Optimal On-Orbit Inspection of Satellite Formation

In a formation-flying mission where multiple spacecraft must cooperate and maintain a prescribed relative separation, the early detection of possible anomalies is a primary requirement. This is possible, for example, by employing an inspector spacecraft whose aim is to monitor the condition of the f...

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Main Authors: Andrea Caruso, Alessandro A. Quarta, Giovanni Mengali, Marco Bassetto
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/14/20/5192
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author Andrea Caruso
Alessandro A. Quarta
Giovanni Mengali
Marco Bassetto
author_facet Andrea Caruso
Alessandro A. Quarta
Giovanni Mengali
Marco Bassetto
author_sort Andrea Caruso
collection DOAJ
description In a formation-flying mission where multiple spacecraft must cooperate and maintain a prescribed relative separation, the early detection of possible anomalies is a primary requirement. This is possible, for example, by employing an inspector spacecraft whose aim is to monitor the condition of the formation members with an on-orbit inspection. This paper analyzes a rest-to-rest multiple-impulse transfer that the inspector spacecraft must accomplish to visit all of the formation members. The problem is studied using the linearized Hill–Clohessy–Wiltshire equations and is solved in an optimal framework by minimizing the total velocity variation along the transfer trajectory. The solution algorithm implements a two-step procedure that combines differential evolution algorithms and Nelder–Mead simplex method-based routines. A case study is thoroughly investigated where a formation of six satellites covers a circular orbit of altitude <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>300</mn><mspace width="0.166667em"></mspace><mi>km</mi></mrow></semantics></math></inline-formula> over Earth. The proposed algorithm could efficiently find a solution and with reduced computational times.
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spelling doaj.art-41380491a90c47c29c6f7d908282e8602023-11-24T02:20:56ZengMDPI AGRemote Sensing2072-42922022-10-011420519210.3390/rs14205192Optimal On-Orbit Inspection of Satellite FormationAndrea Caruso0Alessandro A. Quarta1Giovanni Mengali2Marco Bassetto3Department of Industrial Engineering, University of Bologna, I-47121 Forlì, ItalyDepartment of Civil and Industrial Engineering, University of Pisa, I-56122 Pisa, ItalyDepartment of Civil and Industrial Engineering, University of Pisa, I-56122 Pisa, ItalyDepartment of Civil and Industrial Engineering, University of Pisa, I-56122 Pisa, ItalyIn a formation-flying mission where multiple spacecraft must cooperate and maintain a prescribed relative separation, the early detection of possible anomalies is a primary requirement. This is possible, for example, by employing an inspector spacecraft whose aim is to monitor the condition of the formation members with an on-orbit inspection. This paper analyzes a rest-to-rest multiple-impulse transfer that the inspector spacecraft must accomplish to visit all of the formation members. The problem is studied using the linearized Hill–Clohessy–Wiltshire equations and is solved in an optimal framework by minimizing the total velocity variation along the transfer trajectory. The solution algorithm implements a two-step procedure that combines differential evolution algorithms and Nelder–Mead simplex method-based routines. A case study is thoroughly investigated where a formation of six satellites covers a circular orbit of altitude <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>300</mn><mspace width="0.166667em"></mspace><mi>km</mi></mrow></semantics></math></inline-formula> over Earth. The proposed algorithm could efficiently find a solution and with reduced computational times.https://www.mdpi.com/2072-4292/14/20/5192satellite formationCubeSat mission designon-orbit inspectiontrajectory optimization
spellingShingle Andrea Caruso
Alessandro A. Quarta
Giovanni Mengali
Marco Bassetto
Optimal On-Orbit Inspection of Satellite Formation
Remote Sensing
satellite formation
CubeSat mission design
on-orbit inspection
trajectory optimization
title Optimal On-Orbit Inspection of Satellite Formation
title_full Optimal On-Orbit Inspection of Satellite Formation
title_fullStr Optimal On-Orbit Inspection of Satellite Formation
title_full_unstemmed Optimal On-Orbit Inspection of Satellite Formation
title_short Optimal On-Orbit Inspection of Satellite Formation
title_sort optimal on orbit inspection of satellite formation
topic satellite formation
CubeSat mission design
on-orbit inspection
trajectory optimization
url https://www.mdpi.com/2072-4292/14/20/5192
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