In the book of the famous specialist in the field of inertial navigation, new approaches to the processing of navigation information have been further developed. New results obtained by the team headed by the author are described in the development of algorithmic support of navigation systems and complexes using the GPS / Glonass satellite navigation system. The results and perspectives of the application of inertial systems for geophysical prospecting of minerals - aviation gravimetry are presented. The book is of interest for specialists in the field of navigation technology, senior students of the relevant specialty. The book is completely in English.