Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency (JAXA)
雑誌名
アストロダイナミクスシンポジウム講演後刷り集
雑誌名(英)
Proceedings of 18th workshop on JAXA Astrodynamics and flight mechanics
巻
2008
発行年
2009-03
会議概要（会議名, 開催地, 会期, 主催者等）（英）
Symposium on Flight Mechanics and Astrodynamics 2008 (July 28-29, 2008. Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency (JAXA)), Sagamihara, Kanagawa Japan
We use the direction cosine matrix (DCM) describing geometrical relation in 3 dimensional space. For computational purpose the DCM results skew and off norm problem, so we use a unit quaternion that present the coordinate conversion as a rotation about an axis, equivalent to operate by the DCM. The 3 dimensional vector geometry using unit quaternion applied widely in attitude and orbit problem in space. Unit quaternion is a rotational operator that rotates a set of coordinate axis about rotational axes to form another set of coordinate axis. So the error should be treated as a ratio in quaternion that differ from unit quaternion reducing scalar part magnitude from 1. Average value of quaternion should be geometrical mean of unit quaternion. Applied to attitude determination problem, it result good estimation.
四元数について: 衛星姿勢の逐次推定への応用例
