TY - GEN
T1 - Semi-analytical methods in orbital dynamics
T2 - 2025 IAF Astrodynamics Symposium at the 76th International Astronautical Congress, IAC 2025
AU - Li, Ruilong
AU - Masdemont, Josep J.
AU - Gao, Chen
AU - Chen, Jianlin
AU - Zhu, Zhanxia
N1 - Publisher Copyright:
© 2025 International Astronautical Federation, IAF. All rights reserved.
PY - 2025
Y1 - 2025
N2 - We present the semi-analytical parameterization method and Floquet-based procedures to study different periodic orbits and their associated invariant manifolds in non-autonomous Hamiltonian systems. The approach includes the construction of a coordinate map and the associated reduced vector field, both expressed in the form of Fourier-Taylor expansions. The computational load and numerical sensitivity are benchmarked with respect to the manifold dimension and expansion orders. Focusing on the quasi-bicircular problem, the invariant manifolds in the neighborhood of dynamical equivalents of SEL1,2, EML1,2,3,4, the resonant 2:1 Halo orbit, as well as the 3:1 NRHO, are parameterized, and the accuracy and convergence are analysed based on posteriori error estimations.
AB - We present the semi-analytical parameterization method and Floquet-based procedures to study different periodic orbits and their associated invariant manifolds in non-autonomous Hamiltonian systems. The approach includes the construction of a coordinate map and the associated reduced vector field, both expressed in the form of Fourier-Taylor expansions. The computational load and numerical sensitivity are benchmarked with respect to the manifold dimension and expansion orders. Focusing on the quasi-bicircular problem, the invariant manifolds in the neighborhood of dynamical equivalents of SEL1,2, EML1,2,3,4, the resonant 2:1 Halo orbit, as well as the 3:1 NRHO, are parameterized, and the accuracy and convergence are analysed based on posteriori error estimations.
KW - Semi-analytical methods
KW - Sun-Earth-Moon system
KW - invariant manifolds
KW - parameterization method
KW - quasi-bicircular problem
UR - https://www.scopus.com/pages/publications/105036001817
U2 - 10.52202/083087-0067
DO - 10.52202/083087-0067
M3 - 会议稿件
AN - SCOPUS:105036001817
T3 - Proceedings of the International Astronautical Congress, IAC
SP - 772
EP - 791
BT - IAF Astrodynamics Symposium - Held at the 76th International Astronautical Congress, IAC 2025
PB - International Astronautical Federation, IAF
Y2 - 29 September 2025 through 3 October 2025
ER -