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: 96AS20 # Created Fri Apr 19 01:09:33 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 13.16d # First observation: 1996/01/14 # Last observation: 1996/01/27 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.143004 -0.000003 0.018303 0.071030 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 41.05 DOF: 19 RMS: 0.33 # Min/Max residuals: -0.49 1.04 # Exact a, adot, b, bdot, g, gdot: 2.848630E-05 1.254146E-01 4.858204E-07 1.736269E-02 6.792306E-02 3.730836E-02 # Covariance matrix: 1.5029E-12 5.4454E-09 2.1822E-13 2.8746E-10 9.4418E-10 2.3649E-08 5.4454E-09 2.3656E-05 9.4471E-10 1.2449E-06 4.0869E-06 9.6841E-05 2.1822E-13 9.4471E-10 2.6203E-13 4.2267E-11 1.6326E-10 3.8951E-09 2.8746E-10 1.2449E-06 4.2267E-11 6.6071E-08 2.1512E-07 5.1266E-06 9.4418E-10 4.0869E-06 1.6326E-10 2.1512E-07 7.0627E-07 1.6860E-05 2.3649E-08 9.6841E-05 3.8951E-09 5.1266E-06 1.6860E-05 4.7759E-04 # lat0 lon0 xBary yBary zBary JD0 -8.135397 139.375009 0.433872 -0.126300 -0.882891 2450096.757050 # Heliocentric elements and errors Epoch: 2450090.5000 = 1996/01/08 Mean Anomaly: 11.76579 +/- 6.554 Argument of Peri: 270.55752 +/- 15.008 Long of Asc Node: 183.27583 +/- 1.090 Inclination: 10.69706 +/- 0.206 Eccentricity: 0.53760417 +/- 0.2105 Semi-Major Axis: 30.51411446 +/- 10.7935 Time of Perihelion: 2448078.3131 +/- 341.4 Perihelion: 14.10959926 +/- 8.1338 Aphelion: 46.91862967 +/- 17.7955 Period (y) 168.5619 +/- 89.44 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -11.45276267 +/- 0.1369 Ecliptic Y 10.39177079 +/- 0.1174 Ecliptic Z -2.08340845 +/- 0.0258 Ecliptic XDOT -0.00448918 +/- 0.0007 Ecliptic YDOT -0.00280114 +/- 0.0005 Ecliptic ZDOT 0.00047981 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 15.60433477 +/- 0.1273 Geocenter to KBO 14.72254107 +/- 0.1822 # Hcoef: 9.28
The following table shows the complete astrometric record for 96AS20. 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 (96AS20) followed by the observatory code and reference code for the source of the astrometry.
1996 01 14.25633 09 16 57.35 +07 16 13.6 21.5V 96AS20 691 Cc0653 1996 01 14.27724 09 16 57.10 +07 16 14.2 21.6V 96AS20 691 Cc0653 1996 01 14.29822 09 16 56.98 +07 16 14.3 21.3V 96AS20 691 Cc0653 1996 01 14.31218 09 16 56.76 +07 16 15.0 21.6V 96AS20 691 Cc0653 1996 01 14.33607 09 16 56.51 +07 16 15.8 21.3V 96AS20 691 Cc0653 1996 01 14.35703 09 16 56.31 +07 16 16.9 21.2V 96AS20 691 Cc0653 1996 01 21.28346 09 15 46.77 +07 21 21.8 21.2V 96AS20 691 Cc0653 1996 01 21.31289 09 15 46.45 +07 21 23.2 21.2V 96AS20 691 Cc0653 1996 01 21.33401 09 15 46.23 +07 21 24.2 21.5V 96AS20 691 Cc0653 1996 01 27.37818 09 14 42.21 +07 26 28.9 20.9V 96AS20 691 Cc0653 1996 01 27.39928 09 14 41.97 +07 26 30.0 21.1V 96AS20 691 Cc0653 1996 01 27.42035 09 14 41.75 +07 26 31.3 20.8V 96AS20 691 Cc0653
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 0.15 0.00 0.73
2 0.0001 -3.73 -0.41 -0.56 0.30
3 0.0001 -5.46 1.04 -1.01 -0.02
4 0.0002 -8.79 -0.16 -1.34 -0.27
5 0.0002 -12.58 -0.32 -1.71 -0.49
6 0.0003 -15.74 -0.29 -1.57 -0.22
7 0.0192 -1094.09 0.06 -25.66 -0.00
8 0.0193 -1099.05 -0.07 -25.78 -0.05
9 0.0194 -1102.47 -0.01 -25.82 -0.04
10 0.0359 -2102.40 0.05 -24.45 -0.02
11 0.0360 -2106.13 -0.07 -24.49 -0.08
12 0.0360 -2109.65 0.03 -24.24 0.15
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.
96AS20 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