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A Method of Obtaining Polar Region Inertial Navigation Errors Based on Earth Ellipsoid Model

An ellipsoid model and error equation technology, applied in the field of inertial navigation, can solve the problems affecting the accuracy of polar area navigation, the error of the mathematical model principle, and the inability to accurately describe the error propagation process, so as to reduce the impact of accuracy, improve the accuracy, and improve the model. The effect of accuracy

Active Publication Date: 2022-08-02
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

[0004] However, the existing error model for grid inertial calculation in the polar region is derived from the spherical model of the earth, and the error equation cannot accurately describe the error propagation process, which introduces a principle error into the mathematical model and affects integrated navigation and transfer alignment in the polar region the accuracy of

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  • A Method of Obtaining Polar Region Inertial Navigation Errors Based on Earth Ellipsoid Model
  • A Method of Obtaining Polar Region Inertial Navigation Errors Based on Earth Ellipsoid Model
  • A Method of Obtaining Polar Region Inertial Navigation Errors Based on Earth Ellipsoid Model

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[0054] The present invention will now be further described in conjunction with the embodiments and accompanying drawings:

[0055] 1. The relationship between the position error of the rectangular coordinate system and the longitude and latitude errors of the geographic coordinate system

[0056] The relationship between the position of the rectangular coordinate system and the longitude, latitude and height of the geographic coordinate system is the following formula, where: (x, y, z) represents the position of the rectangular coordinate system, (L, λ, h) represents the longitude and latitude of the geographic coordinate system. and height, e is the Earth's flattening.

[0057]

[0058] In a short period of time, it is considered that the principal curvature radius R of the earth's unitary circle N and the principal curvature radius R of the earth's meridian M The change is small and constant.

[0059] First-order full increment of Cartesian coordinate system error (δx,δy...

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Abstract

The invention relates to a method for obtaining a polar area inertial navigation error under the earth ellipsoid model. The calculation error source under the earth ellipsoid model is added to the attitude error equation; The grid velocity error is added to various error sources; the position error equation uses the rectangular coordinate system to solve the position, and the grid calculation value containing the grid position true value and the grid position error is added to the error source. Compared with the prior art, the effect: the present invention establishes the error model of the polar region inertial navigation solution under the earth ellipsoid model, reduces the influence of the earth sphere model on the accuracy of the error propagation process, improves the model accuracy, thereby improving the accuracy of the polar region. Accuracy of combined navigation and transfer alignment.

Description

technical field [0001] The invention belongs to the field of inertial navigation, and relates to a method for obtaining a polar region inertial navigation error under an earth ellipsoid model. Background technique [0002] The core of the inertial navigation system algorithm is the mechanics arrangement, there are two main types: the north position mechanics arrangement and the wandering orientation mechanics arrangement. The northerly position inertial navigation mechanics arrangement has a simple concept and clear physical meaning, but the northerly arrangement has problems such as azimuth calculation overflow and error amplification in high latitude regions. When the latitude increases, the calculation accuracy of the azimuth gyro command velocity term gradually decreases until the calculation overflows, and the horizontal velocity calculation error is seriously amplified, and even overflow occurs. Therefore, the pointing system cannot work normally in high latitudes, an...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01C25/00G06F17/12G06F17/13
CPCG01C25/005G06F17/12G06F17/13
Inventor 张通常晓飞符文星
Owner NORTHWESTERN POLYTECHNICAL UNIV
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