Inverse Transformation of Elliptical Relative State Transition Matrix

• 作者: Chao Han Jianfeng Yin Yinrui Rao
• 来源期刊: 天文学与天体物理学国际期刊(英文)
• 学科: 数学
• 关键词: RELATIVE ORBIT Elements ELLIPTICAL Formation FLYING RELATIVE State Transition Matrix Inverse Transformation POISSON BRACKET
• 年，卷（期）: 2014,（3）
• 页码范围: 419-428
• 页数: 10页
• 分类号: O1

摘要

A new set of relative orbit elements (ROEs) is used to derive a new elliptical formation flying model in previous work. In-plane and out-of-plane relative motions can be completely decoupled, which benefits elliptical formation design. In order to study the elliptical control strategy and perturbation effects, it is necessary to derive the inverse transformation of the relative state transition matrix based on relative orbit elements. Poisson bracket theory is used to obtain the linear transformations between the two representations: the relative orbit elements and the geocentric orbital frame. In this paper, the details of these transformations are presented.