Orbit Fit and Astrometric record for 04HX78

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: 04HX78    
# Created Sun Oct 21 01:08:19 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   26 observations of   26
# Arc:  10.10y
# First observation: 2004/04/24
#  Last observation: 2014/05/30
# Chi-squared of fit:    39.69 DOF:   46 RMS:  0.22
# Min/Max residuals:    -0.74    0.33
# Exact a, adot, b, bdot, g, gdot:
  1.692396E-05  3.422788E-02  5.072314E-06  9.964556E-03  3.066496E-02 -9.891447E-04
# Covariance matrix:
  1.5461E-13 -6.0037E-14  1.1087E-14 -1.5300E-14  8.4852E-14 -1.4311E-13
 -6.0037E-14  8.9265E-14 -1.7918E-14  2.5528E-14  3.0566E-14  2.3952E-13
  1.1087E-14 -1.7918E-14  8.5185E-14 -1.7197E-14 -4.7929E-15 -5.1246E-14
 -1.5300E-14  2.5528E-14 -1.7197E-14  1.3151E-14  7.9445E-15  7.2954E-14
  8.4852E-14  3.0566E-14 -4.7929E-15  7.9445E-15  2.4206E-13  7.5555E-14
 -1.4311E-13  2.3952E-13 -5.1246E-14  7.2954E-14  7.5555E-14  6.8444E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.986929 -127.224858    0.310615    0.016495   -0.954588  2453119.941913
# Heliocentric elements and errors
Epoch:              2453120.5000  =  2004/04/25
Mean Anomaly:          349.22843 +/-     0.008
Argument of Peri:       18.28684 +/-     0.011
Long of Asc Node:      228.94849 +/-     0.000
Inclination:            16.26293 +/-     0.000
Eccentricity:         0.15495006 +/-    0.0001
Semi-Major Axis:     39.54396956 +/-    0.0031
Time of Perihelion: 2455838.1619 +/-      10.6
Perihelion:          33.41662900 +/-    0.0033
Aphelion:            45.67131011 +/-    0.0041
Period (y)              248.6730 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -20.55291875 +/-    0.0003
Ecliptic Y          -26.53340998 +/-    0.0004
Ecliptic Z            0.56188569 +/-    0.0000
Ecliptic XDOT         0.00249303 +/-    0.0000
Ecliptic YDOT        -0.00177310 +/-    0.0000
Ecliptic ZDOT         0.00088814 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.56726703 +/-    0.0004
Geocenter to KBO     32.61055423 +/-    0.0005
# Hcoef:  8.11

The following table shows the complete astrometric record for 04HX78. 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 (04HX78) followed by the observatory code and reference code for the source of the astrometry.

