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 Thu Apr 26 01:37:55 2018
# Orbit generated from Bernstein formalism
# Fitting   91 observations of   95
# Arc:  14.21y
# First observation: 2002/03/12
#  Last observation: 2016/05/29
Preliminary a, adot, b, bdot, g, gdot:
  -0.002759   0.044913   0.001416  -0.008390   0.041079   0.000000
# Chi-squared of fit:    77.34 DOF:  176 RMS:  0.16
# Min/Max residuals:    -0.53    0.42
# Exact a, adot, b, bdot, g, gdot:
  1.991911E-05  4.142809E-02 -4.166005E-06 -7.837542E-03  3.336568E-02 -1.527582E-04
# Covariance matrix:
  1.9060E-13 -3.2634E-14 -6.4822E-15  4.0091E-15  8.9921E-16 -3.2608E-14
 -3.2634E-14  2.0433E-14  6.2603E-15 -3.6940E-15  2.0749E-14  3.0699E-14
 -6.4822E-15  6.2603E-15  1.5687E-13 -1.3816E-14  6.7395E-15  9.9541E-15
  4.0091E-15 -3.6940E-15 -1.3816E-14  1.8357E-15 -3.7018E-15 -5.8832E-15
  8.9921E-16  2.0749E-14  6.7395E-15 -3.7018E-15  5.5748E-14  3.1823E-14
 -3.2608E-14  3.0699E-14  9.9541E-15 -5.8832E-15  3.1823E-14  4.8856E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   16.201813 -168.097183    0.340526    0.260442   -0.896665  2452345.832325
# Heliocentric elements and errors
Epoch:              2452340.5000  =  2002/03/07
Mean Anomaly:          358.19017 +/-     0.001
Argument of Peri:      126.16842 +/-     0.001
Long of Asc Node:       66.67606 +/-     0.000
Inclination:            18.86721 +/-     0.000
Eccentricity:         0.24864730 +/-    0.0000
Semi-Major Axis:     41.07229349 +/-    0.0015
Time of Perihelion: 2452823.8456 +/-       0.2
Perihelion:          30.85977858 +/-    0.0014
Aphelion:            51.28480841 +/-    0.0021
Period (y)              263.2277 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -29.14464850 +/-    0.0002
Ecliptic Y           -5.79049304 +/-    0.0000
Ecliptic Z            8.36243262 +/-    0.0001
Ecliptic XDOT         0.00052890 +/-    0.0000
Ecliptic YDOT        -0.00336192 +/-    0.0000
Ecliptic ZDOT        -0.00062086 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.86860258 +/-    0.0002
Geocenter to KBO     29.97091281 +/-    0.0002
# Hcoef:  6.46

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 03  12.331582 13 09 12.55   +10 12 26.9   21.1V 12KU50    645  C~2VVJ      
2002 03  12.332412 13 09 12.55   +10 12 26.9   20.8V 12KU50    645  C~2VVJ      
2002 03  12.334899 13 09 12.54   +10 12 27.0   21.9V 12KU50    645  C~2VVJ      
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      
2003 04  27.155892 13 12 53.48   +09 15 15.9   21.1V 12KU50    645  C~2VVJ      
2003 04  27.156721 13 12 53.45   +09 15 15.9   20.7V 12KU50    645  C~2VVJ      
2003 04  27.159209 13 12 53.44   +09 15 16.1   22.2V 12KU50    645  C~2VVJ      
2006 05  26.171557 13 34 26.98   +05 13 33.6   21.1V 12KU50    645  C~2VVJ      
2006 05  26.172386 13 34 26.98   +05 13 33.6   20.8V 12KU50    645  C~2VVJ      
2006 05  26.174874 13 34 26.97   +05 13 33.6   21.9V 12KU50    645  C~2VVJ      
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    -0.06       0.00     0.09
  2   0.0000      0.00     0.02       0.00     0.09
  3   0.0000     -0.18     0.06       0.03     0.10
  4   0.0845  -2880.04     0.13     -31.38     0.02
  5   0.0845  -2882.19    -0.12     -31.21     0.39
  6   0.0846  -2885.01 (   0.16)    -31.00 (   0.93)
  7   1.1248   4360.18     0.22   -1853.85     0.03
  8   1.1248   4359.77    -0.12   -1854.02    -0.13
  9   1.1248   4359.55    -0.12   -1853.90     0.04
 10   4.2049  28003.98     0.07   -7391.18    -0.10
 11   4.2049  28003.98     0.12   -7391.18    -0.08
 12   4.2049  28003.84     0.14   -7391.25    -0.07
 13  10.1276  85452.43    -0.07  -17134.59    -0.33
 14  10.1276  85450.68    -0.15  -17134.70    -0.20
 15  10.1277  85449.13    -0.04  -17135.09    -0.35
 16  10.1277  85447.47    -0.04  -17135.37    -0.39
 17  10.1839  83311.40 (   1.37) -17528.56 (   0.24)
 18  10.1842  83303.35 (   1.60) -17529.49 (   1.26)
 19  10.1844  83293.44 (   1.49) -17532.52 (   0.55)
 20  10.1931  82993.62    -0.13  -17605.67    -0.06
 21  10.1931  82992.27    -0.11  -17606.02    -0.06
 22  10.1932  82990.94    -0.06  -17606.25     0.05
 23  10.1932  82989.51    -0.13  -17606.62     0.04
 24  10.1981  82825.35    -0.22  -17648.39     0.16
 25  10.1982  82820.37    -0.53  -17649.48     0.31
 26  10.2607  81119.99    -0.21  -18245.36    -0.45
 27  10.2610  81114.64    -0.43  -18247.92    -0.49
