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: 04VY75 # Created Tue Dec 31 02:08:42 2024 # Orbit generated from Bernstein formalism # Fitting 3 observations of 3 # Arc: 1.07d # First observation: 2004/11/09 # Last observation: 2004/11/10 # WARNING Fitting with energy constraint # WARNING and with gdot fixed = 0 # Chi-squared of fit: 0.02 DOF: 2 RMS: 0.02 # Min/Max residuals: -0.03 0.03 # Exact a, adot, b, bdot, g, gdot: 1.408572E-05 1.866058E-02 -3.152954E-06 -4.016150E-03 2.097896E-02 0.000000E+00 # Covariance matrix: 2.7443E-11 3.5157E-08 -3.9766E-14 5.7975E-11 5.5958E-09 0.0000E+00 3.5157E-08 4.6398E-05 -5.2344E-11 7.6835E-08 7.3238E-06 0.0000E+00 -3.9766E-14 -5.2344E-11 5.1647E-13 -8.6007E-11 -8.2775E-12 0.0000E+00 5.7975E-11 7.6835E-08 -8.6007E-11 2.7624E-07 1.2092E-08 0.0000E+00 5.5958E-09 7.3238E-06 -8.2775E-12 1.2092E-08 1.1629E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.2150E-04 # lat0 lon0 xBary yBary zBary JD0 -0.379629 48.252892 0.023462 -0.006483 -0.992576 2453318.738733 # Heliocentric elements and errors Epoch: 2453310.5000 = 2004/11/01 Mean Anomaly: 350.64316 +/- 60.693 Argument of Peri: 191.43041 +/- 127.406 Long of Asc Node: 226.50469 +/- 0.673 Inclination: 12.16956 +/- 4.611 Eccentricity: 0.01745936 +/- 0.5563 Semi-Major Axis: 49.50961105 +/- 25.4953 Time of Perihelion: 2456617.6908 +/- 657660.4 Perihelion: 48.64520512 +/- 37.2306 Aphelion: 50.37401698 +/- 37.8353 Period (y) 348.3714 +/- 269.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.41162391 +/- 1.6316 Ecliptic Y 36.28906090 +/- 1.8279 Ecliptic Z -0.31597232 +/- 0.0162 Ecliptic XDOT -0.00182043 +/- 0.0011 Ecliptic YDOT 0.00161175 +/- 0.0012 Ecliptic ZDOT -0.00052402 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 48.65705647 +/- 1.7434 Geocenter to KBO 47.66679967 +/- 2.4502 # Hcoef: 6.96
The following table shows the complete astrometric record for 04VY75. 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 (04VY75) followed by the observatory code and reference code for the source of the astrometry.
2004 11 09.23799 03 03 36.63 +16 53 57.9 23.4R 04VY75 695 Cm0643 2004 11 09.33027 03 03 36.23 +16 53 56.0 04VY75 695 Cm0643 2004 11 10.31259 03 03 32.02 +16 53 36.3 04VY75 695 Cm0643
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 -0.00 0.00 0.03
2 0.0003 -6.04 0.00 -0.24 -0.03
3 0.0029 -69.56 -0.00 -2.44 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.