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: 11UH412 # Created Sun Dec 22 02:09:18 2024 # Orbit generated from Bernstein formalism # Fitting 22 observations of 22 # Arc: 1.43y # First observation: 2011/08/30 # Last observation: 2013/02/03 Preliminary a, adot, b, bdot, g, gdot: -0.000153 0.023558 0.000015 0.006126 0.024436 0.000000 # Chi-squared of fit: 6.70 DOF: 38 RMS: 0.10 # Min/Max residuals: -0.24 0.17 # Exact a, adot, b, bdot, g, gdot: 1.467131E-05 2.338716E-02 5.135375E-06 6.135096E-03 2.449115E-02 -2.253359E-03 # Covariance matrix: 3.2517E-13 9.8746E-14 -2.4610E-14 1.5672E-13 3.9812E-13 1.8384E-11 9.8746E-14 5.7131E-13 -3.1078E-14 2.0499E-13 4.4603E-13 2.4233E-11 -2.4610E-14 -3.1078E-14 1.2024E-13 -1.5508E-13 -5.2767E-14 -3.5398E-12 1.5672E-13 2.0499E-13 -1.5508E-13 5.2171E-13 3.4496E-13 2.4611E-11 3.9812E-13 4.4603E-13 -5.2767E-14 3.4496E-13 7.8217E-13 4.0699E-11 1.8384E-11 2.4233E-11 -3.5398E-12 2.4611E-11 4.0699E-11 2.9413E-09 # lat0 lon0 xBary yBary zBary JD0 3.201223 34.491084 0.853890 0.029742 -0.532388 2455803.971736 # Heliocentric elements and errors Epoch: 2455800.5000 = 2011/08/27 Mean Anomaly: 293.68555 +/- 0.061 Argument of Peri: 91.54017 +/- 0.231 Long of Asc Node: 21.48942 +/- 0.001 Inclination: 15.08590 +/- 0.001 Eccentricity: 0.11771591 +/- 0.0022 Semi-Major Axis: 42.87290310 +/- 0.0226 Time of Perihelion: 2474688.1719 +/- 9.0 Perihelion: 37.82608039 +/- 0.0983 Aphelion: 47.91972581 +/- 0.0995 Period (y) 280.7259 +/- 0.22 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.52741523 +/- 0.0012 Ecliptic Y 22.68501301 +/- 0.0008 Ecliptic Z 2.28035831 +/- 0.0001 Ecliptic XDOT -0.00172252 +/- 0.0000 Ecliptic YDOT 0.00199614 +/- 0.0000 Ecliptic ZDOT 0.00067076 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.37574473 +/- 0.0011 Geocenter to KBO 40.83107084 +/- 0.0015 # Hcoef: 8.22
The following table shows the complete astrometric record for 11UH412. 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 (11UH412) followed by the observatory code and reference code for the source of the astrometry.
2011 08 30.47097 02 04 25.276 +16 01 46.95 24.2r 11UH412 568 C~1C6Q 2011 08 30.52337 02 04 25.134 +16 01 46.80 11UH412 568 C~1C6Q 2011 08 30.56976 02 04 25.023 +16 01 46.83 24.1r 11UH412 568 C~1C6Q 2011 09 05.57158 02 04 09.352 +16 01 11.62 24.4r 11UH412 568 C~1C6Q 2011 10 25.31577 02 00 39.592 +15 47 44.60 11UH412 568 C~1C6Q 2011 10 25.36423 02 00 39.331 +15 47 43.65 24.3r 11UH412 568 C~1C6Q 2011 10 25.41871 02 00 39.070 +15 47 42.37 24.3r 11UH412 568 C~1C6Q 2011 10 25.47315 02 00 38.794 +15 47 41.15 24.4r 11UH412 568 C~1C6Q 2011 10 26.26973 02 00 34.838 +15 47 23.35 24.3r 11UH412 568 C~1C6Q 2011 10 26.32241 02 00 34.582 +15 47 22.09 24.1r 11UH412 568 C~1C6Q 2011 10 26.36558 02 00 34.367 +15 47 21.12 24.2r 11UH412 568 C~1C6Q 2011 10 31.30918 02 00 09.848 +15 45 28.68 24.1r 11UH412 568 C~1C6Q 2011 10 31.37121 02 00 09.521 +15 45 27.20 24.4r 11UH412 568 C~1C6Q 2011 11 24.30982 01 58 18.195 +15 36 26.68 24.1r 11UH412 568 C~1C6Q 2011 12 01.32447 01 57 50.136 +15 34 02.45 24.4r 11UH412 568 C~1C6Q 2012 01 26.31723 01 56 26.907 +15 25 41.91 11UH412 568 C~1C6Q 2012 01 27.25145 01 56 28.036 +15 25 46.41 24.8r 11UH412 568 C~1C6Q 2012 08 22.44933 02 09 26.745 +16 49 11.34 11UH412 568 C~1C6Q 2012 10 17.40387 02 06 03.937 +16 38 22.75 24.4r 11UH412 568 C~1C6Q 2012 10 20.50070 02 05 48.602 +16 37 17.44 23.8r 11UH412 568 C~1C6Q 2013 01 14.33578 02 01 00.866 +16 12 49.77 24.6r 11UH412 568 C~1C6Q 2013 02 03.26131 02 01 19.088 +16 13 41.74 24.5r 11UH412 568 C~1C6Q
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 -0.24 2 0.0001 -1.98 -0.08 0.56 -0.11 3 0.0003 -3.47 0.04 1.13 0.10 4 0.0167 -227.85 -0.09 45.14 -0.19 5 0.1529 -3347.18 0.10 326.27 -0.12 6 0.1530 -3351.04 -0.08 326.68 0.09 7 0.1532 -3355.02 0.09 326.78 -0.04 8 0.1533 -3359.18 0.08 327.01 -0.03 9 0.1555 -3418.93 -0.07 330.03 0.17 10 0.1557 -3422.84 0.02 330.12 0.04 11 0.1558 -3426.08 0.06 330.29 0.02 12 0.1693 -3797.18 -0.01 347.13 0.09 13 0.1695 -3802.13 -0.24 347.37 0.11 14 0.2350 -5498.40 -0.01 398.23 -0.03 15 0.2542 -5928.98 0.07 404.21 -0.01 16 0.4075 -7232.41 -0.04 355.31 0.17 17 0.4101 -7215.52 0.07 353.82 0.16 18 0.9801 5044.93 0.07 1209.97 -0.10 19 1.1333 2082.54 -0.11 1581.83 -0.05 20 1.1418 1853.03 0.07 1595.18 -0.03 21 1.3768 -2539.62 -0.07 1633.20 0.02 22 1.4313 -2275.30 0.05 1591.46 -0.01
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.
11UH412 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 42.961 43.021 42.905 ecceobj 0.117 0.123 0.111 incobj 15.070 15.069 15.070 qmin 36.902 36.685 37.077 qmax 48.658 48.994 48.407 amean 42.654 42.716 42.602 amin 42.294 42.357 42.248 amax 43.038 43.109 42.975 emean 0.114 0.120 0.109 emin 0.098 0.103 0.093 emax 0.132 0.138 0.127 imean 14.626 14.612 14.649 imin 13.794 13.785 13.804 imax 15.345 15.340 15.342 excite_mean 0.277 0.280 0.276 fracstop 1.000 1.000 1.000 cjmean 2.993 2.993 2.994 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 183.1 184.8 181.0 kozaiamp 180.0 180.0 180.0