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: 98WZ24 # Created Tue Dec 31 02:07:54 2024 # Orbit generated from Bernstein formalism # Fitting 6 observations of 6 # Arc: 64.91d # First observation: 1998/11/18 # Last observation: 1999/01/22 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.073625 0.000001 0.002921 0.037638 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 2.46 DOF: 7 RMS: 0.11 # Min/Max residuals: -0.20 0.15 # Exact a, adot, b, bdot, g, gdot: 1.968147E-05 4.045707E-02 7.442770E-07 2.985004E-03 3.216487E-02 -9.237255E-03 # Covariance matrix: 1.0116E-11 1.8807E-08 7.0352E-13 -4.0183E-11 3.0720E-09 -2.9144E-08 1.8807E-08 3.7714E-05 1.4214E-09 -8.1940E-08 6.1479E-06 -6.0892E-05 7.0352E-13 1.4214E-09 4.6879E-13 -5.6862E-12 2.3161E-10 -2.3155E-09 -4.0183E-11 -8.1940E-08 -5.6862E-12 2.1894E-10 -1.3345E-08 1.3492E-07 3.0720E-09 6.1479E-06 2.3161E-10 -1.3345E-08 1.0023E-06 -9.9043E-06 -2.9144E-08 -6.0892E-05 -2.3155E-09 1.3492E-07 -9.9043E-06 1.0301E-04 # lat0 lon0 xBary yBary zBary JD0 -0.326397 76.907377 0.345973 -0.005477 -0.921649 2451135.943681 # Heliocentric elements and errors Epoch: 2451130.5000 = 1998/11/13 Mean Anomaly: 341.26983 +/- 17.328 Argument of Peri: 42.52464 +/- 7.884 Long of Asc Node: 80.55503 +/- 0.631 Inclination: 4.23810 +/- 0.644 Eccentricity: 0.41708060 +/- 0.4265 Semi-Major Axis: 49.81855885 +/- 30.0929 Time of Perihelion: 2457812.7759 +/- 1248.8 Perihelion: 29.04020467 +/- 27.5528 Aphelion: 70.59691302 +/- 47.6441 Period (y) 351.6373 +/- 318.61 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 7.59608530 +/- 0.2193 Ecliptic Y 31.09993588 +/- 0.9425 Ecliptic Z -0.17707923 +/- 0.0055 Ecliptic XDOT -0.00353253 +/- 0.0006 Ecliptic YDOT 0.00002478 +/- 0.0007 Ecliptic ZDOT 0.00025853 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.01465103 +/- 0.9171 Geocenter to KBO 31.08982298 +/- 0.9677 # Hcoef: 8.18
The following table shows the complete astrometric record for 98WZ24. 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 (98WZ24) followed by the observatory code and reference code for the source of the astrometry.
1998 11 18.44295 05 03 14.47 +22 28 13.0 22.5R 98WZ24 695 Ca3208 1998 11 18.51422 05 03 14.02 +22 28 12.4 98WZ24 695 Ca3208 1998 11 26.35372 05 02 24.38 +22 27 16.2 22.8R 98WZ24 695 Ca3208 1998 11 26.49056 05 02 23.47 +22 27 15.0 98WZ24 695 Ca3208 1999 01 22.29999 04 56 42.94 +22 20 48.9 23.4R 98WZ24 568 Ca5545 1999 01 22.35412 04 56 42.73 +22 20 48.8 98WZ24 568 Ca5545
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 0.04 0.00 0.15
2 0.0002 -6.27 -0.05 0.01 0.08
3 0.0217 -696.57 0.07 11.66 -0.06
4 0.0220 -709.24 -0.06 11.71 -0.20
5 0.1776 -5447.59 -0.14 117.06 -0.03
6 0.1777 -5450.50 0.14 117.28 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.