New Equilibrium Sequences Bifurcating from Maclaurin Sequence

Physics

Scientific paper

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Scientific paper

Four sequences of self-gravitating and uniformly rotating incompressible fluid have been newly computed, which bifurcate from Maclaurin sequence. Three of them are non-axially symmetric equilibrium sequences, --- Triangle sequence, Square sequence and Ammonite sequence ---, and terminate at critical points where mass sheds from the equator. The fourth one is axially equilibrium which ends at the separate two-ringstructure.

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