Rotational equilibria by Lagrangian variational principle

Towards multidimensional stellar evolutions

Nobutoshi Yasutake, Kotaro Fujisawa, Shoichi Yamada

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    We have developed a new formulation to obtain self-gravitating, axisymmetric configurations in permanent rotation. The formulation is based on the Lagrangian variational principle with a triangulated mesh. It treats not only barotropic but also baroclinic equations of state. We compare the various stellar equilibria obtained by our new scheme with those by Hachisu's self-consistent field scheme for the barotropic case, and those by Fujisawa's self-consistent field scheme for the baroclinic case. Included in these rotational configurations are those with shellular-type rotations, which are commonly assumed in the evolution calculation of rotating stars. Although radiation processes, convections and meridional flows have not been taken into account in this study, we have in mind the application of this method to the two-dimensional evolution calculations of rotating stars, for which the Lagrangian formulation is best suited.

    Original languageEnglish
    Pages (from-to)3705-3724
    Number of pages20
    JournalMonthly Notices of the Royal Astronomical Society
    Volume463
    Issue number4
    DOIs
    Publication statusPublished - 2016 Jan 1

    Fingerprint

    stellar evolution
    variational principles
    formulations
    equation of state
    self consistent fields
    convection
    meridional flow
    stars
    configurations
    mesh
    equations of state
    calculation
    radiation
    method

    Keywords

    • Stars: evolution
    • Stars: protostars
    • Stars: rotation

    ASJC Scopus subject areas

    • Astronomy and Astrophysics
    • Space and Planetary Science

    Cite this

    Rotational equilibria by Lagrangian variational principle : Towards multidimensional stellar evolutions. / Yasutake, Nobutoshi; Fujisawa, Kotaro; Yamada, Shoichi.

    In: Monthly Notices of the Royal Astronomical Society, Vol. 463, No. 4, 01.01.2016, p. 3705-3724.

    Research output: Contribution to journalArticle

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