Orbit Fit and Astrometric record for 12KU50

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: 12KU50    
# Created Mon Oct 23 01:38:11 2017
# Orbit generated from Bernstein formalism
# Fitting   82 observations of   86
# Arc:  14.13y
# First observation: 2002/04/12
#  Last observation: 2016/05/29
Preliminary a, adot, b, bdot, g, gdot:
  -0.013220   0.045811   0.002746  -0.008375   0.041397   0.000000
# Chi-squared of fit:    75.49 DOF:  158 RMS:  0.17
# Min/Max residuals:    -0.51    0.43
# Exact a, adot, b, bdot, g, gdot:
  1.869397E-05  4.152243E-02 -3.897057E-06 -7.681420E-03  3.342169E-02 -8.482941E-04
# Covariance matrix:
  7.2332E-13 -1.1605E-13 -3.6375E-14  1.3459E-14 -4.7087E-14 -1.0198E-13
 -1.1605E-13  3.2557E-14  1.4502E-14 -5.3423E-15  2.4119E-14  4.0699E-14
 -3.6375E-14  1.4502E-14  5.4430E-13 -4.6318E-14  1.1948E-14  2.0415E-14
  1.3459E-14 -5.3423E-15 -4.6318E-14  4.6333E-15 -4.2436E-15 -7.5212E-15
 -4.7087E-14  2.4119E-14  1.1948E-14 -4.2436E-15  5.5943E-14  3.3803E-14
 -1.0198E-13  4.0699E-14  2.0415E-14 -7.5212E-15  3.3803E-14  5.7292E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   16.191475 -168.930184   -0.196463    0.274801   -0.946679  2452376.682313
# Heliocentric elements and errors
Epoch:              2452370.5000  =  2002/04/06
Mean Anomaly:          358.30414 +/-     0.001
Argument of Peri:      126.16447 +/-     0.002
Long of Asc Node:       66.67918 +/-     0.000
Inclination:            18.86654 +/-     0.000
Eccentricity:         0.24891084 +/-    0.0000
Semi-Major Axis:     41.08671276 +/-    0.0015
Time of Perihelion: 2452823.6459 +/-       0.2
Perihelion:          30.85978469 +/-    0.0014
Aphelion:            51.31364083 +/-    0.0020
Period (y)              263.3664 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -29.12820139 +/-    0.0002
Ecliptic Y           -5.89417766 +/-    0.0001
Ecliptic Z            8.34323732 +/-    0.0001
Ecliptic XDOT         0.00053804 +/-    0.0000
Ecliptic YDOT        -0.00336047 +/-    0.0000
Ecliptic ZDOT        -0.00062345 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.86750809 +/-    0.0002
Geocenter to KBO     29.92068696 +/-    0.0002
# Hcoef:  6.48

The following table shows the complete astrometric record for 12KU50. 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 (12KU50) followed by the observatory code and reference code for the source of the astrometry.

