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: 06QK181 # Created Wed Nov 27 02:08:50 2024 # Orbit generated from Bernstein formalism # Fitting 6 observations of 6 # Arc: 58.90d # First observation: 2006/08/22 # Last observation: 2006/10/20 Preliminary a, adot, b, bdot, g, gdot: -0.000002 0.039086 -0.000000 -0.009647 0.029074 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 8.15 DOF: 7 RMS: 0.21 # Min/Max residuals: -0.28 0.46 # Exact a, adot, b, bdot, g, gdot: 1.468072E-05 2.606163E-02 -5.048478E-06 -9.911611E-03 2.702720E-02 1.371146E-02 # Covariance matrix: 3.4456E-12 4.8816E-09 -2.0775E-13 7.5758E-11 8.1924E-10 -6.4009E-09 4.8816E-09 8.5036E-06 -3.7058E-10 1.4269E-07 1.4023E-06 -1.7749E-05 -2.0775E-13 -3.7058E-10 5.1319E-13 -9.5904E-12 -6.0619E-11 9.0968E-10 7.5758E-11 1.4269E-07 -9.5904E-12 2.7042E-09 2.2935E-08 -4.6287E-07 8.1924E-10 1.4023E-06 -6.0619E-11 2.2935E-08 2.3257E-07 -2.5624E-06 -6.4009E-09 -1.7749E-05 9.0968E-10 -4.6287E-07 -2.5624E-06 1.3789E-04 # lat0 lon0 xBary yBary zBary JD0 3.144384 -15.520355 0.267183 0.053681 -0.974943 2453969.733914 # Heliocentric elements and errors Epoch: 2453960.5000 = 2006/08/13 Mean Anomaly: 33.07551 +/- 27.002 Argument of Peri: 84.57049 +/- 16.844 Long of Asc Node: 172.11000 +/- 0.896 Inclination: 20.93943 +/- 2.142 Eccentricity: 0.50091190 +/- 0.4167 Semi-Major Axis: 52.09772508 +/- 26.6423 Time of Perihelion: 2441341.3360 +/- 3525.6 Perihelion: 26.00135464 +/- 25.4559 Aphelion: 78.19409551 +/- 45.4996 Period (y) 376.0420 +/- 288.46 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.46337920 +/- 0.6352 Ecliptic Y -10.40723401 +/- 0.1764 Ecliptic Z 2.02932565 +/- 0.0362 Ecliptic XDOT 0.00210033 +/- 0.0011 Ecliptic YDOT 0.00215303 +/- 0.0005 Ecliptic ZDOT -0.00092639 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 37.97376337 +/- 0.6118 Geocenter to KBO 36.99976428 +/- 0.6602 # Hcoef: 7.28
The following table shows the complete astrometric record for 06QK181. 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 (06QK181) followed by the observatory code and reference code for the source of the astrometry.
2006 08 22.23316 22 57 58.14 -03 12 26.8 22.4R 06QK181 807 Cs5502 2006 08 23.15943 22 57 53.82 -03 12 57.7 06QK181 807 Cs5502 2006 08 23.22656 22 57 53.51 -03 13 00.1 06QK181 807 Cs5502 2006 10 19.13236 22 53 44.62 -03 45 43.9 23.1R 06QK181 695 Ct0530 2006 10 19.22671 22 53 44.29 -03 45 46.9 06QK181 695 Ct0530 2006 10 20.13464 22 53 41.46 -03 46 12.5 06QK181 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 0.12 0.00 -0.15 2 0.0025 -71.60 -0.09 -3.70 0.17 3 0.0027 -76.81 -0.03 -4.13 -0.00 4 0.1585 -4271.98 0.19 -389.39 -0.19 5 0.1588 -4277.70 -0.24 -390.27 -0.28 6 0.1613 -4326.65 0.05 -397.71 0.46
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.
06QK181 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