Orbit Fit and Astrometric record for 12HH2

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: 12HH2     
# Created Fri Aug 29 01:38:48 2014
# Orbit generated from Bernstein formalism
# Fitting   58 observations of   58
# Arc:  11.21y
# First observation: 2002/04/09
#  Last observation: 2013/06/26
Preliminary a, adot, b, bdot, g, gdot:
   0.000571   0.045354  -0.000075  -0.007712   0.045907   0.000000
# Chi-squared of fit:   183.10 DOF:  110 RMS:  0.31
# Min/Max residuals:    -1.14    0.73
# Exact a, adot, b, bdot, g, gdot:
  1.901417E-05  4.338950E-02 -6.303130E-06 -7.673458E-03  3.514477E-02  1.715039E-04
# Covariance matrix:
  1.8376E-13 -3.1906E-14 -7.7906E-16  2.8552E-15 -8.8214E-16 -3.0935E-14
 -3.1906E-14  1.0039E-13  5.0736E-15 -1.8720E-14  3.5264E-14  2.0836E-13
 -7.7906E-16  5.0736E-15  1.8187E-13 -1.8530E-14 -6.7125E-16  1.0996E-14
  2.8552E-15 -1.8720E-14 -1.8530E-14  5.6956E-15  1.1702E-15 -4.0435E-14
 -8.8214E-16  3.5264E-14 -6.7125E-16  1.1702E-15  3.0297E-13  4.4314E-14
 -3.0935E-14  2.0836E-13  1.0996E-14 -4.0435E-14  4.4314E-14  4.4409E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   27.496974  167.793572   -0.525558    0.394916   -0.758887  2452373.635973
# Heliocentric elements and errors
Epoch:              2452370.5000  =  2002/04/06
Mean Anomaly:            7.25489 +/-     0.004
Argument of Peri:       99.71924 +/-     0.006
Long of Asc Node:       56.35986 +/-     0.000
Inclination:            28.59441 +/-     0.000
Eccentricity:         0.16797928 +/-    0.0001
Semi-Major Axis:     35.03774432 +/-    0.0028
Time of Perihelion: 2450843.8804 +/-       0.9
Perihelion:          29.15212936 +/-    0.0030
Aphelion:            40.92335928 +/-    0.0037
Period (y)              207.4017 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -25.61561753 +/-    0.0004
Ecliptic Y            5.00869527 +/-    0.0001
Ecliptic Z           13.13699598 +/-    0.0002
Ecliptic XDOT        -0.00100438 +/-    0.0000
Ecliptic YDOT        -0.00324425 +/-    0.0000
Ecliptic ZDOT        -0.00052386 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   29.22032774 +/-    0.0004
Geocenter to KBO     28.45373536 +/-    0.0004
# Hcoef:  6.20

The following table shows the complete astrometric record for 12HH2. 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 (12HH2) followed by the observatory code and reference code for the source of the astrometry.

