Springer Optimization and Its Applications 144 Giorgio Fasano János D. Pintér Editors Modeling and Optimization in Space Engineering State of the Art and New Challenges Springer Optimization and Its Applications Volume 144 ManagingEditor PanosM.Pardalos ,UniversityofFlorida Editor-CombinatorialOptimization Ding-ZhuDu,UniversityofTexasatDallas AdvisoryBoard J.Birge,UniversityofChicago S.Butenko,TexasA&MUniversity F.Giannessi,UniversityofPisa S.Rebennack,KarlsruheInstituteofTechnology T.Terlaky,LehighUniversity Y.Ye,StanfordUniversity AimsandScope Optimizationhasbeenexpandinginalldirectionsatanastonishingrateduringthe lastfewdecades.Newalgorithmicandtheoreticaltechniqueshavebeendeveloped, thediffusionintootherdisciplineshasproceededatarapidpace,andourknowledge ofallaspectsofthefieldhasgrownevenmoreprofound.Atthesametime,oneof themoststrikingtrendsinoptimizationistheconstantlyincreasingemphasisonthe interdisciplinarynatureofthefield.Optimizationhasbeenabasictoolinallareas ofappliedmathematics,engineering,medicine,economicsandothersciences. The series Springer Optimization and Its Applications publishes undergraduate and graduate textbooks, monographs and state-of-the-art expository works that focusonalgorithmsforsolvingoptimizationproblemsandalsostudyapplications involvingsuchproblems.Someofthetopicscoveredincludenonlinearoptimization (convex and nonconvex), network flow problems, stochastic optimization, optimal control, discrete optimization, multi-objective programming, description of soft- warepackages,approximationtechniquesandheuristicapproaches. Moreinformationaboutthisseriesathttp://www.springer.com/series/7393 Giorgio Fasano • János D. Pintér Editors Modeling and Optimization in Space Engineering State of the Art and New Challenges 123 Editors GiorgioFasano JánosD.Pintér ThalesAleniaSpace DepartmentofIndustrialand Turin,Italy SystemsEngineering LehighUniversity Bethlehem,PA,USA ISSN1931-6828 ISSN1931-6836 (electronic) SpringerOptimizationandItsApplications ISBN978-3-030-10500-6 ISBN978-3-030-10501-3 (eBook) https://doi.org/10.1007/978-3-030-10501-3 LibraryofCongressControlNumber:2019935527 Mathematics Subject Classification: 05B40, 37N05, 37N40, 49-06, 65K05, 70M20, 90Bxx, 90-08, 90C11,90C26,90C29,90C30,90C90 ©SpringerNatureSwitzerlandAG2019 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof thematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped. 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Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Preface Two edited volumes dedicated to the challenging and wide-ranging subject of optimizationinspaceengineeringhavebeenrecentlypublished: Fasano and Pintér, Eds., Modeling and Optimization in Space Engineering, Springer,2013 FasanoandPintér,Eds.,SpaceEngineering:ModelingandOptimizationwithCase Studies,Springer,2016 Thestronginteresttowardsthetopicscoveredbytheseworkshasmotivatedthe thirdtopicalbookprojectthathasledtothepresentvolume. Spaceengineeringtasksfrequentlyrequiretheanalysisandsolutionofadvanced and often very hard optimization problems. In the earliest studies, the primary concern was related to the viability of the mission to accomplish. Therefore optimizationgenerallyfocusedonmissionanalysisaspects,withspecificattention to technical feasibility and mission safety. Space engineering projects typically required the analysis and optimization of trajectories and fuel consumption, with paramountconsiderationgiventocrewprotection. As time has passed, commercial interests and implied cost-efficiency aspects related to space projects have become increasingly important. A well-known example – in apparent need of complex cost-benefit and risk analysis studies – is thecontinuingoperationoftheInternationalSpaceStation. For current and forthcoming space engineering projects, today’s higher envi- ronmental awareness imposes mission constraints that in the past were sim- ply (or almost) neglected. The ambitious goals of future interplanetary explo- rations–specificallyincludingmannedmissions–willrequireadvancedanalytical approaches to guarantee safety, to maximize the performance of the systems