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: 03QP112 # Created Thu May 24 01:37:17 2012 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 53.90d # First observation: 2003/08/29 # Last observation: 2003/10/22 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.078277 0.000010 0.033027 0.053725 0.000000 # Chi-squared of fit: 12.46 DOF: 22 RMS: 0.17 # Min/Max residuals: -0.40 0.39 # Exact a, adot, b, bdot, g, gdot: 1.776686E-05 5.594515E-02 1.008410E-05 3.380981E-02 5.015456E-02 -2.319645E-02 # Covariance matrix: 3.1593E-13 3.6611E-11 1.2386E-14 -1.3509E-12 6.1799E-12 -2.5451E-10 3.6611E-11 1.5697E-07 7.5562E-11 -8.0307E-09 2.2110E-08 -1.5477E-06 1.2386E-14 7.5562E-11 3.0299E-13 -6.0673E-12 1.0534E-11 -7.6470E-10 -1.3509E-12 -8.0307E-09 -6.0673E-12 4.4855E-10 -1.1201E-09 8.1164E-08 6.1799E-12 2.2110E-08 1.0534E-11 -1.1201E-09 3.1278E-09 -2.1577E-07 -2.5451E-10 -1.5477E-06 -7.6470E-10 8.1164E-08 -2.1577E-07 1.5660E-05 # lat0 lon0 xBary yBary zBary JD0 -0.503244 -28.904508 -0.077778 -0.008863 -1.011071 2452880.906283 # Heliocentric elements and errors Epoch: 2452880.5000 = 2003/08/29 Mean Anomaly: 291.06723 +/- 7.232 Argument of Peri: 106.54263 +/- 3.917 Long of Asc Node: 332.10462 +/- 0.006 Inclination: 31.18378 +/- 0.201 Eccentricity: 0.33227984 +/- 0.0507 Semi-Major Axis: 21.19673060 +/- 0.9315 Time of Perihelion: 2459705.8509 +/- 557.2 Perihelion: 14.15348434 +/- 1.2410 Aphelion: 28.23997686 +/- 1.6411 Period (y) 97.5914 +/- 6.43 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 18.37398092 +/- 0.0195 Ecliptic Y -10.05359135 +/- 0.0107 Ecliptic Z -0.17489720 +/- 0.0002 Ecliptic XDOT 0.00037664 +/- 0.0002 Ecliptic YDOT 0.00327195 +/- 0.0001 Ecliptic ZDOT 0.00185684 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 20.94536853 +/- 0.0178 Geocenter to KBO 19.93836851 +/- 0.0222 # Hcoef: 12.71
The following table shows the complete astrometric record for 03QP112. 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 (03QP112) followed by the observatory code and reference code for the source of the astrometry.
2003 08 29.40554 22 13 16.03 -11 33 19.8 25.5R 03QP112 568 Ci9432 2003 08 29.42797 22 13 15.81 -11 33 20.6 25.3R 03QP112 568 Ci9432 2003 08 29.44919 22 13 15.60 -11 33 21.4 25.3R 03QP112 568 Ci9432 2003 08 30.45645 22 13 05.93 -11 33 54.9 03QP112 568 Ci9432 2003 08 30.47869 22 13 05.71 -11 33 55.4 25.8R 03QP112 568 Ci9432 2003 09 28.23562 22 08 51.15 -11 47 29.6 03QP112 568 Ci9432 2003 09 28.26307 22 08 50.93 -11 47 29.9 03QP112 568 Ci9432 2003 09 29.24499 22 08 43.48 -11 47 50.7 03QP112 568 Ci9432 2003 09 29.28735 22 08 43.16 -11 47 51.8 03QP112 568 Ci9432 2003 10 22.21349 22 06 27.41 -11 52 20.9 03QP112 568 Ci9432 2003 10 22.22040 22 06 27.40 -11 52 20.9 03QP112 568 Ci9432 2003 10 22.25769 22 06 27.19 -11 52 20.7 03QP112 568 Ci9432 2003 10 22.26460 22 06 27.21 -11 52 21.0 03QP112 568 Ci9432 2003 10 22.30114 22 06 27.05 -11 52 21.1 03QP112 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 -0.03 0.00 0.12 2 0.0001 -3.31 -0.05 0.40 0.07 3 0.0001 -6.48 -0.11 0.75 -0.01 4 0.0029 -151.21 0.07 19.94 -0.22 5 0.0029 -154.41 0.12 20.62 0.01 6 0.0817 -3940.61 0.15 581.09 -0.04 7 0.0817 -3943.74 0.17 581.95 0.27 8 0.0844 -4053.50 -0.16 600.96 0.05 9 0.0845 -4058.29 -0.17 601.58 -0.19 10 0.1473 -6020.26 -0.09 1048.80 -0.04 11 0.1473 -6020.40 0.18 1048.85 -0.12 12 0.1474 -6023.22 -0.40 1050.12 0.39 13 0.1475 -6023.05 0.18 1049.74 -0.13 14 0.1476 -6025.28 0.14 1050.47 -0.14
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.
03QP112 quality flag:1 Type: CENTAURR CENTAURR CENTAURR axisobj 21.308 25.227 19.372 ecceobj 0.332 0.484 0.196 incobj 31.051 30.451 31.671 qmin 13.915 12.762 15.024 qmax 28.958 38.372 23.933 amean 21.348 25.309 19.398 amin 21.140 24.965 18.883 amax 21.913 25.751 19.542 emean 0.332 0.487 0.164 emin 0.308 0.466 0.021 emax 0.347 0.499 0.227 imean 32.109 31.056 32.907 imin 31.428 30.606 31.504 imax 33.028 31.771 35.024 excite_mean 0.627 0.709 0.572 fracstop 0.032 0.011 0.045 cjmean 2.758 2.556 2.881 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 192.0 119.4 206.9 kozaiamp 79.4 19.6 179.5