Scientific Papers, Vol. 3 (Classic Reprint): Figures of Equilibrium of Rotating Liquid and Geophysical Investigation: Figures of Equilibrium of ... Geophysical Investigation (Classic Reprint) - Softcover

Inhaltsangabe

Exploring the evolving theory of figures of equilibrium for rotating liquids and geophysical bodies.

This edition gathers George Howard Darwin’s studies on rotating masses, including the pear-shaped figure and its stability, and it shows how ellipsoidal harmonic analysis can be used for practical numerical work. It places Darwin’s results alongside the wider contributions of Poincaré, Liapounoff, and Roche, highlighting how mathematics illuminates questions about Earth's shape and planetary satellites.

Readers will find clear, concrete explanations of how the figures of equilibrium are modeled, tested, and extended across related problems in geophysics and celestial mechanics.

• Ellipsoidal harmonic analysis and its role in numerical computations for rotating fluids


• The pear-shaped figure and the debate over its stability


• Connections to Earth’s axis, internal density, and planetary satellites


• Extensions to Jacobi’s ellipsoid and the stability of related figures

Ideal for readers of mathematical physics, history of science, and geophysical investigation.

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