2002 04  12.18157  13 06 12.36   +10 30 53.9         12KU50    644  C~1vWf      
2002 04  12.20185  13 06 12.23   +10 30 54.9   20.6R 12KU50    644  C~1vWf      
2002 04  12.23463  13 06 12.06   +10 30 56.2         12KU50    644  C~1vWf      
2012 04  27.42935  14 24 02.087  -03 07 19.80  21.3w 12KU50    F51  C~1vWf      
2012 04  27.44432  14 24 01.993  -03 07 19.30  21.5w 12KU50    F51  C~1vWf      
2012 04  27.45931  14 24 01.902  -03 07 19.10  21.6w 12KU50    F51  C~1vWf      
2012 04  27.47428  14 24 01.808  -03 07 18.77  21.6w 12KU50    F51  C~1vWf      
2012 05  18.01147  14 21 59.740  -03 00 37.26  20.7R 12KU50    809  C~0hgC      
2012 05  18.09605  14 21 59.293  -03 00 35.28  20.9R 12KU50    809  C~0hgC      
2012 05  18.19612  14 21 58.693  -03 00 34.41  20.9R 12KU50    809  C~0hgC      
2012 05  21.35081  14 21 41.020  -02 59 52.73  21.5w 12KU50    F51  C~1vWf      
2012 05  21.36533  14 21 40.940  -02 59 52.56  21.6w 12KU50    F51  C~1vWf      
2012 05  21.37983  14 21 40.864  -02 59 52.30  21.5w 12KU50    F51  C~1vWf      
2012 05  21.39435  14 21 40.779  -02 59 52.11  21.4w 12KU50    F51  C~1vWf      
2012 05  23.17975  14 21 31.05   -02 59 30.7         12KU50    809  C~0hgC      
2012 05  23.23031  14 21 30.76   -02 59 29.9         12KU50    809  C~0hgC      
2012 06  15.06366  14 19 45.39   -02 58 03.5         12KU50    809  C~0hgC      
2012 06  15.15269  14 19 45.04   -02 58 03.8         12KU50    809  C~0hgC      
2013 04  22.40618  14 32 18.739  -04 30 37.58  20.6i 12KU50    F51  C~1vWf      
2013 04  22.41758  14 32 18.673  -04 30 37.22  20.7i 12KU50    F51  C~1vWf      
2013 04  22.42844  14 32 18.606  -04 30 37.00  21.0r 12KU50    F51  C~1vWf      
2013 04  22.43887  14 32 18.546  -04 30 36.64  21.0r 12KU50    F51  C~1vWf      
2013 05  14.31471  14 30 06.28   -04 22 42.0   20.9R 12KU50    G37  C~2FZv      
2013 05  14.35823  14 30 06.01   -04 22 41.3         12KU50    G37  C~2FZv      
2014 04  29.35550  14 39 21.945  -05 48 14.13  21.4w 12KU50    F51  C~1vWf      
2014 04  29.35681  14 39 21.938  -05 48 14.03  21.3w 12KU50    F51  C~1vWf      
2014 04  29.36805  14 39 21.880  -05 48 13.83  21.4w 12KU50    F51  C~1vWf      
2014 04  29.36937  14 39 21.869  -05 48 13.76  21.4w 12KU50    F51  C~1vWf      
2014 04  29.38062  14 39 21.807  -05 48 13.66  21.4w 12KU50    F51  C~1vWf      
2014 04  29.38193  14 39 21.784  -05 48 13.63  21.3w 12KU50    F51  C~1vWf      
2014 04  29.39321  14 39 21.710  -05 48 13.28  21.4w 12KU50    F51  C~1vWf      
2014 04  29.39452  14 39 21.699  -05 48 13.22  21.4w 12KU50    F51  C~1vWf      
2014 05  07.35100  14 38 33.103  -05 45 19.52  21.1i 12KU50    F51  C~1vWf      
2014 05  07.36357  14 38 33.026  -05 45 19.30  21.1i 12KU50    F51  C~1vWf      
2014 05  07.37615  14 38 32.956  -05 45 19.01  21.0i 12KU50    F51  C~1vWf      
2014 05  07.38875  14 38 32.869  -05 45 18.74  21.0i 12KU50    F51  C~1vWf      
2014 05  31.37188  14 36 15.116  -05 39 17.56  21.3w 12KU50    F51  C~1vWf      
2014 05  31.38482  14 36 15.032  -05 39 17.40  21.4w 12KU50    F51  C~1vWf      
2014 05  31.39772  14 36 14.982  -05 39 17.37  21.3w 12KU50    F51  C~1vWf      
