Orbit Fit and Astrometric record for 11WJ157

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: 11WJ157   
# Created Fri Oct 19 01:09:12 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   50 observations of   50
# Arc:   5.99y
# First observation: 2010/02/26
#  Last observation: 2016/02/22
# Chi-squared of fit:    14.16 DOF:   94 RMS:  0.09
# Min/Max residuals:    -0.21    0.48
# Exact a, adot, b, bdot, g, gdot:
  1.563913E-05  2.395237E-02  8.467842E-06  1.218198E-02  2.358432E-02 -9.232797E-03
# Covariance matrix:
  7.4042E-13 -3.9530E-13  2.2779E-13 -1.6377E-13 -1.6785E-13 -1.9047E-12
 -3.9530E-13  2.8852E-13 -1.8130E-13  1.3329E-13  4.5422E-14  1.5386E-12
  2.2779E-13 -1.8130E-13  3.0239E-13 -1.3395E-13 -2.7488E-14 -1.0155E-12
 -1.6377E-13  1.3329E-13 -1.3395E-13  7.8402E-14  1.6635E-14  7.4821E-13
 -1.6785E-13  4.5422E-14 -2.7488E-14  1.6635E-14  1.1411E-13  2.0581E-13
 -1.9047E-12  1.5386E-12 -1.0155E-12  7.4821E-13  2.0581E-13  8.6309E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    5.190533   85.346381   -0.946557    0.027660   -0.304543  2455253.860306
# Heliocentric elements and errors
Epoch:              2455254.5000  =  2010/02/27
Mean Anomaly:          350.49010 +/-     0.003
Argument of Peri:       58.60341 +/-     0.013
Long of Asc Node:       76.47005 +/-     0.000
Inclination:            27.10736 +/-     0.000
Eccentricity:         0.62009092 +/-    0.0001
Semi-Major Axis:     98.61723201 +/-    0.0210
Time of Perihelion: 2464703.8328 +/-     111.3
Perihelion:          37.46558190 +/-    0.0125
Aphelion:           159.76888212 +/-    0.0353
Period (y)              979.3488 +/-      0.31
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            2.51057361 +/-    0.0000
Ecliptic Y           42.46697200 +/-    0.0006
Ecliptic Z            3.83629366 +/-    0.0001
Ecliptic XDOT        -0.00286595 +/-    0.0000
Ecliptic YDOT        -0.00096004 +/-    0.0000
Ecliptic ZDOT         0.00131136 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.71398837 +/-    0.0006
Geocenter to KBO     42.40135709 +/-    0.0006
# Hcoef:  5.17

The following table shows the complete astrometric record for 11WJ157. 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 (11WJ157) followed by the observatory code and reference code for the source of the astrometry.

