Solution to lambert's problem using generalized canonical transformations

Mai Bando, Hiroshi Yamakawa

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

1 引用 (Scopus)

抜粋

In this paper, we consider the canonical transformations and its applications appearing in astrodynamic problems. First we address stabilization of relative motion via generalized canonical transformation and passivity-based control. Then we propose a method to solve Lambert's problem based on the Hamilton-Jacobi-Bellman (HJB) equation in optimal control theory. Using the generalized canonical transformation, we transform the performance index to positive- definite one and then solve the optimal control problem. We also apply our method to obtain solution to two-point boundary-value problem by the generating function. As an application of the generating functions approach, we consider the problem of multiple flyby mission with impulsive thrust.

元の言語英語
ホスト出版物のタイトルSpaceflight Mechanics 2010 - Advances in the Astronautical Sciences
ホスト出版物のサブタイトルProceedings of the AAS/AIAA Space Flight Mechanics Meeting
ページ587-603
ページ数17
出版物ステータス出版済み - 12 1 2010
外部発表Yes
イベントAAS/AIAA Space Flight Mechanics Meeting - San Diego, CA, 米国
継続期間: 2 14 20102 17 2010

出版物シリーズ

名前Advances in the Astronautical Sciences
136
ISSN(印刷物)0065-3438

その他

その他AAS/AIAA Space Flight Mechanics Meeting
米国
San Diego, CA
期間2/14/102/17/10

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

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  • これを引用

    Bando, M., & Yamakawa, H. (2010). Solution to lambert's problem using generalized canonical transformations. : Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences: Proceedings of the AAS/AIAA Space Flight Mechanics Meeting (pp. 587-603). (Advances in the Astronautical Sciences; 巻数 136).