Rotational equilibria by Lagrangian variational principle: Towards multidimensional stellar evolutions

Nobutoshi Yasutake, Kotaro Fujisawa, Shoichi Yamada

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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
Issue number4
Publication statusPublished - 2016 Dec 21


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

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


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