adopted,andtomakeuseofmissionresourcesasefficientlyaspossible. Currentoptimizationissuesarerelatedtoabroadrangeofchallengesincluding, e.g.low-thrusttransfers,interplanetarytrajectories,transferstonear-Earthobjects, safety analysis of possible collision with space debris, re-entry vehicles, hybrid rocket engines, robust spacecraft design, on-board task scheduling, cargo loading v vi Preface and packing, payload accommodation with balancing conditions, and satellite constellationimageacquisition. While the necessary depth and quality of the decisions required by space engineering projects has been increasing, we have also witnessed continuing innovation regarding theoretical advances and practical (ready-to-use) decision supporttoolsforsuchapplications.Theresultsofscientificinnovation,modelling, and algorithmic developments are supported and enhanced by today’s advanced computationalmodellingandoptimizationenvironments.Startingfromtheearliest space engineering applications, the solution of increasingly hard optimization problems has become necessary. Until fairly recent times, numerical optimization approacheswerelimitedtohandlinglinearorconvexnonlinearcontinuousmodels, aswellasintegerlinearormixedinteger-continuouslinearoptimizationproblems. Recentadvancesintheareaofoptimizationsupportalsothehandlingofnon-convex problemformulations:thisdevelopmentenablesthesolutionofmorerealistic–but oftenmuchharder–optimizationproblems. The present volume consists of 17 contributed chapters. Written by leading experts, the book offers in-depth discussions of the mathematical modelling and algorithmicaspectsoftacklingabroadrangeofspaceengineeringapplications. Specific mission analysis and attitude control subjects include the following: optimallaunchdateanalysisforinterplanetarymissions,evolutionaryneuro-control for the global optimization of continuous-thrust trajectories,machine learning and evolutionary optimization techniques for interplanetary trajectory design, optimal finite-thrust orbital transfers, single-stage-to-orbit space-plane trajectory perfor- manceanalysis,ascenttrajectoryoptimizationandneighbouringoptimalguidance of multistage launch vehicles, catalogue generation of parametric time-optimal transfersforall-electricgeostationarysatellites,real-timeoptimalcontroldedicated tools, advanced numerical strategies for sensitivity analysis and reliability assess- mentofalauncherstagefalloutzone,evidence-basedrobustoptimizationofpulsed laser orbital debris removal, simulation and attitude determination, and control of smallsatellites. Systemdesignandconfigurationaspectsarediscussedinseveralchapters.Topics include the general problem of control dispatch optimization in a spacecraft and a real-world application in the framework of the European Space Agency’s Next Generation Gravity Mission, packing problems with balancing conditions, and the optimal topological design of a thermal insulator for a monopropellant space thruster. The analysis of observation planning and scheduling aspects in multiple heterogeneoussatellitemissionsalsobelongstothisgroupofstudies. Thisbookwillbeofinterestforresearchersandpractitionersworkinginthefield of space engineering. Since it offers an in-depth exposition of the mathematical modelling and algorithmic and numerical solution aspects of the topics covered, the book will be useful also for aerospace engineering graduate and post-graduate studentswhowishtoexpandupontheirknowledge,bystudyingreal-worldapplica- tionsandchallengesthattheywillmeetintheirprofessionalwork.Thecontributed chaptersarefocusedonspaceengineeringpractice,ratherthanontheory.Withthis aspect in mind, researchers and practitioners in mathematical systems modelling, Preface vii operations research, optimization, and optimal control will also benefit from the casestudiespresentedinthiswork. The model development and optimization approaches discussed in the book can be extended also towards other application areas that are not related to space engineering. Hence, the book can be a useful reference to assist the development of new applications. Readers will obtain a broad overview of some of the most challenging space engineering