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: 03BH91 # Created Fri Nov 1 01:08:17 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 12.57d # First observation: 2003/01/27 # Last observation: 2003/02/08 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.023022 -0.000001 -0.000528 0.023545 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 5.15 DOF: 19 RMS: 0.12 # Min/Max residuals: -0.16 0.24 # Exact a, adot, b, bdot, g, gdot: 1.482391E-05 2.296730E-02 -1.096346E-06 -5.359830E-04 2.349220E-02 -1.444268E-03 # Covariance matrix: 3.2826E-13 -6.2868E-11 5.8949E-15 8.3677E-12 -5.1948E-11 -2.0862E-11 -6.2868E-11 4.2295E-08 -4.6640E-12 -6.4411E-09 4.0252E-08 3.9983E-07 5.8949E-15 -4.6640E-12 2.5924E-13 -8.3669E-12 -4.5084E-12 -4.1501E-10 8.3677E-12 -6.4411E-09 -8.3669E-12 1.6106E-09 -6.2153E-09 9.6863E-08 -5.1948E-11 4.0252E-08 -4.5084E-12 -6.2153E-09 3.8857E-08 4.0959E-07 -2.0862E-11 3.9983E-07 -4.1501E-10 9.6863E-08 4.0959E-07 1.4661E-03 # lat0 lon0 xBary yBary zBary JD0 1.464194 -146.335495 0.978281 0.001506 -0.058618 2452666.913163 # Heliocentric elements and errors Epoch: 2452660.5000 = 2003/01/21 Mean Anomaly: 298.46566 +/- 228.626 Argument of Peri: 202.84501 +/- 41.451 Long of Asc Node: 80.56098 +/- 2.401 Inclination: 1.95998 +/- 0.073 Eccentricity: 0.09029930 +/- 1.5966 Semi-Major Axis: 44.24515693 +/- 9.5282 Time of Perihelion: 2471034.8552 +/- 68009.9 Perihelion: 40.24985038 +/- 71.1734 Aphelion: 48.24046348 +/- 71.4034 Period (y) 294.3112 +/- 95.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -36.00941006 +/- 0.2972 Ecliptic Y -22.80272959 +/- 0.1979 Ecliptic Z 1.08763671 +/- 0.0091 Ecliptic XDOT 0.00161558 +/- 0.0037 Ecliptic YDOT -0.00213971 +/- 0.0025 Ecliptic ZDOT -0.00006655 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 42.63595951 +/- 0.2724 Geocenter to KBO 42.56732638 +/- 0.3572 # Hcoef: 11.82
The following table shows the complete astrometric record for 03BH91. 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 (03BH91) followed by the observatory code and reference code for the source of the astrometry.
2003 01 27.41242 14 07 44.268 -11 21 38.26 28.3V 03BH91 250 Si2704 2003 01 27.50045 14 07 44.297 -11 21 38.51 03BH91 250 Si2704 2003 01 27.87434 14 07 44.535 -11 21 38.70 03BH91 250 Si2704 2003 01 27.96832 14 07 44.562 -11 21 38.98 03BH91 250 Si2704 2003 01 30.22560 14 07 45.561 -11 21 39.74 03BH91 250 Si2704 2003 01 30.50364 14 07 45.637 -11 21 39.65 03BH91 250 Si2704 2003 01 30.62941 14 07 45.682 -11 21 39.63 03BH91 250 Si2704 2003 02 06.96981 14 07 45.288 -11 21 23.22 03BH91 250 Si2704 2003 02 07.23020 14 07 45.191 -11 21 22.18 03BH91 250 Si2704 2003 02 08.64384 14 07 44.489 -11 21 15.73 03BH91 250 Si2704 2003 02 08.95229 14 07 44.342 -11 21 14.26 03BH91 250 Si2704 2003 02 08.97850 14 07 44.299 -11 21 14.07 03BH91 250 Si2704
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 0.13 0.00 0.15 2 0.0002 0.49 -0.14 -0.09 -0.10 3 0.0013 3.84 0.14 0.91 0.21 4 0.0015 4.31 -0.13 0.78 -0.10 5 0.0077 18.40 0.07 5.03 -0.03 6 0.0085 19.42 -0.10 5.49 -0.08 7 0.0088 20.04 0.01 5.73 -0.07 8 0.0289 9.04 -0.03 19.22 -0.06 9 0.0296 7.35 0.11 19.72 -0.03 10 0.0335 -4.55 -0.15 22.30 0.00 11 0.0343 -7.08 0.24 22.96 0.10 12 0.0344 -7.74 -0.16 22.92 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.
03BH91 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