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: 87555 # Created Mon Nov 23 02:36:30 2009 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 27 observations of 27 # Arc: 9.07y # First observation: 2000/08/25 # Last observation: 2009/09/18 # Chi-squared of fit: 142.35 DOF: 48 RMS: 0.41 # Min/Max residuals: -1.82 0.94 # Exact a, adot, b, bdot, g, gdot: 2.689927E-05 9.866053E-02 3.424716E-06 1.097555E-02 5.821408E-02 3.288178E-02 # Covariance matrix: 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 # lat0 lon0 xBary yBary zBary JD0 -2.407559 -50.606671 -0.383636 -0.039324 -0.931175 2451781.539503 # Heliocentric elements and errors Epoch: 2451780.5000 = 2000/08/24 Mean Anomaly: 14.73045 +/- 0.000 Argument of Peri: 284.32647 +/- 0.000 Long of Asc Node: 330.17328 +/- 0.000 Inclination: 6.79673 +/- 0.000 Eccentricity: 0.56039554 +/- 0.0000 Semi-Major Axis: 34.68044432 +/- 0.0000 Time of Perihelion: 2448728.1175 +/- 0.0 Perihelion: 15.24567808 +/- 0.0000 Aphelion: 54.11521056 +/- 0.0000 Period (y) 204.2374 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 11.78616728 +/- 0.0000 Ecliptic Y -13.73572911 +/- 0.0000 Ecliptic Z -0.72154796 +/- 0.0000 Ecliptic XDOT 0.00457294 +/- 0.0000 Ecliptic YDOT 0.00173929 +/- 0.0000 Ecliptic ZDOT 0.00045092 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 18.11349716 +/- 0.0000 Geocenter to KBO 17.17786390 +/- 0.0000 # Hcoef: 8.15
The following table shows the complete astrometric record for 87555. 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 (87555) followed by the observatory code and reference code for the source of the astrometry.
2000 08 25.03876 20 50 02.73 -20 13 22.8 20.4R 87555 807 Cc1045 2000 08 25.10181 20 50 02.14 -20 13 24.5 87555 807 Cc1045 2000 08 27.11767 20 49 43.80 -20 14 16.1 87555 807 Cc1045 2000 08 28.03186 20 49 35.64 -20 14 38.7 87555 807 Cc1045 2000 10 02.12275 20 45 56.08 -20 21 44.9 21.0R 87555 688 Cc1045 2000 10 02.19561 20 45 55.88 -20 21 44.4 87555 688 Cc1045 2001 08 19.12089 21 12 27.59 -18 01 50.5 19.1R 87555 807 Cd7651 2001 08 19.19962 21 12 26.83 -18 01 53.3 87555 807 Cd7651 2001 08 21.12734 21 12 08.34 -18 03 00.0 19.8R 87555 807 Cd7651 2001 08 21.20065 21 12 07.63 -18 03 02.6 87555 807 Cd7651 2001 09 12.22669 21 08 58.01 -18 13 38.8 20.9R 87555 695 Cd7651 2001 09 12.27374 21 08 57.66 -18 13 39.8 87555 695 Cd7651 2001 09 19.12648 21 08 10.50 -18 15 55.7 21.0R 87555 688 Cd7651 2001 09 19.22799 21 08 09.85 -18 15 57.4 87555 688 Cd7651 2002 07 10.19841 21 37 52.50 -15 28 32.9 20.9R 87555 304 Cf9761 2002 07 10.42178 21 37 50.74 -15 28 39.6 87555 304 Cf9761 2002 07 13.22786 21 37 29.95 -15 30 12.3 87555 304 Cf9761 2002 07 13.24957 21 37 29.78 -15 30 13.0 87555 304 Cf9761 2002 07 18.12573 21 36 51.42 -15 33 03.9 87555 304 Cf9761 2002 07 18.41358 21 36 49.03 -15 33 14.5 87555 304 Cf9761 2004 05 27.34074 22 12 44.22 -11 18 36.9 21.5R 87555 304 Ck8648 2004 05 27.37801 22 12 44.25 -11 18 36.5 87555 304 Ck8648 2004 12 13.252074 22 00 37.044 -12 08 11.97 21.3R 87555 568 Cm3239 2004 12 13.257770 22 00 37.085 -12 08 11.73 21.3R 87555 568 Cm3239 2004 12 13.263469 22 00 37.122 -12 08 11.55 21.2R 87555 568 Cm3239 2009 09 18.22100 23 06 45.11 -03 29 57.6 22.1R 87555 688 C~09l9 2009 09 18.27039 23 06 44.75 -03 29 59.7 87555 688 C~09l9
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 -0.31 0.00 -1.82 2 0.0002 0.00 0.13 0.00 -0.10 3 0.0057 0.00 0.16 0.00 -0.09 4 0.0082 0.00 0.19 0.00 -0.07 5 0.1043 0.00 0.03 0.00 -0.45 6 0.1045 0.00 0.52 0.00 -0.09 7 0.9831 0.00 -0.08 0.00 0.01 8 0.9833 0.00 0.13 0.00 -0.03 9 0.9886 0.00 -0.09 0.00 0.13 10 0.9888 0.00 -0.04 0.00 0.04 11 1.0491 0.00 -0.04 0.00 0.09 12 1.0492 0.00 0.05 0.00 0.13 13 1.0680 0.00 -0.05 0.00 -0.03 14 1.0683 0.00 0.14 0.00 0.02 15 1.8731 0.00 0.21 0.00 -0.14 16 1.8737 0.00 -1.29 0.00 0.36 17 1.8814 0.00 -0.11 0.00 0.61 18 1.8815 0.00 -0.12 0.00 0.65 19 1.8948 0.00 0.91 0.00 0.06 20 1.8956 0.00 0.94 0.00 -0.16 21 3.7544 0.00 0.14 0.00 0.10 22 3.7545 0.00 -0.19 0.00 0.02 23 4.3017 0.00 -0.05 0.00 -0.19 24 4.3018 0.00 0.00 0.00 -0.19 25 4.3018 0.00 -0.02 0.00 -0.24 26 9.0655 0.00 0.04 0.00 -0.06 27 9.0657 0.00 0.19 0.00 -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.
87555 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 34.770 34.771 34.770 ecceobj 0.561 0.561 0.561 incobj 6.792 6.792 6.792 qmin 14.982 15.182 14.309 qmax 55.065 55.060 55.262 amean 34.727 35.040 33.747 amin 34.053 34.864 32.561 amax 35.204 35.201 35.256 emean 0.562 0.563 0.560 emin 0.560 0.561 0.541 emax 0.565 0.566 0.573 imean 7.899 7.933 8.375 imin 7.810 7.897 6.118 imax 8.029 8.029 10.790 excite_mean 0.579 0.580 0.579 fracstop 0.001 0.001 0.028 cjmean 2.625 2.623 2.628 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 289.7 286.7 134.9 kozaiamp 5.6 2.8 178.8