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: 10RG43 # Created Wed Nov 27 02:09:05 2024 # Orbit generated from Bernstein formalism # Fitting 6 observations of 6 # Arc: 1.20d # First observation: 2010/09/06 # Last observation: 2010/09/07 # WARNING Fitting with energy constraint # WARNING and with gdot fixed = 0 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 5.77 DOF: 8 RMS: 0.17 # Min/Max residuals: -0.26 0.24 # Exact a, adot, b, bdot, g, gdot: 1.333646E-05 5.637360E-02 1.202998E-05 5.351455E-02 6.764866E-02 0.000000E+00 # Covariance matrix: -1.8863E-10 -8.0203E-07 5.7445E-12 2.3924E-08 -1.2871E-07 0.0000E+00 -8.0203E-07 -3.3999E-03 2.4357E-08 1.0144E-04 -5.4576E-04 0.0000E+00 5.7445E-12 2.4357E-08 3.0670E-13 -8.8827E-10 3.9098E-09 0.0000E+00 2.3924E-08 1.0144E-04 -8.8827E-10 -2.9161E-06 1.6283E-05 0.0000E+00 -1.2871E-07 -5.4576E-04 3.9098E-09 1.6283E-05 -8.7605E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 4.0738E-03 # lat0 lon0 xBary yBary zBary JD0 -32.965525 -18.289062 -0.028842 -0.545913 -0.841730 2455445.690596 # Heliocentric elements and errors Epoch: 2455440.5000 = 2010/09/01 Mean Anomaly: 175.93428 +/- 267.760 Argument of Peri: 140.49781 +/- 48.986 Long of Asc Node: 10.31924 +/- 10.319 Inclination: 51.51067 +/- 51.511 Eccentricity: 0.47624320 +/- 0.4762 Semi-Major Axis: 10.59634403 +/- 10.5963 Time of Perihelion: 2461882.2357 +/- 1585.1 Perihelion: 5.54990726 +/- 7.5012 Aphelion: 15.64278081 +/- 16.4366 Period (y) 34.4939 +/- 51.74 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 12.74176992 +/- 12.7418 Ecliptic Y -4.18071548 +/- -4.1807 Ecliptic Z -8.04339479 +/- -8.0434 Ecliptic XDOT 0.00183549 +/- 0.0020 Ecliptic YDOT 0.00180279 +/- 0.0018 Ecliptic ZDOT 0.00181710 +/- 0.0014 # Distances at JD0 (AU) Heliocenter to KBO 15.63736814 +/- 11.2321 Geocenter to KBO 14.78225864 +/- 14.7823 # Hcoef: 9.04
The following table shows the complete astrometric record for 10RG43. 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 (10RG43) followed by the observatory code and reference code for the source of the astrometry.
2010 09 06.18983 23 52 46.582 -37 09 15.33 20.7R 10RG43 809 C~0MhM 2010 09 06.26735 23 52 45.264 -37 09 20.59 21.0R 10RG43 809 C~0MhM 2010 09 06.34809 23 52 43.945 -37 09 25.81 20.7R 10RG43 809 C~0MhM 2010 09 07.29316 23 52 28.198 -37 10 26.79 20.5R 10RG43 809 C~0MhM 2010 09 07.36771 23 52 26.946 -37 10 31.94 20.7R 10RG43 809 C~0MhM 2010 09 07.39124 23 52 26.528 -37 10 33.16 20.6R 10RG43 809 C~0MhM
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 -0.03 0.00 0.10
2 0.0002 -16.37 -0.20 2.83 0.04
3 0.0004 -32.73 0.24 5.71 -0.17
4 0.0030 -227.39 0.13 41.12 0.22
5 0.0032 -243.01 -0.01 43.66 -0.26
6 0.0033 -247.99 -0.13 44.95 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.
10RG43 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