Judgement Theorems and an Approach for Solving the Constellation-to-Ground Coverage Problem

Zhiming Song, Xiangyun Hu, Maocai Wang and Guangming Dai

Mathematical Problems in Engineering, 2018, vol. 2018, 1-10

Abstract:

The satellite constellation-to-ground coverage problem is a basic and important problem in satellite applications. A group of judgement theorems is given, and a novel approach based on these judgement theorems for judging whether a constellation can offer complete single or multiple coverage of a ground region is proposed. From the point view of mathematics, the constellation-to-ground coverage problem can be regarded as a problem entailing the intersection of spherical regions. Four judgement theorems that can translate the coverage problem into a judgement about the state of a group of ground points are proposed, thus allowing the problem to be efficiently solved. Single- and multiple-coverage problems are simulated, and the results show that this approach is correct and effective.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5097324

DOI: 10.1155/2018/5097324

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