2010 02  26.35954  05 38 53.400  +28 32 40.60  21.9G 11WJ157   F51  C~2jh4      
2010 12  17.40678  05 49 56.870  +29 15 56.72  20.7i 11WJ157   F51  C~1w3o      
2011 09  07.59773  06 00 23.240  +29 37 03.30  21.4r 11WJ157   F51  C~1w3o      
2011 09  09.59819  06 00 28.440  +29 37 34.27  21.3r 11WJ157   F51  C~1w3o      
2011 11  25.55539  05 58 31.592  +29 56 36.33  21.7g 11WJ157   F51  C~1w3o      
2011 11  25.58591  05 58 31.444  +29 56 36.59  20.9r 11WJ157   F51  C~1w3o      
2011 11  25.60054  05 58 31.377  +29 56 36.81  21.0r 11WJ157   F51  C~1w3o      
2011 12  23.37382  05 56 00.844  +30 00 42.25  21.5r 11WJ157   F51  C~1w3o      
2011 12  23.38579  05 56 00.772  +30 00 42.16  21.3r 11WJ157   F51  C~1w3o      
2012 01  03.33066  05 54 59.620  +30 01 39.38  20.6i 11WJ157   F51  C~1w3o      
2012 01  03.34352  05 54 59.549  +30 01 39.40  20.7i 11WJ157   F51  C~1w3o      
2012 02  09.36853  05 52 12.813  +30 02 24.19  21.4G 11WJ157   F51  C~2jh4      
2012 02  09.38053  05 52 12.787  +30 02 24.21  21.2G 11WJ157   F51  C~2jh4      
2012 02  11.22310  05 52 07.197  +30 02 21.74  22.1G 11WJ157   F51  C~2jh4      
2012 02  11.22615  05 52 07.201  +30 02 21.78  21.0G 11WJ157   F51  C~2jh4      
2012 10  27.62571  06 07 09.211  +30 32 39.58  21.3G 11WJ157   F51  C~2jh4      
2012 10  27.63748  06 07 09.184  +30 32 39.86  21.4G 11WJ157   F51  C~2jh4      
2012 12  22.48527  06 02 50.623  +30 44 23.94  20.9r 11WJ157   F51  C~1w3o      
2012 12  22.49771  06 02 50.569  +30 44 24.20  20.7r 11WJ157   F51  C~1w3o      
2012 12  31.48780  06 01 59.348  +30 45 22.70  20.5i 11WJ157   F51  C~1w3o      
2012 12  31.49918  06 01 59.287  +30 45 22.95  20.7i 11WJ157   F51  C~1w3o      
2013 01  08.34764  06 01 15.852  +30 46 00.09  21.8g 11WJ157   F51  C~1w3o      
2013 01  17.42488  06 00 28.547  +30 46 27.48  21.2G 11WJ157   F51  C~2jh4      
2013 01  17.43743  06 00 28.491  +30 46 27.81  21.1G 11WJ157   F51  C~2jh4      
2013 11  25.52996  06 12 21.856  +31 22 07.87  20.8i 11WJ157   F51  C~1w3o      
2013 11  25.53062  06 12 21.859  +31 22 07.99  20.7i 11WJ157   F51  C~1w3o      
2013 11  25.54282  06 12 21.795  +31 22 08.22  20.6i 11WJ157   F51  C~1w3o      
2013 11  25.54348  06 12 21.795  +31 22 08.19  20.7i 11WJ157   F51  C~1w3o      
2013 11  27.58126  06 12 11.733  +31 22 37.38  21.0r 11WJ157   F51  C~1w3o      
2013 11  27.59089  06 12 11.677  +31 22 37.43  20.9r 11WJ157   F51  C~1w3o      
2013 11  27.60093  06 12 11.620  +31 22 37.52  20.8i 11WJ157   F51  C~1w3o      
2013 11  27.61132  06 12 11.570  +31 22 37.73  20.8i 11WJ157   F51  C~1w3o      
2013 11  28.50547  06 12 07.118  +31 22 50.08  20.0G 11WJ157   F51  C~2jh4      
2013 11  28.55315  06 12 06.840  +31 22 51.02  20.9r 11WJ157   F51  C~1w3o      
2015 01  14.42057  06 14 59.742  +32 12 30.55  20.8G 11WJ157   F51  C~2jh4      
2015 01  14.43347  06 14 59.674  +32 12 30.62  20.9G 11WJ157   F51  C~2jh4      
2015 01  14.44643  06 14 59.600  +32 12 30.69  20.9G 11WJ157   F51  C~2jh4      
2015 01  14.45924  06 14 59.532  +32 12 30.75  20.9G 11WJ157   F51  C~2jh4      
2015 01  16.43137  06 14 48.882  +32 12 38.91  20.9G 11WJ157   F51  C~2jh4      
2015 01  16.44299  06 14 48.813  +32 12 38.90  20.8G 11WJ157   F51  C~2jh4      
2015 01  16.45467  06 14 48.749  +32 12 38.98  20.6G 11WJ157   F51  C~2jh4      
2015 01  16.46619  06 14 48.684  +32 12 38.97  20.6G 11WJ157   F51  C~2jh4      
2015 01  23.27946  06 14 13.473  +32 12 59.63  21.0G 11WJ157   F51  C~2jh4      
2015 01  23.28012  06 14 13.465  +32 12 59.60  20.9G 11WJ157   F51  C~2jh4      
2015 01  23.29346  06 14 13.396  +32 12 59.62  21.0G 11WJ157   F51  C~2jh4      
2015 01  23.30743  06 14 13.331  +32 12 59.68  20.9G 11WJ157   F51  C~2jh4      
2015 01  23.30810  06 14 13.328  +32 12 59.69  20.7G 11WJ157   F51  C~2jh4      
2015 01  23.32147  06 14 13.254  +32 12 59.68  21.0G 11WJ157   F51  C~2jh4      
2015 12  18.36909  06 25 06.559  +32 50 09.39  21.0G 11WJ157   F51  C~2jh4      
2016 02  22.35921  06 19 40.826  +32 54 32.64  20.7G 11WJ157   F51  C~2jh5      