2004 04  24.44117  15 22 32.62   -17 30 39.2   22.6g 04HX78    568  C~0Uqw      
2004 04  24.44259  15 22 32.59   -17 30 39.2   22.7g 04HX78    568  C~0Uqw      
2004 04  25.44688  15 22 27.05   -17 30 12.1   23.5g 04HX78    568  C~0Uqw      
2004 04  25.44830  15 22 27.05   -17 30 11.9   23.1g 04HX78    568  C~0Uqw      
2004 04  25.47385  15 22 26.89   -17 30 11.4   23.1g 04HX78    568  C~0Uqw      
2004 04  25.47527  15 22 26.90   -17 30 11.2   23.2g 04HX78    568  C~0Uqw      
2004 04  25.49645  15 22 26.76   -17 30 10.6   23.1g 04HX78    568  C~0Uqw      
2004 04  25.49784  15 22 26.78   -17 30 10.5   23.3g 04HX78    568  C~0Uqw      
2004 07  08.29430  15 16 17.46   -17 00 22.5   23.4i 04HX78    568  C~0Uqw      
2004 07  08.35606  15 16 17.28   -17 00 21.7   23.1i 04HX78    568  C~0Uqw      
2004 07  08.41734  15 16 17.11   -17 00 20.7   23.0i 04HX78    568  C~0Uqw      
2005 05  08.44136  15 29 49.41   -17 20 24.7   23.0r 04HX78    568  C~0Uqw      
2005 05  08.50503  15 29 49.03   -17 20 23.0   23.3r 04HX78    568  C~0Uqw      
2005 05  10.49780  15 29 37.37   -17 19 29.0   22.8r 04HX78    568  C~0Uqw      
2005 07  08.29741  15 24 45.85   -16 57 18.9   22.9r 04HX78    568  C~0Uqw      
2005 07  08.34779  15 24 45.70   -16 57 18.2   23.0r 04HX78    568  C~0Uqw      
2005 07  08.39956  15 24 45.55   -16 57 17.5   23.7r 04HX78    568  C~0Uqw      
2006 06  30.26641  15 33 44.56   -16 54 57.4   23.6r 04HX78    568  C~0Uqw      
2006 07  01.28822  15 33 40.59   -16 54 40.6   23.1r 04HX78    568  C~0Uqw      
2006 07  01.30127  15 33 40.54   -16 54 40.4   23.3r 04HX78    568  C~0Uqw      
2007 04  20.367631 15 48 43.38   -17 16 12.1         04HX78    645  C~1ReF      
2007 04  20.368460 15 48 43.38   -17 16 12.1         04HX78    645  C~1ReF      
2007 04  20.370948 15 48 43.37   -17 16 12.1         04HX78    645  C~1ReF      
2014 05  30.25809  16 44 52.34   -15 37 04.6   23.3R 04HX78    695  C~1LJL      
2014 05  30.38890  16 44 51.52   -15 37 02.5         04HX78    695  C~1LJL      
2014 05  30.42589  16 44 51.30   -15 37 01.8         04HX78    695  C~1LJL      

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     0.16       0.00    -0.02
  2   0.0000      0.00    -0.18       0.00    -0.06
  3   0.0028      0.00    -0.17       0.00    -0.09
  4   0.0028      0.00    -0.04       0.00     0.07
  5   0.0028      0.00    -0.28       0.00    -0.12
  6   0.0028      0.00    -0.01       0.00     0.04
  7   0.0029      0.00    -0.32       0.00     0.07
  8   0.0029      0.00     0.10       0.00     0.13
  9   0.2049      0.00     0.18       0.00     0.24
 10   0.2051      0.00     0.08       0.00     0.13
 11   0.2053      0.00     0.08       0.00     0.22
 12   1.0376      0.00     0.03       0.00     0.14
 13   1.0378      0.00     0.02       0.00     0.11
 14   1.0433      0.00     0.33       0.00     0.03
 15   1.2043      0.00     0.01       0.00     0.22
 16   1.2044      0.00     0.07       0.00     0.21
 17   1.2045      0.00     0.18       0.00     0.16
 18   2.1816      0.00    -0.09       0.00     0.07
 19   2.1844      0.00    -0.09       0.00     0.07
 20   2.1844      0.00    -0.07       0.00     0.06
 21   2.9868      0.00    -0.06       0.00    -0.66
 22   2.9868      0.00    -0.00       0.00    -0.68
 23   2.9868      0.00     0.04       0.00    -0.74
 24  10.0967      0.00     0.18       0.00     0.26
 25  10.0971      0.00    -0.15       0.00     0.08
 26  10.0972      0.00    -0.07       0.00     0.13

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.

04HX78    quality flag:3

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

axisobj        39.186    39.186    39.186
ecceobj         0.148     0.148     0.148
incobj         16.319    16.319    16.319
qmin           32.267    32.266    32.267
qmax           46.959    46.960    46.958
amean          39.456    39.456    39.456
amin           39.147    39.147    39.147
amax           39.825    39.825    39.825
emean           0.149     0.149     0.149
emin            0.120     0.120     0.120
emax            0.181     0.181     0.181
imean          17.425    17.424    17.425
imin           16.293    16.292    16.293
imax           18.479    18.480    18.479
excite_mean     0.335     0.335     0.335
fracstop        1.000     1.000     1.000
cjmean          2.922     2.922     2.922

libcent 0       180.7     180.6     180.7
libamp  0        27.3      27.3      27.3
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       181.6     181.7     181.6
kozaiamp        180.0     180.0     180.0