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Dynamical systems, the three-body problem and space mission design
WS Koon, MW Lo, JE Marsden… - Equadiff 99: (In 2 Volumes …, 2000 - World Scientific
This paper concerns heteroclinic connections and resonance transitions in the planar
circular restricted 3-body problem, with applications to the dynamics of comets and asteroids …
circular restricted 3-body problem, with applications to the dynamics of comets and asteroids …
Connecting orbits and invariant manifolds in the spatial restricted three-body problem
G Gómez, WS Koon, MW Lo, JE Marsden… - …, 2004 - iopscience.iop.org
The invariant manifold structures of the collinear libration points for the restricted three-body
problem provide the framework for understanding transport phenomena from a geometrical …
problem provide the framework for understanding transport phenomena from a geometrical …
Near rectilinear halo orbits and nearby higher-period dynamical structures: orbital stability and resonance properties
EM Zimovan-Spreen, KC Howell, DC Davis - Celestial Mechanics and …, 2020 - Springer
Near rectilinear halo orbits (NRHOs), a subset of the L_1 L 1 and L_2 L 2 halo orbit families,
are strong candidates for a future inhabited facility in line with the goals for NASA's long-term …
are strong candidates for a future inhabited facility in line with the goals for NASA's long-term …
A review of periodic orbits in the circular restricted three-body problem
R Zhang - Journal of Systems Engineering and Electronics, 2022 - ieeexplore.ieee.org
This review article aims to give a comprehensive review of periodic orbits in the circular
restricted three-body problem (CRTBP), which is a standard ideal model for the Earth-Moon …
restricted three-body problem (CRTBP), which is a standard ideal model for the Earth-Moon …
Study of the transfer from the Earth to a halo orbit around the equilibrium pointL 1
The purpose of this paper is to study a transfer strategy from the vicinity of the Earth to a halo
orbit around the equilibrium point L 1 of the Earth-Sun system. The study is done in the real …
orbit around the equilibrium point L 1 of the Earth-Sun system. The study is done in the real …
[PDF][PDF] Station-kee** strategies for translunar libration point orbits
Spacecraft in orbits near the collinear libration points are proving to be excellent platforms
for scientific investigations of various phenomena. Since such libration point trajectories are …
for scientific investigations of various phenomena. Since such libration point trajectories are …
High-order expansions of invariant manifolds of libration point orbits with applications to mission design
JJ Masdemont* - Dynamical Systems, 2005 - Taylor & Francis
This paper deals with two methodologies for computing the stable and unstable manifolds of
libration point orbits in series expansions. One of the procedures is based on the Lindstedt …
libration point orbits in series expansions. One of the procedures is based on the Lindstedt …
Survey on advances in orbital dynamics and control for libration point orbits
M Xu, Y Liang, K Ren - Progress in Aerospace Sciences, 2016 - Elsevier
Libration point orbits (LPOs) have drawn a lot of interest because of their great significance
in deep space exploration. This paper summarizes the past developments and then …
in deep space exploration. This paper summarizes the past developments and then …
Optimal transfers between unstable periodic orbits using invariant manifolds
This paper presents a method to construct optimal transfers between unstable periodic orbits
of differing energies using invariant manifolds. The transfers constructed in this method …
of differing energies using invariant manifolds. The transfers constructed in this method …
[PDF][PDF] Some zero cost transfers between libration point orbits
The phase spaces restricted to the center manifold in a neighbourhood of the collinear
equilibrium points of the Restricted Three Body Problem, contain a full description of the …
equilibrium points of the Restricted Three Body Problem, contain a full description of the …