judgement theorems and an approach for solving the constellation-to-ground coverage problem
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2018
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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.
| Reference Key |
song2018mathematicaljudgement
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|---|---|
| Authors | ;Zhiming Song;Xiangyun Hu;Maocai Wang;Guangming Dai |
| Journal | journal of power sources |
| Year | 2018 |
| DOI |
10.1155/2018/5097324
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| URL | |
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