Orbit Fit and Astrometric record for 12HG84

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: 12HG84    
# Created Tue Oct 24 01:38:10 2017
# Orbit generated from Bernstein formalism
# Fitting   60 observations of   66
# Arc:   3.18y
# First observation: 2012/04/19
#  Last observation: 2015/06/22
Preliminary a, adot, b, bdot, g, gdot:
  -0.000106   0.025108  -0.000006   0.004120   0.025037   0.000000
# Chi-squared of fit:    20.65 DOF:  114 RMS:  0.10
# Min/Max residuals:    -0.36    0.38
# Exact a, adot, b, bdot, g, gdot:
  8.279701E-06  2.497428E-02  2.503197E-06  4.099625E-03  2.508556E-02 -1.489678E-03
# Covariance matrix:
  1.5514E-13 -6.8002E-14  2.5763E-15 -4.0646E-15  6.0613E-14 -2.7285E-13
 -6.8002E-14  2.1857E-13 -1.7201E-14  3.7107E-14  1.7562E-13  2.7536E-12
  2.5763E-15 -1.7201E-14  1.0867E-13 -4.7005E-14 -1.4644E-14 -2.4162E-13
 -4.0646E-15  3.7107E-14 -4.7005E-14  3.0136E-14  3.4325E-14  5.2351E-13
  6.0613E-14  1.7562E-13 -1.4644E-14  3.4325E-14  3.0873E-13  2.5998E-12
 -2.7285E-13  2.7536E-12 -2.4162E-13  5.2351E-13  2.5998E-12  3.8892E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -5.850515 -124.369908    0.475451   -0.090502   -0.883314  2456034.735576
# Heliocentric elements and errors
Epoch:              2456030.5000  =  2012/04/13
Mean Anomaly:          309.33795 +/-     0.065
Argument of Peri:       26.94742 +/-     0.089
Long of Asc Node:      266.32225 +/-     0.001
Inclination:            10.90000 +/-     0.000
Eccentricity:         0.08579510 +/-    0.0002
Semi-Major Axis:     42.87460972 +/-    0.0039
Time of Perihelion: 2470460.9208 +/-      18.5
Perihelion:          39.19617822 +/-    0.0104
Aphelion:            46.55304122 +/-    0.0107
Period (y)              280.7427 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -23.27781069 +/-    0.0005
Ecliptic Y          -33.19533176 +/-    0.0007
Ecliptic Z           -4.06332777 +/-    0.0001
Ecliptic XDOT         0.00231043 +/-    0.0000
Ecliptic YDOT        -0.00143922 +/-    0.0000
Ecliptic ZDOT         0.00046178 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.74674409 +/-    0.0007
Geocenter to KBO     39.86357528 +/-    0.0009
# Hcoef:  5.68

The following table shows the complete astrometric record for 12HG84. 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 (12HG84) followed by the observatory code and reference code for the source of the astrometry.

