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 Wed Oct 18 01:37:59 2017
# Orbit generated from Bernstein formalism
# Fitting   24 observations of   24
# Arc:   2.95y
# First observation: 2010/12/17
#  Last observation: 2013/11/28
Preliminary a, adot, b, bdot, g, gdot:
  -0.000897   0.025936  -0.000320   0.012885   0.023988   0.000000
# Chi-squared of fit:     4.95 DOF:   42 RMS:  0.08
# Min/Max residuals:    -0.20    0.17
# Exact a, adot, b, bdot, g, gdot:
  1.675279E-05  2.493864E-02  7.643678E-06  1.246626E-02  2.412966E-02 -8.672963E-03
# Covariance matrix:
  9.6915E-13 -1.0243E-12  2.5650E-13 -4.1469E-13 -5.7806E-13 -9.1149E-12
 -1.0243E-12  1.2822E-12 -3.4874E-13  5.5970E-13  6.9080E-13  1.2284E-11
  2.5650E-13 -3.4874E-13  3.9455E-13 -2.8392E-13 -1.8525E-13 -3.5149E-12
 -4.1469E-13  5.5970E-13 -2.8392E-13  3.2251E-13  3.2166E-13  5.6502E-12
 -5.7806E-13  6.9080E-13 -1.8525E-13  3.2166E-13  9.3171E-13  7.1706E-12
 -9.1149E-12  1.2284E-11 -3.5149E-12  5.6502E-12  7.1706E-12  1.2404E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    5.845685   87.796422    0.040566    0.100207   -0.978615  2455547.907546
# Heliocentric elements and errors
Epoch:              2455540.5000  =  2010/12/10
Mean Anomaly:          350.88757 +/-     0.014
Argument of Peri:       58.45494 +/-     0.039
Long of Asc Node:       76.45867 +/-     0.000
Inclination:            27.08303 +/-     0.000
Eccentricity:         0.62197903 +/-    0.0004
Semi-Major Axis:     99.17038242 +/-    0.0922
Time of Perihelion: 2464671.1824 +/-       5.1
Perihelion:          37.48848392 +/-    0.0551
Aphelion:           160.85228092 +/-    0.1555
Period (y)              987.6002 +/-      1.38
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            1.66704758 +/-    0.0001
Ecliptic Y           42.17741706 +/-    0.0016
Ecliptic Z            4.22121195 +/-    0.0002
Ecliptic XDOT        -0.00287141 +/-    0.0000
Ecliptic YDOT        -0.00100716 +/-    0.0000
Ecliptic ZDOT         0.00130690 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.42089329 +/-    0.0016
Geocenter to KBO     41.44277521 +/-    0.0017
# Hcoef:  5.35

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 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 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 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  28.55315  06 12 06.840  +31 22 51.02  20.9r 11WJ157   F51  C~1w3o      

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     0.11
  2   0.7233   8194.28    -0.08    1215.11     0.13
  3   0.7288   8262.04     0.14    1246.45     0.07
  4   0.9395   6735.54    -0.05    2384.53     0.05
  5   0.9396   6733.61     0.01    2384.79    -0.03
  6   0.9396   6732.74     0.09    2385.01     0.03
  7   1.0157   4775.61    -0.07    2633.67    -0.03
  8   1.0157   4774.67    -0.11    2633.58    -0.20
  9   1.0457   3980.36     0.08    2695.12    -0.05
 10   1.0457   3979.43     0.09    2695.14    -0.09
 11   2.0153  10079.51    -0.06    5276.17    -0.12
 12   2.0153  10078.81     0.17    5276.42     0.05
 13   2.0399   9416.30    -0.00    5328.22    -0.10
 14   2.0400   9415.51     0.05    5328.46     0.09
 15   2.0614   8854.11    -0.09    5360.87    -0.11
 16   2.9408  17409.45    -0.05    7710.84    -0.06
 17   2.9408  17409.49     0.03    7710.96     0.05
 18   2.9408  17408.66    -0.01    7711.17     0.10
 19   2.9408  17408.66     0.03    7711.14     0.06
 20   2.9464  17277.97     0.08    7736.15     0.07
 21   2.9464  17277.24    -0.00    7736.18    -0.01
 22   2.9465  17276.50    -0.08    7736.24    -0.06
 23   2.9465  17275.85    -0.04    7736.43     0.00
 24   2.9491  17214.44    -0.03    7747.77     0.04

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:2

Type:       6:1EEEEE  6:1EEEEE  SCATNEAR

axisobj       100.262   100.516   100.010
ecceobj         0.625     0.626     0.624
incobj         27.038    27.038    27.038
qmin           36.582    36.604    36.145
qmax          166.883   166.424   166.697
amean          99.419    99.419    99.026
amin           97.495    97.547    97.124
amax          102.344   102.101   102.468
emean           0.620     0.609     0.618
emin            0.608     0.586     0.600
emax            0.632     0.633     0.634
imean          26.108    27.275    26.130
imin           25.548    25.604    25.083
imax           26.556    28.980    27.559
excite_mean     0.760     0.762     0.759
fracstop        1.000     1.000     1.000
cjmean          2.864     2.863     2.864

libcent 0        98.9      78.9    -180.0
libamp  0        79.6      46.3    -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       113.3      70.2     153.6
kozaiamp         53.4      12.2      99.5