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Fast and high-precision conversion method for Earth fixed connection system-inertial system based on relative rotation

A conversion method, relative rotation technology, applied in the field of navigation

Inactive Publication Date: 2019-04-19
孙秀聪 +1
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Problems solved by technology

Users need to have a certain background knowledge to understand the theory of coordinate transformation from fixed to inertial system to use the program, which will cost extra time
Moreover, in the process of transforming the coordinate system, most of the intermediate variables and temporary variables do not need to be understood by the user

Method used

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  • Fast and high-precision conversion method for Earth fixed connection system-inertial system based on relative rotation
  • Fast and high-precision conversion method for Earth fixed connection system-inertial system based on relative rotation
  • Fast and high-precision conversion method for Earth fixed connection system-inertial system based on relative rotation

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Embodiment Construction

[0091] The following will combine figure 1 and the technical solution further describe the specific implementation process of the present invention in detail.

[0092] The present invention provides a fast and high-precision conversion method based on relative rotation of the earth's fixed system-inertial system, see figure 1 As shown, the steps are as follows:

[0093] Step 1: Initial parameter calculation

[0094] Calculate the given IERS data release time t by calling the subroutine iauUtcut1 of SOFA 0 (UTC), the corresponding time t of the next day 1 (i.e. t 0 UT1 time scale corresponding to +1) (UTC):

[0095] iauUtcut1(t.UTCJD1,t.UTCJD2,&t.UT1JD1,&t.UT1JD2)) (10)

[0096] In the above formula, t.UTCJD1 and t.UTCJD2 represent two parts of the Julian day represented by UTC time scale at time t,

[0097] Similarly, t.UT1JD1 and t.UT1JD2 are two parts of the Julian day represented by the UT1 time scale at time t. The release time t needs to be calculated separately ...

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Abstract

The invention relates to a fast and high-precision conversion method for an Earth fixed connection system-an inertial system based on relative rotation. The method comprises steps of 1, preparation; 2, initial parameter calculation; 3, outputting an ephemeris interpolation table; 4, reading the ephemeris interpolation table; 5, initializing a correlation matrix at the time t; and 6, solving a coordinate transformation matrix corresponding to the time t. A fast coordinate transformation calculation method for a fixed connection system-an inertial system based on relative rotation is brought forward through the steps above, and the method is used for calling relevant subroutines of SOFA only when the ephemeris interpolation table is generated in advance; after the ephemeris interpolation table is generated, only looking up the interval containing the corresponding to-be-solved time in the table, reading relevant parameters, performing linear interpolation and finally substituting valuesinto a corresponding matrix and completing three multiplication operations are required. The method consumes only a small amount of calculation, does not require too much astronomical theoretical background, is inexpensive and easy to implement, has important significance in guidance and navigation of aerospace, and can be used to quickly transform coordinates of the fixed connection system into coordinates of the inertial system. Compared with a traditional SOFA-based program method, the method greatly reduces complexity and can achieve the same function at small computational cost while guaranteeing certain precision.

Description

technical field [0001] The invention provides a fast and high-precision conversion method based on relative rotation of the earth's fixed system-inertial system, which involves a method for calculating the relative rotation angle of the coordinate transformation matrices at two times, and performing the transformation matrix between the fixed system-inertial system coordinates A fast calculation method belongs to the technical field of navigation. Background technique [0002] Considering that the earth’s fixed reference frame is not an inertial reference frame, Newton’s law of motion does not apply to this reference frame. However, in the calculation of guidance, navigation and control of spacecraft, it is usually necessary to use the inertial reference frame with the earth’s center of mass as the origin ( as in the celestial reference system). At present, in the aerospace industry, most satellite applications (such as satellite navigation, mission planning) need to obtain...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01C21/20G06F17/16
CPCG01C21/20G06F17/16
Inventor 孙秀聪高扬陈放黄景怀
Owner 孙秀聪
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