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 Thu Oct 18 01:09:14 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   30 observations of   30
# Arc:  15.04y
# First observation: 1999/03/22
#  Last observation: 2014/04/04
# Chi-squared of fit:    44.68 DOF:   54 RMS:  0.22
# Min/Max residuals:    -0.60    0.57
# Exact a, adot, b, bdot, g, gdot:
  1.595888E-05  2.190143E-02  1.835721E-06  3.530098E-03  2.316339E-02 -4.966211E-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:              2451260.5000  =  1999/03/23
Mean Anomaly:          300.02123 +/-     0.015
Argument of Peri:      124.69766 +/-     0.020
Long of Asc Node:      161.95966 +/-     0.000
Inclination:            11.67123 +/-     0.000
Eccentricity:         0.23674781 +/-    0.0000
Semi-Major Axis:     47.39945678 +/-    0.0062
Time of Perihelion: 2471119.3257 +/-      20.1
Perihelion:          36.17773922 +/-    0.0053
Aphelion:            58.62117435 +/-    0.0080
Period (y)              326.3385 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -41.23830140 +/-    0.0012
Ecliptic Y          -14.64889192 +/-    0.0004
Ecliptic Z            5.51525908 +/-    0.0002
Ecliptic XDOT         0.00147935 +/-    0.0000
Ecliptic YDOT        -0.00220705 +/-    0.0000
Ecliptic ZDOT         0.00033886 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.10917078 +/-    0.0012
Geocenter to KBO     43.17174606 +/-    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    -0.10       0.00     0.17
  2   0.0000      0.00    -0.05       0.00     0.14
  3   0.0000      0.00     0.24       0.00     0.07
  4   1.0431      0.00     0.13       0.00    -0.09
  5   1.0431      0.00     0.18       0.00    -0.11
  6   1.0431      0.00     0.34       0.00    -0.18
  7   1.0949      0.00    -0.60       0.00     0.07
  8   1.0949      0.00     0.05       0.00    -0.25
  9   1.0949      0.00    -0.39       0.00     0.09
 10   1.1169      0.00     0.21       0.00    -0.13
 11   1.1169      0.00     0.26       0.00     0.15
 12   1.1169      0.00     0.41       0.00    -0.20
 13  11.8091      0.00    -0.47       0.00    -0.47
 14  12.0987      0.00     0.35       0.00     0.21
 15  12.0988      0.00    -0.22       0.00     0.07
 16  12.0989      0.00     0.57       0.00     0.06
 17  13.0708      0.00     0.13       0.00    -0.28
 18  13.1581      0.00    -0.04       0.00     0.00
 19  13.1582      0.00    -0.01       0.00    -0.01
 20  13.1582      0.00     0.05       0.00    -0.09
 21  13.1582      0.00    -0.03       0.00     0.06
 22  14.0730      0.00    -0.19       0.00    -0.08
 23  14.0730      0.00     0.23       0.00     0.26
 24  14.0731      0.00     0.18       0.00    -0.28
 25  14.0731      0.00     0.02       0.00     0.16
 26  14.1356      0.00     0.01       0.00    -0.04
 27  14.1357      0.00    -0.00       0.00     0.08
 28  14.1357      0.00     0.05       0.00    -0.01
 29  14.1357      0.00     0.15       0.00     0.02
 30  15.0368      0.00     0.16       0.00    -0.01

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        47.376    47.375    47.376
ecceobj         0.235     0.235     0.235
incobj         11.664    11.664    11.664
qmin           35.972    35.972    35.968
qmax           60.387    60.360    60.280
amean          47.797    47.796    47.796
amin           47.232    47.233    47.230
amax           48.462    48.444    48.417
emean           0.198     0.200     0.204
emin            0.150     0.154     0.148
emax            0.246     0.246     0.246
imean          13.093    13.051    12.821
imin           10.738    10.738    10.738
imax           14.952    14.742    15.057
excite_mean     0.303     0.303     0.303
fracstop        1.000     1.000     1.000
cjmean          3.034     3.034     3.033

libcent 0       254.2     254.6     252.5
libamp  0        68.9      68.2      70.0
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       108.2     108.5     110.0
kozaiamp         43.0      38.1      50.7