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: 10GF65 # Created Thu May 24 01:37:53 2012 # Orbit generated from Bernstein formalism # Fitting 18 observations of 18 # Arc: 62.19d # First observation: 2010/04/13 # Last observation: 2010/06/14 Preliminary a, adot, b, bdot, g, gdot: -0.000010 0.070312 0.000015 -0.009351 0.042947 0.000000 # Chi-squared of fit: 61.68 DOF: 30 RMS: 0.33 # Min/Max residuals: -0.86 0.62 # Exact a, adot, b, bdot, g, gdot: 1.958906E-05 5.253928E-02 -4.924012E-06 -8.890431E-03 4.004932E-02 -1.751109E-02 # Covariance matrix: 2.1110E-13 -5.3210E-12 -9.0986E-16 -6.3230E-14 2.4093E-14 1.4421E-10 -5.3210E-12 4.8228E-08 4.4463E-11 -1.0944E-09 7.2862E-09 -1.9742E-07 -9.0986E-16 4.4463E-11 1.9727E-13 -2.3031E-12 6.7531E-12 -1.7552E-10 -6.3230E-14 -1.0944E-09 -2.3031E-12 4.7471E-11 -1.6721E-10 4.1201E-09 2.4093E-14 7.2862E-09 6.7531E-12 -1.6721E-10 1.1087E-09 -2.8358E-08 1.4421E-10 -1.9742E-07 -1.7552E-10 4.1201E-09 -2.8358E-08 1.1068E-06 # lat0 lon0 xBary yBary zBary JD0 -8.059034 -140.630942 0.288914 -0.135003 -0.953513 2455299.561256 # Heliocentric elements and errors Epoch: 2455290.5000 = 2010/04/04 Mean Anomaly: 330.48865 +/- 1.324 Argument of Peri: 288.16172 +/- 0.664 Long of Asc Node: 0.27565 +/- 0.111 Inclination: 12.35966 +/- 0.029 Eccentricity: 0.42330614 +/- 0.0238 Semi-Major Axis: 36.36317515 +/- 1.0405 Time of Perihelion: 2461856.1495 +/- 85.7 Perihelion: 20.97041988 +/- 1.0520 Aphelion: 51.75593041 +/- 1.7146 Period (y) 219.2809 +/- 9.41 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -20.03589788 +/- 0.0159 Ecliptic Y -16.07209559 +/- 0.0130 Ecliptic Z -3.50065550 +/- 0.0029 Ecliptic XDOT 0.00326241 +/- 0.0001 Ecliptic YDOT -0.00196486 +/- 0.0000 Ecliptic ZDOT -0.00043399 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 25.92304089 +/- 0.0147 Geocenter to KBO 24.96921412 +/- 0.0208 # Hcoef: 7.17
The following table shows the complete astrometric record for 10GF65. 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 (10GF65) followed by the observatory code and reference code for the source of the astrometry.
2010 04 13.06049 14 16 51.247 -22 14 15.36 21.3R 10GF65 809 C~0GFV 2010 04 13.14522 14 16 50.533 -22 14 12.98 20.8R 10GF65 809 C~0GFV 2010 04 14.05641 14 16 43.751 -22 13 50.70 20.9R 10GF65 809 C~0GFV 2010 04 14.14102 14 16 43.198 -22 13 48.68 20.8R 10GF65 809 C~0GFV 2010 04 14.22519 14 16 42.510 -22 13 45.94 20.8R 10GF65 809 C~0GFV 2010 04 15.13376 14 16 35.716 -22 13 23.42 20.9R 10GF65 807 C~0GFV 2010 04 15.18373 14 16 35.351 -22 13 22.00 21.1R 10GF65 807 C~0GFV 2010 04 20.03519 14 15 58.476 -22 11 10.30 21.0R 10GF65 807 C~0GXZ 2010 04 20.08517 14 15 58.109 -22 11 09.05 21.0R 10GF65 807 C~0GXZ 2010 05 08.07304 14 13 40.084 -22 01 33.65 20.9R 10GF65 807 C~0HIY 2010 05 08.11668 14 13 39.749 -22 01 32.17 21.1R 10GF65 807 C~0HIY 2010 05 09.98322 14 13 25.778 -22 00 26.17 20.7R 10GF65 809 C~0HIY 2010 05 10.06626 14 13 25.148 -22 00 23.22 21.0R 10GF65 809 C~0HIY 2010 05 10.15119 14 13 24.470 -22 00 20.41 20.8R 10GF65 809 C~0HIY 2010 06 06.02492 14 10 27.641 -21 44 23.59 21.1R 10GF65 807 C~0IRr 2010 06 06.09881 14 10 27.205 -21 44 21.13 21.0R 10GF65 807 C~0IRr 2010 06 14.20432 14 09 47.14 -21 39 54.2 21.0R 10GF65 688 C~0InU 2010 06 14.25190 14 09 46.93 -21 39 52.7 10GF65 688 C~0InU
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 0.24 0.00 0.29 2 0.0002 -10.14 -0.86 -1.05 0.25 3 0.0027 -106.36 -0.56 -11.33 -0.26 4 0.0030 -114.27 0.62 -11.98 0.08 5 0.0032 -124.19 -0.20 -12.57 0.45 6 0.0057 -220.65 0.22 -22.70 -0.26 7 0.0058 -225.90 0.39 -23.05 -0.05 8 0.0191 -752.64 -0.02 -69.46 -0.49 9 0.0192 -757.86 0.28 -69.98 -0.53 10 0.0685 -2758.08 0.17 -171.24 -0.23 11 0.0686 -2762.97 0.17 -171.41 -0.25 12 0.0737 -2968.16 0.03 -174.83 0.47 13 0.0739 -2977.41 -0.04 -175.01 0.53 14 0.0742 -2987.24 -0.42 -175.54 0.23 15 0.1477 -5628.58 0.08 -112.11 0.06 16 0.1479 -5635.13 -0.25 -111.88 -0.12 17 0.1701 -6251.68 0.02 -52.36 -0.09 18 0.1703 -6254.94 0.13 -51.96 -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.
10GF65 quality flag:1 Type: CENTAURR CENTAURR CENTAURR axisobj 36.106 39.142 33.776 ecceobj 0.420 0.482 0.360 incobj 12.373 12.283 12.465 qmin 20.529 18.657 21.097 qmax 52.825 60.667 49.090 amean 35.703 38.054 33.856 amin 34.503 34.806 33.117 amax 36.873 40.583 35.142 emean 0.416 0.462 0.360 emin 0.386 0.420 0.305 emax 0.433 0.495 0.397 imean 12.487 15.030 13.104 imin 11.061 12.821 11.109 imax 16.414 18.786 18.197 excite_mean 0.469 0.531 0.428 fracstop 0.044 0.092 0.043 cjmean 2.775 2.713 2.814 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 169.0 146.5 165.2 kozaiamp 179.7 179.7 179.3