[B]Theory of orbit determination.pdf

《[B]Theory of orbit determination.pdf》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、ThispageintentionallyleftblankTHEORYOFORBITDETERMINATIONDeterminingorbitsofnaturalandartificialcelestialbodiesisanessentialstepintheexplorationandunderstandingoftheSolarSystem.However,recentprogressinthequalityandquantityofdatafromastronomicalobservationsandspac

2、ecraft-trackinghasgeneratedorbitdeterminationproblemswhichcannotbehandledbyclassicalalgorithms.Thisbookpresentsnewalgorithmscapableofhandlingthemillionsofbodieswhichcouldbeobservedbynext-generationsurveys,andwhichcanfullyexploittrackingdatawithstate-of-the-artl

3、evelsofaccuracy.Afterageneralmathematicalbackgroundandsummaryofclassicalalgorithms,thenewalgorithmsareintroducedusingthelatestmathematicaltoolsandresults,towhichtheauthorshavepersonallycontributed.Casestudiesbasedonactualastronomicalsurveysandspacemissionsarepr

4、ovided,withapplicationsofthesenewmethods.Intendedforgrad-uatestudentsandresearchersinappliedmathematics,physics,astronomy,andaerospaceengineering,thisbookisalsoofinteresttonon-professionalastronomers.andreamilaniisFullProfessorofMathematicalPhysicsintheDepartme

5、ntofMathe-matics,UniversityofPisa.HisareasofresearchincludetheN-bodyproblem,thestabilityoftheSolarSystem,asteroiddynamicsandfamilies,satellitegeodesy,planetaryexploration,orbitdetermination,andasteroidimpactrisk.giovannif.gronchiisaResearcherofMathematicalPhysi

6、csintheDepartmentofMathematics,UniversityofPisa.HisresearchisonSolarSystembodydynamics,perturbationtheory,orbitdetermination,singularities,andperiodicorbitsoftheN-bodyproblem.COVERILLUSTRATION:Theorbitsofeightpotentiallyhazardousasteroids(PHA);theyhaveaminimumi

7、ntersectiondistancewiththeorbitoftheEarthoflessthan0.05astronom-icalunits.Togetherwithmanymoresmallerobjects,theyformaswarmsurroundingtheorbitofourplanet(represented,nottoscale,ingreen,orbitinyellow),areobservablewitheithertelescopesorradar,andprovideagoodexamp

8、leofanorbitdeterminationproblem.TheobjectsinthisfigurearethebrightestPHA,withdiameterslargerthan2km;thusanimpactwiththeEarthwouldresultinaglobalcatastrophe.Therehasbeenintere