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: 06QM181 # Created Fri Nov 1 01:08:44 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 59.03d # First observation: 2006/08/22 # Last observation: 2006/10/20 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.029044 0.000000 0.000360 0.024804 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 27.38 DOF: 19 RMS: 0.27 # Min/Max residuals: -0.58 0.68 # Exact a, adot, b, bdot, g, gdot: 1.234971E-05 1.876817E-02 3.873145E-07 4.751774E-04 2.318941E-02 1.329438E-02 # Covariance matrix: 2.0236E-12 2.5570E-09 7.9893E-14 -2.7817E-11 4.2740E-10 -4.4000E-09 2.5570E-09 3.8281E-06 1.1879E-10 -4.1921E-08 6.3010E-07 -9.4924E-06 7.9893E-14 1.1879E-10 2.5180E-13 -2.8624E-12 1.9600E-11 -2.7971E-10 -2.7817E-11 -4.1921E-08 -2.8624E-12 4.7928E-10 -6.8809E-09 1.0996E-07 4.2740E-10 6.3010E-07 1.9600E-11 -6.8809E-09 1.0431E-07 -1.3763E-06 -4.4000E-09 -9.4924E-06 -2.7971E-10 1.0996E-07 -1.3763E-06 8.1389E-05 # lat0 lon0 xBary yBary zBary JD0 -2.428322 -15.516001 0.267044 -0.041248 -0.975583 2453969.746684 # Heliocentric elements and errors Epoch: 2453960.5000 = 2006/08/13 Mean Anomaly: 47.31470 +/- 39.921 Argument of Peri: 183.46401 +/- 13.029 Long of Asc Node: 43.61880 +/- 3.545 Inclination: 2.75579 +/- 0.101 Eccentricity: 0.58066235 +/- 0.3288 Semi-Major Axis: 48.97895460 +/- 24.5998 Time of Perihelion: 2437505.1816 +/- 6251.4 Perihelion: 20.53871988 +/- 19.1264 Aphelion: 77.41918932 +/- 42.0877 Period (y) 342.7855 +/- 258.25 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.38079753 +/- 0.5782 Ecliptic Y -12.04693539 +/- 0.1606 Ecliptic Z -1.82710197 +/- 0.0254 Ecliptic XDOT 0.00211062 +/- 0.0010 Ecliptic YDOT 0.00171007 +/- 0.0004 Ecliptic ZDOT -0.00001049 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.09760712 +/- 0.5574 Geocenter to KBO 43.12313333 +/- 0.6006 # Hcoef: 6.53
The following table shows the complete astrometric record for 06QM181. 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 (06QM181) followed by the observatory code and reference code for the source of the astrometry.
2006 08 22.24593 23 06 37.33 -08 20 53.0 22.3R 06QM181 807 Cs5502 2006 08 22.25005 23 06 37.30 -08 20 53.0 22.4R 06QM181 807 C~077x 2006 08 23.17058 23 06 33.42 -08 21 18.0 06QM181 807 Cs5502 2006 08 23.17462 23 06 33.41 -08 21 18.1 06QM181 807 C~077x 2006 08 23.23806 23 06 33.14 -08 21 19.9 06QM181 807 Cs5502 2006 08 23.24187 23 06 33.11 -08 21 19.9 06QM181 807 C~077x 2006 10 19.14094 23 02 40.42 -08 44 18.4 23.2R 06QM181 695 Ct0530 2006 10 19.16442 23 02 40.32 -08 44 20.0 06QM181 695 Ct0530 2006 10 20.13857 23 02 37.33 -08 44 35.7 06QM181 695 Ct0530 2006 10 20.16198 23 02 37.23 -08 44 35.4 06QM181 695 Ct0530 2006 10 20.25576 23 02 36.94 -08 44 37.6 06QM181 695 Ct0530 2006 10 20.28035 23 02 36.88 -08 44 38.4 06QM181 695 Ct0530
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 0.09 0.00 -0.01 2 0.0000 -0.41 -0.03 0.17 0.16 3 0.0025 -63.18 -0.06 -0.57 -0.01 4 0.0025 -63.36 0.04 -0.60 -0.04 5 0.0027 -67.75 0.05 -0.71 -0.14 6 0.0027 -68.16 -0.09 -0.54 0.03 7 0.1585 -3784.75 0.37 60.89 0.68 8 0.1586 -3786.74 -0.43 59.98 -0.29 9 0.1612 -3833.71 0.17 62.56 -0.23 10 0.1613 -3834.96 0.07 63.41 0.55 11 0.1616 -3839.78 -0.13 63.04 -0.11 12 0.1616 -3840.91 -0.05 62.64 -0.58
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.
06QM181 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