A student's guide to geophysical equations
- Responsibility
- William Lowrie.
- Language
- English. English.
- Digital
- data file
- Imprint
- Cambridge ; New York : Cambridge University Press, 2011.
- Physical description
- 1 online resource (xiii, 281 pages) : illustrations
Online
Available online
More options
Description
Creators/Contributors
- Author/Creator
- Lowrie, William, 1939-
Contents/Summary
- Bibliography
- Includes bibliographical references (pages 276-277) and index.
- Contents
-
- Preface
- Acknowledgements
- 1. Mathematical background
- 2. Gravitation
- 3. Gravity
- 4. The tides
- 5. Earth's rotation
- 6. Earth's heat
- 7. Geomagnetism
- 8. Foundations of seismology
- Appendix A. Magnetic poles, the dipole field, and current loops
- Appendix B. Maxwell's equations of electromagnetism
- References
- Index.
- (source: Nielsen Book Data)
- 2.3.1 Outside a solid sphere, using Laplace's equation
- 2.3.2 Inside a solid sphere, using Poisson's equation
- 2.4 Laplace's equation in spherical polar coordinates
- 2.4.1 Azimuthal (longitudinal) solution
- 2.4.2 Polar (latitudinal) solution for rotational symmetry
- 2.4.3 Radial solution
- 2.4.4 Solution of Laplace's equation for rotational symmetry
- 2.4.5 General solution of Laplace's equation
- 2.5 MacCullagh's formula for the gravitational potential
- 2.5.1 Gravitational potential of a spheroid
- 2.5.2 MacCullagh's formula and the figure of the Earth
- Further reading
- 3 Gravity
- 3.1 The ellipticity of the Earth's figure
- 3.2 The geopotential
- 3.2.1 Gravitational potential
- 3.2.2 Centrifugal potential
- 3.3 The equipotential surface of gravity
- 3.3.1 Relationship of J2, J4, f, and m
- 3.3.2 Inferred increase of density with depth in the Earth
- 3.4 Gravity on the reference spheroid
- 3.4.1 Polar component of gravity
- 3.4.2 Radial component of gravity
- 3.4.3 Variation of reference gravity with geocentric latitude
- 3.4.4 Clairaut's formula
- 3.5 Geocentric and geographic latitude
- 3.5.1 Normal gravity on the reference ellipsoid
- 3.6 The geoid
- 3.6.1 The potential of a geoid undulation
- 3.6.2 Stokes' formula for the height of the geoid
- 3.6.3 Evaluation of the function F(θ)
- Further reading
- 4 The tides
- 4.1 Origin of the lunar tide-raising forces
- 4.2 Tidal potential of the Moon
- 4.2.1 Significance of individual terms in the lunar potential
- Potential W0
- Potential W1
- Potential W2
- Potential W3
- 4.2.2 The lunar tide-raising acceleration
- 4.2.3 The solar tide-raising acceleration
- 4.3 Love's numbers and the tidal deformation
- 4.3.1 Tidal height
- 4.3.2 Tidal gravity anomaly
- 4.3.3 Tidal deflection of the vertical
- 4.3.4 Satellite-derived values for k, h, and l.
- Publisher's summary
-
The advent of accessible student computing packages has meant that geophysics students can now easily manipulate datasets and gain first-hand modeling experience - essential in developing an intuitive understanding of the physics of the Earth. Yet to gain a more in-depth understanding of physical theory, and to develop new models and solutions, it is necessary to be able to derive the relevant equations from first principles. This compact, handy book fills a gap left by most modern geophysics textbooks, which generally do not have space to derive all of the important formulae, showing the intermediate steps. This guide presents full derivations for the classical equations of gravitation, gravity, tides, earth rotation, heat, geomagnetism and foundational seismology, illustrated with simple schematic diagrams. It supports students through the successive steps and explains the logical sequence of a derivation - facilitating self-study and helping students to tackle homework exercises and prepare for exams.
(source: Nielsen Book Data)
Subjects
- Subjects
- Geophysics > Mathematics > Handbooks, manuals, etc.
- Physics > Formulae > Handbooks, manuals, etc.
- Earth (Planet) > Handbooks, manuals, etc.
- Geology.
- Science.
- Physics.
- Earth > Handbooks, manuals, etc.
- Géophysique > Mathématiques > Guides, manuels, etc.
- Physique > Formules > Guides, manuels, etc.
- Terre > Guides, manuels, etc.
- SCIENCE > Earth Sciences > General.
- SCIENCE > Physics > Geophysics.
- Geophysics > Mathematics.
- Earth (Planet)
Bibliographic information
- Publication date
- 2011
- ISBN
- 9781139128285 (electronic bk.)
- 1139128280 (electronic bk.)
- 9781139115452
- 1139115456
- 9780511794438 (electronic bk.)
- 0511794436 (electronic bk.)
- 9781139117623
- 1139117629
- 1283298597
- 9781283298599
- 9781139123372
- 9780521183772 (pbk.)
- 9781107005846 (hbk.)
- 1107005841
- 0521183774
- 1139124846
- 9781139124843
- 9786613298591
- 661329859X
- 1139123378
- 9781139123372
- 1139113267
- 9781139113267
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