Asteroid shapes from radar echo spectra - A new theoretical approach

Statistics – Computation

Scientific paper

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Asteroid Belts, Light Curve, Radar Echoes, Radar Targets, Computational Astrophysics, Least Squares Method, Spectral Resolution, Asteroids, Shape, Spectra, Radar Methods, Theoretical Studies, Geometry, Rotation, Technique, Diagrams, Parameters, Calculations, Procedure

Scientific paper

Asteroid shape determinations are presently made by means of a novel technique based on the geometric relation between spectral edge frequencies and the shape of a rotating, rigid radar target. By employing the echo spectra obtained at many rotational phases, the asteroid's convex polar silhouette hull is obtained; noise content is treated as a problem in weighted-least-squares optimization, subject to inequality constraints. The performance of this estimation method is assessed in a series of simulated data giving attention to spectral noise propagation into hull error; sensitivity to echo strength and spectral resolution are also evaluated.

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