Rotations, Transformations, Left Quaternions, Right Quaternions?

被引:0
|
作者
Renato Zanetti
机构
[1] The University of Texas at Austin,Department of Aerospace Engineering and Engineering Mechanics
关键词
Rotations; Spacecraft attitude; Quaternion;
D O I
暂无
中图分类号
学科分类号
摘要
This paper surveys the two fundamental possible choices in representing the attitude of an aerospace vehicle: active and passive rotations. The consequences of the choice between the two are detailed for the two most common attitude parameterizations, a three-by-three orthogonal matrix and the quaternion. Successive rotations are also reviewed in this context as well as the attitude kinematic equations.
引用
收藏
页码:361 / 381
页数:20
相关论文
共 50 条
  • [41] Head Orientation Prediction: Delta Quaternions Versus Quaternions
    Himberg, Henry
    Motai, Yuichi
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (06): : 1382 - 1392
  • [42] On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions
    Flaut, Cristina
    Shpakivskyi, Vitalii
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2013, 23 (03) : 673 - 688
  • [43] Generalized Split Quaternions and Their Applications on Non-Parabolic Conical Rotations
    Duru, Mehmet
    Colakoglu, Harun Baris
    SYMMETRY-BASEL, 2023, 15 (09):
  • [44] Crystallographic Quaternions
    Katrusiak, Andrzej
    Llenga, Stiv
    SYMMETRY-BASEL, 2024, 16 (07):
  • [45] Arithmetic of quaternions
    Dickson, LE
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1922, 20 : 225 - 232
  • [46] On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions
    Cristina Flaut
    Vitalii Shpakivskyi
    Advances in Applied Clifford Algebras, 2013, 23 : 673 - 688
  • [47] Dihedralizing the Quaternions
    Macauley, Matthew
    AMERICAN MATHEMATICAL MONTHLY, 2024, 131 (04): : 294 - 308
  • [48] On Fibonacci Quaternions
    Halici, Serpil
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2012, 22 (02) : 321 - 327
  • [49] Understanding quaternions
    Goldman, Ron
    GRAPHICAL MODELS, 2011, 73 : 21 - 49
  • [50] QUATERNIONS IN RELATIVITY
    RASTALL, P
    REVIEWS OF MODERN PHYSICS, 1964, 36 (03) : 820 - &