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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025 Number 2, Pages 95–99 (Mi vmumm4681)

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Simulation of trajectory parameters of object motion in pole areas using quasi-geodeticcoordinates

S. P. Ablyasova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The paper discusses the challenges of inertial navigation in polar regions, where it is impossible to determine longitude and true heading at the poles. To overcome this difficulty, we propose using quasi-coordinates and quasi-attitude angles as well as relevant quasi-Greenwich and quasi-geodetic reference frames. It is proved that the quasi-geodetic (quasi-geocentric) coordinates, quasi-angles of orientation, velocities of an object and inertial sensors readings can be simulated by using quasi-coordinates instead of traditional ones.

Key words: quasi-coordinates, geographic pole, trajectory simulation, simulation of inertial sensors readings.

UDC: 531

Received: 19.06.2024

DOI: 10.55959/MSU0579-9368-1-66-2-17


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2025, 80:2, 94–98

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© Steklov Math. Inst. of RAS, 2026