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     0.11       0.00    -0.06
  2   0.8051      0.00    -0.10       0.00     0.10
  3   1.5284      0.00    -0.12       0.00     0.13
  4   1.5338      0.00     0.13       0.00     0.08
  5   1.7445      0.00    -0.02       0.00     0.06
  6   1.7446      0.00     0.05       0.00    -0.01
  7   1.7447      0.00     0.14       0.00     0.05
  8   1.8207      0.00    -0.05       0.00    -0.01
  9   1.8207      0.00    -0.10       0.00    -0.18
 10   1.8507      0.00     0.12       0.00    -0.03
 11   1.8507      0.00     0.13       0.00    -0.06
 12   1.9521      0.00    -0.02       0.00    -0.07
 13   1.9521      0.00     0.17       0.00    -0.03
 14   1.9572      0.00    -0.06       0.00    -0.10
 15   1.9572      0.00     0.14       0.00    -0.06
 16   2.6674      0.00    -0.05       0.00    -0.03
 17   2.6674      0.00     0.02       0.00     0.05
 18   2.8203      0.00    -0.03       0.00    -0.09
 19   2.8204      0.00     0.25       0.00     0.08
 20   2.8450      0.00     0.04       0.00    -0.07
 21   2.8450      0.00     0.10       0.00     0.12
 22   2.8665      0.00    -0.07       0.00    -0.08
 23   2.8913      0.00    -0.01       0.00    -0.20
 24   2.8914      0.00     0.11       0.00     0.10
 25   3.7458      0.00    -0.02       0.00    -0.04
 26   3.7458      0.00     0.07       0.00     0.07
 27   3.7459      0.00     0.02       0.00     0.12
 28   3.7459      0.00     0.07       0.00     0.08
 29   3.7515      0.00     0.13       0.00     0.09
 30   3.7515      0.00     0.03       0.00     0.01
 31   3.7515      0.00    -0.06       0.00    -0.04
 32   3.7515      0.00    -0.02       0.00     0.03
 33   3.7540      0.00     0.48       0.00    -0.21
 34   3.7541      0.00    -0.00       0.00     0.07
 35   4.8818      0.00     0.04       0.00    -0.03
 36   4.8818      0.00     0.09       0.00    -0.02
 37   4.8818      0.00     0.06       0.00     0.00
 38   4.8819      0.00     0.10       0.00     0.01
 39   4.8873      0.00     0.09       0.00     0.01
 40   4.8873      0.00     0.00       0.00    -0.04
 41   4.8873      0.00    -0.00       0.00    -0.01
 42   4.8874      0.00    -0.04       0.00    -0.06
 43   4.9060      0.00     0.10       0.00     0.04
 44   4.9060      0.00     0.03       0.00     0.01
 45   4.9060      0.00     0.01       0.00     0.00
 46   4.9061      0.00     0.10       0.00     0.03
 47   4.9061      0.00     0.11       0.00     0.04
 48   4.9061      0.00     0.01       0.00    -0.01
 49   5.8070      0.00     0.13       0.00    -0.09
 50   5.9877      0.00    -0.05       0.00    -0.03

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.

11WJ157    quality flag:3

Type:       6:1EEEEE  6:1EEEEE  6:1EEEEE

axisobj       100.265   100.264   100.267
ecceobj         0.625     0.625     0.625
incobj         27.038    27.038    27.038
qmin           36.584    36.579    36.571
qmax          166.983   166.700   167.003
amean          99.418    99.420    99.417
amin           97.452    97.506    97.503
amax          102.260   102.160   102.270
emean           0.619     0.620     0.620
emin            0.608     0.609     0.609
emax            0.633     0.632     0.633
imean          26.199    26.065    26.065
imin           25.587    25.588    25.435
imax           26.630    26.441    26.493
excite_mean     0.760     0.760     0.760
fracstop        1.000     1.000     1.000
cjmean          2.864     2.863     2.864

libcent 0       179.5     179.8     180.6
libamp  0       160.4     161.8     161.4
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       116.4     118.3     114.9
kozaiamp         60.2      60.2      54.5