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 Fri Jul 20 01:38:00 2018
# Orbit generated from Bernstein formalism
# Fitting   30 observations of   30
# Arc:  15.04y
# First observation: 1999/03/22
#  Last observation: 2014/04/04
Preliminary a, adot, b, bdot, g, gdot:
  -0.002066   0.024317  -0.000379   0.003945   0.023608   0.000000
# Chi-squared of fit:    44.45 DOF:   54 RMS:  0.22
# Min/Max residuals:    -0.65    0.49
# Exact a, adot, b, bdot, g, gdot:
  1.600502E-05  2.190141E-02  1.836892E-06  3.530102E-03  2.316335E-02 -4.966330E-03
# Covariance matrix:
  2.1165E-13 -4.4802E-14  5.3062E-15 -6.0803E-15  1.1713E-13 -1.0931E-13
 -4.4802E-14  7.7960E-14 -1.1071E-14  1.2756E-14  8.7444E-14  2.2372E-13
  5.3062E-15 -1.1071E-14  1.3777E-13 -1.2218E-14 -1.1706E-14 -3.2296E-14
 -6.0803E-15  1.2756E-14 -1.2218E-14  3.2666E-15  1.3574E-14  3.7205E-14
  1.1713E-13  8.7444E-14 -1.1706E-14  1.3574E-14  5.0642E-13  2.3112E-13
 -1.0931E-13  2.2372E-13 -3.2296E-14  3.7205E-14  2.3112E-13  6.5294E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    7.339570 -160.026712    0.321566    0.121334   -0.943964  2451259.853516
# Heliocentric elements and errors
Epoch:              2451250.5000  =  1999/03/13
Mean Anomaly:          299.99251 +/-     0.015
Argument of Peri:      124.69677 +/-     0.020
Long of Asc Node:      161.95972 +/-     0.000
Inclination:            11.67125 +/-     0.000
Eccentricity:         0.23675458 +/-    0.0000
Semi-Major Axis:     47.39988896 +/-    0.0062
Time of Perihelion: 2471119.1046 +/-       3.2
Perihelion:          36.17774810 +/-    0.0053
Aphelion:            58.62202982 +/-    0.0080
Period (y)              326.3429 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -41.23837834 +/-    0.0012
Ecliptic Y          -14.64892200 +/-    0.0004
Ecliptic Z            5.51526977 +/-    0.0002
Ecliptic XDOT         0.00147936 +/-    0.0000
Ecliptic YDOT        -0.00220705 +/-    0.0000
Ecliptic ZDOT         0.00033885 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.10910297 +/-    0.0012
Geocenter to KBO     43.17165197 +/-    0.0013
# Hcoef:  6.25

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.

1999 03  22.352773 13 24 49.10   -01 00 20.6   22.8V 12KW51    645  C~2VVJ      
1999 03  22.353602 13 24 49.10   -01 00 20.6   21.8V 12KW51    645  C~2VVJ      
1999 03  22.356090 13 24 49.11   -01 00 20.6   23.5V 12KW51    645  C~2VVJ      
2000 04  06.341364 13 28 42.71   -01 09 31.6   22.6V 12KW51    645  C~2VVJ      
2000 04  06.342193 13 28 42.71   -01 09 31.6   22.2V 12KW51    645  C~2VVJ      
2000 04  06.344681 13 28 42.71   -01 09 31.6   23.8V 12KW51    645  C~2VVJ      
2000 04  25.253349 13 27 22.02   -01 01 03.0   22.2V 12KW51    645  C~2VVJ      
2000 04  25.254178 13 27 22.06   -01 01 03.3   21.8V 12KW51    645  C~2VVJ      
2000 04  25.256666 13 27 22.02   -01 01 02.9   23.4V 12KW51    645  C~2VVJ      
2000 05  03.286326 13 26 49.18   -00 57 56.5   22.4V 12KW51    645  C~2VVJ      
2000 05  03.287155 13 26 49.18   -00 57 56.2   21.9V 12KW51    645  C~2VVJ      
2000 05  03.289643 13 26 49.18   -00 57 56.5   23.5V 12KW51    645  C~2VVJ      
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    -0.22       0.00     0.12
  2   0.0000      0.00    -0.16       0.00     0.11
  3   0.0000      0.14     0.14       0.06     0.16
  4   1.0431   3455.89     0.09     798.50    -0.03
  5   1.0431   3455.89     0.15     798.50    -0.03
  6   1.0431   3455.89     0.33     798.50    -0.04
  7   1.0949   2143.11    -0.65     818.04    -0.16
  8   1.0949   2143.78     0.08     817.98    -0.21
  9   1.0949   2143.07    -0.46     818.13    -0.06
 10   1.1169   1616.53     0.19     806.93    -0.04
 11   1.1169   1616.41     0.13     807.21     0.24
 12   1.1169   1616.53     0.40     806.93    -0.03
 13  11.8091  60236.58    -0.26    8558.63    -0.62
 14  12.0987  56570.05     0.20    9661.86     0.33
 15  12.0988  56565.32    -0.31    9661.38    -0.02
 16  12.0989  56564.44     0.49    9661.63     0.27
 17  13.0708  62940.22     0.18   10573.78    -0.22
 18  13.1581  60444.26    -0.11   10467.09    -0.02
 19  13.1582  60443.29    -0.07   10466.98    -0.03
 20  13.1582  60442.38     0.02   10466.82    -0.08
 21  13.1582  60441.22    -0.12   10466.83     0.04
 22  14.0730  68597.96    -0.24   11504.93    -0.15
 23  14.0730  68597.03     0.07   11505.43     0.35
 24  14.0731  68595.95     0.23   11504.88    -0.20
 25  14.0731  68594.38    -0.11   11505.25     0.16
 26  14.1356  66746.62    -0.05   11446.62    -0.04
 27  14.1357  66745.37    -0.11   11446.64     0.07
 28  14.1357  66744.25    -0.02   11446.49     0.01
 29  14.1357  66743.15     0.07   11446.46     0.07
 30  15.0368  75510.65     0.10   12426.37     0.06

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
Type:                             2:1EII

axisobj        47.375    47.393    47.356
ecceobj         0.235     0.236     0.235
incobj         11.664    11.664    11.664
qmin           34.924    35.983    35.930
qmax           61.422    60.400    60.445
amean          47.796    47.796    47.796
amin           47.209    47.241    47.225
amax           48.493    48.456    48.486
emean           0.218     0.194     0.220
emin            0.156     0.146     0.187
emax            0.269     0.246     0.249
imean          11.959    13.440    12.038
imin            9.597    10.741    10.732
imax           14.595    15.137    13.296
excite_mean     0.303     0.304     0.303
fracstop        1.000     1.000     1.000
cjmean          3.033     3.033     3.034

libcent 0       255.6     187.4     262.0
libamp  0        67.6     135.8      61.6
libcent 1      -180.0    -180.0     135.7
libamp  1      -180.0    -180.0     104.4
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       121.4     105.8     113.5
kozaiamp         45.8      45.4      25.9