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基于同伦方法的跳跃式再入轨迹优化.docx

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基于同伦方法的跳跃式再入轨迹优化 Abstract: Reentrytrajectoryoptimizationisessentialforthesuccessofthespacecraftmission.Thispaperpresentsanovelmethodforoptimizingthejump-reentrytrajectory,whichisbasedonthehomotopymethod.Thejump-reentrytrajectoryisoptimizedbydividingitintoseveralsegments,andeachsegmentisoptimizedseparately.Theoptimizedsegmentsarethenconcatenatedtoobtainasmoothtrajectory.Theproposedmethodistestedonasamplespacecraft,andtheresultsindicatethatitiseffectiveinoptimizingthejump-reentrytrajectory. Introduction: ThereentryofaspacecraftintotheEarth'satmosphereisacriticalphaseofamission.Duringreentry,thespacecraftexperienceshightemperaturesandpressuresthatcandamageitsstructureandinstrumentation.Reentrytrajectoryoptimizationisthereforeessentialtoensurethatthespacecraftcansafelyentertheatmosphereandreachitsdestination.Thejump-reentrytrajectoryisaspecialtypeofreentrytrajectorythatincludesacontrolledjumpinaltitudetoreducetheheatinganddecelerationexperiencedduringtheatmosphericentryphase.Thispaperpresentsanovelmethodforoptimizingthejump-reentrytrajectorybasedonthehomotopymethod. Methodology: Thejump-reentrytrajectoryisdividedintoseveralsegments,andeachsegmentisoptimizedseparately.Theoptimizationproblemforeachsegmentisdefinedbytheobjectivefunctionandtheconstraints.Theobjectivefunctionistominimizethetotaldecelerationexperiencedbythespacecraftduringtheatmosphericentryphase.Theconstraintsincludethemaximumtemperatureandaccelerationthatthespacecraftcanwithstand,themaximumaltitudeandvelocityduringthejumpphase,andthemaximumfuelconsumption.Theoptimizationproblemissolvedusingadirectcollocationmethod,whichconvertsthecontinuoustrajectoryoptimizationproblemintoafinite-dimensionaloptimizationproblem. Thehomotopymethodisusedtoimprovetheconvergenceandrobustnessoftheoptimizationalgorithm.Thehomotopyparameterisintroducedtograduallychangetheobjectivefunctionfromtheinitialguesstothefinaloptimizedsolution.Thisenablestheoptimizationalgorithmtoavoidgettingstuckinlocalminimaandtofindtheglobaloptimum.Thehom