the virial theorem in stellar astrophysics - g. w. collins

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1、TheVirialTheoremInStellarAstrophysicsbyGeorgeW.Collins,IIcopyright2003Tothekindness,wisdom,humanity,andmemoryofD.NelsonLimberandUcovanWijkiiTableofContentsPrefacetothePachartEditionvPrefacetotheWEBEditionviIntroduction11.Abriefhistoricalreview12.Thenatureofthetheor

2、em33.Thescopeandstructureofthebook4References5ChapterIDevelopmentoftheVirialTheorem61.Thebasicequationsofstructure62.TheclassicalderivationoftheVirialTheorem83.VelocitydependentforcesandtheVirialTheorem114.Continuum-FieldrepresentationoftheVirialTheorem115.TheErgodi

3、cTheoremandtheVirialTheorem146.Summary17NotestoChapter118References19ChapterIIContemporaryAspectsoftheVirialTheorem201.TheTensorVirialTheorem202.HigherOrderVirialEquations223.SpecialRelativityandtheVirialTheorem254.GeneralRelativityandtheVirialTheorem275.Complicatio

4、ns:MagneticFields,InternalEnergy,andRotation336.Summary38NotestoChapter241References45iiiChapterIIITheVariationalFormoftheVirialTheorem481.Variations,Perturbations,andtheirimplicationsforTheVirialTheorem482.Radialpulsationsforself-gravitatingsystems:Stars493.Theinfl

5、uenceofmagneticandrotationalenergyuponapulsatingsystem534.Variationalformofthesurfaceterms605.TheVirialTheoremandstability636.Summary71NotestoChapter372References78ChapterIVSomeApplicationsoftheVirialTheorem801.PulsationalstabilityofWhiteDwarfs802.TheInfluenceofRota

6、tionandMagneticFieldsontheWhiteDwarfGravitationalInstability863.StabilityofNeutronStars904.AdditionalTopicsandFinalThoughts93NotestoChapter498References100SymbolDefinitionsandFirstUsage102Index107ivPrefacetothePachartEditionAsFredHoylehasobserved,mostreadersassumeap

7、refaceiswrittenfirstandthuscontainstheauthor’shopesandaspirations.Inrealitymostprefacesarewrittenafterthefactandcontaintheauthors'viewsofhisaccomplishments.SoitisinthiscaseandIamforcedtoobservethatmyownperceptionofthesubjecthasdeepenedandsharpenedtheconsiderableresp

8、ectIhavealwayshadforthevirialtheorem.Acorollaryaspectofthisexpandedperspectiveisanawarenessofhowmuchremainstobedone.ThusbynomeanscanIclaim