Orbit Fit and Astrometric record for 500856

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: 500856    
# Created Mon Dec 18 02:36:52 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   22 observations of   22
# Arc:   3.80y
# First observation: 2013/04/17
#  Last observation: 2017/02/03
# Chi-squared of fit:    14.46 DOF:   38 RMS:  0.14
# Min/Max residuals:    -0.33    0.46
# Exact a, adot, b, bdot, g, gdot:
  1.640179E-05  2.136717E-02 -2.286761E-06 -1.313088E-03  2.291024E-02 -1.124639E-04
# 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
    1.116297 -142.523084    0.173719    0.019314   -0.990383  2456399.964708
# Heliocentric elements and errors
Epoch:              2456400.5000  =  2013/04/18
Mean Anomaly:          204.95410 +/-     0.000
Argument of Peri:      318.62065 +/-     0.000
Long of Asc Node:       54.47295 +/-     0.000
Inclination:             3.68227 +/-     0.000
Eccentricity:         0.01743974 +/-    0.0000
Semi-Major Axis:     43.94018775 +/-    0.0000
Time of Perihelion: 2502219.8671 +/-       0.0
Perihelion:          43.17388232 +/-    0.0000
Aphelion:            44.70649318 +/-    0.0000
Period (y)              291.2736 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -35.52364807 +/-    0.0000
Ecliptic Y          -27.01545825 +/-    0.0000
Ecliptic Z            0.85029475 +/-    0.0000
Ecliptic XDOT         0.00155555 +/-    0.0000
Ecliptic YDOT        -0.00201983 +/-    0.0000
Ecliptic ZDOT        -0.00015701 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.63729352 +/-    0.0000
Geocenter to KBO     43.64863233 +/-    0.0000
# Hcoef:  7.71

The following table shows the complete astrometric record for 500856. 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 (500856) followed by the observatory code and reference code for the source of the astrometry.

2013 04  17.46393  14 21 59.046  -12 57 00.72  23.7r 500856    568  C~1XRc      
2013 04  19.44191  14 21 50.380  -12 56 18.57  23.9r 500856    568  C~1XRc      
2013 04  19.49245  14 21 50.151  -12 56 17.64  23.8r 500856    568  C~1XRc      
2013 04  19.54534  14 21 49.915  -12 56 16.59  23.8r 500856    568  C~1XRc      
2013 05  11.47819  14 20 12.898  -12 48 27.47  24.1r 500856    568  C~1XRc      
2013 05  12.48047  14 20 08.586  -12 48 07.08  24.4r 500856    568  C~1XRc      
2013 06  12.37556  14 18 13.829  -12 39 14.99  24.8r 500856    568  C~1XRc      
2013 06  12.42048  14 18 13.691  -12 39 14.50  24.2r 500856    568  C~1XRc      
2013 07  04.33511  14 17 26.158  -12 35 58.44  23.9r 500856    568  C~1XRc      
2013 07  06.34313  14 17 23.612  -12 35 49.76  23.9r 500856    568  C~1XRc      
2013 08  05.27111  14 17 25.332  -12 37 07.58  24.1r 500856    568  C~1XRc      
2014 02  24.59345  14 29 26.101  -13 38 40.40  24.4r 500856    568  C~1XRc      
2014 02  25.57639  14 29 24.634  -13 38 32.12  23.3r 500856    568  C~1XRc      
2014 02  28.52445  14 29 19.625  -13 38 06.42  24.5r 500856    568  C~1XRc      
2014 04  04.42723  14 27 34.360  -13 29 23.92  24.1r 500856    568  C~1XRc      
2014 04  04.46649  14 27 34.201  -13 29 23.14  23.7r 500856    568  C~1XRc      
2014 04  05.54119  14 27 29.900  -13 29 02.19        500856    568  C~1XRc      
2015 01  26.62763  14 34 06.928  -14 06 14.80  24.3r 500856    568  C~1XRc      
2016 05  06.41084  14 34 36.618  -14 13 15.84  23.9r 500856    568  C~2KOG      
2016 05  29.35189  14 32 59.135  -14 05 57.42  24.6w 500856    568  C~2KOG      
2017 01  31.65143  14 43 27.746  -14 59 18.08  24.4w 500856    568  C~2KOG      
2017 02  03.64785  14 43 30.202  -14 59 28.19        500856    568  C~2KOG      

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     0.02       0.00    -0.11
  2   0.0054      0.00     0.06       0.00     0.02
  3   0.0056      0.00     0.03       0.00    -0.13
  4   0.0057      0.00     0.04       0.00    -0.23
  5   0.0657      0.00     0.07       0.00     0.02
  6   0.0685      0.00     0.12       0.00    -0.16
  7   0.1531      0.00    -0.07       0.00     0.01
  8   0.1532      0.00    -0.12       0.00    -0.09
  9   0.2132      0.00    -0.01       0.00    -0.13
 10   0.2187      0.00     0.13       0.00     0.02
 11   0.3006      0.00     0.01       0.00    -0.33
 12   0.8573      0.00    -0.03       0.00    -0.09
 13   0.8600      0.00     0.46       0.00     0.29
 14   0.8681      0.00     0.01       0.00     0.05
 15   0.9636      0.00     0.11       0.00     0.02
 16   0.9637      0.00     0.11       0.00     0.05
 17   0.9667      0.00     0.23       0.00     0.08
 18   1.7773      0.00    -0.25       0.00     0.13
 19   3.0526      0.00    -0.06       0.00     0.13
 20   3.1154      0.00     0.07       0.00    -0.06
 21   3.7924      0.00    -0.14       0.00    -0.01
 22   3.8006      0.00     0.12       0.00    -0.20

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.

500856    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.771    43.771    43.771
ecceobj         0.022     0.022     0.022
incobj          3.687     3.687     3.687
qmin           42.340    42.340    42.341
qmax           46.014    46.012    46.015
amean          44.084    44.084    44.084
amin           43.750    43.750    43.750
amax           44.430    44.430    44.431
emean           0.021     0.021     0.021
emin            0.005     0.005     0.005
emax            0.036     0.036     0.036
imean           2.482     2.482     2.482
imin            1.824     1.824     1.824
imax            3.019     3.019     3.019
excite_mean     0.049     0.049     0.049
fracstop        1.000     1.000     1.000
cjmean          3.100     3.100     3.100

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       181.4     181.4     181.5
kozaiamp        179.9     179.8     179.9