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【学术论文】(important)Asymptotic Analysis of Quasi-Equilibrium Glide in Lifting Entry Flight

【学术论文】(important)Asymptotic Analysis of Quasi-Equilibrium Glide in Lifting Entry Flight

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时间：2019-07-22

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1、JOURNALOFGUIDANCE,CONTROL,ANDDYNAMICSVol.29,No.3,May–June2006AsymptoticAnalysisofQuasi-EquilibriumGlideinLiftingEntryFlightPingLu∗IowaStateUniversity,Ames,Iowa50011-2271Thephysicalphenomenonofnearequilibriumglideinentryflightofaliftingvehiclehaslongbeenaveryusefulutilityi

2、nflightmechanicsanalysisandentryguidancedesigns.Butnorigorousmathematicalcharacterizationofthisquasi-equilibriumflightconditionexiststhatcanhelpprovideadeeperunderstandingofwhenandhowsuchaflightconditiontakesplaceandwhatisthepreciserelationshipbetweenexactandquasi-equilibri

3、umglide.Wepresentaformalanalysistoquasi-equilibriumentryflightinthispaper.Weembedthequasi-equilibriumglidingflightprobleminaclassofregularperturbationproblemsandobtainsolutionsinasymptoticexpansions.Weshowthatthezeroth-ordersolutionisanexactequilibriumglidesolution.Weprovi

4、dethecompletesolutionstructureandconvergenceanalysis.Ouranalysisyieldsquantitativeaccuracyestimatestothequasi-equilibriumglideconditionthatcanguidehowthisapproximationcanbebestused.Thesolutionstructureweobtainnaturallyleadstowhatcanbedonetoimprovetheaccuracyofthequasi-eq

5、uilibriumglidecondition.I.IntroductionnatureoftheapproximationsarisingfromtheQEGCgoesbeyondHEnotionofequilibriumglidewasfirstintroducedintheanal-simplyignoringsmallflight-pathangle.TheactualprofilesoftheTysisofhypervelocityliftingflightbytheGermanrocketsci-altitude,velocity,

6、andbankangleingeneralaredifferentfromthoseentistS¨angerasearlyasthe1930s.1,2Thephysicalbasisisthatininexactequilibriumglide.SowhentheseactualprofilesareusedglidingflighttheverticalcomponentoftheaccelerationtendstobeintheQEGC,theyalsointroduceapproximations.Thefundamentalsm

7、all,andtheflight-pathangleislikelytobesmall.Thereforethequestionsunansweredincludeunderwhatconditionsandinwhatflight-pathangleanditsratecanbeapproximatedbyzerointhesensetheQEGCcanbeconsideredavalidapproximation;wheredifferentialequationgoverningtheflight-pathangle.Thediffer

8、en-thelimitationsoftheQEGCasanapproximationlie;andwhatistialequationisthusreducedtoanalgebraicequation,

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