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 Wed Oct 18 01:37:30 2017
# Orbit generated from Bernstein formalism
# Fitting   15 observations of   16
# Arc:  11.88y
# First observation: 2004/04/26
#  Last observation: 2016/03/13
Preliminary a, adot, b, bdot, g, gdot:
  -0.006354   0.042086   0.001404  -0.009369   0.033439   0.000000
# Chi-squared of fit:    12.81 DOF:   24 RMS:  0.16
# Min/Max residuals:    -0.37    0.25
# Exact a, adot, b, bdot, g, gdot:
  1.928305E-05  3.849361E-02 -3.555927E-06 -8.591959E-03  3.245257E-02 -1.981783E-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:              2453120.5000  =  2004/04/25
Mean Anomaly:          350.59792 +/-     0.005
Argument of Peri:      192.99537 +/-     0.007
Long of Asc Node:       25.17980 +/-     0.000
Inclination:            12.56334 +/-     0.000
Eccentricity:         0.20024714 +/-    0.0001
Semi-Major Axis:     39.55051330 +/-    0.0043
Time of Perihelion: 2455493.2284 +/-       1.2
Perihelion:          31.63063595 +/-    0.0044
Aphelion:            47.47039065 +/-    0.0058
Period (y)              248.7347 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -29.07745015 +/-    0.0006
Ecliptic Y          -12.86318486 +/-    0.0002
Ecliptic Z            0.16277554 +/-    0.0000
Ecliptic XDOT         0.00143958 +/-    0.0000
Ecliptic YDOT        -0.00292102 +/-    0.0000
Ecliptic ZDOT        -0.00072560 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.79600805 +/-    0.0005
Geocenter to KBO     30.81419954 +/-    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    -0.11       0.00    -0.13
  2   0.0001     -1.81     0.03       0.14     0.13
  3   0.0001     -4.13     0.12      -0.46    -0.32
  4   2.0125  15581.59     0.11   -3585.01     0.01
  5   2.0126  15578.74     0.06   -3585.03     0.15
  6   2.0126  15575.97     0.18   -3585.23     0.10
  7   2.0150  15496.60    -0.28   -3588.95     0.25
  8   2.1737  12053.84    -0.15   -3814.00     0.24
  9   2.1738  12053.78     0.02   -3814.24     0.05
 10   2.1764  12039.17    -0.14   -3817.41     0.15
 11   2.8231  29042.09    -0.15   -5001.90    -0.01
 12   2.8232  29040.44     0.03   -5002.17     0.05
 13   3.0524  22385.09     0.10   -5447.60    -0.37
 14   3.0525  22381.65     0.18   -5447.70    -0.30
 15  11.8798 108015.55 (   1.01) -22916.34 (   1.33)
 16  11.8800 108010.03    -0.01  -22918.91    -0.00

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    39.072    39.047
ecceobj         0.191     0.191     0.191
incobj         12.616    12.616    12.616
qmin           30.798    30.801    30.816
qmax           48.557    48.326    48.609
amean          39.456    39.454    39.456
amin           39.022    39.042    39.012
amax           39.947    39.908    39.973
emean           0.192     0.192     0.194
emin            0.165     0.167     0.167
emax            0.217     0.217     0.217
imean          12.678    12.714    12.615
imin           11.854    11.882    11.849
imax           13.615    13.644    13.505
excite_mean     0.292     0.292     0.292
fracstop        1.000     1.000     1.000
cjmean          2.955     2.955     2.955

libcent 0       180.7     179.9     179.7
libamp  0        78.7      73.6      84.3
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       177.9     176.6     176.7
kozaiamp        180.0     180.0     180.0