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: 04UT10 # Created Fri Nov 1 01:08:34 2024 # Orbit generated from Bernstein formalism # Fitting 6 observations of 6 # Arc: 58.27d # First observation: 2004/10/17 # Last observation: 2004/12/14 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.014613 0.000000 -0.003069 0.017287 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 3.14 DOF: 7 RMS: 0.13 # Min/Max residuals: -0.23 0.26 # Exact a, adot, b, bdot, g, gdot: 1.248280E-05 1.303115E-02 -2.739698E-06 -3.058846E-03 1.707635E-02 -4.128599E-03 # Covariance matrix: 7.9490E-13 3.1344E-10 -6.5384E-15 -7.3915E-12 6.9759E-11 -1.1761E-09 3.1344E-10 3.2315E-07 -6.6015E-12 -7.4551E-09 7.0744E-08 -1.4114E-06 -6.5384E-15 -6.6015E-12 4.8463E-13 -2.9201E-12 -1.5422E-12 -1.5120E-11 -7.3915E-12 -7.4551E-09 -2.9201E-12 2.3548E-10 -1.7517E-09 -2.1669E-08 6.9759E-11 7.0744E-08 -1.5422E-12 -1.7517E-09 1.6105E-08 -2.9443E-08 -1.1761E-09 -1.4114E-06 -1.5120E-11 -2.1669E-08 -2.9443E-08 1.3316E-04 # lat0 lon0 xBary yBary zBary JD0 -1.479888 9.881177 -0.240824 -0.024955 -0.970326 2453295.559443 # Heliocentric elements and errors Epoch: 2453290.5000 = 2004/10/12 Mean Anomaly: 288.65449 +/- 99.710 Argument of Peri: 291.57488 +/- 46.377 Long of Asc Node: 183.94246 +/- 0.250 Inclination: 13.29969 +/- 0.522 Eccentricity: 0.29307111 +/- 0.7666 Semi-Major Axis: 60.10599916 +/- 31.1003 Time of Perihelion: 2487022.2854 +/- 39204.2 Perihelion: 42.49066752 +/- 51.0542 Aphelion: 77.72133080 +/- 61.1588 Period (y) 465.9989 +/- 361.68 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 58.58314674 +/- 0.4286 Ecliptic Y 10.45133838 +/- 0.0746 Ecliptic Z -1.51256401 +/- 0.0112 Ecliptic XDOT -0.00102431 +/- 0.0018 Ecliptic YDOT 0.00193543 +/- 0.0003 Ecliptic ZDOT -0.00047307 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 59.52733326 +/- 0.4220 Geocenter to KBO 58.56051885 +/- 0.4352 # Hcoef: 7.16
The following table shows the complete astrometric record for 04UT10. 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 (04UT10) followed by the observatory code and reference code for the source of the astrometry.
2004 10 17.05870 00 38 38.83 +02 33 10.7 04UT10 304 Cn7976 2004 10 17.09701 00 38 38.73 +02 33 10.0 04UT10 304 Cn7976 2004 10 17.13526 00 38 38.58 +02 33 09.1 04UT10 304 Cn7976 2004 12 12.31999 00 36 37.96 +02 19 36.1 24.7R 04UT10 568 Cn7976 2004 12 13.33042 00 36 37.27 +02 19 31.1 24.8R 04UT10 568 Cn7976 2004 12 14.32403 00 36 36.62 +02 19 27.1 24.4R 04UT10 568 Cn7976
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 -0.09 0.00 -0.02
2 0.0001 -1.65 0.26 -0.06 -0.04
3 0.0002 -4.07 -0.17 -0.00 0.06
4 0.1540 -1985.83 -0.05 -38.38 0.11
5 0.1568 -1997.31 0.09 -38.92 -0.23
6 0.1595 -2007.84 -0.05 -38.78 0.12
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.
04UT10 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