Orbit Fit and Astrometric record for 04VL78

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: 04VL78    
# Created Sat Oct 21 01:37:33 2017
# Orbit generated from Bernstein formalism
# Fitting    4 observations of    4
# Arc:   7.16d
# First observation: 2004/11/11
#  Last observation: 2004/11/18
# WARNING Fitting with energy constraint
# WARNING and with gdot fixed = 0
# Chi-squared of fit:     1.09 DOF:    4 RMS:  0.09
# Min/Max residuals:    -0.16    0.16
# Exact a, adot, b, bdot, g, gdot:
  1.723433E-05  3.562561E-02 -6.761934E-06 -1.423701E-02  3.341606E-02  0.000000E+00
# Covariance matrix:
  6.3909E-11  1.3282E-07 -1.4147E-13 -2.2829E-10  2.1013E-08  0.0000E+00
  1.3282E-07  2.7930E-04 -2.9741E-10 -4.7992E-07  4.4172E-05  0.0000E+00
 -1.4147E-13 -2.9741E-10  7.1005E-13 -3.6072E-11 -4.7038E-11  0.0000E+00
 -2.2829E-10 -4.7992E-07 -3.6072E-11  4.7341E-09 -7.5903E-08  0.0000E+00
  2.1013E-08  4.4172E-05 -4.7038E-11 -7.5903E-08  6.9863E-06  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  4.9101E-04
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.039770   48.321669   -0.011069   -0.017908   -0.992061  2453320.793343
# Heliocentric elements and errors
Epoch:              2453320.5000  =  2004/11/11
Mean Anomaly:          356.82257 +/-   352.848
Argument of Peri:      186.08159 +/-    59.553
Long of Asc Node:      225.83549 +/-     1.165
Inclination:            21.83149 +/-     9.232
Eccentricity:         0.02993892 +/-    0.5926
Semi-Major Axis:     31.86800326 +/-   17.0272
Time of Perihelion: 2453900.4678 +/-  195823.6
Perihelion:          30.91390966 +/-   25.0903
Aphelion:            32.82209685 +/-   25.7729
Period (y)              179.9039 +/-    144.18
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           20.54264350 +/-    1.5739
Ecliptic Y           23.09698602 +/-    1.7675
Ecliptic Z           -0.54324536 +/-    0.0430
Ecliptic XDOT        -0.00219531 +/-    0.0015
Ecliptic YDOT         0.00191791 +/-    0.0016
Ecliptic ZDOT        -0.00116619 +/-    0.0001
# Distances at JD0 (AU)
Heliocenter to KBO   30.91546669 +/-    1.6845
Geocenter to KBO     29.92572951 +/-    2.3671
# Hcoef:  8.12

The following table shows the complete astrometric record for 04VL78. 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 (04VL78) followed by the observatory code and reference code for the source of the astrometry.

2004 11  11.29260  03 04 38.84   +16 17 02.2   22.4R 04VL78    695  Cm1784      
2004 11  11.39565  03 04 38.17   +16 16 58.6         04VL78    695  Cm1784      
2004 11  18.40096  03 03 52.85   +16 12 53.9   22.8R 04VL78    568  Cm1784      
2004 11  18.44967  03 03 52.52   +16 12 52.5         04VL78    568  Cm1784      

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    -0.08       0.00     0.01
  2   0.0003    -10.27     0.08      -0.80    -0.00
  3   0.0195   -705.10     0.04     -55.86    -0.16
  4   0.0196   -710.06    -0.04     -55.89     0.16

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.

04VL78    quality flag:0

Type:      ERR2LARGE ERR2LARGE ERR2LARGE

axisobj         0.000     0.000     0.000
ecceobj        -1.000    -1.000    -1.000
incobj         -1.000    -1.000    -1.000
qmin            0.000     0.000     0.000
qmax            0.000     0.000     0.000
amean           0.000     0.000     0.000
amin            0.000     0.000     0.000
amax            0.000     0.000     0.000
emean           0.000     0.000     0.000
emin            0.000     0.000     0.000
emax            0.000     0.000     0.000
imean           0.000     0.000     0.000
imin            0.000     0.000     0.000
imax            0.000     0.000     0.000
excite_mean     0.000     0.000     0.000
fracstop        0.000     0.000     0.000
cjmean          0.000     0.000     0.000

libcent 0      -180.0    -180.0    -180.0
libamp  0      -180.0    -180.0    -180.0
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         0.0       0.0       0.0
kozaiamp          0.0       0.0       0.0