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: 10GX34 # Created Thu May 24 01:37:53 2012 # Orbit generated from Bernstein formalism # Fitting 23 observations of 23 # Arc: 58.02d # First observation: 2010/04/09 # Last observation: 2010/06/06 Preliminary a, adot, b, bdot, g, gdot: -0.000011 0.100870 0.000009 0.010009 0.057598 0.000000 # Chi-squared of fit: 88.81 DOF: 40 RMS: 0.35 # Min/Max residuals: -0.87 0.61 # Exact a, adot, b, bdot, g, gdot: 2.550610E-05 9.009803E-02 2.922108E-06 1.000771E-02 5.569751E-02 -2.148191E-02 # Covariance matrix: 1.2598E-13 -7.0500E-12 -4.7568E-15 1.4270E-13 -4.7609E-13 9.2418E-11 -7.0500E-12 4.0633E-08 3.3216E-11 -5.7141E-11 6.5708E-09 -3.2484E-08 -4.7568E-15 3.3216E-11 1.2161E-13 -9.8223E-13 5.3792E-12 -2.5875E-11 1.4270E-13 -5.7141E-11 -9.8223E-13 2.9102E-11 -6.9994E-12 4.2901E-10 -4.7609E-13 6.5708E-09 5.3792E-12 -6.9994E-12 1.0719E-09 -3.7899E-09 9.2418E-11 -3.2484E-08 -2.5875E-11 4.2901E-10 -3.7899E-09 2.7617E-07 # lat0 lon0 xBary yBary zBary JD0 -10.193775 -136.327058 0.422960 -0.161243 -0.896744 2455295.580536 # Heliocentric elements and errors Epoch: 2455290.5000 = 2010/04/04 Mean Anomaly: 338.25402 +/- 0.320 Argument of Peri: 355.02580 +/- 0.649 Long of Asc Node: 279.30921 +/- 0.059 Inclination: 11.53158 +/- 0.008 Eccentricity: 0.41102451 +/- 0.0067 Semi-Major Axis: 28.36693558 +/- 0.2281 Time of Perihelion: 2458623.9476 +/- 28.0 Perihelion: 16.70742975 +/- 0.2336 Aphelion: 40.02644140 +/- 0.3743 Period (y) 151.0869 +/- 1.82 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -13.72789082 +/- 0.0075 Ecliptic Y -12.52829854 +/- 0.0072 Ecliptic Z -3.17744616 +/- 0.0019 Ecliptic XDOT 0.00374905 +/- 0.0000 Ecliptic YDOT -0.00253989 +/- 0.0000 Ecliptic ZDOT 0.00067101 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 18.85495730 +/- 0.0073 Geocenter to KBO 17.95412499 +/- 0.0106 # Hcoef: 8.26
The following table shows the complete astrometric record for 10GX34. 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 (10GX34) followed by the observatory code and reference code for the source of the astrometry.
