Numerical study of optimal trajectories with singular arcs for space launcher problems

Abstract : The subject of this paper is the study of singular arcs (i.e. with a non maximal thrust) for a space launcher problem. We consider a flight to the GTO orbit for a heavy multi-stage launcher (Ariane 5 class), and use a realistic physical model for the drag force and rocket thrust. As a preliminary result, we first solve the complete flight with stage separations, at full thrust. Then we focus on the first atmospheric climbing phase, to investigate the possible existence of optimal trajectories with singular arcs. We primarily use an indirect shooting method (based on Pontryagin's Minimum Principle), coupled to a continuation (homotopy) approach. Some additional experiments are made with a basic direct method, and confirm the solutions obtained by the shooting. We study two slightly different launcher models, and observe that modifying parameters such as the aerodynamic reference area and specific impulsion can indeed lead to optimal trajectories with either full thrust or singular arcs.
Document type :
Reports
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal.inria.fr/inria-00260180
Contributor : Rapport de Recherche Inria <>
Submitted on : Monday, March 3, 2008 - 2:53:22 PM
Last modification on : Monday, September 30, 2019 - 10:46:02 AM
Long-term archiving on : Friday, November 25, 2016 - 9:25:08 PM

File

RR-6460.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00260180, version 2

Citation

Pierre Martinon, Frédéric Bonnans, Julien Laurent-Varin, Emmanuel Trélat. Numerical study of optimal trajectories with singular arcs for space launcher problems. [Research Report] RR-6460, INRIA. 2008, pp.26. ⟨inria-00260180v2⟩

Share

Metrics

Record views

696

Files downloads

673