0.06       0.00    -0.03
     9   0.9616      0.00     0.10       0.00    -0.12
    10   0.9616      0.00    -0.01       0.00    -0.00
    11   0.9616      0.00    -0.01       0.00     0.04
    12   0.9670      0.00    -0.05       0.00     0.11
    13   0.9670      0.00    -0.00       0.00     0.09
    14   0.9834      0.00     0.16       0.00     0.02
    15   1.0623      0.00    -0.07       0.00    -0.11
    16   1.0623      0.00    -0.01       0.00    -0.01
    17   2.1192      0.00     0.00       0.00     0.14
    18   2.1192      0.00    -0.04       0.00     0.09
    19   6.9605      0.00    -0.09       0.00    -0.13
    20   6.9607      0.00    -0.05       0.00    -0.01
    21   8.0198      0.00     0.12       0.00    -0.03
    22   8.0199      0.00    -0.02       0.00     0.22
    23   8.0199      0.00     0.01       0.00    -0.12

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.

13WJ123    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.868    39.868    39.868
ecceobj         0.233     0.233     0.233
incobj          9.183     9.183     9.183
qmin           29.303    29.301    29.306
qmax           50.209    50.214    50.190
amean          39.456    39.456    39.456
amin           38.971    38.969    38.977
amax           40.021    40.022    40.026
emean           0.235     0.235     0.235
emin            0.208     0.208     0.208
emax            0.256     0.256     0.256
imean           5.654     5.663     5.646
imin            4.486     4.488     4.484
imax            7.796     7.796     7.796
excite_mean     0.256     0.256     0.256
fracstop        1.000     1.000     1.000
cjmean          2.977     2.977     2.977

libcent 0       180.2     180.3     180.4
libamp  0        94.0      94.1      94.3
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       195.8     195.6     196.0
kozaiamp         63.1      63.6      62.7