Asteroid light inversion

Details Asteroid light inversion Asteroid light inversion

Sep 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cuni.reptr....o&link_type=abstract

Semiannual Status Report, 15 Feb. - 15 Aug. 1984 Cornell Univ., Ithaca, NY. Center for Radiophysics and Space Research.

Physics

Asteroids, Convexity, Error Analysis, Inversions, Light Curve, Circles (Geometry), Ellipsoids, Elongation, Fourier Analysis, Light Scattering

Scientific paper

The application of convex profile inversion (CPI) to the interpretation of asteroid lightcurves is discussed. This technique investigates the problem of extracting information about an asteroid's shape from its lightcurve. Whenever four ideal conditions are met, P is an estimator for the asteroids mean cross section C, a convex set defined as the average of all cross sections C(Z) cut by planes a distance z above the asteroids equatorial plane. C is therefore a 2-D average of the asteroids 3-D shape. The method is tested by inverting lightcurves generated analytically for geometrically scattered ellipsoids (GSE's) with semiaxes a or = B or = C. Using a defined 'distance measure' to quantify the difference between any two profiles, the deviation of P from C for GSE's as a function of lightcurve noise level, rotation phase sampling interval delta theta, and departure from ideal conditions is calibrated. The distance between P and a circle provides a gauge of the asteroid's nonsphericity and incorporates all the information contained in the lightcurve.

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