Survey of station-keeping techniques for libration point orbits

M Shirobokov, S Trofimov, M Ovchinnikov - Journal of Guidance …, 2017 - arc.aiaa.org
SINCE the late 1970s, libration points and bounded trajectories around them have become
of practical interest, allowing a number of convenient and useful properties Keplerian motion …

Elemental periodic orbits associated with the libration points in the circular restricted 3-body problem

EJ Doedel, VA Romanov, RC Paffenroth… - … Journal of Bifurcation …, 2007 - World Scientific
We present an overview of detailed computational results for families of periodic orbits that
emanate from the five libration points in the Circular Restricted 3-Body Problem, as well as …

[图书][B] Mathematical aspects of classical and celestial mechanics

VI Arnolʹd, VV Kozlov, AI Neishtadt, I Iacob - 2006 - Springer
In this book we describe the basic principles, problems, and methods of cl-sical mechanics.
Our main attention is devoted to the mathematical side of the subject. Although the physical …

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 …

The parameterization method for invariant manifolds

A Haro, M Canadell, JL Figueras, A Luque… - Applied mathematical …, 2016 - Springer
Poincaré's program for the global analysis of a dynamical system starts by considering
simple solutions, such as equilibria and periodic orbits, together with their corresponding …

[图书][B] Low-energy lunar trajectory design

JS Parker, RL Anderson - 2014 - books.google.com
Based on years of research conducted at the NASA Jet Propulsion Laboratory, Low-Energy
Lunar Trajectory Design provides high-level information to mission managers and detailed …

The dynamics around the collinear equilibrium points of the RTBP

G Gómez, JM Mondelo - Physica D: Nonlinear Phenomena, 2001 - Elsevier
This paper is devoted to the analysis of an extended neighborhood of the collinear
equilibrium points of the restricted three body problem. The analysis is done using numerical …

Dynamics of synodic resonant near rectilinear halo orbits in the bicircular four-body problem

KK Boudad, KC Howell, DC Davis - Advances in Space Research, 2020 - Elsevier
As evidenced by the Global Exploration Roadmap, international interest exists in a new era
of human exploration of the solar system. Such an effort is commencing with the examination …

Chance-constrained model predictive control for near rectilinear halo orbit spacecraft rendezvous

JC Sanchez, F Gavilan, R Vazquez - Aerospace Science and Technology, 2020 - Elsevier
This work presents a robust Model Predictive Controller (MPC) to solve the problem of
spacecraft rendezvous in the context of the restricted three-body problem (R3BP) as will be …

Earth–Moon libration point orbit stationkeeping: theory, modeling, and operations

DC Folta, TA Pavlak, AF Haapala, KC Howell… - Acta Astronautica, 2014 - Elsevier
Abstract Collinear Earth–Moon libration points have emerged as locations with immediate
applications. These libration point orbits are inherently unstable and must be maintained …