Abstract

A method is presented for determining the time variation of the photometric flux density received in the far field by diffuse Lambert reflection from the surfaces of rotating objects of different shapes. The surfaces discussed are restricted to the class of convex quadric surfaces which can be identified with coordinate surfaces of systems of orthogonal, curvilinear coordinates in euclidean 3-space. The relative motion between the object and observer, and object and source is described by rotation with three degrees of freedom. Formulas permitting calculation of the received flux density by routine substitution are presented. The results for some of the more general quadric surfaces can be obtained by simple extension of the results for conical surfaces.

© 1968 Optical Society of America

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