2014 05  31.41064  14 36 14.893  -05 39 17.20  21.5w 12KU50    F51  C~1vWf      
2014 06  20.34256  14 34 45.844  -05 38 19.04  21.4w 12KU50    F51  C~1vWf      
2014 06  20.35566  14 34 45.799  -05 38 19.28  21.3w 12KU50    F51  C~1vWf      
2014 06  20.36879  14 34 45.746  -05 38 19.27  21.3w 12KU50    F51  C~1vWf      
2014 06  20.38189  14 34 45.689  -05 38 19.47  21.4w 12KU50    F51  C~1vWf      
2014 06  30.32174  14 34 14.384  -05 39 24.45  21.4w 12KU50    F51  C~1vWf      
2014 06  30.33497  14 34 14.345  -05 39 24.54  21.7w 12KU50    F51  C~1vWf      
2014 06  30.34820  14 34 14.323  -05 39 24.60  21.4w 12KU50    F51  C~1vWf      
2014 06  30.36146  14 34 14.279  -05 39 24.73  21.5w 12KU50    F51  C~1vWf      
2015 01  20.64066  14 51 02.974  -07 35 19.81  21.3w 12KU50    F51  C~1vWf      
2015 01  20.64592  14 51 02.988  -07 35 19.83  21.4w 12KU50    F51  C~1vWf      
2015 01  20.65119  14 51 03.009  -07 35 19.90  21.4w 12KU50    F51  C~1vWf      
2015 01  20.65646  14 51 03.026  -07 35 19.92  21.2w 12KU50    F51  C~1vWf      
2015 01  22.65095  14 51 09.107  -07 35 27.34  21.4w 12KU50    F51  C~1vWf      
2015 01  22.65508  14 51 09.122  -07 35 27.33  21.4w 12KU50    F51  C~1vWf      
2015 01  22.65923  14 51 09.132  -07 35 27.45  21.3w 12KU50    F51  C~1vWf      
2015 01  22.66339  14 51 09.141  -07 35 27.34  21.4w 12KU50    F51  C~1vWf      
2015 03  17.55939  14 50 46.749  -07 25 10.48  21.2w 12KU50    F51  C~1vWf      
2015 03  17.57240  14 50 46.702  -07 25 10.17  21.3w 12KU50    F51  C~1vWf      
2015 03  17.58544  14 50 46.651  -07 25 09.92  21.2w 12KU50    F51  C~1vWf      
2015 03  17.59846  14 50 46.608  -07 25 09.56  21.2w 12KU50    F51  C~1vWf      
2015 03  18.53254  14 50 43.237  -07 24 48.41  21.1w 12KU50    F51  C~1vWf      
2015 03  18.54529  14 50 43.189  -07 24 48.09  21.3w 12KU50    F51  C~1vWf      
2015 03  18.55802  14 50 43.145  -07 24 47.85  21.1w 12KU50    F51  C~1vWf      
2015 03  18.57074  14 50 43.105  -07 24 47.51  21.2w 12KU50    F51  C~1vWf      
2015 03  21.52918  14 50 31.845  -07 23 39.06  21.3w 12KU50    F51  C~1vWf      
2015 03  21.54205  14 50 31.795  -07 23 38.69  21.4w 12KU50    F51  C~1vWf      
2015 03  21.55476  14 50 31.740  -07 23 38.32  21.3w 12KU50    F51  C~1vWf      
2015 03  21.56754  14 50 31.676  -07 23 38.12  21.4w 12KU50    F51  C~1vWf      
2015 05  22.38550  14 44 48.024  -07 00 28.43  21.4w 12KU50    F51  C~1vWf      
2015 05  22.39878  14 44 47.948  -07 00 28.21  21.5w 12KU50    F51  C~1vWf      
2015 05  22.41201  14 44 47.862  -07 00 28.12  21.3w 12KU50    F51  C~1vWf      
2015 05  22.42522  14 44 47.786  -07 00 27.95  21.3w 12KU50    F51  C~1vWf      
2015 05  25.32673  14 44 31.202  -06 59 47.91  20.8i 12KU50    F51  C~1vWf      
2015 05  25.33964  14 44 31.114  -06 59 47.89  21.2i 12KU50    F51  C~1vWf      
2015 05  25.35252  14 44 31.044  -06 59 47.62  21.0i 12KU50    F51  C~1vWf      
2015 05  25.36539  14 44 30.974  -06 59 47.58  21.2i 12KU50    F51  C~1vWf      
2015 05  26.32295  14 44 25.606  -06 59 35.06  21.0i 12KU50    F51  C~1vWf      
