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航天器交会中的Lambert问题 被引量:20

Lambert's Problem in Spacecraft Rendezvous
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摘要 应用Lagrange转移时间方程研究空间交会中的Lambert问题,包括经典Lambert问题(飞行弧段不足一圈的椭圆型轨道转移)与多圈Lambert问题(飞行圈数超过一圈的轨道转移),阐述转移轨道的几何特性与转移轨道类型,分析转移时间与转移轨道参数及变轨速度增量之间的关系。对航天器交会中常用的圆轨道之间的双冲量转移,给定转移角与转移时间,阐述最小变轨速度增量所对应的转移圈数与轨道参数的求解方法,提出满足最小变轨速度增量要求的轨道转移的图解法。对给定的初始分离角与交会时间,按最小变轨速度增量要求,确定航天器交会的初始漂移时间、双冲量轨道转移时间与终端停泊时间。 Lambert's problem is studied for spacecraft rendezvous. Main geometrical properties of transfer orbit are interpreted. The Lagrange equation for transfer time was used to analyze the relationship between the transfer-time and orbital parameters. A graph method was presented to find the optimal transfer revolution; and the minimum-△v, fixed-time, two-impulse rendezvous between two spacecraft orbiting along two coplanar unidirectional circular orbits were studied. For a given rendezvous time and an initial separation angle, optimal initial and termingal coasting periods can be found via a comparing-one-by-one method to obtain the globally minimum-△v.
出处 《中国空间科学技术》 EI CSCD 北大核心 2006年第6期49-55,共7页 Chinese Space Science and Technology
关键词 Lambert问题 航天交会 转移轨道 Lambert's problem Space rendezvous Transfer orbit
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参考文献5

  • 1Battin R H.An Introduction to the Mathematics and Methods of Astrodynamics.AIAA Education Series,AIAA,Reston,VA,1999. 被引量:1
  • 2Kaplan M H.Modern Spacecraft Dynamics and Control.Wiley,1976. 被引量:1
  • 3Haijun Shen,Panagiotis Tsiotras.Optimal Two-Impulse Rendezvous Using Multiple-Revolution Lambert Solutions.Journal of Guidance,Control,and Dynamics,2003,26(1) 被引量:1
  • 4Prussing J E.Geometrical Interpretation of the Angles α and β in Lambert's Problem.Journal of Guidance Control,and Dynamics,1979,2(5) 被引量:1
  • 5Prussing J E.A Class of Optimal Two-Impulse Rendezvous Using Multiple-Revolution Lambert Solutions.Advances in the Astronautical Sciences,Univelt.Inc.San Diego,CA,2000,106 被引量:1

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