A New Mixed Iterative Algorithm to Solve the Fuel-Optimal Linear Impulsive Rendezvous Problem

详细信息    查看全文

• 作者：D. Arzelier (1) (2)
  C. Louembet (1) (2)
  A. Rondepierre (3)
  M. Kara-Zaitri (1) (2)
  
• 关键词：Orbital rendezvous ; Fuel optimal space trajectories ; Primer vector theory ; Impulsive maneuvers ; Linear equations of motion
• 刊名：Journal of Optimization Theory and Applications
• 出版年：2013
• 出版时间：October 2013
• 年：2013
• 卷：159
• 期：1
• 页码：210-230
• 全文大小：
• 作者单位：D. Arzelier (1) (2)
  C. Louembet (1) (2)
  A. Rondepierre (3)
  M. Kara-Zaitri (1) (2)
  
  1. CNRS, LAAS, 7 avenue du colonel Roche, 31400, Toulouse, France
  2. Université de Toulouse, LAAS, 31400, Toulouse, France
  3. IMT, 118 route de Narbonne, 31400, Toulouse, France
  
• ISSN：1573-2878

文摘

The optimal fuel impulsive time-fixed rendezvous problem is reviewed. In a linear setting, it may be reformulated as a non-convex polynomial optimization problem for a pre-specified fixed number of velocity increments. Relying on variational results previously published in the literature, an improved mixed iterative algorithm is defined to address the issue of optimization over the number of impulses. Revisiting the primer vector theory, it combines variational tests with sophisticated numerical tools from algebraic geometry to solve polynomial necessary and sufficient conditions of optimality. Numerical examples under circular and elliptic assumptions show that this algorithm is efficient and can be integrated into a rendezvous planning tool.