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Faculté des Sciences appliquées
Faculté des Sciences appliquées
MASTER THESIS
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Master thesis and internship[BR]- Master's thesis : Computation of satellite orbits around asteroids using the ManLab software[BR]- Integration Internship : ULiège

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Majer, Riccardo ULiège
Promotor(s) : Kerschen, Gaëtan ULiège
Date of defense : 4-Sep-2023/5-Sep-2023 • Permalink : http://hdl.handle.net/2268.2/18326
Details
Title : Master thesis and internship[BR]- Master's thesis : Computation of satellite orbits around asteroids using the ManLab software[BR]- Integration Internship : ULiège
Translated title : [fr] Calcul des orbites satellitaires autour des astéroïdes à l’aide du logiciel ManLab
Author : Majer, Riccardo ULiège
Date of defense  : 4-Sep-2023/5-Sep-2023
Advisor(s) : Kerschen, Gaëtan ULiège
Committee's member(s) : Leclère, Nicolas ULiège
Bruls, Olivier ULiège
Language : English
Number of pages : 71
Keywords : [en] ManLab
[en] Harmonic Balance Method
[en] Asteroid dynamics
[en] Gravitational model
[en] Circular restricted three body problem
[en] Periodic orbits
Discipline(s) : Engineering, computing & technology > Aerospace & aeronautics engineering
Institution(s) : Université de Liège, Liège, Belgique
Politecnico di Milano, Milano, Italy
Degree: Master en ingénieur civil en aérospatiale, à finalité spécialisée en "aerospace engineering"
Faculty: Master thesis of the Faculté des Sciences appliquées

Abstract

[en] The computation of periodic orbits in non-Keplerian dynamics is a critical issue for space missions,
mostly for those around irregular asteroids. The purpose of this thesis is to use a novel, frequency
domain, approach to solve the problem. The approach is based on the Harmonic Balance Method, a
well known method for the analysis of nonlinear vibrations, but never used before in astrodynamics.
In this thesis, it was used the Harmonic Balance Method implemented in ManLab, an interactive
path-following and bifurcation analysis software.
The study starts with a theoretical explanation about the circular restricted three body problem and
about the dynamical problem around asteroids. For the latter, the available gravitational model are
displayed in order to correctly select the one of interest. After this first theoretical introduction,
the classical methods used in the field are briefly discussed, and the theory behind the Harmonic
Balance Method and its ManLab implementation is introduced.
After this preliminary introduction the two problems are analyzed. For the circular restricted three
body problem, the analysis focus on the description of the bifurcations of the families of orbits
around the first Lagrangian point. For the problem around an asteroid a fictitious spherical asteroid,
for which some periodic orbits were computed and compared with the ones obtained through
time integration and through the classical Harmonic Balance Method.


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Author

  • Majer, Riccardo ULiège Université de Liège > Master ingé. civ. aérospat., à fin.

Promotor(s)

Committee's member(s)

  • Leclère, Nicolas ULiège Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
    ORBi View his publications on ORBi
  • Bruls, Olivier ULiège Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques
    ORBi View his publications on ORBi
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  • Total number of downloads 102










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