@inproceedings{oai:jaxa.repo.nii.ac.jp:00007575, author = {梅原, 広明 and Umehara, Hiroaki}, book = {第15回アストロダイナミクスシンポジウム講演後刷り集 2005, Proceedings of 15th Workshop on JAXA Astrodynamics and Flight Mechanics}, month = {Mar}, note = {複数の人工衛星が地球周回軌道の1部を囲む有界領域を航行させるためのニアミス回避・燃費低減・自動制御を満たす軌道誘導則は線形力学であるにもかかわらず未だ構成されていない。導出の指針を得るために、より単純化されたモデルである自由空間の1次元航行をする複数宇宙機において3条件を満たす協調制御を解析した。宇宙機が2機あるいは3機の場合に、2機のニアミスを消費燃料最小の自動制御で回避する誘導則を導いた。しかし、3機によるニアミス回避を低燃費で行なうことが証明されなかったため、大域的な探索をするために区分2次となるペナルティ関数による最適化を試みる指針を与える。, Fuel-minimum optimization of one-dimensional traffic by multiple-spacecraft in the free space is analyzed as a bridge work between the potential-function guidance which enables automatic near-miss avoidance and the penalty-function guidance which performs fuel-minimum near-miss avoidance. In order to preserve the essence of cluster formation around the earth orbit, both proximity-synchronization avoidance during the control duration and the terminal synchronization are imposed on such a simple linear model. The former corresponds to near-miss avoidance and the latter is imitation of synchronized cluster formation. For two-spacecraft traffic, full avoidance with fuel minimization is expressed by the closed form, which means attainment of all the three requirement: near-miss avoidance, fuel minimization, and automatic control. For three-spacecraft traffic, automatic proximity avoidance by two spacecraft is achieved as the same way. Fuel-minimum avoidance of three-spacecraft proximity is, however, still unsolved. Then, simplified penalty-function guidance is formulated by the piecewise quadratic form., 資料番号: AA0063480010}, pages = {55--60}, publisher = {宇宙航空研究開発機構宇宙科学研究本部, Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency (JAXA/ISAS)}, title = {Multiple-spacecraft clustering by piecewise linear quadratic control}, year = {2006} }