2010 04 09.07977 14 31 23.723 -25 38 24.97 20.6R 10GX34 809 C~0GEN 2010 04 09.16481 14 31 22.928 -25 38 22.20 20.4R 10GX34 809 C~0GEN 2010 04 09.24973 14 31 22.148 -25 38 19.21 21.1R 10GX34 809 C~0GEN 2010 04 10.07867 14 31 14.590 -25 37 52.89 21.1R 10GX34 809 C~0GEN 2010 04 10.08378 14 31 14.520 -25 37 52.60 21.2R 10GX34 809 C~0GEN 2010 04 10.12660 14 31 14.114 -25 37 51.24 20.8R 10GX34 809 C~0GEN 2010 04 10.16183 14 31 13.762 -25 37 50.08 20.5R 10GX34 809 C~0GEN 2010 04 10.16979 14 31 13.689 -25 37 49.94 20.5R 10GX34 809 C~0GEN 2010 04 10.24663 14 31 12.942 -25 37 47.35 20.5R 10GX34 809 C~0GEN 2010 04 11.19903 14 31 04.141 -25 37 15.92 20.8R 10GX34 807 C~0GEN 2010 04 11.29153 14 31 03.294 -25 37 13.75 20.6R 10GX34 807 C~0GEN 2010 04 14.16398 14 30 36.168 -25 35 31.81 20.6R 10GX34 807 C~0GEN 2010 04 14.20272 14 30 35.776 -25 35 30.61 20.6R 10GX34 807 C~0GEN 2010 04 15.07216 14 30 27.495 -25 34 57.57 20.3R 10GX34 809 C~0GEN 2010 04 15.15632 14 30 26.653 -25 34 54.01 21.2R 10GX34 809 C~0GEN 2010 04 15.23964 14 30 25.877 -25 34 51.56 20.4R 10GX34 809 C~0GEN 2010 04 24.02170 14 28 59.298 -25 28 46.06 20.5R 10GX34 807 C~0Gu6 2010 04 24.06780 14 28 58.761 -25 28 43.77 20.5R 10GX34 807 C~0Gu6 2010 05 09.98322 14 26 18.651 -25 15 11.84 20.5R 10GX34 809 C~0HIY 2010 05 10.06626 14 26 17.831 -25 15 07.63 20.0R 10GX34 809 C~0HIY 2010 05 10.15119 14 26 16.952 -25 15 02.84 20.8R 10GX34 809 C~0HIY 2010 06 06.02935 14 22 20.664 -24 48 32.96 20.8R 10GX34 807 C~0IRr 2010 06 06.10345 14 22 20.085 -24 48 29.98 21.1R 10GX34 807 C~0IRr
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 0.01 0.00 -0.02 2 0.0002 -11.07 -0.13 -0.81 0.10 3 0.0005 -22.02 -0.07 -1.34 0.46 4 0.0027 -127.29 0.40 -9.03 0.17 5 0.0027 -128.28 0.07 -9.06 0.19 6 0.0029 -133.91 0.00 -9.52 0.17 7 0.0030 -138.80 -0.29 -9.95 0.11 8 0.0030 -139.78 -0.23 -10.13 0.01 9 0.0032 -150.18 -0.56 -10.90 0.00 10 0.0058 -273.01 -0.15 -19.16 -0.12 11 0.0061 -284.56 0.59 -20.77 -0.87 12 0.0139 -664.81 0.06 -41.66 -0.34 13 0.0140 -670.22 -0.07 -42.23 -0.60 14 0.0164 -786.93 0.15 -46.86 0.20 15 0.0166 -798.86 -0.27 -47.14 0.55 16 0.0169 -809.59 0.48 -48.19 0.11 17 0.0409 -2036.81 0.61 -79.69 -0.32 18 0.0410 -2044.43 -0.36 -79.88 -0.40 19 0.0846 -4361.24 -0.18 -19.27 0.46 20 0.0848 -4373.13 0.10 -18.94 0.20 21 0.0851 -4385.97 -0.22 -18.33 0.19 22 0.1587 -7946.21 -0.03 416.79 0.61 23 0.1589 -7954.65 0.08 416.96 -0.86
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.
10GX34 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 28.191 28.743 27.666 ecceobj 0.408 0.421 0.396 incobj 11.536 11.516 11.558 qmin 16.736 16.597 16.777 qmax 40.865 44.252 39.617 amean 28.453 29.592 27.809 amin 28.256 28.954 27.222 amax 28.950 30.805 28.301 emean 0.409 0.431 0.391 emin 0.402 0.423 0.374 emax 0.414 0.441 0.400 imean 13.302 13.837 13.327 imin 13.011 12.898 12.715 imax 14.135 15.477 14.561 excite_mean 0.470 0.493 0.454 fracstop 0.006 0.012 0.007 cjmean 2.786 2.757 2.806 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 59.6 54.4 53.5 kozaiamp 179.4 179.9 179.6