Virtual Polar Region Method Based on the Earth’s Transverse Ellipsoid Model

Abstract

Experimental verification is very important for the research of inertial navigation and integrated navigation technology, but most researchers do not have the opportunity to conduct experiments directly in the polar regions. In order to solve the problem of inertial navigation verification in high latitude areas, a virtual polar region method based on transverse ellipsoid model is proposed. The method converts the reference information, initial state, and inertial sensor data into polar regions based on the transverse geographic coordinate system and can ensure that the attitude, velocity, and altitude information relative to the local-level frame remain unchanged. Therefore, the actual test data in the middle and low latitudes can be reconstructed accurately in the polar region without singularities, trajectory deformation, and principle errors. Simulation and vehicle tests show that the proposed method can achieve the same verification effect as the actual polar experiment.

Quantitative Study of the T-AVIM-Based Simulated IMU Error in Polar Regions

“…Second, another method of rotating the Earth Centered Earth Fixed (ECEF) coordinate system twice is adopted to transfer the trajectory to the polar region [7], which cannot solve the deformation problem of the surface trajectory since the Earth is approximately an ellipsoid. Third, adopting the trajectory transfer principle of T-AVIM [8][9][10][11] or a grid coordinate system (G-AVIM [12,13]) and using the recursion method of the reference velocity to construct the polar reference trajectory solves the problem of trajectory deformation caused by different surface curvatures. The mathematical relationship between the simulated IMU in the polar region and actual IMU in the mid-low latitudes of this method is also deduced in the above literature.…”

Polar Region Integrated Navigation Method Based on Covariance Transformation

“…It is difficult to conduct experiments in the polar region. A purely mathematical simulation cannot accurately reflect real aircraft situations [19]. To solve this problem, the authors of [19,20] proposed a virtual polar-region method based on the t-frame or the G-frame.…”

“…A purely mathematical simulation cannot accurately reflect real aircraft situations [19]. To solve this problem, the authors of [19,20] proposed a virtual polar-region method based on the t-frame or the G-frame. In this way, the experimental data from middle and low latitude regions can be converted to the polar region.…”