2012 04  17.23481  15 27 04.036  -24 50 36.60  22.3R 12HG84    809  C~0hfx      
2012 04  17.30022  15 27 03.659  -24 50 35.73  22.0R 12HG84    809  C~0hfx      
2012 04  17.36718  15 27 03.391  -24 50 34.76  22.1R 12HG84    809  C~0hfx      
2012 04  19.15328  15 26 55.09   -24 50 08.7         12HG84    809  C~0hfx      
2012 04  19.29240  15 26 54.44   -24 50 07.0         12HG84    809  C~0hfx      
2012 05  19.39396  15 24 21.805  -24 40 58.16  21.4w 12HG84    F51  C~1vWe      
2012 05  19.40946  15 24 21.721  -24 40 57.93  21.6w 12HG84    F51  C~1vWe      
2012 05  19.42493  15 24 21.636  -24 40 57.59  21.6w 12HG84    F51  C~1vWe      
2012 05  19.44038  15 24 21.561  -24 40 57.21  21.4w 12HG84    F51  C~1vWe      
2012 05  20.37943  15 24 16.679  -24 40 37.15  21.5w 12HG84    F51  C~1vWe      
2012 05  20.39403  15 24 16.608  -24 40 36.78  21.5w 12HG84    F51  C~1vWe      
2012 05  20.40864  15 24 16.522  -24 40 36.51  21.4w 12HG84    F51  C~1vWe      
2012 05  20.42319  15 24 16.439  -24 40 36.17  21.4w 12HG84    F51  C~1vWe      
2012 06  23.11892  15 21 39.78   -24 28 08.6         12HG84    809  C~0hfx      
2012 06  23.16910  15 21 39.60   -24 28 07.7         12HG84    809  C~0hfx      
2013 04  03.56346  15 34 22.786  -25 00 05.84  21.1i 12HG84    F51  C~1w3q      
2013 04  03.57500  15 34 22.742  -25 00 05.93  21.2i 12HG84    F51  C~1w3q      
2013 05  11.42039  15 31 27.685  -24 51 10.58  21.7w 12HG84    F51  C~1w3q      
2013 05  11.43426  15 31 27.615  -24 51 10.26  21.7w 12HG84    F51  C~1w3q      
2013 06  01.36071  15 29 39.086  -24 43 58.05  21.4w 12HG84    F51  C~1vWe      
2013 06  01.37552  15 29 39.019  -24 43 57.54  21.6w 12HG84    F51  C~1vWe      
2013 06  01.39032  15 29 38.937  -24 43 57.30  21.6w 12HG84    F51  C~1vWe      
2013 06  01.40514  15 29 38.859  -24 43 57.02  21.6w 12HG84    F51  C~1vWe      
2013 06  14.32700  15 28 37.518  -24 39 14.79  21.4r 12HG84    F51  C~1w3q      
2013 06  14.33755  15 28 37.451  -24 39 14.62  21.2i 12HG84    F51  C~1w3q      
2013 06  27.33261  15 27 44.634  -24 34 38.14  21.3r 12HG84    F51  C~1w3q      
2013 06  27.34308  15 27 44.611  -24 34 38.05  21.3i 12HG84    F51  C~1w3q      
2014 04  30.45560  15 38 50.415  -25 00 44.99  21.9w 12HG84    F51  C~1vWe      
2014 04  30.46750  15 38 50.345  -25 00 44.77  21.5w 12HG84    F51  C~1vWe      
2014 04  30.47937  15 38 50.286  -25 00 44.54  21.7w 12HG84    F51  C~1vWe      
2014 04  30.49125  15 38 50.222  -25 00 44.39  21.5w 12HG84    F51  C~1vWe      
2014 05  08.47232  15 38 09.480  -24 58 31.02  21.6w 12HG84    F51  C~1vWe      
2014 05  08.48442  15 38 09.416  -24 58 30.68  21.6w 12HG84    F51  C~1vWe      
