Mathematical and Physical Fundamentals of Navigation and Positioning with Earths Natural Fields

This book covers various fields relevant to navigation, including Earth's magnetic field, gravity field, topography, celestial polarization field, electrostatic field, and relativistic celestial field effects. It introduces the principles and applications of navigation positioning using various natural field navigation and terrain-assisted methods, including gravity field navigation positioning, geomagnetic field navigation positioning, terrain-assisted navigation positioning, polarization field navigation positioning, electrostatic field navigation positioning, and relativistic effect verification. This book comprehensively introduces the algorithm principles and engineering implementation approaches, providing basic theoretical support for precision navigation positioning and deep space exploration. Based on the principles of gravity, geomagnetic, and terrain-assisted navigation positioning, corresponding to the universal gravitational force and Earth's rotation in Newtonian mechanics, it combines polarization field navigation positioning with the energy field effect of solar incident light waves, as well as electrostatic field navigation positioning with relativistic effect verification. This forms a relatively complete theoretical technical system and abstracts the mathematical essence of each link in the geomagnetic, gravity, and terrain navigation positioning systems. Taking mechanism exploration and algorithm implementation as the basic approach, it has confirmed the theoretical correctness and practical feasibility of natural field navigation positioning through verification with actual measurement data. This book is mainly targeted at professionals, researchers, students, and readers interested in deep space, deep Earth, deep sea, and polar exploration, as well as those working in the field of navigation positioning. It is of reference value in deep space, deep Earth, and deep sea exploration.