Another Equilibrium Sequence of Self-Gravitating and Rotating Incompressible Fluid

Physics

Scientific paper

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Scientific paper

A new sequence of gravitational equilibria was obtained for uniformly rotating axisymmetric incompressible fluid. This sequence parts from the Maclaurin sequence at the neutral point against the P_4(η) displacement at the surface. It continues into a concave hamburger-like shape, and finally into a toroid. Therefore, this neutral point on the Maclaurin sequence is one of the points of bifurcation.

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