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: 03QN91 # Created Thu May 24 01:37:16 2012 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 1.22y # First observation: 2003/08/23 # Last observation: 2004/11/11 Preliminary a, adot, b, bdot, g, gdot: 0.000065 0.028752 0.000001 0.001599 0.026946 0.000000 # Chi-squared of fit: 38.49 DOF: 20 RMS: 0.30 # Min/Max residuals: -1.15 0.42 # Exact a, adot, b, bdot, g, gdot: 1.666252E-05 2.893358E-02 1.295982E-06 1.621451E-03 2.702461E-02 8.565774E-04 # Covariance matrix: 5.2391E-13 5.6925E-13 -1.0555E-14 8.4801E-14 8.5133E-13 3.8482E-11 5.6925E-13 4.8165E-12 -5.2790E-14 4.5524E-13 3.8997E-12 2.0372E-10 -1.0555E-14 -5.2790E-14 3.3043E-13 -3.0872E-13 -4.7128E-14 -2.4443E-12 8.4801E-14 4.5524E-13 -3.0872E-13 4.7614E-13 3.8351E-13 2.1685E-11 8.5133E-13 3.8997E-12 -4.7128E-14 3.8351E-13 3.7451E-12 1.7358E-10 3.8482E-11 2.0372E-10 -2.4443E-12 2.1685E-11 1.7358E-10 9.6517E-09 # lat0 lon0 xBary yBary zBary JD0 -2.998045 -23.302902 0.127617 -0.052653 -1.006220 2452874.651443 # Heliocentric elements and errors Epoch: 2452870.5000 = 2003/08/19 Mean Anomaly: 12.46097 +/- 1.566 Argument of Peri: 302.15835 +/- 1.963 Long of Asc Node: 18.79882 +/- 0.011 Inclination: 4.33327 +/- 0.001 Eccentricity: 0.10551729 +/- 0.0010 Semi-Major Axis: 42.34216775 +/- 0.0071 Time of Perihelion: 2449387.0680 +/- 437.9 Perihelion: 37.87433700 +/- 0.0416 Aphelion: 46.80999849 +/- 0.0419 Period (y) 275.5293 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.81065805 +/- 0.0024 Ecliptic Y -15.12978623 +/- 0.0011 Ecliptic Z -1.93530122 +/- 0.0001 Ecliptic XDOT 0.00124179 +/- 0.0000 Ecliptic YDOT 0.00264874 +/- 0.0000 Ecliptic ZDOT 0.00015968 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.00575925 +/- 0.0023 Geocenter to KBO 37.00331052 +/- 0.0026 # Hcoef: 7.22
The following table shows the complete astrometric record for 03QN91. 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 (03QN91) followed by the observatory code and reference code for the source of the astrometry.
2003 08 23.15070 22 38 16.69 -11 50 13.2 21.7R 03QN91 807 Ci4137 2003 08 25.23376 22 38 06.36 -11 51 12.9 03QN91 807 Ci4137 2003 08 25.33868 22 38 05.84 -11 51 16.1 03QN91 807 Ci4137 2003 10 22.11010 22 33 57.90 -12 12 34.6 23.4R 03QN91 695 Cj4699 2003 10 22.20949 22 33 57.58 -12 12 35.4 03QN91 695 Cj4699 2004 08 12.29009 22 45 11.30 -11 02 57.9 22.4R 03QN91 807 Cl8405 2004 08 12.36015 22 45 10.96 -11 02 59.8 03QN91 807 Cl8405 2004 10 11.17003 22 40 34.51 -11 28 29.9 22.6R 03QN91 695 Cl8405 2004 10 11.27148 22 40 34.14 -11 28 31.6 03QN91 695 Cl8405 2004 10 12.13108 22 40 31.10 -11 28 45.5 23.7R 03QN91 695 Cl8405 2004 10 12.23634 22 40 30.72 -11 28 48.8 03QN91 695 Cl8405 2004 11 10.15227 22 39 23.51 -11 32 54.4 22.5R 03QN91 695 Cl9847 2004 11 11.12698 22 39 22.58 -11 32 54.6 03QN91 695 Cl9847
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 -0.07 2 0.0057 -162.97 -0.05 1.21 0.16 3 0.0060 -171.25 0.00 1.09 -0.07 4 0.1642 -4023.82 0.25 164.90 -0.26 5 0.1644 -4028.47 -0.27 165.89 0.20 6 0.9723 6716.65 0.02 334.94 0.18 7 0.9725 6711.29 -0.11 335.08 0.31 8 1.1363 2365.38 0.23 450.98 -0.06 9 1.1365 2359.70 0.25 451.44 -0.07 10 1.1389 2313.05 0.25 455.32 0.30 11 1.1392 2306.63 -0.37 454.36 -1.15 12 1.2183 1298.63 -0.10 596.73 0.42 13 1.2210 1285.88 -0.16 601.65 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.
03QN91 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.764 42.787 42.745 ecceobj 0.114 0.116 0.113 incobj 4.319 4.319 4.319 qmin 35.105 34.700 35.438 qmax 50.230 50.704 49.876 amean 42.590 42.615 42.572 amin 42.465 42.479 42.452 amax 42.678 42.704 42.658 emean 0.133 0.147 0.121 emin 0.100 0.109 0.080 emax 0.177 0.187 0.169 imean 5.467 6.203 4.865 imin 3.991 4.573 3.189 imax 6.911 8.172 6.047 excite_mean 0.165 0.184 0.149 fracstop 1.000 1.000 1.000 cjmean 3.051 3.043 3.057 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 181.2 179.7 183.7 kozaiamp 180.0 180.0 180.0