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: 03BF91 # Created Fri Nov 1 01:08:17 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 12.74d # First observation: 2003/01/27 # Last observation: 2003/02/08 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.023290 -0.000000 -0.000126 0.023875 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 2.69 DOF: 15 RMS: 0.09 # Min/Max residuals: -0.20 0.21 # Exact a, adot, b, bdot, g, gdot: 1.548335E-05 2.323624E-02 -8.219355E-08 -1.380706E-04 2.382531E-02 9.730738E-04 # Covariance matrix: 5.6647E-13 -1.0332E-10 1.0237E-14 1.3966E-11 -8.7881E-11 -9.1924E-10 -1.0332E-10 4.6595E-08 -5.6336E-12 -6.9833E-09 4.4796E-08 1.4969E-06 1.0237E-14 -5.6336E-12 3.9029E-13 -1.2704E-11 -5.4994E-12 -1.7730E-09 1.3966E-11 -6.9833E-09 -1.2704E-11 1.8662E-09 -6.8223E-09 2.9288E-07 -8.7881E-11 4.4796E-08 -5.4994E-12 -6.8223E-09 4.3757E-08 1.4537E-06 -9.1924E-10 1.4969E-06 -1.7730E-09 2.9288E-07 1.4537E-06 3.9827E-03 # lat0 lon0 xBary yBary zBary JD0 1.454979 -146.272270 0.978603 0.001331 -0.052117 2452666.602243 # Heliocentric elements and errors Epoch: 2452660.5000 = 2003/01/21 Mean Anomaly: 54.45597 +/- 256.686 Argument of Peri: 44.95232 +/- 189.552 Long of Asc Node: 110.47954 +/- 4.164 Inclination: 1.48475 +/- 0.023 Eccentricity: 0.02603758 +/- 2.3774 Semi-Major Axis: 42.66025724 +/- 10.6455 Time of Perihelion: 2437265.6083 +/- 784957.5 Perihelion: 41.54948720 +/- 101.9511 Aphelion: 43.77102728 +/- 102.0090 Period (y) 278.6400 +/- 104.30 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -35.48430532 +/- 0.3064 Ecliptic Y -22.50833388 +/- 0.2046 Ecliptic Z 1.06572346 +/- 0.0094 Ecliptic XDOT 0.00138239 +/- 0.0060 Ecliptic YDOT -0.00228732 +/- 0.0040 Ecliptic ZDOT -0.00001282 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 42.03447139 +/- 0.2809 Geocenter to KBO 41.97217767 +/- 0.3685 # Hcoef: 11.68
The following table shows the complete astrometric record for 03BF91. 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 (03BF91) followed by the observatory code and reference code for the source of the astrometry.
2003 01 27.10150 14 07 58.071 -11 23 26.30 28.1V 03BF91 250 Si2704 2003 01 27.29986 14 07 58.198 -11 23 26.53 03BF91 250 Si2704 2003 01 29.89710 14 07 59.495 -11 23 27.59 03BF91 250 Si2704 2003 01 30.02731 14 07 59.547 -11 23 27.55 03BF91 250 Si2704 2003 01 30.43484 14 07 59.677 -11 23 27.37 03BF91 250 Si2704 2003 02 06.81669 14 07 59.487 -11 23 09.91 03BF91 250 Si2704 2003 02 07.04522 14 07 59.369 -11 23 08.91 03BF91 250 Si2704 2003 02 08.44019 14 07 58.724 -11 23 02.52 03BF91 250 Si2704 2003 02 08.75816 14 07 58.571 -11 23 00.97 03BF91 250 Si2704 2003 02 08.83849 14 07 58.508 -11 23 00.53 03BF91 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 -0.01 0.00 -0.00 2 0.0005 1.84 0.01 0.41 -0.00 3 0.0077 20.15 0.01 5.85 -0.01 4 0.0080 20.85 0.06 6.15 0.02 5 0.0091 22.59 -0.08 6.96 -0.02 6 0.0293 14.07 0.21 22.46 0.12 7 0.0300 12.10 -0.20 22.81 0.00 8 0.0338 1.01 -0.12 25.63 -0.05 9 0.0347 -1.63 0.18 26.33 0.00 10 0.0349 -2.65 -0.07 26.43 -0.06
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.
03BF91 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