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: 11UX412 # Created Fri Nov 1 01:09:06 2024 # Orbit generated from Bernstein formalism # Fitting 7 observations of 7 # Arc: 36.89d # First observation: 2011/10/24 # Last observation: 2011/11/30 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.023354 -0.000001 -0.009422 0.022779 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 1.04 DOF: 9 RMS: 0.07 # Min/Max residuals: -0.10 0.11 # Exact a, adot, b, bdot, g, gdot: 1.272984E-05 1.732226E-02 -7.181346E-06 -9.545991E-03 2.182532E-02 -8.416487E-03 # Covariance matrix: 1.1619E-12 9.2202E-10 -8.8270E-14 1.7736E-11 1.4868E-10 -3.8287E-09 9.2202E-10 1.1803E-06 -1.2169E-10 2.4417E-08 1.8593E-07 -6.7877E-06 -8.8270E-14 -1.2169E-10 3.5182E-13 -6.7857E-12 -1.8963E-11 8.1236E-10 1.7736E-11 2.4417E-08 -6.7857E-12 6.6101E-10 3.8058E-09 -1.6263E-07 1.4868E-10 1.8593E-07 -1.8963E-11 3.8058E-09 2.9371E-08 -1.0263E-06 -3.8287E-09 -6.7877E-06 8.1236E-10 -1.6263E-07 -1.0263E-06 6.2352E-05 # lat0 lon0 xBary yBary zBary JD0 2.856190 31.933288 0.023858 0.049385 -0.989740 2455858.938316 # Heliocentric elements and errors Epoch: 2455850.5000 = 2011/10/16 Mean Anomaly: 313.91707 +/- 36.934 Argument of Peri: 267.22994 +/- 12.371 Long of Asc Node: 216.96954 +/- 0.322 Inclination: 28.93814 +/- 1.542 Eccentricity: 0.41597685 +/- 0.3944 Semi-Major Axis: 55.36850242 +/- 24.9265 Time of Perihelion: 2475113.7779 +/- 8315.6 Perihelion: 32.33648703 +/- 26.2452 Aphelion: 78.40051780 +/- 41.5048 Period (y) 412.0049 +/- 278.22 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.69294483 +/- 0.3050 Ecliptic Y 24.71007140 +/- 0.1900 Ecliptic Z 2.28275691 +/- 0.0179 Ecliptic XDOT -0.00199725 +/- 0.0009 Ecliptic YDOT 0.00132304 +/- 0.0004 Ecliptic ZDOT -0.00124854 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.81162758 +/- 0.2774 Geocenter to KBO 45.81835098 +/- 0.3598 # Hcoef: 8.11
The following table shows the complete astrometric record for 11UX412. 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 (11UX412) followed by the observatory code and reference code for the source of the astrometry.
2011 10 24.43755 01 54 58.085 +14 49 26.88 24.3r 11UX412 568 C~1CKy 2011 10 24.48029 01 54 57.904 +14 49 25.60 24.9r 11UX412 568 C~1CKy 2011 10 24.52304 01 54 57.717 +14 49 24.26 24.7r 11UX412 568 C~1CKy 2011 10 30.55955 01 54 31.992 +14 46 29.54 24.8r 11UX412 568 C~1CKy 2011 10 31.54242 01 54 27.835 +14 46 00.81 24.5r 11UX412 568 C~1CKy 2011 11 24.28350 01 52 53.984 +14 34 43.93 24.9r 11UX412 568 C~1CKy 2011 11 30.32972 01 52 33.519 +14 32 04.37 24.7r 11UX412 568 C~1CKy
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 -0.04 0.00 0.05 2 0.0001 -2.91 0.01 -0.28 -0.01 3 0.0002 -5.92 -0.05 -0.59 -0.10 4 0.0168 -416.53 0.03 -33.93 0.11 5 0.0195 -483.06 0.08 -39.76 -0.02 6 0.0845 -1995.84 -0.08 -196.32 -0.10 7 0.1010 -2330.12 0.05 -241.25 0.07
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.
11UX412 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