Applied Physics and Mathematics Annotation << Back Synthesis of spatial trajectories of analytical models and their application to solving satellite navigation S.V. Sokolov The traditional solution of the navigation problem of a moving object by satellite measurements involves the numerical solution of equations, constructed by the code and Doppler measurements at least four satellites. In view of the impossibility of navigation in a traditional way when you are in the zone of visibility of less than 4 satellites, remains relevant task of developing navigation algorithms that reduce the minimum number of satellites based on the use of additional information about the movement of the object. This information serves as the navigation information in advance of known high accuracy of spatial trajectories (railways, highways, etc.), which is now moving fairly broad class of objects (rail, road, air transport, etc.). In this paper the possibility of synthesis of three-dimensional analytical models based on adequate ways assumptions about the trajectory of the path and the possibility of their use in solving the problem of satellite navigation to reduce staff constellation and computational costs, and improve the positioning accuracy of the object. Synthesis of spatial models considered for the way the spherical Earth in the Greenwich coordinate system for the two most important to the practice of the spatial variations of object motion – motion the great circle and rhumb line. Keywords: code and Doppler measurements, analytical models of spatial trajectories, great circle, rhumb line. Contacts: E-mail: s.v.s.888@yandex.ru Pp. 03-12.