A Simple Time Domain Collocation Method to Precisely Search for the Periodic Orbits of Satellite Relative Motion. (25th September 2014)

• Record Type: Journal Article
• Authors: Yue, Xiaokui; Wang, Xuechuan; Dai, Honghua
• Other Names: Gomes Vivian Martins Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-09-25
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/854967
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : A numerical approach for obtaining periodic orbits of satellite relative motion is proposed, based on using the time domain collocation (TDC) method to search for the periodic solutions of an exact J 2 nonlinear relative model. The initial conditions for periodic relative orbits of the Clohessy-Wiltshire (C-W) equations or Tschauner-Hempel (T-H) equations can be refined with this approach to generate nearly bounded orbits. With these orbits, a method based on the least-squares principle is then proposed to generate projected closed orbit (PCO), which is a reference for the relative motion control. Numerical simulations reveal that the presented TDC searching scheme is effective and simple, and the projected closed orbit is very fuel saving.