Orbit Fit and Astrometric record for 12KW51

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: 12KW51    
# Created Wed Oct 18 01:38:11 2017
# Orbit generated from Bernstein formalism
# Fitting   18 observations of   18
# Arc:   3.23y
# First observation: 2011/01/11
#  Last observation: 2014/04/04
Preliminary a, adot, b, bdot, g, gdot:
   0.000097   0.025248  -0.000071   0.002981   0.024987   0.000000
# Chi-squared of fit:    20.76 DOF:   30 RMS:  0.19
# Min/Max residuals:    -0.55    0.43
# Exact a, adot, b, bdot, g, gdot:
  1.719969E-05  2.421664E-02  4.521154E-06  2.833852E-03  2.391944E-02 -4.445072E-03
# Covariance matrix:
  9.9861E-13  1.0157E-13 -1.6877E-13  3.7826E-14  9.2893E-13  4.3980E-12
  1.0157E-13  7.3916E-13 -1.7565E-13  1.4114E-13  7.9572E-13  1.1729E-11
 -1.6877E-13 -1.7565E-13  3.9221E-13 -1.8939E-13 -3.2345E-13 -3.1517E-12
  3.7826E-14  1.4114E-13 -1.8939E-13  1.2598E-13  1.5469E-13  2.5759E-12
  9.2893E-13  7.9572E-13 -3.2345E-13  1.5469E-13  1.6421E-12  1.4205E-11
  4.3980E-12  1.1729E-11 -3.1517E-12  2.5759E-12  1.4205E-11  2.1350E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    9.323141 -143.536383    0.950373   -0.042296    0.257610  2455573.132926
# Heliocentric elements and errors
Epoch:              2455570.5000  =  2011/01/09
Mean Anomaly:          313.65145 +/-     0.033
Argument of Peri:      124.06974 +/-     0.054
Long of Asc Node:      161.94944 +/-     0.003
Inclination:            11.65775 +/-     0.000
Eccentricity:         0.23752155 +/-    0.0006
Semi-Major Axis:     47.56700497 +/-    0.0203
Time of Perihelion: 2470997.8315 +/-       4.6
Perihelion:          36.26881612 +/-    0.0342
Aphelion:            58.86519382 +/-    0.0395
Period (y)              328.0703 +/-      0.21
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -33.52872899 +/-    0.0018
Ecliptic Y          -23.59992528 +/-    0.0013
Ecliptic Z            6.77300626 +/-    0.0004
Ecliptic XDOT         0.00209248 +/-    0.0000
Ecliptic YDOT        -0.00189348 +/-    0.0000
Ecliptic ZDOT         0.00023767 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.55725875 +/-    0.0016
Geocenter to KBO     41.80699215 +/-    0.0022
# Hcoef:  6.29

The following table shows the complete astrometric record for 12KW51. 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 (12KW51) followed by the observatory code and reference code for the source of the astrometry.

2011 01  11.63216  14 28 49.379  -04 51 20.56  22.6w 12KW51    F51  C~1w3q      
2011 04  27.38827  14 25 43.643  -04 14 04.89  22.9w 12KW51    F51  C~1w3q      
2011 04  27.44109  14 25 43.359  -04 14 03.70  21.6r 12KW51    F51  C~1w3q      
2011 04  27.46200  14 25 43.314  -04 14 03.18  21.5i 12KW51    F51  C~1w3q      
2012 04  16.47339  14 32 09.408  -04 36 28.20  22.0r 12KW51    F51  C~1w3q      
2012 05  18.36237  14 29 44.683  -04 24 01.73  22.5w 12KW51    F51  C~1w3q      
2012 05  18.37593  14 29 44.625  -04 24 01.50  22.9w 12KW51    F51  C~1w3q      
2012 05  18.38954  14 29 44.569  -04 24 01.33  22.6w 12KW51    F51  C~1w3q      
2012 05  18.40320  14 29 44.503  -04 24 00.93  22.3w 12KW51    F51  C~1w3q      
2013 04  17.50412  14 37 49.417  -04 54 03.62  22.5w 12KW51    F51  C~1w3q      
2013 04  17.51929  14 37 49.376  -04 54 02.87  22.4w 12KW51    F51  C~1w3q      
2013 04  17.53443  14 37 49.304  -04 54 03.00  22.4w 12KW51    F51  C~1w3q      
2013 04  17.54960  14 37 49.224  -04 54 02.16  22.4w 12KW51    F51  C~1w3q      
2013 05  10.38838  14 36 04.235  -04 44 42.45  22.4w 12KW51    F51  C~1w3q      
2013 05  10.40324  14 36 04.165  -04 44 42.01  22.5w 12KW51    F51  C~1w3q      
2013 05  10.41812  14 36 04.099  -04 44 41.78  22.4w 12KW51    F51  C~1w3q      
2013 05  10.43297  14 36 04.036  -04 44 41.44  22.6w 12KW51    F51  C~1w3q      
2014 04  04.53630  14 44 32.814  -05 18 04.81  22.5w 12KW51    F51  C~1w3q      

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    -0.25       0.00    -0.55
  2   0.2895  -3349.02     0.16    1223.94     0.36
  3   0.2897  -3353.43    -0.32    1223.70     0.05
  4   0.2897  -3354.23     0.43    1223.97     0.29
  5   1.2617   2546.69     0.19    1803.75    -0.20
  6   1.3490    257.23    -0.09    1817.54     0.00
  7   1.3491    256.33    -0.05    1817.48    -0.00
  8   1.3491    255.48     0.03    1817.37    -0.06
  9   1.3491    254.42    -0.09    1817.44     0.06
 10   2.2639   7704.27    -0.20    2425.31    -0.15
 11   2.2639   7703.44     0.09    2425.82     0.30
 12   2.2639   7702.46     0.21    2425.36    -0.22
 13   2.2640   7701.06    -0.08    2425.77     0.13
 14   2.3265   6033.30    -0.03    2456.71    -0.06
 15   2.3265   6032.17    -0.08    2456.79     0.05
 16   2.3266   6031.16    -0.00    2456.69    -0.02
 17   2.3266   6030.16     0.08    2456.71     0.03
 18   3.2277  13895.58     0.00    2969.46    -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.

12KW51    quality flag:3

Type:           2:1E      2:1E      2:1E

axisobj        47.384    47.438    47.330
ecceobj         0.236     0.237     0.234
incobj         11.665    11.665    11.665
qmin           35.965    35.925    33.911
qmax           60.312    60.368    62.557
amean          47.796    47.796    47.796
amin           47.230    47.225    47.146
amax           48.457    48.419    48.509
emean           0.202     0.165     0.258
emin            0.149     0.104     0.222
emax            0.246     0.247     0.290
imean          13.062    14.755     8.921
imin           10.740    10.744     6.931
imax           14.877    16.852    11.002
excite_mean     0.304     0.307     0.302
fracstop        1.000     1.000     1.000
cjmean          3.033     3.030     3.034

libcent 0       186.2     178.1     268.1
libamp  0       136.4     144.3      58.9
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       107.4     144.7     167.1
kozaiamp         43.1     109.1      69.7