2014 05  08.49654  15 38 09.351  -24 58 30.53  21.6w 12HG84    F51  C~1vWe      
2014 05  08.50864  15 38 09.287  -24 58 30.36  21.6w 12HG84    F51  C~1vWe      
2014 05  10.46911  15 37 59.075  -24 57 55.44  20.8i 12HG84    F51  C~1vWe      
2014 05  10.48123  15 37 59.016  -24 57 55.17  21.0i 12HG84    F51  C~1vWe      
2014 05  10.49332  15 37 58.936  -24 57 55.01  21.1i 12HG84    F51  C~1vWe      
2014 05  10.50544  15 37 58.878  -24 57 54.69  20.8i 12HG84    F51  C~1vWe      
2014 05  30.34325  15 36 14.978  -24 51 25.01  21.5w 12HG84    F51  C~1vWe      
2014 05  30.35382  15 36 14.921  -24 51 24.79  21.4w 12HG84    F51  C~1vWe      
2014 05  30.36439  15 36 14.860  -24 51 24.76  21.4w 12HG84    F51  C~1vWe      
2014 05  30.37498  15 36 14.804  -24 51 24.60  21.5w 12HG84    F51  C~1vWe      
2014 06  27.32511  15 34 07.365  -24 41 38.54  21.5w 12HG84    F51  C~1vWe      
2014 06  27.33643  15 34 07.325  -24 41 38.41  21.6w 12HG84    F51  C~1vWe      
2014 06  27.34773  15 34 07.279  -24 41 38.07  21.6w 12HG84    F51  C~1vWe      
2014 06  27.35915  15 34 07.237  -24 41 37.86  21.6w 12HG84    F51  C~1vWe      
2015 03  22.55912  15 47 46.656  -25 11 50.16  21.7w 12HG84    F51  C~1vWe      
2015 03  22.56974  15 47 46.628  -25 11 50.17  21.6w 12HG84    F51  C~1vWe      
2015 03  22.58032  15 47 46.598  -25 11 50.04  21.7w 12HG84    F51  C~1vWe      
2015 03  22.59094  15 47 46.577  -25 11 49.99  21.6w 12HG84    F51  C~1vWe      
2015 04  02.56580  15 47 16.111  -25 11 02.42  20.9i 12HG84    F51  C~1vWe      
2015 04  02.57658  15 47 16.101  -25 11 02.45  21.2i 12HG84    F51  C~1vWe      
2015 04  02.58740  15 47 16.049  -25 11 02.39  20.9i 12HG84    F51  C~1vWe      
2015 04  20.49327  15 46 06.004  -25 08 17.14  21.5w 12HG84    F51  C~1vWe      
2015 04  20.50403  15 46 05.964  -25 08 16.86  21.5w 12HG84    F51  C~1vWe      
2015 04  20.51465  15 46 05.909  -25 08 16.63  21.7w 12HG84    F51  C~1vWe      
2015 04  20.52540  15 46 05.872  -25 08 16.77  21.8w 12HG84    F51  C~1vWe      
2015 05  26.37322  15 43 03.929  -24 58 27.90  20.7i 12HG84    F51  C~1vWe      
2015 05  26.38383  15 43 03.863  -24 58 27.50  20.7i 12HG84    F51  C~1vWe      
2015 05  26.39442  15 43 03.809  -24 58 27.39  20.9i 12HG84    F51  C~1vWe      
2015 05  26.40501  15 43 03.752  -24 58 27.24  20.9i 12HG84    F51  C~1vWe      
2015 06  22.37863  15 40 52.879  -24 49 19.20  21.2i 12HG84    F51  C~1vWe      
2015 06  22.38895  15 40 52.843  -24 49 19.07  21.1i 12HG84    F51  C~1vWe      
2015 06  22.39932  15 40 52.795  -24 49 18.73  21.1i 12HG84    F51  C~1vWe      
2015 06  22.40968  15 40 52.755  -24 49 18.49  21.2i 12HG84    F51  C~1vWe      

