Computation of periodic solutions of conservative systems with application to the 3-body problem

EJ Doedel, RC Paffenroth, HB Keller… - … Journal of Bifurcation …, 2003 - World Scientific
We show how to compute families of periodic solutions of conservative systems with two-
point boundary value problem continuation software. The computations include detection of …

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 …

Application of dynamical systems theory to trajectory design for a libration point mission

KC Howell, BT Barden, MW Lo - The Journal of the Astronautical Sciences, 1997 - Springer
Recently, there has been accelerated interest in missions utilizing trajectories near libration
points. The trajectory design issues involved in missions of such complexity go beyond the …

Quasihalo orbits associated with libration points

G Gómez, J Masdemont, C Simó - The Journal of the Astronautical …, 1998 - Springer
Quasihalo orbits are Lissajous trajectories librating about the well known halo orbits. The
main feature of these orbits is that they keep an exclusion zone in the same way that halo …

[PDF][PDF] Invariant manifolds, the spatial three-body problem and space mission design

G Gómez, WS Koon, MW Lo, JE Marsden… - AAS/AIAA …, 2001 - digitalsats.com
The invariant manifold structures of the collinear libration points for the spatial restricted
three-body problem provide the framework for understanding complex dynamical …

Low-thrust transfers in the Earth-Moon system, including applications to libration point orbits

MT Ozimek, KC Howell - Journal of Guidance, Control, and Dynamics, 2010 - arc.aiaa.org
WITHIN the last 25 years, libration point orbits have emerged as a valuable trajectory
alternative for spacecraft mission design. Beginning with the launch of the International Sun …

The flight of ISEE-3/ICE: origins, mission history, and a legacy

RW Farquhar - The Journal of the astronautical sciences, 2001 - Springer
A brief history of the ISEE-3/ICE mission is presented. ISEE-3/ICE was the first spacecraft to
use a “halo orbit” and lunar gravity-assist maneuvers to achieve its mission objectives. Using …

[PDF][PDF] Station-keeping 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 …

The origin of rR1 ring structures in barred galaxies

M Romero-Gomez, JJ Masdemont… - Astronomy & …, 2006 - aanda.org
We propose a new theory for the formation of rR 1 ring structures, ie for ring structures with
both an inner and an outer ring, the latter having the form of “8”. We propose that these rings …