geophysical coordinate transformation Russell .pdf

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1、GeophysicalCoordinateTransformationsGEOPHYSICALCOORDINATETRANSFORMATIONSCHRISTOPHERT.RUSSELLInstituteofGeophysicsandPlanetaryPhysics,Univ.ofCalif.,LosAngeles,Calif.90024,U.S.A.OriginallypublishedinCosmicElectrodynamics,2,184-196,1971.Allrightsreserved.Copyright1971byD.Reidel,PublishingCompanyDordr

2、echt-Holland.(Received12January,1971;inrevisedform26March,1971)Contents●Abstract●Introduction●Section2:GeneralRemarks●Section3:CoordinateSystems❍Section3.1:TheGeocentricEquatorialInertialSystem❍Section3.2:GeographicCoordinates❍Section3.3:GeomagneticCoordinates❍Section3.4:GeocentricSolarEclipti

3、cSystem❍Section3.5:GeocentricSolarEquatorialSystem❍Section3.6:GeocentricSolarMagnetosphericSystem❍Section3.7:SolarMagneticCoordinates❍Section3.8:DipoleMeridianSystem❍Section3.9:ATS-1CoordinateSystems❍Section3.10:OtherCoordinateSystems●Appendix1.TheCartesianRepresentationofaDipoleMagneticFiel

4、d●Appendix2.TheCalculationofthePositionoftheSun●Acknowledgements●ReferencesAbstract.Theuseofavector-matrixformalismtodescribethetransformationfromonecartesiancoordinatesystemtoanotherresultsinsimple-to-useandeasy-to-understandrelationships.Furthermore,therequiredmatrixtransformationsmaybederiveddi

5、rectly.Thecommoncoordinatesystemsinuseinsolar-terrestrialrelationshipsaredescribedandthenthetransformationmatricesrequiredtoconvertvectorsinonesystemtoanotherarederived.IntroductionManydifferentcoordinatesystemsareusedinexperimentalandtheoreticalworkonsolar-terrestrialrelationships.Thesecoordinate

6、systemsareusedtodisplaysatellitetrajectories,boundarylocations,andvectorfieldmeasurements.Theneedformorethanonecoordinatesystemarisesfromthefactthatoftenvariousphysicalprocessesaremoreunderstood,experimentalhttp://www-ssc.igpp.ucla.edu/personnel/russell/papers/gct1.html/(1of12)[2/11/20072:44:46PM]

7、GeophysicalCoordinateTransformationsdatamoreordered,orcalculationsmoreeasilyperformedinoneoranotherofthevarioussystems.Frequently,itisnecessarytotransformfromonetoanotherofthesesystems.Itispossibletoderivethetran