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  Uniformly rotating axisymmetric fluid configurations bifurcating from highly flattened Maclaurin spheroids

Ansorg, M., Kleinwächter, A., & Meinel, R. (2003). Uniformly rotating axisymmetric fluid configurations bifurcating from highly flattened Maclaurin spheroids. Monthly Notices of the Royal Astronomical Society, 339(2), 515-523. doi:10.1046/j.1365-8711.2003.06190.x.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5256-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5257-D
Genre: Journal Article

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515-523.pdf (Publisher version), 929KB
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 Creators:
Ansorg, Marcus1, Author
Kleinwächter, Andreas, Author
Meinel, Reinhard, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: We present a thorough investigation of sequences of uniformly rotating, homogeneous axisymmetric Newtonian equilibrium configurations that bifurcate from highly flattened Maclaurin spheroids. Each one of these sequences possesses a mass-shedding limit. Starting at this point, the sequences proceed towards the Maclaurin sequence and beyond. The first sequence leads to the well-known Dyson rings, whereas the end-points of the higher sequences are characterized by the formation of a two-body system, either a core–ring system (for the second, the fourth, etc., sequence) or a two-ring system (for the third, the fifth, etc., sequence). Although the general qualitative picture drawn by Eriguchi and Hachisu in the 1980s has been confirmed, slight differences arise in the interpretation of the origin of the first two-ring sequence and in the general appearance of fluid bodies belonging to higher sequences.

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 Dates: 2003-02
 Publication Status: Published in print
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 Identifiers: eDoc: 367498
DOI: 10.1046/j.1365-8711.2003.06190.x
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Title: Monthly Notices of the Royal Astronomical Society
  Alternative Title : Mon. Not. Roy. Astr. Soc.
Source Genre: Journal
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Pages: - Volume / Issue: 339 (2) Sequence Number: - Start / End Page: 515 - 523 Identifier: -