Abstract

The paper deals with the navigation data exchange between two satellites moving in a swarm. It is focused on the reduction of the inter-satellite demanded communication channel capacity taking into account the dynamics of the satellites relative motion and possible erasures in the channel navigation data. The feedback control law is designed ensuring the regulation of the relative satellites motion. The adaptive binary coding/decoding procedure for the satellites navigation data transmission over the limited capacity communication channel is proposed and studied for the cases of ideal and erasure channels. Results of the numerical study of the closed-loop system performance and accuracy of the data transmission algorithm on the communication channel bitrate and erasure probability are obtained by extensive simulations. It is shown that both data transmission error and regulation time depend approximately inversely proportionally on the communication rate. In addition the erasure of data in the channel with probability up to 0.3 does not influence the regulation time for sufficiently high data transmission rate.

Highlights

  • IntroductionThere has been a growing interest in using the differential force (i.e., the difference between the aerodynamic drag forces applied to the satellites) to eliminate the relative drift between the satellites in a swarm moving in a group (without the mandatory requirement to maintain relative position, cf. [1,2,3])

  • There has been a growing interest in using the differential force to eliminate the relative drift between the satellites in a swarm moving in a group

  • The orbit of the leader is considered as a reference, whilst the relative orbits of the followers are considered to be the Projected Circular Orbit (PCO), which is the relative orbit between the master and slave satellites, Electronics 2020, 9, 2032; doi:10.3390/electronics9122032

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Summary

Introduction

There has been a growing interest in using the differential force (i.e., the difference between the aerodynamic drag forces applied to the satellites) to eliminate the relative drift between the satellites in a swarm moving in a group (without the mandatory requirement to maintain relative position, cf. [1,2,3]). In [21], communication constraints were taken into account in the sense of the radio signal fading with increasing the inter-satellite distance This leads to the space limitation within which the position of neighboring vehicles can be transmitted between them and, to reducing the number of satellites that are available for navigation data exchange. The stages of the present study are dedicated to the evaluation of the proposed scheme of the inter-satellites data transmission over a digital communication channel, aimed for reducing the necessary channel capacity

Problem Description
Minimum Necessary Data Rate for Estimation and Control
Static Binary Quantizer
Zooming Strategies
Coders with Memory
Relative Motion Dynamics of Two Satellites in a Near-Circular Orbit
Control Law Design
Adaptive Coding for Transmission of Position Between Satellites in Formation
Erasure Channel Description
Satellite Model Parameters
Simulations for Ideal Communication Channel
Case of Erasure Communication Channel
Conclusions
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