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Applied Physics and Mathematics

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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.

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