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: 03QL91
# Created Thu May 24 01:37:16 2012
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 16
# Arc: 1.22y
# First observation: 2003/08/25
# Last observation: 2004/11/11
Preliminary a, adot, b, bdot, g, gdot:
0.000068 0.023007 0.000001 -0.000599 0.023896 0.000000
# Chi-squared of fit: 5.19 DOF: 24 RMS: 0.10
# Min/Max residuals: -0.22 0.25
# Exact a, adot, b, bdot, g, gdot:
1.539523E-05 2.316433E-02 3.800782E-07 -6.059050E-04 2.399138E-02 -1.241198E-04
# Covariance matrix:
4.9502E-13 5.2239E-13 4.0906E-15 -3.4792E-14 8.7150E-13 4.5836E-11
5.2239E-13 2.9033E-12 1.3266E-14 -1.1886E-13 2.4626E-12 1.5607E-10
4.0906E-15 1.3266E-14 2.1957E-13 -2.1992E-13 1.3458E-14 8.2594E-13
-3.4792E-14 -1.1886E-13 -2.1992E-13 4.0577E-13 -1.1585E-13 -7.4140E-12
8.7150E-13 2.4626E-12 1.3458E-14 -1.1585E-13 2.7835E-12 1.5250E-10
4.5836E-11 1.5607E-10 8.2594E-13 -7.4140E-12 1.5250E-10 9.7333E-09
# lat0 lon0 xBary yBary zBary JD0
0.363293 -28.731611 -0.003693 0.006491 -1.015129 2452876.730483
# Heliocentric elements and errors
Epoch: 2452870.5000 = 2003/08/19
Mean Anomaly: 298.35817 +/- 16.110
Argument of Peri: 228.98291 +/- 16.583
Long of Asc Node: 164.58859 +/- 0.013
Inclination: 1.54010 +/- 0.002
Eccentricity: 0.00671377 +/- 0.0038
Semi-Major Axis: 42.82771863 +/- 0.0088
Time of Perihelion: 2470399.5695 +/- 4581.1
Perihelion: 42.54018323 +/- 0.1638
Aphelion: 43.11525402 +/- 0.1638
Period (y) 280.2823 +/- 0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 37.43852900 +/- 0.0025
Ecliptic Y -20.51683351 +/- 0.0014
Ecliptic Z 0.26428917 +/- 0.0000
Ecliptic XDOT 0.00125345 +/- 0.0000
Ecliptic YDOT 0.00231888 +/- 0.0000
Ecliptic ZDOT -0.00006906 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.69254923 +/- 0.0023
Geocenter to KBO 41.68163168 +/- 0.0029
# Hcoef: 6.62
The following table shows the complete astrometric record for 03QL91. 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 (03QL91) followed by the observatory code and reference code for the source of the astrometry.
2003 08 25.22974 22 12 40.28 -10 41 02.6 21.9R 03QL91 807 Ci4137 2003 08 26.21790 22 12 35.82 -10 41 27.5 03QL91 807 Ci4137 2003 08 26.32469 22 12 35.34 -10 41 30.4 03QL91 807 Ci4137 2003 09 28.21164 22 10 18.06 -10 54 34.0 22.8R 03QL91 688 Ci6257 2003 09 28.33720 22 10 17.66 -10 54 36.3 03QL91 688 Ci6257 2003 10 23.01618 22 09 09.21 -11 01 15.0 23.1R 03QL91 304 Ci9429 2003 10 23.04322 22 09 09.16 -11 01 15.4 03QL91 304 Ci9429 2003 10 23.14171 22 09 08.98 -11 01 16.8 22.6R 03QL91 695 Cj8802 2003 10 24.17136 22 09 07.09 -11 01 28.0 03QL91 695 Cj8802 2004 07 17.30741 22 20 20.98 -09 59 43.3 03QL91 807 C~0Col 2004 08 12.28135 22 18 39.31 -10 09 26.7 22.0R 03QL91 807 Cl8405 2004 08 12.35092 22 18 38.99 -10 09 28.3 03QL91 807 Cl8405 2004 10 10.16522 22 14 40.60 -10 32 27.5 22.9R 03QL91 695 Cl8405 2004 10 10.29698 22 14 40.21 -10 32 29.7 03QL91 695 Cl8405 2004 11 10.14154 22 13 48.85 -10 37 42.8 23.0R 03QL91 695 Cl9847 2004 11 11.11617 22 13 48.55 -10 37 45.3 03QL91 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 -0.03 0.00 -0.16 2 0.0027 -70.30 0.00 0.05 0.25 3 0.0030 -77.94 0.05 -0.15 0.04 4 0.0930 -2247.16 -0.04 -16.91 0.12 5 0.0934 -2253.49 ( 0.82) -16.98 ( 0.07) 6 0.1609 -3337.54 0.03 -34.54 0.06 7 0.1610 -3338.37 0.03 -34.66 -0.05 8 0.1613 -3341.34 0.04 -35.03 -0.15 9 0.1641 -3371.34 -0.08 -35.71 -0.03 10 0.8955 7238.23 -0.07 -117.28 -0.22 11 0.9666 5625.78 0.09 -121.05 -0.12 12 0.9668 5620.79 -0.03 -120.84 0.07 13 1.1278 1841.18 0.08 -149.60 -0.09 14 1.1282 1835.02 0.04 -149.61 -0.07 15 1.2126 1015.84 -0.05 -172.47 0.17 16 1.2153 1010.82 -0.07 -173.24 0.19
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.
03QL91 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.203 43.238 43.179 ecceobj 0.014 0.023 0.012 incobj 1.535 1.534 1.534 qmin 41.855 41.399 42.112 qmax 44.334 44.858 44.034 amean 43.088 43.120 43.063 amin 43.075 43.105 43.053 amax 43.095 43.130 43.073 emean 0.020 0.030 0.014 emin 0.005 0.016 0.000 emax 0.029 0.040 0.022 imean 2.464 2.459 2.472 imin 1.472 1.465 1.476 imax 3.161 3.162 3.169 excite_mean 0.047 0.052 0.045 fracstop 1.000 1.000 1.000 cjmean 3.088 3.088 3.088 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 187.8 189.7 177.1 kozaiamp 180.0 180.0 180.0