Orbit Fit and Astrometric record for 500876

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: 500876    
# Created Sat Dec 16 02:36:55 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   22 observations of   22
# Arc:   3.12y
# First observation: 2013/04/19
#  Last observation: 2016/06/03
# Chi-squared of fit:    14.83 DOF:   38 RMS:  0.15
# Min/Max residuals:    -0.31    0.39
# Exact a, adot, b, bdot, g, gdot:
  1.182821E-05  1.753813E-02 -1.389695E-05 -2.081289E-02  2.386709E-02 -1.088165E-03
# Covariance matrix:
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
#      lat0       lon0       xBary       yBary       zBary        JD0
    8.558252 -118.776233    0.529406    0.127365   -0.846236  2456401.964858
# Heliocentric elements and errors
Epoch:              2456402.5000  =  2013/04/20
Mean Anomaly:          356.60847 +/-     0.000
Argument of Peri:      177.93607 +/-     0.000
Long of Asc Node:       67.51186 +/-     0.000
Inclination:            50.39931 +/-     0.000
Eccentricity:         0.40920233 +/-    0.0000
Semi-Major Axis:     72.10288055 +/-    0.0000
Time of Perihelion: 2458509.2857 +/-       0.0
Perihelion:          42.59821413 +/-    0.0000
Aphelion:           101.60754696 +/-    0.0000
Period (y)              612.2617 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -20.82001421 +/-    0.0000
Ecliptic Y          -36.80855673 +/-    0.0000
Ecliptic Z            6.23461412 +/-    0.0000
Ecliptic XDOT         0.00164546 +/-    0.0000
Ecliptic YDOT        -0.00117146 +/-    0.0000
Ecliptic ZDOT        -0.00237934 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.74594876 +/-    0.0000
Geocenter to KBO     41.89874715 +/-    0.0000
# Hcoef:  8.03

The following table shows the complete astrometric record for 500876. 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 (500876) followed by the observatory code and reference code for the source of the astrometry.

2013 04  19.46408  16 03 30.275  -12 01 08.61  24.0r 500876    568  C~1WkX      
2013 04  19.51699  16 03 30.039  -12 01 08.20  24.1r 500876    568  C~1WkX      
2013 05  08.45126  16 02 03.388  -11 59 05.13  24.5r 500876    568  C~1WkX      
2013 05  08.49533  16 02 03.154  -11 59 04.87  24.2r 500876    568  C~1WkX      
2013 05  08.53916  16 02 02.946  -11 59 04.62  24.2r 500876    568  C~1WkX      
2013 05  09.54622  16 01 57.975  -11 58 59.06  24.0r 500876    568  C~1WkX      
2013 06  06.41667  15 59 37.245  -11 57 39.66        500876    568  C~1WkX      
2013 07  02.36871  15 57 41.387  -11 59 26.95  24.2r 500876    568  C~1WkX      
2013 07  04.35949  15 57 33.899  -11 59 43.90  24.3r 500876    568  C~1WkX      
2014 03  06.59624  16 08 25.396  -13 26 01.78  24.3r 500876    568  C~1WkX      
2014 03  07.57089  16 08 24.829  -13 26 01.32  24.5r 500876    568  C~1WkX      
2014 05  01.41383  16 05 43.677  -13 22 00.20  23.9r 500876    568  C~1WkX      
2014 05  01.46525  16 05 43.428  -13 22 00.30  24.2r 500876    568  C~1WkX      
2014 05  01.52391  16 05 43.159  -13 21 59.86  24.4r 500876    568  C~1WkX      
2014 05  22.53356  16 03 58.584  -13 20 27.52  23.6r 500876    568  C~1WkX      
2014 05  22.55345  16 03 58.489  -13 20 27.05        500876    568  C~1WkX      
2014 05  25.49282  16 03 43.380  -13 20 19.14  24.3r 500876    568  C~1WkX      
2015 03  22.57427  16 11 11.913  -14 46 41.77  24.3r 500876    568  C~1WkX      
2015 04  18.56543  16 09 49.188  -14 45 12.41  23.9r 500876    568  C~1WkX      
2015 08  11.31763  16 02 10.498  -14 51 31.10  24.5r 500876    568  C~2LSW      
2016 05  29.39274  16 09 38.935  -16 05 07.31  24.3w 500876    568  C~2LSW      
2016 06  03.43279  16 09 12.837  -16 05 01.56  24.3w 500876    568  C~2LSW      

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    -0.22       0.00     0.03
  2   0.0001      0.00    -0.17       0.00     0.06
  3   0.0520      0.00     0.08       0.00     0.04
  4   0.0521      0.00    -0.12       0.00     0.05
  5   0.0522      0.00     0.05       0.00     0.05
  6   0.0550      0.00    -0.01       0.00     0.06
  7   0.1313      0.00     0.33       0.00    -0.13
  8   0.2023      0.00    -0.06       0.00    -0.18
  9   0.2078      0.00     0.04       0.00    -0.13
 10   0.8792      0.00     0.06       0.00     0.08
 11   0.8819      0.00     0.39       0.00    -0.05
 12   1.0320      0.00     0.17       0.00     0.26
 13   1.0322      0.00     0.11       0.00    -0.11
 14   1.0323      0.00     0.28       0.00     0.01
 15   1.0899      0.00    -0.04       0.00    -0.31
 16   1.0899      0.00     0.08       0.00     0.10
 17   1.0980      0.00     0.00       0.00    -0.05
 18   1.9223      0.00    -0.17       0.00     0.20
 19   1.9962      0.00     0.01       0.00     0.14
 20   2.3103      0.00     0.04       0.00     0.04
 21   3.1100      0.00     0.08       0.00    -0.19
 22   3.1238      0.00    -0.04       0.00     0.01

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.

500876    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        71.766    71.765    71.766
ecceobj         0.407     0.407     0.407
incobj         50.418    50.418    50.418
qmin           40.700    40.647    40.692
qmax          105.419   105.460   105.657
amean          72.367    72.367    72.368
amin           71.553    71.522    71.479
amax           73.469    73.463    73.538
emean           0.418     0.418     0.418
emin            0.405     0.405     0.405
emax            0.436     0.436     0.437
imean          48.922    48.922    48.922
imin           48.474    48.459    48.471
imax           49.396    49.395    49.396
excite_mean     0.862     0.862     0.862
fracstop        1.000     1.000     1.000
cjmean          2.267     2.267     2.267

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       213.0     213.0     213.0
kozaiamp         35.4      35.5      35.4