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: 10TJ # Created Thu May 24 01:37:54 2012 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 1.23y # First observation: 2010/10/02 # Last observation: 2011/12/25 Preliminary a, adot, b, bdot, g, gdot: 0.000002 0.027769 -0.000004 0.007883 0.025067 0.000000 # Chi-squared of fit: 37.56 DOF: 20 RMS: 0.30 # Min/Max residuals: -0.60 0.51 # Exact a, adot, b, bdot, g, gdot: 1.749441E-05 2.793616E-02 4.592537E-06 7.985228E-03 2.526896E-02 2.714338E-03 # Covariance matrix: 2.6396E-13 1.4519E-13 -2.5543E-14 1.5724E-13 3.2667E-13 1.3973E-11 1.4519E-13 2.6359E-12 -1.5319E-13 1.3082E-12 1.6464E-12 1.0647E-10 -2.5543E-14 -1.5319E-13 1.9780E-13 -2.7461E-13 -1.2258E-13 -7.3546E-12 1.5724E-13 1.3082E-12 -2.7461E-13 1.3314E-12 8.7533E-13 6.8047E-11 3.2667E-13 1.6464E-12 -1.2258E-13 8.7533E-13 1.4644E-12 7.4554E-11 1.3973E-11 1.0647E-10 -7.3546E-12 6.8047E-11 7.4554E-11 5.4371E-09 # lat0 lon0 xBary yBary zBary JD0 -36.927664 27.117829 0.312421 -0.568854 -0.756903 2455471.702106 # Heliocentric elements and errors Epoch: 2455470.5000 = 2010/10/01 Mean Anomaly: 8.01553 +/- 0.199 Argument of Peri: 271.20417 +/- 0.493 Long of Asc Node: 91.30126 +/- 0.003 Inclination: 38.89618 +/- 0.001 Eccentricity: 0.37739470 +/- 0.0011 Semi-Major Axis: 63.82712176 +/- 0.0629 Time of Perihelion: 2451323.4821 +/- 102.8 Perihelion: 39.73910415 +/- 0.0823 Aphelion: 87.91513938 +/- 0.1129 Period (y) 509.9365 +/- 0.75 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.14693135 +/- 0.0014 Ecliptic Y 14.57302156 +/- 0.0007 Ecliptic Z -23.77633734 +/- 0.0011 Ecliptic XDOT -0.00070756 +/- 0.0000 Ecliptic YDOT 0.00304456 +/- 0.0000 Ecliptic ZDOT 0.00051492 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.33894870 +/- 0.0012 Geocenter to KBO 39.57424363 +/- 0.0019 # Hcoef: 5.18
The following table shows the complete astrometric record for 10TJ. 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 (10TJ) followed by the observatory code and reference code for the source of the astrometry.
2010 10 02.20134 02 35 26.372 -23 58 18.33 21.4R 10TJ 809 C~0NKV 2010 10 02.28428 02 35 26.018 -23 58 21.90 21.1R 10TJ 809 C~0NKV 2010 10 03.09686 02 35 22.486 -23 58 52.35 21.1R 10TJ 809 C~0NKV 2010 10 03.18144 02 35 22.072 -23 58 55.09 21.2R 10TJ 809 C~0NKV 2010 10 03.26470 02 35 21.692 -23 58 58.00 21.1R 10TJ 809 C~0NKV 2010 11 05.11707 02 32 35.98 -24 12 07.6 10TJ 807 C~0X6r 2010 11 05.16021 02 32 35.75 -24 12 07.9 10TJ 807 C~0X6r 2010 12 29.09033 02 28 45.31 -23 54 57.1 10TJ 807 C~0X6r 2010 12 29.13298 02 28 45.21 -23 54 54.9 10TJ 807 C~0X6r 2011 10 06.15058 02 40 48.418 -22 57 45.04 20.0R 10TJ 807 C~0ev9 2011 10 06.27661 02 40 47.869 -22 57 48.81 20.6R 10TJ 807 C~0ev9 2011 12 25.13749 02 34 34.57 -22 56 48.0 21.1R 10TJ 688 C~0ev9 2011 12 25.19936 02 34 34.34 -22 56 46.6 10TJ 688 C~0ev9
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 0.00 0.00 0.08 2 0.0002 -5.86 0.01 -1.41 -0.40 3 0.0025 -62.28 0.21 -10.73 -0.60 4 0.0027 -68.57 -0.08 -11.06 -0.01 5 0.0029 -74.50 -0.07 -11.72 0.19 6 0.0929 -2472.83 -0.13 133.37 0.45 7 0.0930 -2475.86 -0.04 134.30 0.51 8 0.2406 -5005.52 -0.04 2286.85 -0.22 9 0.2407 -5005.97 0.12 2289.40 -0.02 10 1.0101 5501.72 -0.21 1607.13 -0.14 11 1.0105 5493.25 0.38 1606.67 0.39 12 1.2291 770.09 0.43 3679.22 0.26 13 1.2293 767.70 -0.57 3681.74 -0.50
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.
10TJ quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 64.210 64.210 64.210 ecceobj 0.383 0.383 0.383 incobj 38.889 38.889 38.889 qmin 39.037 39.025 39.002 qmax 88.906 89.108 88.865 amean 63.464 63.442 63.389 amin 62.656 62.720 62.667 amax 64.412 64.369 64.337 emean 0.366 0.366 0.366 emin 0.350 0.349 0.348 emax 0.383 0.384 0.383 imean 37.644 37.623 37.624 imin 37.225 37.182 37.203 imax 38.153 38.168 38.194 excite_mean 0.712 0.712 0.712 fracstop 1.000 1.000 1.000 cjmean 2.614 2.614 2.614 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 170.7 168.0 169.6 kozaiamp 180.0 180.0 180.0