operational scenarios of today and tomorrow: this aspect will benefit managers in the aerospace field, as well as in other industrial sectors. Turin,Italy GiorgioFasano Bethlehem,PA,USA JánosD.Pintér Acknowledgements Firstandforemost,wewishtothankallAuthorsfortheirhigh-qualitycontribution andfortheirdedicatedefforttomakethetimelycompletionandpublicationofthis bookpossible. We are grateful to our colleagues who assisted us with valuable peer reviews of the contributed chapters. We wish to express our special thanks to Mathieu Balesdent,LorenzoCasalino,SimoneCeccherini,KaiWahChan,BerndDachwald, GiancarloGenta,MarcelJacobse,MatthiasKnauer,RenkeKuhlmann,ErwinMooij, JérômeMorio,MauroPontani,KaiSchäfer,MarkSenez,andFrancescoTopputo. One of the editors (GF) thanks also Walter Cugno and Roberto Angelini of ThalesAleniaSpace(Turin,Italy)fortheirsupportoftheresearchanddevelopment activities related to modelling and optimization in a range of space engineering applications. We have been glad to work with Razia Amzad, our book project Editor at Springer, Vinodhini Srinivasan, and the entire Springer production team on this project,fromitsinitialdiscussiontoitscompletion.Welookforwardtocontinuing cooperation. ix Contents Preface............................................................................. v Acknowledgements............................................................... ix Control Propellant Minimization for the Next Generation GravityMission .................................................................. 1 Alberto Anselmi, Stefano Cesare, Sabrina Dionisio, Giorgio Fasano, andLucaMassotti Global Optimization of Continuous-Thrust Trajectories Using EvolutionaryNeurocontrol...................................................... 33 BerndDachwaldandAndreasOhndorf NonparametricImportanceSamplingTechniquesforSensitivity AnalysisandReliabilityAssessmentofaLauncherStageFallout.......... 59 PierreDerennes,VincentChabridon,JérômeMorio,MathieuBalesdent, FlorianSimatos,Jean-MarcBourinet,andNicolasGayton DynamicSystemControlDispatch:AGlobalOptimizationApproach.... 87 GiorgioFasano ChoiceoftheOptimalLaunchDateforInterplanetaryMissions .......... 111 GiancarloGentaandP.FedericaMaffione Optimal Topological Design of a Thermal Isolator foraMonopropellantSpaceThruster......................................... 141 SebastiánMiguelGiusti,AugustoAlejandroRomero, andJavierEduardoSalomone Evidence-Based Robust Optimization of Pulsed Laser Orbital DebrisRemovalUnderEpistemicUncertainty............................... 169 LiqiangHou,MassimilianoVasile,andZhaohuiHou xi xii Contents MachineLearningandEvolutionaryTechniquesinInterplanetary TrajectoryDesign ................................................................ 191 DarioIzzo,ChristopherIliffeSprague,andDharmeshVijayTailor Real-TimeOptimalControlUsingTransWORHPandWORHPZen..... 211 MatthiasKnauerandChristofBüskens TheoryandApplicationsofOptimalFiniteThrustOrbitalTransfers..... 233 L.MazziniandM.Cerreto CollectionPlanningandSchedulingforMultipleHeterogeneous Satellite Missions: Survey, Optimization Problem, andMathematicalProgrammingFormulation............................... 271 SnezanaMitrovic-Minic,DarrenThomson,JeanBerger,andJeffSecker Single-Stage-to-OrbitSpace-PlaneTrajectoryPerformanceAnalysis..... 307 ErwinMooij Ascent Trajectory Optimization and Neighboring Optimal GuidanceofMultistageLaunchVehicles...................................... 343 GuidoPalaia,MarcoPallone,MauroPontani,andPaoloTeofilatto Optimization Issues in the Problem of Small Satellite Attitude DeterminationandControl ..................................................... 373 ZaureRakisheva,AnnaSukhenko,andNazgulKaliyeva OptimizedPackingsinSpaceEngineeringApplications:PartI............ 395 YuriyStoyan,AlexandrPankratov,TatianaRomanova,GiorgioFasano, JánosD.Pintér,YurijE.Stoian,andAndreyChugay OptimizedPackingsinSpaceEngineeringApplications:PartII........... 439 Yu.Stoyan,I.Grebennik,T.Romanova,andA.Kovalenko ACatalogueofParametricTime-OptimalTransfersforAll-Electric GEOSatellites.................................................................... 459 FrancescoTopputoandSimoneCeccherini