Polar region inertial navigation method based on virtual ball normal vector model

Abstract

The invention relates to a polar region inertial navigation method based on a virtual ball normal vector model. The method comprises steps of initial navigation parameters being bound, and the real-time data information from an IMU inertial measurement unit and an altimeter being received; establishing a virtual ball normal vector model, and completing quaternion-based position representation andnavigation parameter conversion; establishing a differential equation based on the position, speed and attitude of the virtual ball normal vector model under the earth-centered earth-fixed coordinatesystem, and completing the calculation of navigation parameters according to the data information received in real time; and converting the navigation parameters under the earth-centered earth-fixed coordinate system into required navigation parameters under the coordinate system and outputting the required navigation parameters. The quadruple position representation method has global applicability, and avoids complex switching between a polar region and a non-polar region in a traditional scheme. The method only relates to accurate curvature radius calculation of the meridian circle and the mortise unitary circle in the reference ellipsoid model, an error problem caused by approximate curvature radius calculation under the reference ellipsoid model in a traditional method is avoided, andcalculation precision is improved.

Description

technical field [0001] The invention relates to the technical field of navigation, in particular to a polar area inertial navigation method based on a virtual spherical normal vector model. Background technique [0002] With the development of polar routes, polar navigation has become a research hotspot in recent years. Because inertial navigation has excellent autonomy and is not affected by geomagnetic changes and solar storms in polar regions, inertial navigation has become an important means of navigation in polar regions. [0003] The current traditional position representation method is to use latitude and longitude (horizontal longitude and horizontal latitude) elevation to represent the position. However, since all longitudes meet at the poles, the longitudes at the poles are not defined, and there is a singularity in the representation method of latitude and longitude positions. In addition, when the vehicle is close to the pole, this representation method will le...

AI Technical Summary

Problems solved by technology

Using the abscissa system or the grid system for navigation calculation will produce a principle error under the spherical model, and the accuracy cannot be guaranteed. The calculation process of the radius of curvature in multiple directions is complicated under the ellipsoid model; The radius of curvature at the pole is also difficult to obtain accurately due to the convergence of meridians. There are errors in the calculation of attitude and velocity in the polar area. When the inertial navigation itself has position errors, the resulting errors will be more significant.

[0005] The grid coordinate syste

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