Abstract
Nonlinear normal modes (NNMs) are obtained for spacecraft relative motion in the case of bounded Keplerian reference orbits. For this purpose, the Lyapunov-Floquet transformation, invariant manifold-based order reduction, and time-dependent normal forms are employed on the third order extension of the Tschauner-Hempel equations to obtain the NNM manifolds and the reduced order dynamics on the NNMs. This approach extends the modal interpretation of relative orbital motion from the Hill-Clohessy-Wiltshire equations to the regime of elliptic reference orbits and large separation distances in which second and third order nonlinearities are non-negligible.
Original language | English (US) |
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Pages (from-to) | 191-200 |
Number of pages | 10 |
Journal | Acta Astronautica |
Volume | 153 |
DOIs | |
State | Published - Dec 2018 |
ASJC Scopus subject areas
- Aerospace Engineering