2015 05  26.33580  14 44 25.540  -06 59 35.03  21.0i 12KU50    F51  C~1vWf      
2015 05  26.34870  14 44 25.475  -06 59 34.84  21.1i 12KU50    F51  C~1vWf      
2015 05  26.36165  14 44 25.372  -06 59 34.70  21.0i 12KU50    F51  C~1vWf      
2015 07  02.27819  14 41 45.933  -06 58 08.79  21.1i 12KU50    F51  C~1vWf      
2015 07  02.29113  14 41 45.898  -06 58 08.79  21.1i 12KU50    F51  C~1vWf      
2015 07  02.30392  14 41 45.869  -06 58 09.08  21.3i 12KU50    F51  C~1vWf      
2015 07  02.31700  14 41 45.829  -06 58 09.02  21.2i 12KU50    F51  C~1vWf      
2016 05  29.22492  14 51 47.166  -08 17 14.05  20.8R 12KU50    G37              
2016 05  29.29706  14 51 46.761  -08 17 13.21        12KU50    G37              

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     0.20       0.00     0.05
  2   0.0001     -2.16    -0.05       0.16     0.42
  3   0.0001     -4.97 (   0.22)      0.35 (   0.96)
  4  10.0431  88914.33    -0.04  -16843.83    -0.33
  5  10.0432  88912.57    -0.13  -16843.95    -0.20
  6  10.0432  88911.00    -0.02  -16844.35    -0.35
  7  10.0432  88909.32    -0.02  -16844.64    -0.38
  8  10.0995  86749.83 (   1.41) -17246.34 (   0.25)
  9  10.0997  86741.69 (   1.63) -17247.29 (   1.28)
 10  10.1000  86731.68 (   1.52) -17250.37 (   0.56)
 11  10.1086  86428.69    -0.11  -17324.81    -0.06
 12  10.1086  86427.33    -0.09  -17325.16    -0.06
 13  10.1087  86425.99    -0.04  -17325.40     0.06
 14  10.1087  86424.54    -0.11  -17325.77     0.05
 15  10.1136  86258.66    -0.20  -17368.26     0.17
 16  10.1138  86253.63    -0.51  -17369.37     0.32
 17  10.1763  84536.30    -0.19  -17973.50    -0.45
 18  10.1765  84530.91    -0.41  -17976.09    -0.49
 19  11.0287  99662.08     0.18  -18629.00    -0.21
 20  11.0287  99660.78     0.21  -18629.07    -0.11
 21  11.0287  99659.55     0.23  -18629.29    -0.17
 22  11.0288  99658.35     0.25  -18629.32    -0.05
 23  11.0887  97208.27     0.33  -19018.64     0.20
 24  11.0888  97203.43     0.19  -19019.71     0.09
 25  12.0470 109392.55    -0.11  -20656.40     0.04
 26  12.0470 109392.37    -0.13  -20656.34     0.12
 27  12.0471 109391.25     0.11  -20656.52     0.14
 28  12.0471 109391.02     0.04  -20656.52     0.16
 29  12.0471 109389.90     0.26  -20656.83     0.04
 30  12.0471 109389.48     0.00  -20656.95    -0.06
 31  12.0471 109388.01    -0.12  -20657.07     0.01
 32  12.0471 109387.78    -0.18  -20657.08     0.02
 33  12.0689 108451.83    -0.28  -20797.36    -0.12
 34  12.0689 108450.38    -0.24  -20797.64    -0.15
 35  12.0690 108449.01    -0.13  -20797.80    -0.06
 36  12.0690 108447.36    -0.29  -20798.09    -0.11
 37  12.1347 105884.44     0.25  -21331.84     0.02
 38  12.1347 105882.92    -0.04  -21332.22    -0.03
 39  12.1347 105882.05     0.33  -21332.52     0.00
 40  12.1348 105880.44    -0.05  -21332.93    -0.08
 41  12.1894 104332.56     0.25  -21859.29     0.13
 42  12.1894 104331.92     0.43  -21859.83    -0.05
 43  12.1894 104331.02     0.33  -21860.17    -0.02
 44  12.1895 104330.16     0.28  -21860.76    -0.24
 45  12.2167 103834.70     0.05  -22134.32    -0.05
 46  12.2167 103834.09    -0.01  -22134.67    -0.02
