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 …

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 …

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 …

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 …

Study of the transfer from the Earth to a halo orbit around the equilibrium pointL 1

G Gómez, A Jorba, J Masdemont, C Simó - Celestial Mechanics and …, 1993 - Springer
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 …

[PDF][PDF] Station-kee** strategies for translunar libration point orbits

G Gómez, KC Howell, J Masdemont… - Advances in …, 1998 - researchgate.net
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 …

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 …

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 …

Optimal transfers between unstable periodic orbits using invariant manifolds

KE Davis, RL Anderson, DJ Scheeres… - Celestial Mechanics and …, 2011 - Springer
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 …

[PDF][PDF] Some zero cost transfers between libration point orbits

G Gómez, J Masdemont - Advances in the Astronautical Sciences, 2000 - researchgate.net
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 …