Orbit Fit and Astrometric record for 04HY78

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: 04HY78    
# Created Thu Oct 18 01:08:23 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   16 observations of   16
# Arc:  11.88y
# First observation: 2004/04/26
#  Last observation: 2016/03/13
# Chi-squared of fit:    34.41 DOF:   26 RMS:  0.26
# Min/Max residuals:    -0.55    0.64
# Exact a, adot, b, bdot, g, gdot:
  1.921078E-05  3.849372E-02 -4.085918E-06 -8.591660E-03  3.245254E-02 -1.982181E-03
# Covariance matrix:
  4.4843E-13 -2.1216E-13 -5.5371E-14  3.8207E-14  1.8945E-14 -3.3038E-13
 -2.1216E-13  1.3636E-13  3.8787E-14 -2.6830E-14  2.0357E-14  2.3169E-13
 -5.5371E-14  3.8787E-14  1.9080E-13 -3.8836E-14  1.4517E-14  7.2867E-14
  3.8207E-14 -2.6830E-14 -3.8836E-14  1.7087E-14 -1.0831E-14 -5.0504E-14
  1.8945E-14  2.0357E-14  1.4517E-14 -1.0831E-14  4.1160E-13  8.9782E-14
 -3.3038E-13  2.3169E-13  7.2867E-14 -5.0504E-14  8.9782E-14  4.3564E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.302840 -156.542691   -0.228227    0.005233   -0.978301  2453121.825683
# Heliocentric elements and errors
Epoch:              2453122.5000  =  2004/04/27
Mean Anomaly:          350.60407 +/-     0.005
Argument of Peri:      192.99843 +/-     0.007
Long of Asc Node:       25.17971 +/-     0.000
Inclination:            12.56288 +/-     0.000
Eccentricity:         0.20025558 +/-    0.0001
Semi-Major Axis:     39.55087114 +/-    0.0043
Time of Perihelion: 2455493.7099 +/-      14.3
Perihelion:          31.63058870 +/-    0.0044
Aphelion:            47.47115359 +/-    0.0058
Period (y)              248.7381 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -29.07747579 +/-    0.0006
Ecliptic Y          -12.86319356 +/-    0.0002
Ecliptic Z            0.16275935 +/-    0.0000
Ecliptic XDOT         0.00143962 +/-    0.0000
Ecliptic YDOT        -0.00292102 +/-    0.0000
Ecliptic ZDOT        -0.00072558 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.79605949 +/-    0.0005
Geocenter to KBO     30.81429126 +/-    0.0006
# Hcoef:  8.47

The following table shows the complete astrometric record for 04HY78. 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 (04HY78) followed by the observatory code and reference code for the source of the astrometry.

2004 04  26.32494  13 27 17.22   -08 49 45.2   23.4g 04HY78    568  C~0Uqw      
2004 04  26.34619  13 27 17.11   -08 49 44.4   23.8g 04HY78    568  C~0Uqw      
2004 04  26.37253  13 27 16.95   -08 49 44.1   23.6g 04HY78    568  C~0Uqw      
2006 05  01.38265  13 42 09.69   -11 19 41.1   23.3r 04HY78    568  C~0Uqw      
2006 05  01.41297  13 42 09.51   -11 19 40.1   23.1r 04HY78    568  C~0Uqw      
2006 05  01.44432  13 42 09.33   -11 19 39.3   23.0r 04HY78    568  C~0Uqw      
2006 05  02.31899  13 42 04.23   -11 19 14.5         04HY78    568  C~0Uqw      
2006 06  29.28370  13 38 21.43   -11 02 11.6   23.4r 04HY78    568  C~0Uqw      
2006 06  29.29672  13 38 21.42   -11 02 11.8   23.0r 04HY78    568  C~0Uqw      
2006 06  30.26416  13 38 20.42   -11 02 09.5   23.6r 04HY78    568  C~0Uqw      
2007 02  21.45343  13 55 44.51   -12 59 39.4         04HY78    675  C~0Uqw      
2007 02  21.50103  13 55 44.40   -12 59 39.1   23.1R 04HY78    675  C~0Uqw      
2007 05  16.21706  13 48 34.16   -12 28 27.4         04HY78    675  C~0Uqw      
2007 05  16.25885  13 48 33.94   -12 28 26.3         04HY78    675  C~0Uqw      
2016 03  13.41598  15 08 29.91   -23 11 14.0   23.9R 04HY78    G37  C~1pPj      
2016 03  13.50648  15 08 29.56   -23 11 15.2         04HY78    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    -0.03       0.00    -0.01
  2   0.0001      0.00     0.19       0.00     0.19
  3   0.0001      0.00     0.12       0.00    -0.27
  4   2.0125      0.00     0.16       0.00    -0.06
  5   2.0126      0.00     0.16       0.00     0.08
  6   2.0126      0.00     0.26       0.00     0.00
  7   2.0150      0.00    -0.12       0.00     0.30
  8   2.1737      0.00    -0.06       0.00     0.26
  9   2.1738      0.00     0.03       0.00     0.02
 10   2.1764      0.00    -0.09       0.00     0.17
 11   2.8231      0.00    -0.16       0.00    -0.01
 12   2.8232      0.00     0.03       0.00    -0.02
 13   3.0524      0.00    -0.03       0.00    -0.46
 14   3.0525      0.00     0.07       0.00    -0.42
 15  11.8798      0.00     0.64       0.00     0.52
 16  11.8800      0.00    -0.55       0.00    -0.43

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.

04HY78    quality flag:3

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

axisobj        39.059    39.059    39.059
ecceobj         0.191     0.191     0.191
incobj         12.616    12.616    12.616
qmin           30.797    30.798    30.797
qmax           48.562    48.565    48.558
amean          39.455    39.455    39.455
amin           39.021    39.021    39.021
amax           39.928    39.931    39.924
emean           0.192     0.192     0.192
emin            0.165     0.165     0.165
emax            0.217     0.217     0.217
imean          12.681    12.679    12.683
imin           11.853    11.853    11.853
imax           13.615    13.615    13.615
excite_mean     0.292     0.292     0.292
fracstop        1.000     1.000     1.000
cjmean          2.955     2.955     2.955

libcent 0       180.5     180.0     180.8
libamp  0        78.2      78.4      78.3
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       177.6     177.8     177.3
kozaiamp        179.9     179.9     180.0