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# Volume 41. Principles of the Gravitational Method

## 1st Edition

Authors:

- Electronic ISBN 9780080553870
- Print ISBN 9780444529930
- Print ISBN 9780444559517

Authors:

- Electronic ISBN 9780080553870
- Print ISBN 9780444529930
- Print ISBN 9780444559517

This self-contained monograph gives a thorough introduction to the theory of gravity which is used as the basis for developing applications in exploration and geodesy. In addition, a survey of gravity instrumentation is given, with emphasis on the theory of underlying these instruments. The book finishes with an exposition of forward modeling and inverston, again emphasizing fundamental principles.

*Surveys gravity instrumentation with emphasis on the theory of why certain instrumentation is used
*Presents thorough developments of the theory of gravity to aid in creating applications in exploration and geodesy
*Emphasizes the fundamental principles of forward modeling and inversion in the gravitational method

Researchers interested in gravimetry, geodesy, tectonophysics, applied geophysics, and geothermics

Acknowledgements.

List of symbols.

Chapter 1: Principles of theory of attraction.

1. Newton’s law of attraction.

2. The field of attraction and solution of the forward problem.

3. Different types of masses and their densities.

4. Two fundamental features of the attraction field.

5. System of equations of the field of attraction.

6. Laplace’s and Poisson’s equations.

7. The potential and its relation to masses.

8. Fundamental solution of Poisson’s and Laplace’s equations.

9. Theorem of uniqueness and solution of the forward problem.

10. Green’s formula and the relationship between potential and boundary conditions.

11. Analytical upward continuation of the field.

12. Poisson’s integral.

13. Behavior of the attraction field.

14. Legender’s functions and solution of Laplace’s equation.

1. Forces acting on an elementary volume of the rotating earth and the gravitational field.

2. Gravitational field of the earth.

3. Potential of the gravitational field of the earth.

4. Potential and the gravitational field due to an ellipsoid of rotation.

5. Clairaut’s Theorem.

6. Potential of the gravitational field in terms of spherical harmonics.

7. Geoid and leveling.

8. Stokes formula.

9. Molodensky’s problem.

10. Attraction field of the spheroid.

11. Spheroid and equilibrium of rotating fluid.

12. Development of the theory of the figure of the earth.

1. History of measurements of the gravitational field.

2. Principles of ballistic gravimeter.

3. Pendulum devices.

4. Influence of Coriolis force on particle motion.

5. Vertical spring mass-system.

6. Spring with an initial compression and Hooke’s law.

7. Torsion spring-mass system.

8. Lever spring-mass system.

- No. of pages:
- 258

- Language:
- English

- Copyright:
- © 2008

- Published:
- 7th November 2007

- Imprint:
- Elsevier Science

- Electronic ISBN:
- 9780080553870

- Print ISBN:
- 9780444529930

- Print ISBN:
- 9780444559517