Book contents
- Frontmatter
- PREFACE
- Contents
- Chronological List of Papers with References to the Volumes in which they are or will be contained
- Errata
- FIGURES OF EQUILIBRIUM OF ROTATING LIQUID AND GEOPHYSICAL INVESTIGATIONS
- 1 On the influence of Geological Changes on the Earth's Axis of Rotation
- 2 On Professor Haughton's Estimate of Geological Time
- 3 On a Suggested Explanation of the Obliquity of Planets to their Orbits
- 4 Note on the Ellipticity of the Earth's Strata
- 5 On an Oversight in the Mécanique Céleste, and on the Internal Densities of the Planets
- 6 On the Figure of Equilibrium of a Planet of Heterogeneous Density
- 7 The Theory of the Figure of the Earth carried to the Second Order of Small Quantities
- 8 On Jacobi's Figure of Equilibrium for a Rotating Mass of Fluid
- 9 On Figures of Equilibrium of Rotating Masses of Fluid
- 10 Ellipsoidal Harmonic Analysis
- 11 On the Pear-shaped Figure of Equilibrium of a Rotating Mass of Liquid
- 12 The Stability of the Pear-shaped Figure of Equilibrium of a Rotating Mass of Liquid
- 13 On the Integrals of the Squares of Ellipsoidal Surface Harmonic Functions
- 14 The Approximate Determination of the Form of Maclaurin's Spheroid
- 15 On the Figure and Stability of a Liquid Satellite
- INDEX
2 - On Professor Haughton's Estimate of Geological Time
Published online by Cambridge University Press: 07 September 2010
- Frontmatter
- PREFACE
- Contents
- Chronological List of Papers with References to the Volumes in which they are or will be contained
- Errata
- FIGURES OF EQUILIBRIUM OF ROTATING LIQUID AND GEOPHYSICAL INVESTIGATIONS
- 1 On the influence of Geological Changes on the Earth's Axis of Rotation
- 2 On Professor Haughton's Estimate of Geological Time
- 3 On a Suggested Explanation of the Obliquity of Planets to their Orbits
- 4 Note on the Ellipticity of the Earth's Strata
- 5 On an Oversight in the Mécanique Céleste, and on the Internal Densities of the Planets
- 6 On the Figure of Equilibrium of a Planet of Heterogeneous Density
- 7 The Theory of the Figure of the Earth carried to the Second Order of Small Quantities
- 8 On Jacobi's Figure of Equilibrium for a Rotating Mass of Fluid
- 9 On Figures of Equilibrium of Rotating Masses of Fluid
- 10 Ellipsoidal Harmonic Analysis
- 11 On the Pear-shaped Figure of Equilibrium of a Rotating Mass of Liquid
- 12 The Stability of the Pear-shaped Figure of Equilibrium of a Rotating Mass of Liquid
- 13 On the Integrals of the Squares of Ellipsoidal Surface Harmonic Functions
- 14 The Approximate Determination of the Form of Maclaurin's Spheroid
- 15 On the Figure and Stability of a Liquid Satellite
- INDEX
Summary
In a paper recently read before the Royal Society, Professor Haughton has endeavoured by an ingenious line of argument to give an estimate of the time which may have elapsed in the geological history of the earth. The results attained by him are, if generally accepted, of the very greatest interest to geologists, and on that account his method merits a rigorous examination. The object, therefore, of the present note is to criticise the applicability of his results to the case of the earth; and I conceive that my principal criticism is either incorrect, and will meet its just fate of refutation, or else is destructive of the estimate of geological time.
Professor Haughton's argument may be summarised as follows:—The impulsive elevation of a continent would produce a sudden displacement of the earth's principal axis of greatest moment of inertia. Immediately after the earthquake, the axis of rotation being no longer coincident with the principal axis, will, according to dynamical principles, begin describing a cone round the principal axis, and the complete circle of the cone will be described in about 306 days. Now, the ocean not being rigidly connected with the nucleus, a 306-day tide will be established, which by its friction with the ocean bed will tend to diminish the angle of the cone described by the instantaneous axis round the principal axis: in other words, the “wabble” set up by the earthquake will gradually die away.
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- Chapter
- Information
- The Scientific Papers of Sir George DarwinFigures of Equilibrium of Rotating Liquid and Geophysical Investigations, pp. 47 - 50Publisher: Cambridge University PressPrint publication year: 2009First published in: 1910