Partial Covering of a Sphere with Random Number of Spherical Caps

Gronek, Tomasz; Schmeidel, Ewa

doi:10.2478/tmmp-2013-0006

Abstract

In this paper we study sphere coverage issue. A sphere of radius one in a 3-dimensional Euclidean space is given. We consider random location of N spherical caps on a sphere, assuming that N is a discrete stochastic variable with a Poisson distribution. Using suitable difference equation, the expected area of the covered region is investigated.

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Partial Covering of a Sphere with Random Number of Spherical Caps

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