The Exact Solution of the Riccati-Type Approximate Kinematic Equation and its Application to Construct a Quaternion Algorithm for Determining Orientation of a Strapdown INS
Autor: | T. V. Molodenkova, S. E. Perelyaev, Ya. G. Sapunkov, A. V. Molodenkov |
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Rok vydání: | 2020 |
Předmět: |
Angle of rotation
010504 meteorology & atmospheric sciences Computation 010401 analytical chemistry Angular velocity Rigid body 01 natural sciences 0104 chemical sciences Exact solutions in general relativity Kinematics equations Orientation (geometry) Quaternion Algorithm 0105 earth and related environmental sciences Mathematics |
Zdroj: | 2020 27th Saint Petersburg International Conference on Integrated Navigation Systems (ICINS). |
DOI: | 10.23919/icins43215.2020.9133965 |
Popis: | The exact solution of the Riccati-type approximate quaternion equation has made it possible to solve the problem of determining the quaternion of orientation of a rigid body for an arbitrary angular velocity and small angle of rotation of a rigid body with the help of quadratures (the truncated Darboux problem is actually solved). Proceeding from this solution, the following approach to the design of a new algorithm for computation of strapdown INS orientation is proposed. |
Databáze: | OpenAIRE |
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