Orbit Fit and Astrometric record for 456826

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: 456826    
# Created Wed Dec 13 02:36:48 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   39 observations of   39
# Arc:   8.25y
# First observation: 2007/10/03
#  Last observation: 2016/01/04
# Chi-squared of fit:    60.62 DOF:   72 RMS:  0.22
# Min/Max residuals:    -0.70    0.68
# Exact a, adot, b, bdot, g, gdot:
  1.922859E-05  4.449760E-02  6.735194E-06  1.759930E-02  3.596068E-02  1.391781E-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
  -20.236826   56.592827    0.727556   -0.238348   -0.646761  2454376.982604
# Heliocentric elements and errors
Epoch:              2454376.5000  =  2007/10/03
Mean Anomaly:            1.30840 +/-     0.000
Argument of Peri:      312.64500 +/-     0.000
Long of Asc Node:       96.28757 +/-     0.000
Inclination:            28.57120 +/-     0.000
Eccentricity:         0.27410019 +/-    0.0000
Semi-Major Axis:     39.20059264 +/-    0.0000
Time of Perihelion: 2454050.6809 +/-       0.0
Perihelion:          28.45570289 +/-    0.0000
Aphelion:            49.94548238 +/-    0.0000
Period (y)              245.4410 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           15.35136453 +/-    0.0000
Ecliptic Y           21.95100568 +/-    0.0000
Ecliptic Z           -9.61870246 +/-    0.0000
Ecliptic XDOT        -0.00251185 +/-    0.0000
Ecliptic YDOT         0.00233380 +/-    0.0000
Ecliptic ZDOT         0.00122045 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   28.46102920 +/-    0.0000
Geocenter to KBO     27.80816172 +/-    0.0000
# Hcoef:  7.59

The following table shows the complete astrometric record for 456826. 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 (456826) followed by the observatory code and reference code for the source of the astrometry.

2007 10  03.48185  03 55 34.82   -00 19 56.3   23.2  456826    705  cx9533      
2007 10  03.48268  03 55 34.81   -00 19 56.5   24.7  456826    705  cx9533      
2007 10  09.46669  03 55 09.91   -00 23 23.9   22.5  456826    705  cx9533      
2007 10  09.47001  03 55 09.89   -00 23 24.3   23.5  456826    705  cx9533      
2007 10  12.48432  03 54 55.89   -00 25 06.0   22.6  456826    705  cx9533      
2007 10  12.48764  03 54 55.87   -00 25 06.0   23.6  456826    705  cx9534      
2007 10  19.48034  03 54 19.95   -00 28 51.7   22.6  456826    705  cx9534      
2007 10  19.48366  03 54 19.92   -00 28 52.0   23.7  456826    705  cx9534      
2007 10  20.48625  03 54 14.45   -00 29 22.7   22.8  456826    705  cx9534      
2007 10  20.48708  03 54 14.41   -00 29 22.7   24.2  456826    705  cx9534      
2007 11  02.38945  03 52 56.74   -00 35 20.1   22.5  456826    705  cx9534      
2007 11  02.39277  03 52 56.70   -00 35 20.4   23.7  456826    705  cx9534      
2007 11  05.39406  03 52 37.16   -00 36 30.7   22.5  456826    705  cx9534      
2007 11  05.39738  03 52 37.14   -00 36 30.7   23.4  456826    705  cx9534      
2007 11  11.40057  03 51 56.78   -00 38 34.5   22.6  456826    705  cx9534      
2007 11  11.40389  03 51 56.75   -00 38 34.8   23.7  456826    705  cx9534      
2007 11  14.38876  03 51 36.26   -00 39 26.6   22.5  456826    705  cx9534      
2007 11  14.39208  03 51 36.22   -00 39 26.9   23.5  456826    705  cx9534      
2007 11  18.39301  03 51 08.44   -00 40 26.8   22.5  456826    705  cx9534      
2007 11  18.39384  03 51 08.44   -00 40 26.6   23.1  456826    705  cx9534      
2007 11  20.32890  03 50 54.94   -00 40 51.1   22.9  456826    705  cx9534      
2007 11  20.328987 03 50 54.94   -00 40 51.1   22.4V 456826    645  C~2LP9      
2007 11  20.32973  03 50 54.94   -00 40 51.2   24.3  456826    705  cx9534      
2007 11  20.329816 03 50 54.94   -00 40 51.1   21.6V 456826    645  C~2LP9      
2007 11  20.332304 03 50 54.95   -00 40 51.2   23.3V 456826    645  C~2LP9      
2008 12  01.35288  03 58 41.25   +00 51 03.6   22.0R 456826    688  C~02eZ      
2008 12  01.39762  03 58 40.93   +00 51 03.3         456826    688  C~02eZ      
2008 12  21.31378  03 56 30.71   +00 52 54.0   21.6r 456826    695  C~02eZ      
2008 12  21.38686  03 56 30.29   +00 52 54.8   21.4r 456826    695  C~02eZ      
2008 12  22.30790  03 56 24.82   +00 53 08.4   21.5r 456826    695  C~02eZ      
2010 10  09.38939  04 22 20.46   +04 12 50.8   22.1R 456826    688  C~0NlL      
2010 10  09.46384  04 22 20.16   +04 12 48.9         456826    688  C~0NlL      
2011 01  10.15747  04 12 57.05   +04 03 54.2   21.3R 456826    695  C~0U4W      
2011 01  10.18324  04 12 56.93   +04 03 55.5         456826    695  C~0U4W      
2011 01  10.35638  04 12 56.15   +04 03 59.9         456826    695  C~0U4W      
2016 01  03.12980  04 59 12.53   +11 27 08.8   21.0R 456826    W67  C~1jh0      
2016 01  03.24225  04 59 11.84   +11 27 10.2   20.9R 456826    W67  C~1jh0      
2016 01  04.13736  04 59 06.24   +11 27 22.6   21.5R 456826    W67  C~1jh0      
2016 01  04.20083  04 59 05.81   +11 27 23.0   21.0R 456826    W67  C~1jh0      

