A new optimal orbit control for two-point boundary-value problem using generating functions

Mai Bando, Hiroshi Yamakawa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Citations (Scopus)

Abstract

The optimal control problem of a spacecraft using impulsive and continuous thrust where the terminal state and time interval are explicitly given is considered. Using a recently developed technique based on Hamilton-Jacobi theory, we develop a method to approximate the solution of the Hamilton-Jacobi equation which can solve the two-point boundary-value problem. The proposed method is based on the successive approximation and Galerkin spectral method with Chebyshev polynomials. This approach is expected to derive the analytical solution of the optimal control problem in the large domain. Numerical simulation is given to illustrate the theory.

Original languageEnglish
Title of host publicationSpaceflight Mechanics 2009 - Advances in the Astronautical Sciences
Subtitle of host publicationProceedings of the 19th AAS/AIAA Space Flight Mechanics Meeting
Pages245-260
Number of pages16
Publication statusPublished - Dec 1 2009
Externally publishedYes
Event19th AAS/AIAA Space Flight Mechanics Meeting - Savannah, GA, United States
Duration: Feb 8 2009Feb 12 2009

Publication series

NameAdvances in the Astronautical Sciences
Volume134
ISSN (Print)0065-3438

Other

Other19th AAS/AIAA Space Flight Mechanics Meeting
Country/TerritoryUnited States
CitySavannah, GA
Period2/8/092/12/09

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

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