Numerical modeling of the shadow effect for statistically rough planetary surfaces

Mathematics – Probability

Scientific paper

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Normal Density Functions, Planetary Surfaces, Surface Roughness, Computerized Simulation, Random Processes, Statistical Correlation

Scientific paper

Shadow functions of randomly rough surfaces with Gaussian and fractal statistics are studied by computer modeling. When the rms slope of the Gaussian surface equals unity and the fractal surface has a unitary topothesy, their shadow functions coincide within the framework of the computer experiment's accuracy. The latitudinal and longitudinal dependences of shadow probability as well as the integral phase function are calculated. A method of generating surfaces with an 'air castle' type structure for calculating the shadow effect in the single-scattering approximation is described.

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