Orbit Fit and Astrometric record for 500828

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: 500828    
# Created Fri Mar 29 01:08:10 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     28 observations of     28
# Arc:   4.15y
# First observation: 2013/04/04
#  Last observation: 2017/05/30
# Chi-squared of fit:     9.69 DOF:     50 RMS:  0.10
# Min/Max residuals:    -0.24    0.26
# Exact a, adot, b, bdot, g, gdot:
  1.536783E-05  2.516865E-02  9.144814E-07  6.996281E-04  2.494295E-02 -1.009668E-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
    0.409874 -146.734258    0.318421    0.006828   -0.949604  2456386.906608
# Heliocentric elements and errors
Epoch:              2456386.5000  =  2013/04/04
Mean Anomaly:          324.19950 +/-     0.000
Argument of Peri:       55.20780 +/-     0.000
Long of Asc Node:      198.77024 +/-     0.000
Inclination:             1.64926 +/-     0.000
Eccentricity:         0.07400645 +/-    0.0000
Semi-Major Axis:     43.56588329 +/-    0.0000
Time of Perihelion: 2466831.4136 +/-       0.0
Perihelion:          40.34172706 +/-    0.0000
Aphelion:            46.79003952 +/-    0.0000
Period (y)              287.5597 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -34.48869414 +/-    0.0000
Ecliptic Y          -22.24316722 +/-    0.0000
Ecliptic Z            0.28685458 +/-    0.0000
Ecliptic XDOT         0.00160219 +/-    0.0000
Ecliptic YDOT        -0.00224843 +/-    0.0000
Ecliptic ZDOT         0.00007614 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.04038509 +/-    0.0000
Geocenter to KBO     40.09153820 +/-    0.0000
# Hcoef:  7.80

The following table shows the complete astrometric record for 500828. 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 (500828) followed by the observatory code and reference code for the source of the astrometry.

2013 04  04.40583  14 04 44.678  -12 13 02.52  23.5r 500828    568  C~1XRV      
2013 04  04.44572  14 04 44.497  -12 13 01.40  23.2r 500828    568  C~1XRV      
2013 04  04.48637  14 04 44.309  -12 13 00.68  23.4r 500828    568  C~1XRV      
2013 04  05.48653  14 04 39.873  -12 12 36.19  23.7r 500828    568  C~1XRV      
2013 04  05.49540  14 04 39.812  -12 12 35.97        500828    568  C~1XRV      
2013 04  05.50731  14 04 39.760  -12 12 35.68  23.7r 500828    568  C~1XRV      
2013 04  05.51127  14 04 39.753  -12 12 35.65  24.2r 500828    568  C~1XRV      
2013 04  06.57873  14 04 34.987  -12 12 09.46  23.3r 500828    568  C~1XRV      
2013 05  11.41001  14 01 53.386  -11 57 33.23  23.9r 500828    568  C~1XRV      
2013 05  12.41142  14 01 48.937  -11 57 09.42  23.9r 500828    568  C~1XRV      
2013 06  13.24964  13 59 52.807  -11 46 43.63  24.0r 500828    568  C~1XRV      
2013 06  13.29009  13 59 52.692  -11 46 43.18  24.1r 500828    568  C~1XRV      
2013 07  04.27116  13 59 14.275  -11 43 19.13  24.1r 500828    568  C~1XRV      
2013 07  06.27808  13 59 12.555  -11 43 10.26  24.2r 500828    568  C~1XRV      
2014 02  24.55846  14 12 31.185  -12 51 46.50  24.2r 500828    568  C~1XRV      
2014 02  25.52781  14 12 29.289  -12 51 35.78  24.0r 500828    568  C~1XRV      
2014 02  27.63879  14 12 24.930  -12 51 11.20  23.8r 500828    568  C~1XRV      
2014 03  28.43390  14 10 52.364  -12 42 45.39  24.1r 500828    568  C~1XRV      
2014 03  28.47295  14 10 52.210  -12 42 44.59  23.9r 500828    568  C~1XRV      
2014 04  05.40246  14 10 18.389  -12 39 43.01  23.7r 500828    568  C~1XRV      
2014 05  22.39326  14 06 43.491  -12 20 39.35  23.8r 500828    568  C~1XRV      
2014 05  28.36997  14 06 19.793  -12 18 34.04        500828    568  C~1XRV      
2014 06  26.31711  14 04 56.790  -12 11 18.00  23.9r 500828    568  C~1XRV      
2014 07  18.28369  14 04 38.648  -12 09 47.59        500828    568  C~1XRV      
2015 01  26.63271  14 18 18.844  -13 19 28.26  24.8r 500828    568  C~1XRV      
2017 05  25.46246  14 23 30.801  -13 39 01.04  23.8r 500828    568  C~2KOF      
2017 05  30.28159  14 23 11.083  -13 37 23.21  23.9r 500828    568  C~2KOF      
2017 05  30.34663  14 23 10.813  -13 37 21.95  23.8r 500828    568  C~2KOF      

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     0.08       0.00    -0.13
     2   0.0001      0.00     0.06       0.00     0.03
     3   0.0002      0.00    -0.01       0.00    -0.23
     4   0.0030      0.00     0.07       0.00     0.06
     5   0.0030      0.00    -0.24       0.00     0.06
     6   0.0030      0.00    -0.21       0.00     0.06
     7   0.0030      0.00    -0.05       0.00    -0.00
     8   0.0059      0.00     0.17       0.00     0.17
     9   0.1013      0.00     0.13       0.00     0.12
    10   0.1041      0.00    -0.10       0.00    -0.03
    11   0.1912      0.00     0.03       0.00     0.08
    12   0.1913      0.00    -0.03       0.00    -0.04
    13   0.2488      0.00     0.01       0.00    -0.09
    14   0.2543      0.00     0.15       0.00    -0.14
    15   0.8930      0.00     0.26       0.00     0.05
    16   0.8956      0.00    -0.10       0.00     0.08
    17   0.9014      0.00     0.09       0.00    -0.04
    18   0.9802      0.00    -0.14       0.00     0.06
    19   0.9803      0.00     0.00       0.00     0.00
    20   1.0020      0.00    -0.05       0.00    -0.03
    21   1.1307      0.00    -0.04       0.00     0.00
    22   1.1471      0.00    -0.21       0.00     0.05
    23   1.2263      0.00    -0.02       0.00     0.04
    24   1.2865      0.00     0.15       0.00    -0.04
    25   1.8131      0.00     0.08       0.00    -0.14
    26   4.1398      0.00    -0.02       0.00     0.06
    27   4.1530      0.00     0.03       0.00    -0.00
    28   4.1532      0.00    -0.06       0.00    -0.02

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.

500828    quality flag:3

Type:         7:4EEE    7:4EEE    7:4EEE

axisobj        43.391    43.391    43.391
ecceobj         0.073     0.073     0.073
incobj          1.652     1.652     1.652
qmin           39.422    39.423    39.421
qmax           48.286    48.278    48.293
amean          43.727    43.727    43.727
amin           43.357    43.358    43.357
amax           44.114    44.112    44.111
emean           0.077     0.078     0.077
emin            0.055     0.056     0.057
emax            0.095     0.095     0.095
imean           3.166     3.136     3.161
imin            2.086     1.961     2.026
imax            4.365     4.364     4.372
excite_mean     0.096     0.096     0.096
fracstop        1.000     1.000     1.000
cjmean          3.087     3.087     3.087

libcent 0       177.8     179.2     180.9
libamp  0        91.3      92.5      94.4
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       163.1     163.3     162.2
kozaiamp        179.7     179.9     179.8