Beyond Zeldovich‐Type Approximations in Gravitational Instability Theory: Pade Prescription in Spheroidal Collapse | Zendy

Takahiko Matsubara | Zendy; Ayako Yoshisato | Zendy; Masahiro Morikawa | Zendy

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Beyond Zeldovich‐Type Approximations in Gravitational Instability Theory: Pade Prescription in Spheroidal Collapse

Author(s) -

Takahiko Matsubara,

Ayako Yoshisato,

Masahiro Morikawa

Publication year - 1998

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/306085

Subject(s) - padé approximant , approximations of π , type (biology) , lagrangian , instability , nonlinear system , physics , universe , gravitation , mathematics , mathematical physics , classical mechanics , astrophysics , mechanics , quantum mechanics , geology , paleontology

Among several analytic approximations for the growth of density fluctuationsin the expanding Universe, Zel'dovich approximation in Lagrangian coordinatescheme is known to be unusually accurate even in mildly non-linear regime. Thisapproximation is very similar to the Pad\'e approximation in appearance. Wefirst establish, however, that these two are actually different and independentapproximations with each other by using a model of spheroidal mass collapse.Then we propose Pad\'e-prescribed Zel'dovich-type approximations anddemonstrate, within this model, that they are much accurate than any otherknown nonlinear approximations.Comment: 4 pages, latex, 3 figures include

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