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Euler angles, quaternions, and transformation matrices for space shuttle analysis

机译：用于航天飞机分析的欧拉角，四元数和变换矩阵

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摘要

Relationships between the Euler angles and the transformation matrix, the quaternion and the transformation matrix, and the Euler angles and the quaternion are analyzed, and equations developed are applied directly to current space shuttle problems. The twelve three-axis Euler transformation matrices as functions of the Euler angles, the equations for the quaternion as a function of the Euler angles, and the Euler angles as a function of the transformation matrix elements are included along with a group of utility subroutines to accomplish the Euler matrix, quaternion matrix, and Euler quaternion relationships.

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作者
Henderson, D. M.;
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年度 1977
页码 1-40
总页数 40
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
EULER EQUATIONS OF MOTION; MATRICES (MATHEMATICS); QUATERNIONS; SPACE SHUTTLES; TRANSFORMATIONS (MATHEMATICS); AIRBORNE/SPACEBORNE COMPUTERS; AXES OF ROTATION; ROTATING BODIES; SPACECRAFT MOTION;

机译：欧拉运动方程; maTRICEs（maTHEmaTICs）;四元;太空沙滩;转型（数学）; aIRBORNE / spaCEBORNE COmpUTERs;旋转轴;旋转机构;航天器运动;

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Euler angles, quaternions, and transformation matrices for space shuttle analysis

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