Photometric functions for photoclinometry and other applications

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Photometry, Limb Brightening, Photogrammetry, Planetary Surfaces, Root-Mean-Square Errors, Surface Properties, Surface Roughness

Scientific paper

The simpler Minnaert and lunar-Lambert functions, which are needed to reduce the number of unknown parameters in photoclinometry, are presently given least-squares fits to the brightness profiles across a disk, or 'limb darkening', described by Hapke's photometric function. The variation of limb darkening with single-scattering albedo and the particle-phase function's asymmetry factor are reduced of eliminated when the Hapke parameters are in the range representative of most planetary surfaces, thereby simplifying the problem of photoclinometry across terrains with variable surface materials.

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