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
1 - On the influence of Geological Changes on the Earth's Axis of Rotation
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
The subject of the fixity or mobility of the earth's axis of rotation in that body, and the possibility of variations in the obliquity of the ecliptic, have from time to time attracted the notice of mathematicians and geologists. The latter look anxiously for some grand cause capable of producing such an enormous effect as the glacial period. Impressed by the magnitude of the phenomenon, several geologists have postulated a change of many degrees in the obliquity of the ecliptic and a wide variability in the position of the poles on the earth; and this, again, they have sought to refer back to the upheaval and subsidence of continents.
Mr John Evans, F.R.S., the late President of the Geological Society, in an address delivered to that Society, has recurred to this subject at considerable length. After describing a system of geological upheaval and subsidence, evidently designed to produce a maximum effect in shifting the polar axis, he asks:—“Would not such a modification of form bring the axis of figure about 15° or 20° south of the present, and on the meridian of Greenwich—that is to say, midway between Greenland and Spitzbergen? and would not, eventually, the axis of rotation correspond in position with the axis of figure?
“If the answer to these questions is in the affirmative, then I think it must be conceded that even minor elevations within the tropics would produce effects corresponding to their magnitude, and also that it is unsafe to assume that the geographical position of the poles has been persistent throughout all geological time.”
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- The Scientific Papers of Sir George DarwinFigures of Equilibrium of Rotating Liquid and Geophysical Investigations, pp. 1 - 46Publisher: Cambridge University PressPrint publication year: 2009First published in: 1910