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: 03QS91
# Created Sun Dec 22 02:08:31 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 13 observations of 13
# Arc: 10.93y
# First observation: 2003/08/25
# Last observation: 2014/07/29
# Chi-squared of fit: 19.46 DOF: 20 RMS: 0.22
# Min/Max residuals: -0.39 0.63
# Exact a, adot, b, bdot, g, gdot:
1.706301E-05 2.683682E-02 3.731155E-07 -1.262245E-03 2.553166E-02 -1.591590E-03
# Covariance matrix:
3.4255E-13 -3.3724E-13 -6.5150E-16 1.3551E-14 2.6166E-13 -9.3259E-13
-3.3724E-13 1.2050E-12 1.2779E-14 -5.4308E-14 -4.1009E-14 3.6951E-12
-6.5150E-16 1.2779E-14 1.7415E-13 -1.8040E-14 7.8759E-15 4.1212E-14
1.3551E-14 -5.4308E-14 -1.8040E-14 9.6990E-15 -9.9872E-16 -1.6815E-13
2.6166E-13 -4.1009E-14 7.8759E-15 -9.9872E-16 7.5646E-13 3.6139E-14
-9.3259E-13 3.6951E-12 4.1212E-14 -1.6815E-13 3.6139E-14 1.1434E-11
# lat0 lon0 xBary yBary zBary JD0
2.766260 -29.112033 -0.010102 0.049043 -1.013925 2452876.711283
# Heliocentric elements and errors
Epoch: 2452876.5000 = 2003/08/25
Mean Anomaly: 338.09870 +/- 0.053
Argument of Peri: 163.91404 +/- 0.072
Long of Asc Node: 195.84173 +/- 0.002
Inclination: 3.81514 +/- 0.000
Eccentricity: 0.13831024 +/- 0.0001
Semi-Major Axis: 45.91943345 +/- 0.0087
Time of Perihelion: 2459790.9970 +/- 34.6
Perihelion: 39.56830545 +/- 0.0090
Aphelion: 52.27056146 +/- 0.0111
Period (y) 311.1738 +/- 0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 35.06850622 +/- 0.0012
Ecliptic Y -19.51414982 +/- 0.0007
Ecliptic Z 1.89026668 +/- 0.0001
Ecliptic XDOT 0.00125163 +/- 0.0000
Ecliptic YDOT 0.00258829 +/- 0.0000
Ecliptic ZDOT -0.00014326 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.17683891 +/- 0.0011
Geocenter to KBO 39.16713909 +/- 0.0013
# Hcoef: 7.41
The following table shows the complete astrometric record for 03QS91. 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 (03QS91) followed by the observatory code and reference code for the source of the astrometry.
2003 08 25.21054 22 07 47.08 -08 34 12.8 22.4R 03QS91 807 Ci4137 2003 08 25.31519 22 07 46.60 -08 34 15.3 03QS91 807 Ci4137 2003 08 26.18847 22 07 42.50 -08 34 39.0 03QS91 807 Ci4137 2003 10 01.32926 22 05 09.69 -08 50 11.5 23.9R 03QS91 568 Ci6964 2003 10 01.38409 22 05 09.48 -08 50 12.6 03QS91 568 Ci6964 2003 10 24.10892 22 04 10.29 -08 57 14.6 23.1R 03QS91 695 Cj4699 2003 10 24.23668 22 04 10.07 -08 57 16.5 03QS91 695 Cj4699 2004 07 17.19796 22 16 25.35 -07 50 38.8 22.3R 03QS91 807 Cl8405 2004 07 17.29984 22 16 24.98 -07 50 40.8 03QS91 807 Cl8405 2004 10 11.16468 22 10 29.28 -08 25 48.3 23.9R 03QS91 695 Cl8405 2004 10 11.26623 22 10 29.01 -08 25 51.1 03QS91 695 Cl8405 2014 07 29.38896 23 14 50.59 -02 50 40.6 23.2R 03QS91 G37 C~16aI 2014 07 29.43695 23 14 50.43 -02 50 41.5 03QS91 G37 C~16aI
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 -0.00 0.00 -0.26
2 0.0003 0.00 0.26 0.00 0.06
3 0.0027 0.00 -0.05 0.00 -0.08
4 0.1016 0.00 0.31 0.00 -0.39
5 0.1018 0.00 0.04 0.00 -0.26
6 0.1640 0.00 -0.14 0.00 0.07
7 0.1643 0.00 -0.06 0.00 -0.04
8 0.8952 0.00 -0.08 0.00 0.35
9 0.8955 0.00 -0.17 0.00 0.19
10 1.1306 0.00 -0.19 0.00 0.63
11 1.1309 0.00 0.14 0.00 -0.16
12 10.9273 0.00 0.05 0.00 -0.05
13 10.9274 0.00 -0.01 0.00 -0.03
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.
03QS91 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.402 46.402 46.402 ecceobj 0.147 0.147 0.147 incobj 3.805 3.805 3.805 qmin 38.764 38.710 38.769 qmax 54.038 54.006 53.984 amean 46.209 46.209 46.210 amin 45.821 45.820 45.824 amax 46.666 46.662 46.660 emean 0.145 0.145 0.145 emin 0.131 0.130 0.131 emax 0.159 0.158 0.158 imean 4.677 4.677 4.677 imin 4.077 4.077 4.077 imax 5.273 5.275 5.274 excite_mean 0.166 0.166 0.166 fracstop 1.000 1.000 1.000 cjmean 3.094 3.094 3.094 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 182.2 182.5 182.3 kozaiamp 180.0 179.9 180.0