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: 03QC91 # Created Sun Dec 22 02:08:30 2024 # Orbit generated from Bernstein formalism # Fitting 5 observations of 5 # Arc: 58.76d # First observation: 2003/08/25 # Last observation: 2003/10/23 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.031203 -0.000001 0.001019 0.024975 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 1.13 DOF: 5 RMS: 0.08 # Min/Max residuals: -0.19 0.14 # Exact a, adot, b, bdot, g, gdot: 1.529280E-05 2.280297E-02 2.371471E-08 1.031612E-03 2.361974E-02 9.648452E-04 # Covariance matrix: 6.2365E-11 9.1141E-08 1.7682E-13 -1.3216E-10 1.4736E-08 -6.9139E-07 9.1141E-08 1.3623E-04 2.7091E-10 -2.0415E-07 2.1900E-05 -1.0731E-03 1.7682E-13 2.7091E-10 4.9687E-13 -3.5581E-12 4.3133E-11 -2.2664E-09 -1.3216E-10 -2.0415E-07 -3.5581E-12 3.7696E-10 -3.2402E-08 1.7405E-06 1.4736E-08 2.1900E-05 4.3133E-11 -3.2402E-08 3.5284E-06 -1.7001E-04 -6.9139E-07 -1.0731E-03 -2.2664E-09 1.7405E-06 -1.7001E-04 9.2458E-03 # lat0 lon0 xBary yBary zBary JD0 -0.030154 -23.747037 0.082787 -0.000469 -1.011739 2452876.831673 # Heliocentric elements and errors Epoch: 2452870.5000 = 2003/08/19 Mean Anomaly: 59.15255 +/- 254.064 Argument of Peri: 295.61860 +/- 51.826 Long of Asc Node: 336.79624 +/- 0.329 Inclination: 2.60114 +/- 1.354 Eccentricity: 0.04503340 +/- 3.5220 Semi-Major Axis: 44.29897407 +/- 17.9112 Time of Perihelion: 2435175.1182 +/- 829787.0 Perihelion: 42.30404080 +/- 156.9543 Aphelion: 46.29390733 +/- 157.1382 Period (y) 294.8484 +/- 178.82 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.64302310 +/- 3.0818 Ecliptic Y -17.52825943 +/- 1.3561 Ecliptic Z -0.02230359 +/- 0.0018 Ecliptic XDOT 0.00116158 +/- 0.0098 Ecliptic YDOT 0.00236860 +/- 0.0055 Ecliptic ZDOT 0.00011969 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.34523799 +/- 2.8714 Geocenter to KBO 42.33746399 +/- 3.3670 # Hcoef: 7.02
The following table shows the complete astrometric record for 03QC91. 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 (03QC91) followed by the observatory code and reference code for the source of the astrometry.
2003 08 25.33093 22 32 07.21 -09 14 44.3 22.6R 03QC91 807 Ci4137 2003 08 26.23401 22 32 03.25 -09 15 07.4 03QC91 807 Ci4137 2003 08 26.34026 22 32 02.76 -09 15 09.9 03QC91 807 Ci4137 2003 10 23.06490 22 28 28.11 -09 35 28.8 23.5R 03QC91 304 Ci9429 2003 10 23.09560 22 28 28.04 -09 35 29.1 03QC91 304 Ci9429
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 -0.01 0.00 0.14
2 0.0025 -63.01 0.07 0.15 -0.19
3 0.0028 -70.68 -0.06 0.51 0.05
4 0.1608 -3472.99 -0.02 34.79 -0.03
5 0.1609 -3474.06 0.02 34.89 0.04
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.
03QC91 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