Principles of Theory of Attraction

Chapter 1 of the book “Principles of the Gravitational Method” covers on theory of attraction. The content are very relevant to physical geodesy.

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.

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