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    -0.26       0.00     0.57
  2   0.0000      0.00    -0.03       0.00     0.07
  3   0.0164      0.00     0.03       0.00     0.16
  4   0.0164      0.00    -0.04       0.00    -0.12
  5   0.0246      0.00     0.10       0.00    -0.10
  6   0.0247      0.00     0.04       0.00     0.01
  7   0.0438      0.00     0.06       0.00    -0.03
  8   0.0438      0.00    -0.12       0.00    -0.23
  9   0.0466      0.00     0.53       0.00     0.01
 10   0.0466      0.00    -0.00       0.00     0.03
 11   0.0819      0.00     0.07       0.00     0.02
 12   0.0819      0.00    -0.20       0.00    -0.20
 13   0.0901      0.00     0.22       0.00    -0.06
 14   0.0901      0.00     0.25       0.00     0.01
 15   0.1066      0.00     0.04       0.00    -0.06
 16   0.1066      0.00    -0.06       0.00    -0.30
 17   0.1147      0.00     0.21       0.00     0.19
 18   0.1147      0.00    -0.04       0.00    -0.05
 19   0.1257      0.00     0.03       0.00    -0.17
 20   0.1257      0.00     0.12       0.00     0.04
 21   0.1310      0.00     0.16       0.00     0.05
 22   0.1310      0.00     0.17       0.00     0.05
 23   0.1310      0.00     0.25       0.00    -0.04
 24   0.1310      0.00     0.26       0.00     0.06
 25   0.1310      0.00     0.68       0.00    -0.01
 26   1.1632      0.00    -0.04       0.00     0.45
 27   1.1634      0.00    -0.12       0.00     0.28
 28   1.2179      0.00    -0.40       0.00     0.28
 29   1.2181      0.00    -0.08       0.00     0.05
 30   1.2206      0.00    -0.33       0.00     0.22
 31   3.0169      0.00     0.03       0.00     0.14
 32   3.0171      0.00    -0.06       0.00     0.25
 33   3.2708      0.00     0.07       0.00    -0.70
 34   3.2709      0.00     0.10       0.00    -0.06
 35   3.2714      0.00     0.57       0.00    -0.10
 36   8.2509      0.00    -0.06       0.00     0.02
 37   8.2512      0.00     0.36       0.00    -0.06
 38   8.2537      0.00     0.22       0.00     0.24
 39   8.2539      0.00    -0.22       0.00    -0.23

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.

456826    quality flag:3

Type:           3:2E      3:2E      3:2E
Type:          6:4II     6:4II     6:4II

axisobj        39.779    39.779    39.779
ecceobj         0.284     0.284     0.284
incobj         28.519    28.519    28.519
qmin           26.147    26.147    26.148
qmax           53.108    53.115    53.111
amean          39.453    39.453    39.453
amin           39.049    39.051    39.047
amax           39.920    39.922    39.918
emean           0.266     0.266     0.266
emin            0.187     0.187     0.187
emax            0.336     0.335     0.336
imean          27.170    27.170    27.170
imin           24.845    24.846    24.845
imax           29.206    29.207    29.207
excite_mean     0.531     0.531     0.531
fracstop        1.000     1.000     1.000
cjmean          2.724     2.724     2.724

libcent 0       179.9     179.8     180.0
libamp  0        57.3      57.2      57.4
libcent 1       180.2     179.9     180.4
libamp  1       176.3     176.4     176.3
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       268.4     268.4     268.4
kozaiamp         47.3      47.3      47.3