A Simple Time Domain Collocation Method to Precisely Search for the Periodic Orbits of Satellite Relative Motion
Joint Authors
Yue, Xiaokui
Wang, Xuechuan
Dai, Honghua
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-25
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yue, Xiaokui& Wang, Xuechuan& Dai, Honghua. 2014. A Simple Time Domain Collocation Method to Precisely Search for the Periodic Orbits of Satellite Relative Motion. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1046510
Modern Language Association (MLA)
Yue, Xiaokui…[et al.]. A Simple Time Domain Collocation Method to Precisely Search for the Periodic Orbits of Satellite Relative Motion. Mathematical Problems in Engineering No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1046510
American Medical Association (AMA)
Yue, Xiaokui& Wang, Xuechuan& Dai, Honghua. A Simple Time Domain Collocation Method to Precisely Search for the Periodic Orbits of Satellite Relative Motion. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1046510
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1046510