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: 06AO101 # Created Fri Nov 1 01:08:41 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 50.98d # First observation: 2006/01/05 # Last observation: 2006/02/25 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.002844 -0.000000 0.000186 0.014524 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 9.35 DOF: 11 RMS: 0.19 # Min/Max residuals: -0.32 0.29 # Exact a, adot, b, bdot, g, gdot: 6.401091E-06 5.527386E-03 8.594338E-08 1.871522E-04 1.498613E-02 1.033145E-02 # Covariance matrix: 5.9642E-11 5.9280E-08 -2.0294E-13 2.1346E-11 9.5969E-09 -1.3295E-08 5.9280E-08 5.9219E-05 -2.0272E-10 2.1319E-08 9.5863E-06 -1.3423E-05 -2.0294E-13 -2.0272E-10 2.9523E-13 -2.2080E-12 -3.2817E-11 4.5544E-11 2.1346E-11 2.1319E-08 -2.2080E-12 4.8877E-11 3.4516E-09 -4.5708E-09 9.5969E-09 9.5863E-06 -3.2817E-11 3.4516E-09 1.5519E-06 -2.1532E-06 -1.3295E-08 -1.3423E-05 4.5544E-11 -4.5708E-09 -2.1532E-06 1.3133E-05 # lat0 lon0 xBary yBary zBary JD0 0.482174 128.162138 0.391746 0.007727 -0.903205 2453741.033284 # Heliocentric elements and errors Epoch: 2453740.5000 = 2006/01/05 Mean Anomaly: 36.96064 +/- 31.725 Argument of Peri: 223.77379 +/- 61.509 Long of Asc Node: 114.01594 +/- 18.065 Inclination: 1.99099 +/- 2.549 Eccentricity: 0.87810804 +/- 0.3168 Semi-Major Axis: 70.64874893 +/- 36.8061 Time of Perihelion: 2431471.9392 +/- 7906.3 Perihelion: 8.61151451 +/- 22.8284 Aphelion: 132.68598335 +/- 72.6593 Period (y) 593.8338 +/- 464.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -41.48355270 +/- 3.4269 Ecliptic Y 53.41409898 +/- 4.3615 Ecliptic Z 0.56154449 +/- 0.0467 Ecliptic XDOT -0.00195728 +/- 0.0008 Ecliptic YDOT 0.00085354 +/- 0.0013 Ecliptic ZDOT 0.00005008 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 67.63332349 +/- 4.0352 Geocenter to KBO 66.72837706 +/- 5.5469 # Hcoef: 6.90
The following table shows the complete astrometric record for 06AO101. 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 (06AO101) followed by the observatory code and reference code for the source of the astrometry.
2006 01 05.53253 08 42 51.08 +18 41 28.5 06AO101 568 Cu3139 2006 01 05.550882 08 42 51.04 +18 41 28.3 06AO101 T09 C~63RQ 2006 01 05.57222 08 42 50.96 +18 41 29.0 06AO101 568 Cu3139 2006 01 06.62466 08 42 47.61 +18 41 42.3 24.8R 06AO101 568 Cu3139 2006 01 06.64615 08 42 47.55 +18 41 42.2 24.9R 06AO101 568 Cu3139 2006 02 25.247745 08 40 02.28 +18 52 11.9 06AO101 T15 C~63RQ 2006 02 25.47014 08 40 01.64 +18 52 14.4 06AO101 568 Cu3139 2006 02 25.50897 08 40 01.52 +18 52 15.2 06AO101 568 Cu3139
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 0.02 2 0.0001 -0.50 0.25 -0.34 -0.32 3 0.0001 -1.78 -0.02 0.04 0.06 4 0.0030 -51.20 -0.17 0.54 0.28 5 0.0030 -51.99 0.05 0.22 -0.04 6 0.1389 -2482.15 -0.31 4.27 -0.23 7 0.1395 -2491.57 0.22 4.37 -0.07 8 0.1396 -2493.42 0.09 4.70 0.29
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.
06AO101 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0