Trajectory generation using a Modified Simple Shooting Method

Ashley Trent, Ram Venkataraman, David Doman

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

13 Scopus citations


In this paper, we combine the theoretical result of Pontryagin's Minimum Principle and a new numerical method to obtain a fast algorithm for the trajectory design problem for a reusable launch vehicle. We work with the outer-loop equations for an aircraft and consider the angle-of-attack to be the input. We cast the trajectory design problem as an optimal control problem and use Pontryagin's Minimum Principle to obtain first order necessary conditions. These are in the form of a two-point boundary-value problem (TPBVP) and we solve them by means of the Modified Simple Shooting Method (MSSM). In recent work, the MSSM has been shown to be superior, both in speed and accuracy, for TPBVPs.

Original languageEnglish
Title of host publication2004 IEEE Aerospace Conference Proceedings
Number of pages7
StatePublished - 2004
Event2004 IEEE Aerospace Conference Proceedings - Big Sky, MT, United States
Duration: Mar 6 2004Mar 13 2004

Publication series

NameIEEE Aerospace Conference Proceedings
ISSN (Print)1095-323X


Conference2004 IEEE Aerospace Conference Proceedings
Country/TerritoryUnited States
CityBig Sky, MT


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