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: 03QM112 # Created Fri Nov 22 02:08:29 2024 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 53.93d # First observation: 2003/08/29 # Last observation: 2003/10/22 Preliminary a, adot, b, bdot, g, gdot: -0.000002 0.230101 -0.000012 -0.053003 0.089143 0.000000 # Chi-squared of fit: 11.23 DOF: 12 RMS: 0.20 # Min/Max residuals: -0.43 0.45 # Exact a, adot, b, bdot, g, gdot: 3.536252E-05 1.851721E-01 -9.979231E-06 -5.442328E-02 8.211937E-02 5.017350E-03 # Covariance matrix: 3.0998E-13 1.6068E-11 -3.4395E-17 1.4991E-15 3.3698E-12 -3.4449E-11 1.6068E-11 2.5623E-07 -7.5654E-11 1.3904E-08 3.4794E-08 -2.4227E-06 -3.4395E-17 -7.5654E-11 3.0543E-13 -6.6216E-12 -1.0098E-11 7.4363E-10 1.4991E-15 1.3904E-08 -6.6216E-12 8.3842E-10 1.8558E-09 -1.3669E-07 3.3698E-12 3.4794E-08 -1.0098E-11 1.8558E-09 4.7542E-09 -3.2447E-07 -3.4449E-11 -2.4227E-06 7.4363E-10 -1.3669E-07 -3.2447E-07 2.3639E-05 # lat0 lon0 xBary yBary zBary JD0 -0.886346 -29.239707 -0.082559 -0.015623 -1.010621 2452880.840443 # Heliocentric elements and errors Epoch: 2452880.5000 = 2003/08/29 Mean Anomaly: 0.18288 +/- 0.147 Argument of Peri: 178.94062 +/- 3.180 Long of Asc Node: 148.34712 +/- 0.009 Inclination: 16.41541 +/- 0.055 Eccentricity: 0.84200593 +/- 0.0020 Semi-Major Axis: 83.35554914 +/- 1.1290 Time of Perihelion: 2452739.2937 +/- 113.4 Perihelion: 13.16968218 +/- 0.2438 Aphelion: 153.54141609 +/- 2.0863 Period (y) 761.0444 +/- 15.46 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 11.54417856 +/- 0.0089 Ecliptic Y -6.36521198 +/- 0.0050 Ecliptic Z -0.18846617 +/- 0.0002 Ecliptic XDOT 0.00313183 +/- 0.0001 Ecliptic YDOT 0.00531326 +/- 0.0001 Ecliptic ZDOT -0.00181666 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 13.18406241 +/- 0.0082 Geocenter to KBO 12.17739513 +/- 0.0102 # Hcoef: 14.06
The following table shows the complete astrometric record for 03QM112. 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 (03QM112) followed by the observatory code and reference code for the source of the astrometry.
2003 08 29.33970 22 12 32.57 -12 01 57.6 24.5R 03QM112 568 Ci9432 2003 08 29.35627 22 12 32.38 -12 01 59.2 24.8R 03QM112 568 Ci9432 2003 08 29.37285 22 12 32.22 -12 02 00.4 24.5R 03QM112 568 Ci9432 2003 08 30.40237 22 12 20.96 -12 03 36.6 25.0R 03QM112 568 Ci9432 2003 08 30.42361 22 12 20.69 -12 03 38.3 25.1R 03QM112 568 Ci9432 2003 09 28.25237 22 07 43.87 -12 43 52.1 03QM112 568 Ci9432 2003 09 28.27864 22 07 43.66 -12 43 53.8 03QM112 568 Ci9432 2003 10 22.22955 22 05 46.63 -13 05 26.0 03QM112 568 Ci9432 2003 10 22.27440 22 05 46.50 -13 05 27.9 03QM112 568 Ci9432
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 0.06 0.00 -0.10
2 0.0000 -3.17 -0.02 -0.51 -0.12
3 0.0001 -5.79 0.45 -0.80 0.07
4 0.0029 -194.36 -0.08 -32.13 -0.16
5 0.0030 -198.67 -0.43 -32.31 0.27
6 0.0819 -4845.80 0.01 -860.69 -0.03
7 0.0820 -4849.28 0.01 -861.21 0.14
8 0.1475 -6906.02 0.27 -1473.72 0.02
9 0.1477 -6908.46 -0.27 -1474.84 -0.08
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.
03QM112 quality flag:1 Type: CENTAURR CENTAURR CENTAURR axisobj 86.222 97.959 83.793 ecceobj 0.847 0.867 0.842 incobj 16.390 16.567 16.328 qmin 12.767 12.418 12.571 qmax 200.906 315.994 405.072 amean 86.244 123.975 154.009 amin 72.785 93.819 79.599 amax 107.344 164.688 209.412 emean 0.843 0.892 0.909 emin 0.817 0.857 0.833 emax 0.872 0.922 0.934 imean 16.230 16.169 17.134 imin 14.963 14.964 14.925 imax 18.328 18.290 19.604 excite_mean 0.888 0.935 0.955 fracstop 0.088 0.148 0.230 cjmean 2.097 1.992 1.971 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 216.5 211.9 229.3 kozaiamp 34.9 35.5 38.3