2002 04  09.13523  12 03 03.67   +29 52 53.0   20.0R 12HH2     644  C~0hKT      
2002 04  09.15716  12 03 03.48   +29 52 52.9   20.3R 12HH2     644  C~0hKT      
2002 04  09.17917  12 03 03.28   +29 52 53.4   20.3R 12HH2     644  C~0hKT      
2002 04  10.15035  12 02 56.71   +29 52 59.4   20.7R 12HH2     644  C~0hKT      
2002 04  10.17213  12 02 56.61   +29 52 59.5   20.0R 12HH2     644  C~0hKT      
2002 04  10.19352  12 02 56.47   +29 53 00.0   20.1R 12HH2     644  C~0hKT      
2002 04  20.16294  12 01 51.62   +29 52 54.5   20.5R 12HH2     644  C~0hKT      
2002 04  21.17487  12 01 45.57   +29 52 46.6   20.3R 12HH2     644  C~0hKT      
2012 04  19.224030 13 23 17.40   +13 38 41.8   20.9V 12HH2     H21  C~0g85      
2012 04  19.235770 13 23 17.33   +13 38 42.5   21.0V 12HH2     H21  C~0g85      
2012 04  19.247876 13 23 17.24   +13 38 42.8   21.1V 12HH2     H21  C~0g85      
2012 04  19.264513 13 23 17.14   +13 38 42.9   21.2V 12HH2     H21  C~0g85      
2012 04  20.23750  13 23 10.78   +13 39 02.4   20.8V 12HH2     G96  C~0g85      
2012 04  20.24440  13 23 10.71   +13 39 02.3   20.9V 12HH2     G96  C~0g85      
2012 04  20.25130  13 23 10.67   +13 39 02.8   21.3V 12HH2     G96  C~0g85      
2012 04  20.25829  13 23 10.64   +13 39 02.7   21.0V 12HH2     G96  C~0g85      
2012 04  21.20396  13 23 04.49   +13 39 20.9   21.0R 12HH2     H01  C~0g85      
2012 04  21.22243  13 23 04.37   +13 39 21.3   20.7R 12HH2     H01  C~0g85      
2012 04  21.24154  13 23 04.24   +13 39 21.6   20.5R 12HH2     H01  C~0g85      
2012 04  21.25897  13 23 04.12   +13 39 21.9   20.9R 12HH2     H01  C~0g85      
2012 04  23.213199 13 22 51.48   +13 39 55.7   21.0V 12HH2     H21  C~0g85      
2012 04  23.226086 13 22 51.36   +13 39 56.2   20.9V 12HH2     H21  C~0g85      
2012 04  23.238719 13 22 51.28   +13 39 56.4   21.1V 12HH2     H21  C~0g85      
2012 04  23.251098 13 22 51.18   +13 39 56.6   21.0V 12HH2     H21  C~0g85      
2012 05  01.28948  13 22 00.38   +13 41 38.8   20.5R 12HH2     H01  C~0gNg      
2012 05  01.31347  13 22 00.22   +13 41 38.8   20.4R 12HH2     H01  C~0gNg      
2012 05  01.33065  13 22 00.12   +13 41 39.0   20.7R 12HH2     H01  C~0gNg      
2012 05  01.35468  13 21 59.96   +13 41 39.3   20.5R 12HH2     H01  C~0gNg      
2012 05  09.93629  13 21 09.03   +13 42 17.4         12HH2     204  C~0gbg      
2012 05  09.96841  13 21 08.89   +13 42 17.6   20.6R 12HH2     204  C~0gbg      
2012 05  10.262106 13 21 07.206  +13 42 17.38  20.3R 12HH2     695  C~0gbg      
2012 05  10.278036 13 21 07.089  +13 42 18.13  20.5R 12HH2     695  C~0gbg      
2012 05  11.274236 13 21 01.503  +13 42 17.00  20.4R 12HH2     695  C~0gbg      
2012 05  11.290031 13 21 01.432  +13 42 17.04  20.2R 12HH2     695  C~0gbg      
2012 05  11.320002 13 21 01.258  +13 42 16.94  21.3R 12HH2     695  C~0gbg      
2012 05  15.42838  13 20 38.81   +13 42 02.6         12HH2     F65  C~0gfW      
2012 05  15.43250  13 20 38.82   +13 42 02.7   20.1R 12HH2     F65  C~0gfW      
2012 06  09.180359 13 18 54.756  +13 34 29.52  20.5R 12HH2     695  C~0hKT      
2012 06  09.188935 13 18 54.719  +13 34 29.21  21.0R 12HH2     695  C~0hKT      
2012 06  09.201750 13 18 54.686  +13 34 28.84  21.0R 12HH2     695  C~0hKT      
2012 06  09.215110 13 18 54.644  +13 34 28.35  21.1R 12HH2     695  C~0hKT      
2012 06  10.180747 13 18 51.851  +13 33 58.65  21.0R 12HH2     695  C~0hKT      
2012 06  10.193979 13 18 51.794  +13 33 58.01  21.1R 12HH2     695  C~0hKT      
2012 06  10.208757 13 18 51.788  +13 33 57.53  20.7R 12HH2     695  C~0hKT      
2012 06  10.220411 13 18 51.714  +13 33 57.31  21.7R 12HH2     695  C~0hKT      
2013 05  01.228749 13 29 08.068  +12 00 39.34  20.8R 12HH2     695  C~0rUK      
2013 05  01.268233 13 29 07.835  +12 00 39.94  20.9R 12HH2     695  C~0rUK      
2013 05  01.306358 13 29 07.579  +12 00 41.00  20.8R 12HH2     695  C~0rUK      
2013 05  02.224252 13 29 01.907  +12 00 50.16  21.1R 12HH2     695  C~0rUK      
2013 05  02.264693 13 29 01.628  +12 00 50.59  20.8R 12HH2     695  C~0rUK      
2013 05  02.306809 13 29 01.365  +12 00 51.09  21.1R 12HH2     695  C~0rUK      
2013 06  25.168174 13 25 19.914  +11 46 18.18  20.6R 12HH2     695  C~0swU      
2013 06  25.190363 13 25 19.875  +11 46 17.49  20.8R 12HH2     695  C~0swU      
2013 06  25.210990 13 25 19.826  +11 46 16.12  20.7R 12HH2     695  C~0swU      
2013 06  25.223642 13 25 19.809  +11 46 15.55  20.6R 12HH2     695  C~0swU      
2013 06  26.165199 13 25 18.605  +11 45 36.69  21.1R 12HH2     695  C~0swU      
2013 06  26.177948 13 25 18.582  +11 45 36.03  21.1R 12HH2     695  C~0swU      
2013 06  26.190660 13 25 18.587  +11 45 35.05  21.3R 12HH2     695  C~0swU      

