Freeden W., Gerhards C. Geomathematically Oriented Potential Theory

New York: Chapman and Hall/CRC, 2012. — 466 p.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.Preliminaries.
Three-Dimensional Euclidean Space R3.
Two-Dimensional Sphere O.
Potential Theory in the Euclidean Space R3.
Basic Concepts.
Gravitation.
Geomagnetism.
Potential Theory on the Unit Sphere O.
Basic Concepts.
Gravitation.
Geomagnetics.