@inproceedings{oai:jaxa.repo.nii.ac.jp:00007452, author = {平林, 正稔 and 森, 治 and 森本, 睦子 and 川口, 淳一郎 and Hirabayashi, Masatoshi and Mori, Osamu and Morimoto, Mutsuko Y. and Kawaguchi, Junichiro}, book = {第17回アストロダイナミクスシンポジウム講演後刷り集 2007, Proceedings of 17th Workshop on JAXA Astrodynamics and Flight Mechanics}, month = {Mar}, note = {本稿では、ダンベル形状の物体まわりの、質量の無視できる質点(以降、第3質点と呼ぶ)の運動の安定性について考察する。ダンベル形状物体は、2つの有限質量質点が剛棒で接合されている物体(以降、2質点と呼ぶ)であると模擬できる。この問題は、制限3体問題の特別な問題であると考えることができる。2つの自由度が存在するため、本稿では、この2つの自由度を無次元角速度、無次元質量で表現した。これによれば、2質点を通る直線上に3つ、またこの2質点の垂直2等分線上に2つで、計5つの平衡点が存在する。また、これらの平衡点のうち、垂直2等分線上の2質点にはさまれた点において安定な領域があることが示される。, This paper describes the stability of the Rotational Dumbbell shaped body. This problem, defined as the Rod-Connected Restricted Three Body Problem, is the special case of the Restricted Three-Body Problem, characterized by three bodies: two primary bodies connected each other by a rigid stick; and a mass-free body. While the Restricted Three-Body problem has only one degree of freedom, there are two degrees of freedom in this problem. By setting properly two parameters, described as the non-dimensional angular velocity and the mass ratio, both positions of equilibriums and stable regions are determined. In this paper, the stability in any type of those non-dimensional values is analyzed. There are five equilibriums and three stable points. Of these equilibriums, three points are along the line passing through two primary bodies, and the other two points are along the perpendicular bisector between two primary bodies. In addition, those stable points are comprised of two points which are along the perpendicular bisector between two primary bodies and a point which is along the line segment between two primary bodies., 資料番号: AA0063718015}, pages = {90--95}, 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 = {Analysis of equilibrium points of the three body problem for the formation of rotational of dumbbell-shaped body}, year = {2008} }