Abstract

A three-dimensional matrix method is proposed in this paper for Global Navigation Satellite System (GNSS) constellation Intrasatellite Link (ISL) topological design. The rows and columns of proposed matrix contain the information of both constellation orbit planes and satellites in each orbit plane. The third dimension of proposed matrix represents the time sequences during constellation movement. The proposed method has virtues of better advantage of conceptual clarity and computational efficiency, meanwhile, some properties of ISLs in the constellation can be proved easily. At the second part of this paper, a link assignment and optimal routing problem is proposed using three-dimensional topology matrixes, which aimed to minimize the relay hops during the process of data uploading to whole constellation network. Moreover, some practical constrains as antenna beam coverage and relative velocity are considered and analyzed in detail. Finally, some numerical simulations are provided, and the results demonstrated the promising performance of proposed topological method in reduction of computation burden, clear ISL conception, and so forth; the efficiency of provided optimal ISL routing problem is also proved.

Highlights

  • With the rapid progress in Global Navigation Satellite System (GNSS) technology, it is feasible and necessary to build Intrasatellite Link (ISL) network to increase system functions as communications and range measurements

  • In a series of literatures of Werner, “LEONET,” a Medium Earth Orbit (MEO) satellite constellation has been taken as an example, which is on the basis of proposed topology method

  • Chang et al [6] proposed a graphical method for ISL topology design for a Low Earth Orbit (LEO) communication satellite constellation, and a two-step optimized search routing algorithm was given for global data relay and transmission

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Summary

Introduction

With the rapid progress in GNSS technology, it is feasible and necessary to build ISL network to increase system functions as communications and range measurements. Chang et al [6] proposed a graphical method for ISL topology design for a Low Earth Orbit (LEO) communication satellite constellation, and a two-step optimized search routing algorithm was given for global data relay and transmission. In the literature [7], Suzuki et al considered the use of two-dimensional matrix for ISL topological, while the matrix rows are used for different orbit planes and the matrix columns are used to represent each satellite in corresponding orbit plane. This method has significantly simplified the ISL analyzed and was adopted by some other researchers [8].

Matrix Model
ISL for orbit plane 3 6 ISL for orbit plane 1 and 3
Some Characteristics of ISL Matrix
Conclusion
11 ISLs connection for each pair orbit 11 combination for each pair orbit
Some Applications
Simulation of Optimal Routing Problem
Findings
Conclusions
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