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: 99HH12 # Created Mon Nov 23 02:36:40 2009 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 2.97y # First observation: 1999/04/18 # Last observation: 2002/04/08 Preliminary a, adot, b, bdot, g, gdot: 0.000061 0.021850 -0.000004 0.000315 0.023316 0.000000 # Chi-squared of fit: 40.73 DOF: 22 RMS: 0.30 # Min/Max residuals: -0.91 0.56 # Exact a, adot, b, bdot, g, gdot: 1.256473E-05 2.183645E-02 1.259462E-06 3.147776E-04 2.321052E-02 -3.913576E-04 # Covariance matrix: 4.9174E-13 1.8035E-13 -5.3448E-15 5.7527E-15 7.2779E-13 5.6157E-12 1.8035E-13 1.4305E-12 -1.3023E-14 2.2785E-14 1.5429E-12 2.2988E-11 -5.3448E-15 -1.3023E-14 2.1040E-13 -9.5012E-14 -1.9850E-14 -2.3356E-13 5.7527E-15 2.2785E-14 -9.5012E-14 8.6800E-14 2.8147E-14 3.9410E-13 7.2779E-13 1.5429E-12 -1.9850E-14 2.8147E-14 2.5248E-12 2.8053E-11 5.6157E-12 2.2988E-11 -2.3356E-13 3.9410E-13 2.8053E-11 3.9685E-10 # lat0 lon0 xBary yBary zBary JD0 -1.027267 -154.741015 -0.040733 -0.018362 -1.010557 2451286.711463 # Heliocentric elements and errors Epoch: 2451280.5000 = 1999/04/12 Mean Anomaly: 225.48902 +/- 1.635 Argument of Peri: 86.07683 +/- 1.623 Long of Asc Node: 255.72547 +/- 0.026 Inclination: 1.30250 +/- 0.001 Eccentricity: 0.02505428 +/- 0.0006 Semi-Major Axis: 43.31289355 +/- 0.0092 Time of Perihelion: 2490183.1737 +/- 472.6 Perihelion: 42.22771999 +/- 0.0263 Aphelion: 44.39806711 +/- 0.0265 Period (y) 285.0585 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -39.84663768 +/- 0.0027 Ecliptic Y -18.84935510 +/- 0.0012 Ecliptic Z -0.77234370 +/- 0.0001 Ecliptic XDOT 0.00113780 +/- 0.0000 Ecliptic YDOT -0.00230132 +/- 0.0000 Ecliptic ZDOT 0.00003797 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.08683746 +/- 0.0025 Geocenter to KBO 43.08390300 +/- 0.0029 # Hcoef: 7.02
The following table shows the complete astrometric record for 99HH12. 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 (99HH12) followed by the observatory code and reference code for the source of the astrometry.
1999 04 18.21072 13 32 06.14 -10 43 43.0 23.9R 99HH12 695 Ca5574 1999 04 18.28462 13 32 05.73 -10 43 40.3 99HH12 695 Ca5574 1999 04 18.39041 13 32 05.35 -10 43 37.8 99HH12 695 Ca5574 1999 06 05.89245 13 29 06.30 -10 25 35.1 22.8R 99HH12 950 Ca5574 1999 06 05.95103 13 29 06.18 -10 25 34.3 99HH12 950 Ca5574 1999 06 06.01039 13 29 06.00 -10 25 32.8 99HH12 950 Ca5574 2000 06 27.97421 13 33 09.45 -10 47 25.7 99HH12 950 Cb6477 2000 06 28.01067 13 33 09.41 -10 47 25.4 99HH12 950 Cb6477 2000 06 28.93437 13 33 08.68 -10 47 19.7 99HH12 950 Cb6477 2000 06 28.96820 13 33 08.65 -10 47 19.2 99HH12 950 Cb6477 2000 06 28.99353 13 33 08.63 -10 47 19.3 99HH12 950 Cb6477 2002 04 07.17182 13 47 14.21 -12 06 08.3 22.6R 99HH12 807 Cf4290 2002 04 07.23610 13 47 13.94 -12 06 07.4 99HH12 807 Cf4290 2002 04 08.20735 13 47 09.72 -12 05 42.9 99HH12 807 Cf4290
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 0.48 0.00 -0.22 2 0.0002 -6.61 -0.91 0.30 0.10 3 0.0005 -12.74 0.44 0.58 0.39 4 0.1333 -2866.17 -0.10 37.97 -0.16 5 0.1334 -2868.12 0.35 38.06 -0.11 6 0.1336 -2871.14 -0.26 38.48 0.24 7 1.1958 949.77 0.04 133.95 -0.15 8 1.1959 949.11 -0.08 134.02 -0.13 9 1.1984 937.02 0.07 135.39 -0.14 10 1.1985 936.42 -0.06 135.70 0.12 11 1.1986 936.19 0.04 135.50 -0.12 12 2.9705 14258.90 -0.10 195.77 0.07 13 2.9706 14254.86 0.30 195.20 -0.46 14 2.9733 14187.98 -0.20 196.21 0.56
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.
99HH12 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.309 43.337 43.282 ecceobj 0.024 0.025 0.023 incobj 1.304 1.304 1.304 qmin 42.275 42.260 42.272 qmax 44.987 45.056 44.933 amean 43.624 43.653 43.594 amin 43.611 43.639 43.583 amax 43.631 43.660 43.603 emean 0.022 0.023 0.021 emin 0.011 0.012 0.010 emax 0.031 0.032 0.031 imean 3.110 3.109 3.111 imin 2.406 2.410 2.398 imax 3.762 3.752 3.771 excite_mean 0.059 0.059 0.058 fracstop 1.000 1.000 1.000 cjmean 3.093 3.093 3.093 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 183.2 182.9 183.7 kozaiamp 180.0 180.0 180.0