Harmonic balance method, asteroid, periodic, quasi periodic
Abstract :
[en] The harmonic balance method (HBM) is a well-known method to compute periodic
solutions of nonlinear systems in the frequency domain. The extension of
HBM to multiple frequencies for the computation of quasiperiodic solutions is
the multi-harmonic balance method (MHBM). Their applications to the field of
orbital propagation provide a simple and efficient alternative to the usual time domain
integration. When combined with Hill’s method, HBM also comes with a
straightforward approach to evaluate the Floquet multipliers, which indicate stability
loss and the presence of bifurcations. This study proposes the application of
HBM and MHBM to the classic circular restricted 3-body problem (CRTBP) and
the case of the asteroid 433 Eros.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Leclère, Nicolas ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M)
Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Language :
English
Title :
Propagation of periodic and quasiperiodic orbits using the harmonic balance method