 47  12.2167 103833.75     0.19  -22134.87     0.14
 48  12.2168 103833.07     0.06  -22135.30     0.09
 49  12.7761 125612.93    -0.02  -22874.80     0.13
 50  12.7761 125613.20    -0.06  -22874.73     0.12
 51  12.7761 125613.63     0.05  -22874.66     0.10
 52  12.7761 125613.95     0.07  -22874.57     0.11
 53  12.7816 125730.67    -0.04  -22842.07     0.14
 54  12.7816 125730.95     0.00  -22841.95     0.18
 55  12.7816 125731.20     0.03  -22842.02     0.06
 56  12.7816 125731.30    -0.09  -22841.84     0.17
 57  12.9292 124951.75     0.02  -22317.15     0.02
 58  12.9292 124950.70     0.03  -22317.12     0.04
 59  12.9292 124949.61    -0.00  -22317.19    -0.03
 60  12.9293 124948.61     0.05  -22317.08     0.07
 61  12.9318 124874.00    -0.02  -22316.56    -0.03
 62  12.9319 124872.92    -0.04  -22316.53     0.01
 63  12.9319 124871.97     0.06  -22316.57    -0.02
 64  12.9319 124871.03     0.18  -22316.46     0.08
 65  12.9400 124623.28     0.04  -22317.13    -0.07
 66  12.9401 124622.14     0.04  -22317.07     0.02
 67  12.9401 124620.91    -0.06  -22317.03     0.08
 68  12.9401 124619.62    -0.23  -22317.24    -0.11
 69  13.1094 117579.34     0.10  -23100.46     0.15
 70  13.1094 117577.86     0.13  -23100.72     0.19
 71  13.1095 117576.27     0.04  -23101.20     0.03
 72  13.1095 117574.81     0.09  -23101.52     0.02
 73  13.1174 117255.65    -0.15  -23168.32     0.01
 74  13.1175 117254.07    -0.31  -23168.88    -0.23
 75  13.1175 117252.67    -0.29  -23169.05    -0.10
 76  13.1175 117251.39    -0.14  -23169.47    -0.21
 77  13.1202 117148.43     0.02  -23191.56     0.15
 78  13.1202 117147.23     0.23  -23191.96     0.06
 79  13.1202 117145.97     0.37  -23192.19     0.14
 80  13.1203 117144.05    -0.14  -23192.72    -0.07
 81  13.2213 114267.67    -0.20  -24152.44    -0.06
 82  13.2214 114267.05    -0.24  -24152.67     0.06
 83  13.2214 114266.70    -0.02  -24153.17    -0.08
 84  13.2215 114265.96    -0.19  -24153.37     0.08
 85  14.1302 127937.46     0.00  -25347.18     0.15
 86  14.1304 127929.41     0.02  -25348.92     0.17

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.

12KU50    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        40.765    40.769    40.761
ecceobj         0.243     0.243     0.243
incobj         18.870    18.870    18.870
qmin           29.062    30.197    28.995
qmax           63.810    60.772    60.472
amean          42.760    41.254    42.949
amin           39.736    40.716    40.742
amax           47.383    45.798    45.654
emean           0.286     0.253     0.295
emin            0.215     0.239     0.241
emax            0.352     0.327     0.341
imean          15.412    16.888    15.295
imin           11.913    15.269    13.358
imax           17.892    17.728    17.728
excite_mean     0.393     0.386     0.397
fracstop        0.230     0.172     0.156
cjmean          2.901     2.897     2.898

libcent 0      -180.0    -180.0    -180.0
libamp  0      -180.0    -180.0    -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       194.1     229.5     182.1
kozaiamp        179.6     179.8     179.3