Orbit Fit and Astrometric record for 04HM79

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: 04HM79    
# Created Thu Dec 14 02:37:21 2017
# Orbit generated from Bernstein formalism
# Fitting   18 observations of   21
# Arc:  11.07y
# First observation: 2004/04/26
#  Last observation: 2015/05/22
Preliminary a, adot, b, bdot, g, gdot:
  -0.000534   0.027062  -0.000012   0.000545   0.026327   0.000000
# Chi-squared of fit:    12.26 DOF:   30 RMS:  0.15
# Min/Max residuals:    -0.51    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.570190E-05  2.691997E-02  1.423025E-07  5.415964E-04  2.702762E-02  1.697195E-03
# Covariance matrix:
  3.2701E-13 -1.8614E-13  3.4998E-15 -3.2790E-15  4.4807E-14 -5.5471E-13
 -1.8614E-13  1.6768E-13 -3.4190E-15  3.2044E-15 -4.2257E-14  5.4206E-13
  3.4998E-15 -3.4190E-15  1.5692E-13 -1.9973E-14  9.4272E-16 -1.1407E-14
 -3.2790E-15  3.2044E-15 -1.9973E-14  5.3314E-15 -6.7054E-16  1.0706E-14
  4.4807E-14 -4.2257E-14  9.4272E-16 -6.7054E-16  3.2242E-13 -1.1891E-13
 -5.5471E-13  5.4206E-13 -1.1407E-14  1.0706E-14 -1.1891E-13  1.8107E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.218463 -153.920366   -0.183373    0.003827   -0.987702  2453121.834183
# Heliocentric elements and errors
Epoch:              2453120.5000  =  2004/04/25
Mean Anomaly:          114.29389 +/-     0.066
Argument of Peri:      248.25940 +/-     0.057
Long of Asc Node:      195.89136 +/-     0.002
Inclination:             1.17193 +/-     0.000
Eccentricity:         0.07900253 +/-    0.0000
Semi-Major Axis:     36.61896592 +/-    0.0033
Time of Perihelion: 2427423.7581 +/-      14.5
Perihelion:          33.72597490 +/-    0.0033
Aphelion:            39.51195695 +/-    0.0038
Period (y)              221.5988 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -34.04195747 +/-    0.0007
Ecliptic Y          -16.86284132 +/-    0.0003
Ecliptic Z            0.14109541 +/-    0.0000
Ecliptic XDOT         0.00104160 +/-    0.0000
Ecliptic YDOT        -0.00253172 +/-    0.0000
Ecliptic ZDOT         0.00005565 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.98986962 +/-    0.0006
Geocenter to KBO     36.99919033 +/-    0.0008
# Hcoef:  7.79

The following table shows the complete astrometric record for 04HM79. 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 (04HM79) followed by the observatory code and reference code for the source of the astrometry.

2004 04  26.33344  13 37 03.28   -09 52 03.2   23.2g 04HM79    568  C~0W4b      
2004 04  26.35459  13 37 03.17   -09 52 02.7   23.3g 04HM79    568  C~0W4b      
2004 04  26.38103  13 37 03.04   -09 52 01.9   23.1g 04HM79    568  C~0W4b      
2004 04  27.32861  13 36 58.35   -09 51 34.5   23.7g 04HM79    568  C~0W4b      
2005 05  04.42403  13 42 18.38   -10 20 02.4         04HM79    568  C~0W4b      
2005 05  05.39356  13 42 13.77   -10 19 35.3         04HM79    568  C~0W4b      
2006 05  01.39587  13 48 27.85   -10 52 42.9   23.7r 04HM79    568  C~0W4b      
2006 05  01.42624  13 48 27.69   -10 52 41.7   23.5r 04HM79    568  C~0W4b      
2006 05  01.45796  13 48 27.53   -10 52 40.9   22.9r 04HM79    568  C~0W4b      
2006 05  02.33204  13 48 23.24   -10 52 16.3         04HM79    568  C~0W4b      
2006 06  29.28183  13 45 07.26   -10 33 57.6   23.6r 04HM79    568  C~0W4b      
2006 06  29.29485  13 45 07.25   -10 33 57.8   23.7r 04HM79    568  C~0W4b      
2006 06  30.26232  13 45 06.21   -10 33 51.4   23.4r 04HM79    568  C~0W4b      
2007 02  21.45791  13 59 11.12   -11 50 14.3   23.7R 04HM79    675  C~0W4b      
2007 02  21.50538  13 59 11.02   -11 50 13.7   23.8R 04HM79    675  C~0W4b      
2013 03  13.42524  14 33 17.70   -14 32 43.4   23.1R 04HM79    695  C~0ud8      
2013 03  13.50256  14 33 17.46   -14 32 42.5         04HM79    695  C~0ud8      
2013 03  14.49629  14 33 14.33   -14 32 26.5         04HM79    695  C~0ud8      
2015 05  22.18346  14 39 44.49   -14 59 00.7   23.9R 04HM79    695  C~1hTc      
2015 05  22.22110  14 39 44.33   -14 59 00.0         04HM79    695  C~1hTc      
2015 05  22.27178  14 39 44.04   -14 58 58.9         04HM79    695  C~1hTc      

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     0.01       0.00     0.04
  2   0.0001     -1.70     0.00      -0.12    -0.08
  3   0.0001     -3.78     0.04      -0.07    -0.02
  4   0.0027    -78.31    -0.06       0.32     0.12
  5   1.0215   4946.61    -0.23     112.72    -0.51
  6   1.0241   4873.34     0.14     113.60     0.18
  7   2.0125  10743.69     0.13     223.83    -0.11
  8   2.0126  10741.05    -0.09     224.12     0.19
  9   2.0127  10738.56    -0.07     224.04     0.11
 10   2.0151  10670.56 (  -0.01)    224.65 (   0.49)
 11   2.1737   7574.15    -0.12     224.41     0.23
 12   2.1737   7574.08     0.07     224.17     0.00
 13   2.1764   7557.45 (   0.27)    224.68 (   0.62)
 14   2.8231  20874.40     0.15     302.61    -0.08
 15   2.8232  20872.80     0.16     302.67    -0.03
 16   8.8791  53376.66    -0.23     989.36     0.12
 17   8.8793  53372.83    -0.02     989.11    -0.16
 18   8.8820  53321.43    -0.09     990.05     0.01
 19  11.0687  59637.04     0.18    1243.42     0.12
 20  11.0688  59634.41 (   0.61)   1243.37 (   0.10)
 21  11.0690  59629.71     0.04    1243.12    -0.12

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.

04HM79    quality flag:3

Type:           4:3E      4:3E      4:3E

axisobj        36.260    36.269    36.250
ecceobj         0.083     0.083     0.083
incobj          1.177     1.177     1.177
qmin           32.984    33.074    33.022
qmax           40.272    40.258    40.287
amean          36.483    36.483    36.483
amin           36.143    36.145    36.151
amax           36.838    36.835    36.847
emean           0.074     0.073     0.074
emin            0.054     0.051     0.055
emax            0.094     0.094     0.095
imean           2.617     2.590     2.631
imin            0.381     0.358     0.388
imax            3.680     3.611     3.718
excite_mean     0.088     0.087     0.089
fracstop        1.000     1.000     1.000
cjmean          3.019     3.019     3.019

libcent 0       177.0     179.8     180.6
libamp  0        67.0      67.7      65.7
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       180.5     179.5     179.6
kozaiamp        180.0     180.0     180.0