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 (   1.54)      0.00 (   0.02)
  2   0.0002     -5.19 (   0.58)     -0.43 (  -0.25)
  3   0.0004     -8.96 (   1.13)     -0.39 (  -0.07)
  4   0.0053   -124.89 (  -0.45)     -3.12 (   0.62)
  5   0.0056   -133.89    -0.27      -3.66     0.38
  6   0.0880  -2284.23     0.01       7.99    -0.03
  7   0.0881  -2285.40     0.02       7.92    -0.13
  8   0.0881  -2286.61    -0.03       7.96    -0.13
  9   0.0882  -2287.69     0.05       8.07    -0.05
 10   0.0907  -2357.15     0.02      10.69    -0.05
 11   0.0908  -2358.18     0.09      10.81     0.03
 12   0.0908  -2359.38    -0.01      10.77    -0.04
 13   0.0909  -2360.56    -0.10      10.81    -0.03
 14   0.1831  -4618.22 (  -0.42)    189.47 (   0.58)
 15   0.1833  -4620.82 (  -0.19)    189.71 (   0.44)
 16   0.9619   5931.33     0.00     885.84     0.02
 17   0.9619   5930.77     0.02     885.61    -0.16
 18   1.0655   3489.18     0.12     841.15    -0.06
 19   1.0656   3488.18     0.16     841.23     0.01
 20   1.1229   1949.38     0.07     904.08    -0.06
 21   1.1229   1948.37     0.13     904.35     0.15
 22   1.1229   1947.23     0.07     904.31     0.05
 23   1.1230   1946.13     0.04     904.33    -0.00
 24   1.1584   1066.52     0.32     974.22     0.19
 25   1.1584   1065.59     0.08     974.17     0.06
 26   1.1940    299.48    -0.36    1065.37     0.01
 27   1.1940    299.16    -0.11    1065.38    -0.06
 28   2.0348   9485.77     0.12    1687.05    -0.01
 29   2.0349   9484.79    -0.02    1687.04    -0.01
 30   2.0349   9483.95    -0.01    1687.09     0.04
 31   2.0349   9483.07    -0.05    1687.04    -0.01
 32   2.0568   8912.20    -0.03    1691.06    -0.03
 33   2.0568   8911.27    -0.06    1691.20     0.09
 34   2.0568   8910.38    -0.06    1691.14     0.03
 35   2.0569   8909.49    -0.05    1691.11    -0.02
 36   2.0622   8766.06    -0.03    1693.45    -0.06
 37   2.0623   8765.21     0.04    1693.53     0.01
 38   2.0623   8764.12    -0.16    1693.44    -0.10
 39   2.0623   8763.27    -0.10    1693.57     0.02
 40   2.1167   7295.80     0.08    1748.19     0.10
 41   2.1167   7294.99     0.06    1748.23     0.10
 42   2.1167   7294.18     0.02    1748.06    -0.10
 43   2.1167   7293.40     0.03    1748.04    -0.16
 44   2.1933   5467.17    -0.11    1913.36     0.02
 45   2.1933   5466.61    -0.04    1913.35    -0.07
 46   2.1933   5465.92    -0.09    1913.54     0.03
 47   2.1934   5465.31    -0.06    1913.61     0.02
 48   2.9277  16769.77     0.06    2632.82    -0.10
 49   2.9277  16769.40     0.03    2632.73    -0.14
 50   2.9277  16768.97    -0.06    2632.77    -0.05
 51   2.9277  16768.68    -0.01    2632.76    -0.01
 52   2.9578  16351.69    -0.11    2591.79     0.07
 53   2.9578  16351.56     0.26    2591.73     0.05
 54   2.9578  16350.85     0.05    2591.64    -0.00
 55   3.0069  15380.66    -0.18    2550.70    -0.13
 56   3.0069  15380.07    -0.09    2550.86     0.05
 57   3.0069  15379.28    -0.20    2550.92     0.13
 58   3.0070  15378.82     0.03    2550.68    -0.10
 59   3.1051  12825.58     0.21    2590.42    -0.09
 60   3.1051  12824.62     0.05    2590.61     0.07
 61   3.1052  12823.87     0.10    2590.56    -0.01
 62   3.1052  12823.08     0.11    2590.53    -0.07
 63   3.1790  10959.09    -0.11    2731.34     0.05
 64   3.1791  10958.58     0.03    2731.35    -0.00
 65   3.1791  10957.86    -0.04    2731.54     0.12
 66   3.1791  10957.28     0.02    2731.65     0.16

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.

12HG84    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        42.769    42.780    42.759
ecceobj         0.086     0.086     0.086
incobj         10.899    10.899    10.899
qmin           38.459    38.287    38.511
qmax           47.986    48.199    47.950
amean          43.094    43.131    43.082
amin           42.750    42.759    42.744
amax           43.464    43.509    43.437
emean           0.089     0.092     0.089
emin            0.076     0.075     0.075
emax            0.105     0.109     0.104
imean          12.608    12.604    12.607
imin           11.942    11.901    11.944
imax           13.210    13.240    13.194
excite_mean     0.236     0.237     0.236
fracstop        1.000     1.000     1.000
cjmean          3.024     3.024     3.024

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       176.1     178.1     175.4
kozaiamp        180.0     180.0     179.9