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

الملخص EN

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.