First Integrals of Adiabatic Stellar Oscillations | Zendy

M. Takata | Zendy

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First Integrals of Adiabatic Stellar Oscillations

Author(s) -

M. Takata

Publication year - 2006

Publication title -

publications of the astronomical society of japan

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.99

H-Index - 110

eISSN - 2053-051X

pISSN - 0004-6264

DOI - 10.1093/pasj/58.4.759

Subject(s) - physics , adiabatic process , stars , classical mechanics , hamiltonian (control theory) , stellar dynamics , hamiltonian system , mathematical physics , symmetry (geometry) , astrophysics , quantum mechanics , mathematical optimization , geometry , mathematics

We consider the equations of linear adiabatic oscillations of stars analytically. There are two known first integrals of nonradial oscillations of spherically symmetric stars, which exist for any stellar structure. One is obtained by integrating the linearized Poisson equation in the case of radial oscillations. The other is derived from momentum conservation in the case of dipolar oscillations. B...

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