童明雷中国科学院国家授时中心.ppt

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1、童明雷中国科学院国家授时中心2021/8/311Pulsartimingresidualsinducedbynon-evolvingsingleGWsourcesOutline2021/8/312IntroductionofpulsartimingThegeneralsolutionofGWsfromasupermassiveblackholebinaryThetimepropertiesoftimingresidualsduetoasingleGWTheeffectsofalltherelatedparametersonthetimingresidualsTOA(measu

2、redusingtheobservatoryclock)ResidualPulsartimingFoldFoldModelObservatoryclocktoTTDMdelay(D=DM/(2.41×10-16)s)RoemerdelayShapirodelayEinsteindelayParallexdelayOtherdelaytermsincludingatmosphericdelay,Shklovskiieffect,relativisticsecond-orderDopplershift,GWs,etc.Timetransformation2021/8/315App

3、licationofpulsartimingEstablishpulsartimestandardsimilartoatomictimescaleDirectdetectionofGWsImproveknowledgeofSolarsystemproperties,e.g.massesandorbitsofouterplanetsandasteroids.ApplicationtospacecraftnavigationbasedonpulsartimingOutline2021/8/316IntroductionofpulsartimingThegeneralsolutio

4、nofGWsfromasupermassiveblackholebinaryThetimepropertiesoftimingresidualsduetoasingleGWTheeffectsofalltherelatedparametersonthetimingresidualsGWsourcesContinuoussources:inspiralofbinarycompactstars,therotatingisolatedneutronstars,andtheneutronstarsinthex-raybinarystarsystems.Instantaneoussou

5、rces:supernovaeandcoalescingbinarysystemsStochasticbackgroundsources:Numbersofcompactbinarystars(inspiralandmerge)RelicGWfrominflationCosmicstrings2021/8/3172021/8/318Invacuumthesolutionisthesuperpositionofplanewaves:GWsonlyhavetwopolarizationsh+h×ThesolutionofGWsinVacuum2021/8/319Invacuumt

6、hesolutionisthesuperpositionofplanewaves:GWsonlyhavetwopolarizationsh+h×ThesolutionofGWsinVacuumWhatisanon-evolvingblackholebinary?Ellipticalorbitofabinarysystem2021/8/3110ThekinematicsolutionTheperiodoftheorbitThedifferentialequationfortheKeplerianmotionTheGWsolutionfromacompactstarbinary2

7、021/8/3111InthelinearizedEinsteintheoryofGWs,themetricpurterbationswithTTgaugeThequadrupolemomentforabinarysystemisThecoordinatesystem2021/8/3112ThesolutionofGWs2021/8/3113Wahlquist,GRG,1987Thecaceofe=02021/8/3114LeeKJetal,MNRAS,2011Outline2021/8/3115Int