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: 10HG109 # Created Sat Apr 27 01:13:20 2024 # Orbit generated from Bernstein formalism # Fitting 6 observations of 6 # Arc: 48.82d # First observation: 2010/04/21 # Last observation: 2010/06/09 # WARNING Fitting with energy constraint # WARNING and with gdot fixed = 0 # Chi-squared of fit: 1.62 DOF: 8 RMS: 0.09 # Min/Max residuals: -0.20 0.16 # Exact a, adot, b, bdot, g, gdot: 1.516435E-05 3.083788E-02 -1.001737E-05 -2.071463E-02 3.270791E-02 0.000000E+00 # Covariance matrix: 9.1628E-11 1.9042E-07 4.8448E-13 -2.0424E-10 3.1554E-08 0.0000E+00 1.9042E-07 3.9785E-04 1.0122E-09 -4.2672E-07 6.5925E-05 0.0000E+00 4.8448E-13 1.0122E-09 4.8998E-13 -4.7389E-12 1.6773E-10 0.0000E+00 -2.0424E-10 -4.2672E-07 -4.7389E-12 5.1275E-10 -7.0710E-08 0.0000E+00 3.1554E-08 6.5925E-05 1.6773E-10 -7.0710E-08 1.0924E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 4.6045E-04 # lat0 lon0 xBary yBary zBary JD0 -2.153736 -127.745982 0.370585 -0.035214 -0.935873 2455307.749526 # Heliocentric elements and errors Epoch: 2455300.5000 = 2010/04/14 Mean Anomaly: 337.72115 +/- 313.098 Argument of Peri: 207.37913 +/- 20.230 Long of Asc Node: 48.48714 +/- 2.055 Inclination: 33.99960 +/- 17.107 Eccentricity: 0.03110513 +/- 0.6057 Semi-Major Axis: 32.44029922 +/- 17.1565 Time of Perihelion: 2459477.0342 +/- 193642.7 Perihelion: 31.43123946 +/- 25.7375 Aphelion: 33.44935897 +/- 26.4394 Period (y) 184.7717 +/- 146.58 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -19.56474710 +/- 1.8901 Ecliptic Y -24.67475038 +/- 2.4411 Ecliptic Z -1.14928451 +/- 0.1161 Ecliptic XDOT 0.00208293 +/- 0.0016 Ecliptic YDOT -0.00152273 +/- 0.0017 Ecliptic ZDOT -0.00173276 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 31.51100586 +/- 2.2430 Geocenter to KBO 30.57364086 +/- 3.0895 # Hcoef: 7.21
The following table shows the complete astrometric record for 10HG109. 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 (10HG109) followed by the observatory code and reference code for the source of the astrometry.
2010 04 21.24876 15 17 00.715 -20 24 48.62 21.9R 10HG109 304 C~0Jan 2010 04 21.29638 15 17 00.406 -20 24 48.05 22.0R 10HG109 304 C~0Jan 2010 04 21.39268 15 16 59.790 -20 24 47.21 21.9R 10HG109 304 C~0Jan 2010 06 09.01768 15 11 35.653 -20 13 43.67 21.6R 10HG109 807 C~0Jan 2010 06 09.04240 15 11 35.495 -20 13 43.24 10HG109 807 C~0Jan 2010 06 09.06569 15 11 35.336 -20 13 42.93 10HG109 807 C~0Jan
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 -0.05 0.00 0.00
2 0.0001 -4.34 -0.06 -0.58 0.07
3 0.0004 -12.92 0.11 -2.02 -0.07
4 0.1335 -4586.66 0.16 -564.86 -0.03
5 0.1336 -4588.92 0.03 -565.04 0.05
6 0.1337 -4591.16 -0.20 -565.34 -0.02
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.
10HG109 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0