Modified inverse-polynomial shaping approach with thrust and radius constraints

The shape-based low-thrust trajectory approximation with modified inverse polynomials is studied by considering thrust and radius constraints, which require that the thrust-acceleration magnitude be less than a maximum allowed value and the trajectory radius be between a lower bound and an upper bound. Compared with the original inverse-polynomial method, the polynomial orders in the modified one are optimized. For the time-free transfer between circular orbits, it is proved that the radius monotonously changes, and the maximum thrust acceleration is obtained by solving a cubic polynomial which is the first-order expansion at half of the transfer angle. For a given maximum thrust acceleration, the minimum revolution number is analytically estimated. For the time-fixed rendezvous between circular orbits, the seventh parameter is solved by the secant method in its feasible range considering the radius constraints. The maximum tangent-thrust-acceleration magnitude is estimated by solving real roots of a polynomial, and then the feasible solutions for a given maximum acceleration are determined. Numerical examples show that the maximum thrust acceleration by the proposed modified inverse-polynomial method is less than that by the original inverse-polynomial method for both the orbit transfer and rendezvous problems.

• Record URL:
  https://doi.org/10.1177/0954410015579473
• Record URL:
  http://pig.sagepub.com/cgi/content/abstract/229/13/2506
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/oclc/19966973
• Supplemental Notes:
  • Reprinted by permission of Sage Publications, Ltd.
• Authors:
  • Wang, Dongzhe
  • Zhang, Gang
  • Cao, Xibin
• Publication Date: 2015-11

Language

• English

Media Info

• Media Type: Digital/other
• Features: Appendices; Figures; References; Tables;
• Pagination: pp 2506-2518
• Serial:
  • Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering
  • Volume: 229
  • Issue Number: 13
  • Publisher: Sage Publications, Incorporated
  • ISSN: 0954-4100
  • EISSN: 2041-3025
  • Serial URL: http://pig.sagepub.com/

Subject/Index Terms

• TRT Terms: Acceleration (Mechanics); Polynomials; Radius; Thrust; Vehicle trajectories
• Subject Areas: Aviation; Vehicles and Equipment;

Filing Info

• Accession Number: 01602182
• Record Type: Publication
• Files: TRIS
• Created Date: Jun 1 2016 1:38PM