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: 03QO91 # Created Thu May 24 01:37:16 2012 # Orbit generated from Bernstein formalism # Fitting 11 observations of 13 # Arc: 6.07y # First observation: 2003/08/23 # Last observation: 2009/09/18 Preliminary a, adot, b, bdot, g, gdot: -0.000096 0.027541 0.000009 -0.003274 0.025709 0.000000 # Chi-squared of fit: 3.40 DOF: 16 RMS: 0.10 # Min/Max residuals: -0.21 0.24 # Exact a, adot, b, bdot, g, gdot: 1.560339E-05 2.749196E-02 -2.370694E-06 -3.264184E-03 2.601826E-02 7.957143E-04 # Covariance matrix: 4.6315E-13 -9.6397E-13 -2.8182E-14 1.1982E-13 3.8769E-13 -5.8943E-12 -9.6397E-13 3.5008E-12 1.0166E-13 -4.4629E-13 -9.2959E-13 2.1968E-11 -2.8182E-14 1.0166E-13 1.8321E-13 -4.7543E-14 -3.1206E-14 6.4321E-13 1.1982E-13 -4.4629E-13 -4.7543E-14 8.3164E-14 1.2117E-13 -2.8216E-12 3.8769E-13 -9.2959E-13 -3.1206E-14 1.2117E-13 8.1218E-13 -5.9502E-12 -5.8943E-12 2.1968E-11 6.4321E-13 -2.8216E-12 -5.9502E-12 1.3889E-10 # lat0 lon0 xBary yBary zBary JD0 -2.218816 -21.103098 0.166135 -0.038746 -1.001217 2452874.655233 # Heliocentric elements and errors Epoch: 2452870.5000 = 2003/08/19 Mean Anomaly: 9.14818 +/- 0.145 Argument of Peri: 185.75861 +/- 0.191 Long of Asc Node: 141.08917 +/- 0.001 Inclination: 7.13080 +/- 0.000 Eccentricity: 0.12839969 +/- 0.0003 Semi-Major Axis: 45.12976438 +/- 0.0149 Time of Perihelion: 2450056.4927 +/- 44.4 Perihelion: 39.33511643 +/- 0.0198 Aphelion: 50.92441234 +/- 0.0225 Period (y) 303.1816 +/- 0.15 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.70237501 +/- 0.0012 Ecliptic Y -14.33943433 +/- 0.0005 Ecliptic Z -1.48812850 +/- 0.0001 Ecliptic XDOT 0.00110197 +/- 0.0000 Ecliptic YDOT 0.00266786 +/- 0.0000 Ecliptic ZDOT -0.00034629 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.43219795 +/- 0.0012 Geocenter to KBO 38.43455139 +/- 0.0013 # Hcoef: 6.71
The following table shows the complete astrometric record for 03QO91. 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 (03QO91) followed by the observatory code and reference code for the source of the astrometry.
2003 08 23.15449 22 45 23.32 -10 17 24.4 21.7R 03QO91 807 Ci4137 2003 08 24.24550 22 45 18.23 -10 17 57.7 03QO91 807 Ci4137 2003 08 24.34971 22 45 17.73 -10 18 01.0 03QO91 807 Ci4137 2003 09 29.20936 22 42 34.03 -10 35 08.9 22.2R 03QO91 688 Ci6257 2003 09 29.33410 22 42 33.53 -10 35 11.9 03QO91 688 Ci6257 2003 10 24.09833 22 41 09.92 -10 43 17.6 22.7R 03QO91 304 Ci9429 2003 10 24.12483 22 41 09.86 -10 43 17.9 03QO91 304 Ci9429 2004 07 16.33525 22 53 57.05 -09 35 11.3 21.4R 03QO91 807 C~077P 2004 07 16.38676 22 53 56.91 -09 35 12.5 03QO91 807 C~077P 2007 10 11.14934 23 06 22.17 -08 57 14.5 23.2R 03QO91 688 C~077P 2007 10 11.22698 23 06 21.72 -08 57 16.2 03QO91 688 C~077P 2009 09 18.23582 23 20 09.63 -07 53 32.2 22.9R 03QO91 688 C~09at 2009 09 18.28500 23 20 09.40 -07 53 33.7 03QO91 688 C~09at
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 0.23 0.00 0.08 2 0.0030 -82.13 -0.06 -2.51 0.08 3 0.0033 -90.21 -0.21 -2.78 -0.01 4 0.1015 -2714.49 -0.08 -46.99 0.03 5 0.1018 -2722.45 0.24 -47.01 -0.02 6 0.1696 -4047.54 -0.13 -35.67 -0.05 7 0.1697 -4048.47 0.02 -35.62 -0.04 8 0.8985 7987.36 -0.04 -543.10 0.01 9 0.8987 7984.98 0.03 -543.41 -0.10 10 4.1341 19090.31 ( -0.60) -2724.04 ( 0.30) 11 4.1344 19083.45 ( -2.63) -2722.98 ( 1.23) 12 6.0728 32082.83 0.00 -4092.03 0.01 13 6.0729 32079.01 0.00 -4092.03 0.00
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.
03QO91 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.614 45.659 45.569 ecceobj 0.137 0.138 0.136 incobj 7.108 7.108 7.108 qmin 39.060 38.942 39.065 qmax 51.815 52.038 51.720 amean 45.403 45.452 45.358 amin 45.376 45.416 45.331 amax 45.443 45.497 45.397 emean 0.133 0.135 0.132 emin 0.125 0.127 0.124 emax 0.140 0.144 0.139 imean 6.113 6.135 6.112 imin 5.538 5.525 5.539 imax 6.683 6.719 6.689 excite_mean 0.171 0.172 0.170 fracstop 1.000 1.000 1.000 cjmean 3.083 3.083 3.083 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 183.4 181.5 183.2 kozaiamp 180.0 180.0 180.0