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: 96RX33 # Created Fri Nov 22 02:07:54 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 9 observations of 9 # Arc: 13.08d # First observation: 1996/09/08 # Last observation: 1996/09/21 # Chi-squared of fit: 72.15 DOF: 12 RMS: 0.50 # Min/Max residuals: -1.00 0.70 # Exact a, adot, b, bdot, g, gdot: 2.361339E-05 9.163939E-02 -6.033706E-06 -1.350297E-02 5.634686E-02 -3.989790E-03 # Covariance matrix: 8.8792E-12 3.2033E-08 2.5287E-13 -2.3041E-10 5.1207E-09 -4.7983E-08 3.2033E-08 1.2231E-04 9.6145E-10 -8.7612E-07 1.9532E-05 -1.9055E-04 2.5287E-13 9.6145E-10 4.6115E-13 -2.1512E-11 1.5363E-10 -1.4324E-09 -2.3041E-10 -8.7612E-07 -2.1512E-11 7.0352E-09 -1.4000E-07 1.3066E-06 5.1207E-09 1.9532E-05 1.5363E-10 -1.4000E-07 3.1195E-06 -3.0242E-05 -4.7983E-08 -1.9055E-04 -1.4324E-09 1.3066E-06 -3.0242E-05 4.3214E-04 # lat0 lon0 xBary yBary zBary JD0 -3.465373 -14.403144 -0.010973 -0.060627 -0.998652 2450334.770840 # Heliocentric elements and errors Epoch: 2450334.5000 = 1996/09/08 Mean Anomaly: 354.40533 +/- 2.563 Argument of Peri: 212.15639 +/- 12.145 Long of Asc Node: 144.34621 +/- 2.037 Inclination: 8.97623 +/- 0.497 Eccentricity: 0.29212926 +/- 0.2950 Semi-Major Axis: 26.38884296 +/- 1849.2745 Time of Perihelion: 2451103.9867 +/- 5123880.5 Perihelion: 18.67988968 +/- 1309.0705 Aphelion: 34.09779623 +/- 2389.5144 Period (y) 135.5622 +/- 14249.87 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 18.13528687 +/- 0.4537 Ecliptic Y -4.65089017 +/- 0.1166 Ecliptic Z -1.07281295 +/- 0.0284 Ecliptic XDOT 0.00088857 +/- 0.0008 Ecliptic YDOT 0.00437517 +/- 0.0005 Ecliptic ZDOT -0.00064337 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 18.75289466 +/- 0.4397 Geocenter to KBO 17.74726929 +/- 0.4693 # Hcoef: 9.33
The following table shows the complete astrometric record for 96RX33. 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 (96RX33) followed by the observatory code and reference code for the source of the astrometry.
1996 09 08.27012 23 12 23.73 -08 52 17.8 22.2V 96RX33 691 Cb7379 1996 09 08.29122 23 12 23.51 -08 52 19.9 22.1V 96RX33 691 Cb7379 1996 09 08.31322 23 12 23.31 -08 52 20.9 22.5V 96RX33 691 Cb7379 1996 09 17.23908 23 11 03.98 -09 01 41.4 21.7V 96RX33 691 Cb7379 1996 09 17.26449 23 11 03.82 -09 01 43.2 21.9V 96RX33 691 Cb7379 1996 09 17.29676 23 11 03.52 -09 01 44.7 22.4V 96RX33 691 Cb7379 1996 09 21.30984 23 10 28.46 -09 05 44.5 21.5V 96RX33 691 Cb7379 1996 09 21.33110 23 10 28.32 -09 05 46.0 22.0V 96RX33 691 Cb7379 1996 09 21.35224 23 10 28.12 -09 05 47.3 22.0V 96RX33 691 Cb7379
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 0.22 0.00 0.60
2 0.0001 0.00 -0.20 0.00 -0.15
3 0.0001 0.00 -0.20 0.00 0.25
4 0.0246 0.00 -0.48 0.00 -0.75
5 0.0246 0.00 0.54 0.00 -1.00
6 0.0247 0.00 0.38 0.00 -0.53
7 0.0357 0.00 -0.52 0.00 0.70
8 0.0358 0.00 0.19 0.00 0.46
9 0.0358 0.00 -0.02 0.00 0.40
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.
96RX33 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 26.434 26.434 26.433 ecceobj 0.293 0.293 0.293 incobj 8.980 8.980 8.980 qmin 18.167 18.331 15.885 qmax 34.503 34.506 34.500 amean 26.179 26.300 25.022 amin 25.672 25.975 24.077 amax 26.568 26.568 26.568 emean 0.294 0.295 0.319 emin 0.287 0.287 0.287 emax 0.301 0.301 0.342 imean 7.837 7.860 7.156 imin 7.669 7.669 5.705 imax 8.128 8.038 8.455 excite_mean 0.324 0.325 0.343 fracstop 0.002 0.002 0.008 cjmean 2.918 2.916 2.918 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 214.1 213.4 246.4 kozaiamp 2.7 1.9 47.3