 28  11.1131  96059.48     0.16  -18938.95    -0.21
 29  11.1132  96058.20     0.19  -18939.01    -0.11
 30  11.1132  96056.98     0.21  -18939.22    -0.17
 31  11.1132  96055.80     0.23  -18939.25    -0.05
 32  11.1731  93636.00     0.32  -19319.33     0.20
 33  11.1732  93631.22     0.18  -19320.37     0.09
 34  12.1315 105647.77    -0.11  -20978.51     0.04
 35  12.1315 105647.60    -0.13  -20978.45     0.12
 36  12.1315 105646.50     0.10  -20978.62     0.13
 37  12.1315 105646.27     0.03  -20978.62     0.16
 38  12.1316 105645.16     0.25  -20978.92     0.04
 39  12.1316 105644.75    -0.00  -20979.04    -0.06
 40  12.1316 105643.30    -0.12  -20979.16     0.01
 41  12.1316 105643.08    -0.18  -20979.17     0.03
 42  12.1534 104720.03    -0.28  -21115.99    -0.12
 43  12.1534 104718.60    -0.25  -21116.27    -0.15
 44  12.1534 104717.25    -0.13  -21116.42    -0.06
 45  12.1535 104715.62    -0.29  -21116.71    -0.11
 46  12.2191 102186.85     0.24  -21640.04     0.02
 47  12.2192 102185.35    -0.04  -21640.42    -0.03
 48  12.2192 102184.49     0.32  -21640.71     0.00
 49  12.2192 102182.90    -0.06  -21641.12    -0.07
 50  12.2738 100654.42     0.24  -22159.87     0.13
 51  12.2739 100653.79     0.42  -22160.41    -0.05
 52  12.2739 100652.90     0.32  -22160.74    -0.02
 53  12.2739 100652.05     0.27  -22161.32    -0.23
 54  12.3011 100162.31     0.05  -22431.75    -0.05
 55  12.3012 100161.71    -0.02  -22432.10    -0.02
 56  12.3012 100161.37     0.18  -22432.30     0.14
 57  12.3012 100160.71     0.06  -22432.72     0.09
 58  12.8605 121607.93    -0.02  -23220.91     0.13
 59  12.8605 121608.20    -0.06  -23220.84     0.12
 60  12.8606 121608.62     0.06  -23220.77     0.10
 61  12.8606 121608.94     0.07  -23220.68     0.11
 62  12.8660 121723.85    -0.04  -23188.73     0.14
 63  12.8660 121724.12     0.01  -23188.62     0.19
 64  12.8661 121724.37     0.04  -23188.69     0.06
 65  12.8661 121724.47    -0.08  -23188.51     0.17
 66  13.0136 120959.86     0.03  -22666.23     0.02
 67  13.0137 120958.83     0.03  -22666.20     0.04
 68  13.0137 120957.76     0.00  -22666.26    -0.03
 69  13.0137 120956.77     0.05  -22666.16     0.07
 70  13.0163 120883.39    -0.02  -22665.45    -0.02
 71  13.0163 120882.34    -0.03  -22665.42     0.01
 72  13.0164 120881.40     0.07  -22665.45    -0.02
 73  13.0164 120880.48     0.18  -22665.35     0.09
 74  13.0245 120636.81     0.05  -22665.39    -0.06
 75  13.0245 120635.69     0.05  -22665.32     0.03
 76  13.0246 120634.48    -0.05  -22665.28     0.08
 77  13.0246 120633.20    -0.22  -22665.49    -0.11
 78  13.1939 113702.39     0.11  -23425.00     0.15
 79  13.1939 113700.93     0.13  -23425.27     0.20
 80  13.1939 113699.36     0.05  -23425.73     0.03
 81  13.1940 113697.93     0.09  -23426.05     0.02
 82  13.2019 113383.45    -0.14  -23491.55     0.02
 83  13.2019 113381.89    -0.30  -23492.10    -0.23
 84  13.2020 113380.51    -0.28  -23492.27    -0.09
 85  13.2020 113379.25    -0.13  -23492.68    -0.20
 86  13.2046 113277.80     0.03  -23514.35     0.15
 87  13.2047 113276.62     0.23  -23514.75     0.06
 88  13.2047 113275.37     0.37  -23514.97     0.14
 89  13.2047 113273.48    -0.13  -23515.49    -0.07
 90  13.3058 110437.26    -0.19  -24460.94    -0.06
 91  13.3058 110436.65    -0.23  -24461.17     0.07
 92  13.3059 110436.31    -0.02  -24461.66    -0.08
 93  13.3059 110435.58    -0.18  -24461.86     0.08
 94  14.2146 123883.94     0.02  -25678.12     0.16
 95  14.2148 123876.02     0.04  -25679.84     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        40.764    40.769    40.760
ecceobj         0.243     0.243     0.243
incobj         18.870    18.870    18.870
qmin           29.243    28.916    27.280
qmax           53.955    58.931    58.598
amean          40.366    42.460    42.557
amin           38.711    39.532    38.767
amax           42.402    44.873    44.639
emean           0.243     0.284     0.299
emin            0.191     0.239     0.239
emax            0.281     0.328     0.327
imean          15.637    15.514    13.511
imin           13.494    12.801    10.124
imax           17.826    17.728    17.728
excite_mean     0.363     0.391     0.380
fracstop        0.345     0.249     0.706
cjmean          2.903     2.900     2.911

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       172.9     193.9     176.7
kozaiamp        179.9     179.8     179.9