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: 03QX91 # Created Thu May 24 01:37:17 2012 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 2.93y # First observation: 2003/08/23 # Last observation: 2006/07/28 Preliminary a, adot, b, bdot, g, gdot: -0.000019 0.033011 0.000064 0.017111 0.030437 0.000000 # Chi-squared of fit: 3.13 DOF: 16 RMS: 0.09 # Min/Max residuals: -0.23 0.13 # Exact a, adot, b, bdot, g, gdot: 1.703449E-05 3.357097E-02 9.095651E-06 1.744904E-02 3.114221E-02 2.784158E-03 # Covariance matrix: 4.6245E-13 -6.0463E-13 3.1579E-14 -1.7947E-13 3.4856E-13 -3.4246E-12 -6.0463E-13 2.2351E-12 -1.7395E-13 9.3509E-13 -2.4087E-13 1.7885E-11 3.1579E-14 -1.7395E-13 2.8029E-13 -1.8436E-13 -1.2574E-14 -1.5271E-12 -1.7947E-13 9.3509E-13 -1.8436E-13 5.0889E-13 3.2488E-14 8.1210E-12 3.4856E-13 -2.4087E-13 -1.2574E-14 3.2488E-14 1.0846E-12 6.5083E-13 -3.4246E-12 1.7885E-11 -1.5271E-12 8.1210E-12 6.5083E-13 1.5540E-10 # lat0 lon0 xBary yBary zBary JD0 -4.126131 -15.275936 0.265467 -0.070482 -0.977779 2452874.747293 # Heliocentric elements and errors Epoch: 2452870.5000 = 2003/08/19 Mean Anomaly: 11.39430 +/- 0.047 Argument of Peri: 331.99473 +/- 0.082 Long of Asc Node: 351.92028 +/- 0.000 Inclination: 27.73093 +/- 0.001 Eccentricity: 0.24752795 +/- 0.0003 Semi-Major Axis: 43.47564067 +/- 0.0130 Time of Perihelion: 2449556.5001 +/- 13.5 Perihelion: 32.71420465 +/- 0.0152 Aphelion: 54.23707669 +/- 0.0200 Period (y) 286.6667 +/- 0.13 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.76903060 +/- 0.0010 Ecliptic Y -8.94844246 +/- 0.0003 Ecliptic Z -2.31016680 +/- 0.0001 Ecliptic XDOT 0.00111431 +/- 0.0000 Ecliptic YDOT 0.00274798 +/- 0.0000 Ecliptic ZDOT 0.00151261 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.08599097 +/- 0.0010 Geocenter to KBO 32.11075773 +/- 0.0011 # Hcoef: 8.22
The following table shows the complete astrometric record for 03QX91. 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 (03QX91) followed by the observatory code and reference code for the source of the astrometry.
2003 08 23.24655 23 10 11.28 -09 49 10.2 22.5R 03QX91 807 Ci4137 2003 08 24.27332 23 10 05.48 -09 49 37.5 03QX91 807 Ci4137 2003 08 24.36527 23 10 04.95 -09 49 39.9 03QX91 807 Ci4137 2003 10 23.12616 23 04 42.08 -10 10 16.6 03QX91 304 Ci9429 2003 10 23.17031 23 04 41.92 -10 10 16.8 03QX91 304 Ci9429 2004 08 13.18163 23 16 34.13 -08 05 16.9 22.6R 03QX91 807 Cr5111 2004 08 13.28838 23 16 33.57 -08 05 19.7 03QX91 807 Cr5111 2006 06 20.30997 23 29 47.08 -04 39 17.5 23.6R 03QX91 304 Cr5111 2006 06 20.41475 23 29 47.10 -04 39 16.4 03QX91 304 Cr5111 2006 07 28.34581 23 28 35.75 -04 41 41.3 23.9R 03QX91 304 Cr5531 2006 07 28.38623 23 28 35.59 -04 41 41.9 03QX91 304 Cr5531
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 -0.05 2 0.0028 -89.59 0.00 8.24 -0.02 3 0.0031 -97.74 0.00 9.07 0.03 4 0.1667 -4974.78 -0.16 717.25 0.07 5 0.1668 -4977.04 0.13 717.98 0.10 6 0.9745 7664.30 0.10 3517.00 -0.02 7 0.9748 7655.54 -0.05 3517.69 -0.17 8 2.8256 23532.18 -0.23 10224.62 0.03 9 2.8259 23532.91 0.12 10225.52 0.12 10 2.9298 22483.64 0.09 10517.96 -0.06 11 2.9299 22481.17 0.00 10518.36 -0.02
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.
03QX91 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EII Type: 7:4EII 7:4EII axisobj 43.939 43.979 43.899 ecceobj 0.255 0.256 0.254 incobj 27.629 27.628 27.630 qmin 31.288 31.455 31.522 qmax 56.371 56.206 56.158 amean 43.723 43.723 43.723 amin 43.628 43.618 43.614 amax 43.833 43.843 43.845 emean 0.223 0.171 0.148 emin 0.137 0.086 0.053 emax 0.286 0.282 0.281 imean 28.829 29.796 30.011 imin 27.234 27.341 27.385 imax 30.746 31.235 31.535 excite_mean 0.534 0.531 0.529 fracstop 1.000 1.000 1.000 cjmean 2.742 2.742 2.743 libcent 0 178.1 180.3 179.9 libamp 0 79.3 114.9 122.9 libcent 1 177.2 180.0 -180.0 libamp 1 109.9 120.1 -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 204.2 158.3 87.5 kozaiamp 180.0 180.0 180.0