Attitude determination based on geometric relations

Ryzhkov, L. М.

doi:10.18372/1990-5548.49.11231

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Geometric Methods Of Problem Solution1

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“…This vector is situated in the plane of the noted circle and is perpendicular to the axis of rotation. There is a relation [11] b g u .…”

Section: Geometric Methods Of Problem Solutionmentioning

confidence: 99%

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Vector methods for determination of rigid body orientation

Ryzhkov

2022

MGS

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Vector methods for determining the orientation of a rigid body using information about vectors in the reference and body-related coordinate systems are considered. The analysis is based on the least squares method in vector-matrix form. This approach allows us to consider the application of different methods of solving the problem from a single standpoint: matrix (using the directional cosine matrix), geometric (using the Gibbs vector), quaternion (using the quaternion of rotation). Numerical evaluation of the accuracy of eight orientation determination algorithms obtained on the basis of these methods was performed.

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“…This vector is situated in the plane of the noted circle and is perpendicular to the axis of rotation. There is a relation [11] b g u .…”

Section: Geometric Methods Of Problem Solutionmentioning

confidence: 99%

“…1 shows the angle of rotation of the body , the axis of rotation of the body and the unit vector e of this axis. Specify the vectors o u a a  .There is a relation[11]…”

mentioning

confidence: 99%