Volume 35 Issue 11
Nov.  2009
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Tong Kewei, Zhou Jianping, He Linshu, et al. Generalized multiple-revolution Lambert algorithm for solving multiple-impulse rendezvous problem[J]. Journal of Beijing University of Aeronautics and Astronautics, 2009, 35(11): 1398-1402. (in Chinese)
Citation: Tong Kewei, Zhou Jianping, He Linshu, et al. Generalized multiple-revolution Lambert algorithm for solving multiple-impulse rendezvous problem[J]. Journal of Beijing University of Aeronautics and Astronautics, 2009, 35(11): 1398-1402. (in Chinese)

Generalized multiple-revolution Lambert algorithm for solving multiple-impulse rendezvous problem

  • Received Date: 07 Nov 2008
  • Publish Date: 30 Nov 2009
  • Techniques based on a high efficient high precision Battin multiple-revolution Lambert algorithm were extended to a generalized multiple-revolution Lambert algorithm which can consider orbital perturbations. The approach is difficult to understand but is high efficient with a simple calculation flow which needs only several inner and outer iterations. A unified multiple-revolution multiple-impulse rendezvous planning framework was proposed by combining the generalized multiple-revolution Lambert algorithm and a feasible iteration rendezvous approach. A two-step optimization method was used to solve this difficult multi-variable engineering optimization problem which first utilizing a high efficient evolutionary algorithm with an analytical orbit model for global search, then a sequential quadratic programming algorithm was used with a simplified high precision orbit model for local optimization. The proposed method can guarantee to solve multiple-revolution multiple-impulse rendezvous problem with high efficiency and precision. The demonstration validates that it is very suitable for rendezvous planning problem with practical engineering constraints.

     

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