Orbit Fit and Astrometric record for 04HZ78

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: 04HZ78    
# Created Tue Dec 12 02:37:24 2017
# Orbit generated from Bernstein formalism
# Fitting   21 observations of   21
# Arc:  11.88y
# First observation: 2004/04/26
#  Last observation: 2016/03/13
Preliminary a, adot, b, bdot, g, gdot:
  -0.001452   0.034871   0.000925  -0.008327   0.035649   0.000000
# Chi-squared of fit:    38.50 DOF:   36 RMS:  0.24
# Min/Max residuals:    -0.83    0.46
# Exact a, adot, b, bdot, g, gdot:
  1.586223E-05  3.232697E-02 -4.183978E-06 -7.647277E-03  2.957547E-02 -3.239608E-03
# Covariance matrix:
  2.3260E-13 -7.4554E-14 -1.1867E-14  1.0380E-14  1.5846E-13 -1.0465E-13
 -7.4554E-14  7.7018E-14  1.9529E-14 -1.7397E-14  7.4240E-14  1.7145E-13
 -1.1867E-14  1.9529E-14  1.1580E-13 -2.0193E-14  3.3364E-14  4.9075E-14
  1.0380E-14 -1.7397E-14 -2.0193E-14  9.9853E-15 -3.0300E-14 -4.3817E-14
  1.5846E-13  7.4240E-14  3.3364E-14 -3.0300E-14  7.3962E-13  2.9152E-13
 -1.0465E-13  1.7145E-13  4.9075E-14 -4.3817E-14  2.9152E-13  4.3060E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.375539 -156.150105   -0.221567    0.006484   -0.979825  2453121.828513
# Heliocentric elements and errors
Epoch:              2453120.5000  =  2004/04/25
Mean Anomaly:          329.97879 +/-     0.015
Argument of Peri:      218.91605 +/-     0.019
Long of Asc Node:       25.75472 +/-     0.000
Inclination:            13.28617 +/-     0.000
Eccentricity:         0.15364634 +/-    0.0001
Semi-Major Axis:     39.79958763 +/-    0.0054
Time of Perihelion: 2460768.3959 +/-       3.4
Perihelion:          33.68452674 +/-    0.0056
Aphelion:            45.91464853 +/-    0.0070
Period (y)              251.0881 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -31.73409864 +/-    0.0009
Ecliptic Y          -14.26850388 +/-    0.0004
Ecliptic Z            0.22148875 +/-    0.0000
Ecliptic XDOT         0.00147706 +/-    0.0000
Ecliptic YDOT        -0.00262457 +/-    0.0000
Ecliptic ZDOT        -0.00070974 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   34.79500362 +/-    0.0008
Geocenter to KBO     33.81180633 +/-    0.0010
# Hcoef:  7.58

The following table shows the complete astrometric record for 04HZ78. 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 (04HZ78) followed by the observatory code and reference code for the source of the astrometry.

2004 04  26.32777  13 28 52.37   -08 54 23.1   22.8g 04HZ78    568  C~0Uqw      
2004 04  26.34900  13 28 52.25   -08 54 22.6   22.6g 04HZ78    568  C~0Uqw      
2004 04  26.37536  13 28 52.10   -08 54 21.8   22.7g 04HZ78    568  C~0Uqw      
2004 04  27.32206  13 28 47.03   -08 53 56.6   22.8g 04HZ78    568  C~0Uqw      
2004 06  20.26453  13 25 22.41   -08 38 21.2   22.4i 04HZ78    568  C~0Uqw      
2004 06  20.31329  13 25 22.32   -08 38 21.0   22.7i 04HZ78    568  C~0Uqw      
2004 06  20.36533  13 25 22.24   -08 38 20.6   22.9i 04HZ78    568  C~0Uqw      
2006 05  01.38069  13 41 17.19   -11 03 12.2   22.7r 04HZ78    568  C~0Uqw      
2006 05  01.38265  13 41 17.18   -11 03 12.4   22.5r 04HZ78    568  C~0Uqw      
2006 05  01.41109  13 41 17.02   -11 03 11.4   22.5r 04HZ78    568  C~0Uqw      
2006 05  01.41297  13 41 17.02   -11 03 11.5   22.7r 04HZ78    568  C~0Uqw      
2006 05  01.44239  13 41 16.84   -11 03 10.5         04HZ78    568  C~0Uqw      
2006 05  01.44432  13 41 16.87   -11 03 10.5         04HZ78    568  C~0Uqw      
2006 05  02.31707  13 41 12.16   -11 02 48.0         04HZ78    568  C~0Uqw      
2006 06  29.28370  13 37 43.95   -10 46 51.8   22.7r 04HZ78    568  C~0Uqw      
2006 06  29.29672  13 37 43.95   -10 46 51.6   23.0r 04HZ78    568  C~0Uqw      
2006 06  30.26416  13 37 42.96   -10 46 49.4   22.9r 04HZ78    568  C~0Uqw      
2008 06  08.98378  13 51 23.41   -12 59 02.1         04HZ78    807  C~0Uqw      
2008 06  09.10509  13 51 22.98   -12 58 59.6         04HZ78    807  C~0Uqw      
2016 03  13.40962  14 55 03.70   -21 44 12.5   22.4R 04HZ78    G37  C~1pPj      
2016 03  13.50022  14 55 03.42   -21 44 12.3         04HZ78    G37  C~1pPj      

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     0.29       0.00     0.02
  2   0.0001     -1.84     0.26      -0.19    -0.06
  3   0.0001     -4.20     0.15      -0.26    -0.00
  4   0.0027    -83.33     0.11      -4.51    -0.05
  5   0.1504  -3248.01    -0.16    -255.72    -0.17
  6   0.1505  -3249.33    -0.28    -256.03    -0.23
  7   0.1507  -3250.58    -0.26    -256.09    -0.03
  8   2.0125  13079.79    -0.25   -3197.89     0.27
  9   2.0125  13079.73    -0.14   -3198.13     0.04
 10   2.0125  13077.16    -0.28   -3198.04     0.26
 11   2.0126  13077.20    -0.08   -3198.14     0.17
 12   2.0126  13074.35    -0.41   -3198.15     0.29
 13   2.0126  13074.77     0.17   -3197.99     0.46
 14   2.0150  13001.67     0.15   -3201.90     0.08
 15   2.1737   9786.43     0.17   -3415.65    -0.16
 16   2.1738   9786.36     0.32   -3415.46     0.08
 17   2.1764   9771.93     0.18   -3418.70     0.06
 18   4.1195  23958.35     0.21   -6562.22    -0.83
 19   4.1199  23951.50    -0.17   -6562.07    -0.34
 20  11.8798  91177.79    -0.05  -20419.24    -0.01
 21  11.8800  91173.24     0.06  -20420.11     0.15

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.

04HZ78    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.348    39.363    39.332
ecceobj         0.147     0.147     0.147
incobj         13.347    13.346    13.347
qmin           32.852    32.790    32.828
qmax           46.768    46.798    46.779
amean          39.457    39.457    39.457
amin           38.969    38.952    38.978
amax           39.977    40.029    39.991
emean           0.150     0.150     0.152
emin            0.132     0.129     0.133
emax            0.170     0.170     0.170
imean          12.730    12.634    12.740
imin           12.054    11.895    12.146
imax           13.401    13.522    13.279
excite_mean     0.267     0.265     0.268
fracstop        1.000     1.000     1.000
cjmean          2.970     2.972     2.970

libcent 0       179.7     181.1     180.3
libamp  0       116.2     119.5     108.6
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       177.1     174.9     179.8
kozaiamp        180.0     180.0     180.0