The Shape of Eros
S. J. Ostro, K. D. Rosema, and
R. F. Jurgens
Jet Propulsion Laboratory,
California Institude of Technology, Pasadena, California 91109
Icarus 84,
334-351 (1990)
Abstract
The convex hull of Eros' polar silhouette, estimated from radar
echo spectra obtained in 1975 by R. F. Jurgens and R. M. Goldstein
(1976, Icarus 28, 1-15), provides new information about
this asteroid's shape. Monte Carlo simulations are used to optimize
the estimation, to explore the nature and severity of associated
errors, and to guide bias-correction procedures. Eros' hull is shaped
like a rounded trapezoid, whose long and short bases faced Earth
during epochs of primary and secondary maxima, respectively, in the
January 1975 optical lightcurves. The nonaxisymmetric shape helps to
explain odd harmonics in Eros' echo spectral signature as a function
of rotation phase, whose presence cannot be accounted for by
homogeneous ellipsoid models. The extreme breadths of Eros' polar
silhouette are within a few kilometers of 35 and 16 km. Additional
constraints on Eros' figure are obtained by inverting an optical
lightcurve to estimate the asteroid's "mean cross section," which is a
two-dimensional average of the three-dimensional shape. Eros' mean
cross section and polar silhouette have similar elongations. The hull
estimate permits previously reported radar time-delay and
Doppler-frequency measurements to be referenced directly to Eros'
center of mass.
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