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 Sun Dec 22 02:08:46 2024 # 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 3.562560E-02 -6.761921E-06 -1.423701E-02 3.341606E-02 0.000000E+00 # Covariance matrix: 6.3909E-11 1.3282E-07 -1.4146E-13 -2.2829E-10 2.1013E-08 0.0000E+00 1.3282E-07 2.7930E-04 -2.9739E-10 -4.7992E-07 4.4172E-05 0.0000E+00 -1.4146E-13 -2.9739E-10 7.1005E-13 -3.6072E-11 -4.7035E-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 -4.7035E-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 -0.011070 -0.017908 -0.992060 2453320.793343 # Heliocentric elements and errors Epoch: 2453320.5000 = 2004/11/11 Mean Anomaly: 356.82257 +/- 352.849 Argument of Peri: 186.08160 +/- 59.555 Long of Asc Node: 225.83549 +/- 1.165 Inclination: 21.83149 +/- 9.232 Eccentricity: 0.02993887 +/- 0.5926 Semi-Major Axis: 31.86800196 +/- 17.0272 Time of Perihelion: 2453900.4686 +/- 195823.9 Perihelion: 30.91391000 +/- 25.0903 Aphelion: 32.82209393 +/- 25.7729 Period (y) 179.9038 +/- 144.18 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 20.54264373 +/- 1.5739 Ecliptic Y 23.09698627 +/- 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 30.91546703 +/- 1.6845 Geocenter to KBO 29.92572985 +/- 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