Constrained station change in GEO using a Legendre pseudo-spectral method

Seung Pil Kim, Robert G. Melton

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations


The algorithm for numerical approximation of the optimal control is formulated using a Legendre pseudo-spectral method to solve the problem of constrained station change in GEO. A collision avoidance term, which is included in the objective function as an integral form, is considered during transfer by specifying a maximum or minimum radius depending on whether the transfer is in the east or west-direction. Several east-and-west-direction station change transfer maneuvers are simulated; the histories of the states and control behavior are obtained and all the variables are found to be within feasible ranges. Multiple revolutions and large longitude station change cases are also demonstrated using this method. The transfer time is found to be only weakly affected by the initial thrust acceleration for the multi-revolution change cases. This method would be possible to implement using very low-thrust engines, in particular, by employing attitude control thrusters.

Original languageEnglish (US)
Pages (from-to)1941-1958
Number of pages18
JournalAdvances in the Astronautical Sciences
StatePublished - 2013
Event23rd AAS/AIAA Space Flight Mechanics Meeting, Spaceflight Mechanics 2013 - Kauai, HI, United States
Duration: Feb 10 2013Feb 14 2013

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science


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