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: 06QS181 # Created Fri Apr 26 01:12:42 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 120.96d # First observation: 2006/08/22 # Last observation: 2006/12/21 Preliminary a, adot, b, bdot, g, gdot: -0.000039 0.042589 -0.000067 -0.005572 0.029581 0.000000 # Chi-squared of fit: 17.90 DOF: 10 RMS: 0.26 # Min/Max residuals: -0.64 0.43 # Exact a, adot, b, bdot, g, gdot: 1.851171E-05 3.141583E-02 -4.357532E-06 -6.327215E-03 2.769760E-02 9.057092E-03 # Covariance matrix: 5.0218E-13 -8.6316E-13 3.5891E-16 -1.6593E-13 6.6948E-13 7.6734E-11 -8.6316E-13 2.3811E-09 -1.4484E-11 1.8586E-10 3.2071E-10 -2.3255E-08 3.5891E-16 -1.4484E-11 5.0035E-13 -2.7564E-12 -1.9294E-12 1.4671E-10 -1.6593E-13 1.8586E-10 -2.7564E-12 2.6533E-11 2.3743E-11 -2.0326E-09 6.6948E-13 3.2071E-10 -1.9294E-12 2.3743E-11 4.6982E-11 -2.6186E-09 7.6734E-11 -2.3255E-08 1.4671E-10 -2.0326E-09 -2.6186E-09 3.0636E-07 # lat0 lon0 xBary yBary zBary JD0 10.081050 10.613355 0.669220 0.133076 -0.747791 2453969.789764 # Heliocentric elements and errors Epoch: 2453960.5000 = 2006/08/13 Mean Anomaly: 21.01737 +/- 0.675 Argument of Peri: 85.54387 +/- 1.944 Long of Asc Node: 230.64554 +/- 0.049 Inclination: 14.83191 +/- 0.014 Eccentricity: 0.42173983 +/- 0.0160 Semi-Major Axis: 56.36332995 +/- 0.8577 Time of Perihelion: 2444937.1180 +/- 203.6 Perihelion: 32.59266860 +/- 1.0286 Aphelion: 80.13399130 +/- 1.5162 Period (y) 423.1586 +/- 9.66 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.80538316 +/- 0.0086 Ecliptic Y 6.02628284 +/- 0.0016 Ecliptic Z 6.31955033 +/- 0.0016 Ecliptic XDOT 0.00040656 +/- 0.0001 Ecliptic YDOT 0.00322988 +/- 0.0000 Ecliptic ZDOT -0.00045911 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.85482688 +/- 0.0084 Geocenter to KBO 36.10421247 +/- 0.0089 # Hcoef: 7.98
The following table shows the complete astrometric record for 06QS181. 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 (06QS181) followed by the observatory code and reference code for the source of the astrometry.
2006 08 22.28901 00 22 50.18 +13 27 28.0 22.8R 06QS181 807 Cs5502 2006 08 23.20946 00 22 46.78 +13 27 13.4 06QS181 807 Cs5502 2006 08 23.27814 00 22 46.49 +13 27 12.2 06QS181 807 Cs5502 2006 10 19.24752 00 18 20.61 +12 58 27.3 23.3R 06QS181 695 Ct0530 2006 10 19.35113 00 18 20.06 +12 58 23.4 06QS181 695 Ct0530 2006 10 20.30517 00 18 15.80 +12 57 46.5 06QS181 695 Ct0530 2006 12 21.10622 00 15 54.72 +12 24 53.3 24.0R 06QS181 695 Ct5545 2006 12 21.25352 00 15 54.84 +12 24 51.1 06QS181 695 Ct5545
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 -0.12 0.00 0.15
2 0.0025 -51.28 0.25 6.57 -0.11
3 0.0027 -55.64 -0.13 7.18 -0.05
4 0.1587 -4304.76 0.21 -1.65 -0.25
5 0.1590 -4313.70 -0.64 -1.95 0.27
6 0.1616 -4385.62 0.43 -10.38 -0.01
7 0.3308 -7076.85 -0.31 -972.40 -0.08
8 0.3312 -7076.15 0.31 -975.13 0.08
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.
06QS181 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 57.154 60.123 54.969 ecceobj 0.427 0.475 0.384 incobj 14.784 14.814 14.754 qmin 30.955 30.723 32.635 qmax 84.515 94.960 76.646 amean 56.728 60.903 54.199 amin 55.330 57.720 53.309 amax 58.654 63.246 55.225 emean 0.427 0.472 0.370 emin 0.402 0.427 0.348 emax 0.456 0.505 0.394 imean 15.551 16.949 16.391 imin 13.381 14.740 14.608 imax 17.223 18.914 17.847 excite_mean 0.505 0.555 0.465 fracstop 1.000 1.000 1.000 cjmean 2.921 2.891 2.946 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 169.5 190.0 183.0 kozaiamp 180.0 180.0 179.9