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Safe landing area determination for a Moon lander by reachability analysis

Arslantas, Yunus and Oehlschlägel, Thimo and Sagliano, Marco (2016) Safe landing area determination for a Moon lander by reachability analysis. Acta Astronautica, 128, pp. 607-615. Elsevier. DOI: 10.1016/j.actaastro.2016.08.013 ISSN 0094-5765

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Abstract

In the last decades developments in space technology paved the way to more challenging missions like asteroid mining, space tourism and human expansion into the Solar System. These missions result in difficult tasks such as guidance schemes for re-entry, landing on celestial bodies and implementation of large angle maneuvers for spacecraft. There is a need for a safety system to increase the robustness and success of these missions. Reachability analysis meets this requirement by obtaining the set of all achievable states for a dynamical system starting from an initial condition with given admissible control inputs of the system. This paper proposes an algorithm for the approximation of nonconvex reachable sets (RS) by using optimal control. Therefore subset of the state space is discretized by equidistant points and for each grid point a distance function is defined. This distance function acts as an objective function for a related optimal control problem (OCP). Each infinite dimensional OCP is transcribed into a finite dimensional Nonlinear Programming Problem (NLP) by using Pseudospectral Methods (PSM). Finally, the NLPs are solved using available tools resulting in approximated reachable sets with information about the states of the dynamical system at these grid points. The algorithm is applied on a generic Moon landing mission. The proposed method computes approximated reachable sets and the attainable safe landing region with information about propellant consumption and time.

Item URL in elib:https://elib.dlr.de/106519/
Document Type:Article
Title:Safe landing area determination for a Moon lander by reachability analysis
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Arslantas, YunusYunus.Arslantas (at) dlr.dehttps://orcid.org/0000-0001-9924-2250
Oehlschlägel, ThimoUNSPECIFIEDUNSPECIFIED
Sagliano, MarcoMarco.Sagliano (at) dlr.deUNSPECIFIED
Date:November 2016
Journal or Publication Title:Acta Astronautica
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:128
DOI :10.1016/j.actaastro.2016.08.013
Page Range:pp. 607-615
Publisher:Elsevier
ISSN:0094-5765
Status:Published
Keywords:reachability, optimal control, trajectory optimization, moon lander
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Technik für Raumfahrtsysteme
DLR - Research theme (Project):R - Projekt ATON
Location: Bremen
Institutes and Institutions:Institute of Space Systems > Navigation and Control Systems
Deposited By: Arslantas, Yunus Emre
Deposited On:10 Oct 2016 16:59
Last Modified:10 Jan 2019 15:40

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