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     0.59
  2   0.0001     -2.16    -0.21      -1.20     0.12
  3   0.0001     -4.71    -0.91      -1.92     0.14
  4   0.0028    -83.78    -0.01     -34.86     0.05
  5   0.0028    -84.99     0.59     -35.35     0.30
  6   0.0029    -86.84     0.52     -35.72     0.67
  7   0.0302   -838.81    -0.79    -417.75    -1.14
  8   0.0330   -905.72     0.73    -459.91    -0.64
  9  10.0290  93056.50     0.25  -16844.04    -0.60
 10  10.0290  93055.00     0.05  -16844.02    -0.10
 11  10.0291  93053.50    -0.13  -16844.53    -0.13
 12  10.0291  93051.99     0.19  -16845.32    -0.25
 13  10.0318  92946.97    -0.03  -16883.36    -0.10
 14  10.0318  92946.03    -0.22  -16884.07    -0.53
 15  10.0318  92945.11    -0.39  -16883.96    -0.14
 16  10.0318  92944.74     0.01  -16884.31    -0.21
 17  10.0344  92843.68    -0.04  -16921.67     0.22
 18  10.0345  92841.67    -0.05  -16922.36     0.29
 19  10.0345  92839.60    -0.06  -16923.23     0.21
 20  10.0346  92837.66    -0.11  -16924.01     0.15
 21  10.0399  92632.54     0.69  -17004.05     0.11
 22  10.0399  92630.47    -0.01  -17004.64     0.06
 23  10.0400  92629.18     0.03  -17005.16     0.08
 24  10.0400  92627.61    -0.23  -17005.86    -0.09
 25  10.0620  91827.73     0.19  -17357.57     0.05
 26  10.0621  91825.43     0.19  -17358.97    -0.22
 27  10.0621  91823.86     0.26  -17359.66    -0.11
 28  10.0622  91821.36     0.06  -17360.79    -0.11
 29  10.0857  91065.49    -0.29  -17771.16    -0.39
 30  10.0858  91063.35     0.22  -17772.20     0.19
 31  10.0866  91039.40     0.10  -17787.11    -0.24
 32  10.0866  91037.21    -0.77  -17787.44     0.24
 33  10.0894  90958.05    -0.18  -17837.24     0.08
 34  10.0894  90957.00     0.05  -17837.82     0.31
 35  10.0895  90954.58     0.04  -17839.43     0.22
 36  10.1007  90643.31    -0.41  -18048.43    -0.47
 37  10.1007  90643.38    -0.03  -18048.25    -0.07
 38  10.1685  89466.09     0.12  -19370.54     0.04
 39  10.1685  89465.77     0.00  -19371.14    -0.10
 40  10.1686  89465.55     0.08  -19371.77    -0.02
 41  10.1686  89465.28     0.11  -19372.59    -0.10
 42  10.1712  89445.63    -0.02  -19424.22     0.38
 43  10.1713  89445.25    -0.13  -19425.30     0.03
 44  10.1713  89445.49     0.42  -19425.80     0.34
 45  10.1713  89444.58    -0.25  -19426.64     0.14
 46  11.0612 102376.07     0.29  -19192.64    -0.11
 47  11.0613 102372.15     0.42  -19194.19     0.19
 48  11.0614 102367.56    -0.26  -19195.51     0.65
 49  11.0639 102276.31     0.31  -19238.24     0.04
 50  11.0640 102271.83    -0.07  -19240.36    -0.17
 51  11.0641 102267.55    -0.10  -19242.27    -0.09
 52  11.2116  99605.00     0.16  -22052.97     0.15
 53  11.2117  99604.92    -0.11  -22053.97     0.31
 54  11.2117  99605.17    -0.03  -22055.70    -0.34
 55  11.2117  99605.33     0.02  -22056.39    -0.37
 56  11.2143  99615.34    -0.34  -22103.80     0.35
 57  11.2144  99615.47    -0.34  -22104.63     0.18
 58  11.2144  99616.25     0.30  -22105.51    -0.03

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.