ABSTRACT

As the Earth`s surface deviates from its spherical shape by less than 0.4 percent of its radius and today's satellite missions collect their gravitational and magnetic data on nearly spherical orbits, sphere-oriented mathematical methods and tools play important roles in studying the Earth's gravitational and magnetic field. Geomathematically Orien

chapter |8 pages

Introduction

part |2 pages

I Preliminaries

chapter 1|18 pages

Three-Dimensional Euclidean Space R3

chapter 2|52 pages

Two–Dimensional Sphere Ω

part |2 pages

II Potential Theory in the Euclidean Space R3

chapter 3|92 pages

Basic Concepts

chapter 4|68 pages

Gravitation

chapter 5|42 pages

Geomagnetism

part |2 pages

III Potential Theory on the Unit Sphere Ω

chapter 6|60 pages

Basic Concepts

chapter 7|38 pages

Gravitation

chapter 8|44 pages

Geomagnetism