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 …

Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics

WS Koon, MW Lo, JE Marsden, SD Ross - Chaos: An Interdisciplinary …, 2000 - pubs.aip.org
In this paper we apply dynamical systems techniques to the problem of heteroclinic
connections and resonance transitions in the planar circular restricted three-body problem …

Low energy transfer to the Moon

WS Koon, MW Lo, JE Marsden, SD Ross - Celestial mechanics and …, 2001 - Springer
Abstract In 1991, the Japanese Hiten mission used a low energy transfer with a ballistic
capture at the Moon which required less Δ V than a standard Hohmann transfer. In this …

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 …

Chebyshev–Taylor parameterization of stable/unstable manifolds for periodic orbits: implementation and applications

JD Mireles James, M Murray - International Journal of Bifurcation …, 2017 - World Scientific
This paper develops a Chebyshev–Taylor spectral method for studying stable/unstable
manifolds attached to periodic solutions of differential equations. The work exploits the …

[PDF][PDF] Constructing a low energy transfer between Jovian moons

WS Koon, MW Lo, JE Marsden… - Contemporary Mathematics, 2002 - academia.edu
There has recently been considerable interest in sending a spacecraft to orbit Europa, the
smallest of the four Galilean moons of Jupiter. The trajectory design involved in effecting a …

Integrability of Hamiltonian systems and differential Galois groups of higher variational equations

JJ Morales-Ruiz, JP Ramis, C Simó - Annales scientifiques de l'Ecole …, 2007 - Elsevier
Given a complex analytical Hamiltonian system, we prove that a necessary condition for its
meromorphic complete integrability is the commutativity of the identity component of the …

Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem

C Simó, TJ Stuchi - Physica D: Nonlinear Phenomena, 2000 - Elsevier
The classical Hill's problem is a simplified version of the restricted three body problem
(RTBP) where the distance of the two massive bodies (say, primary for the largest one and …

Low-energy, low-thrust transfers to the Moon

G Mingotti, F Topputo, F Bernelli-Zazzera - Celestial Mechanics and …, 2009 - Springer
The low-thrust version of the low energy transfers to the Moon exploiting the structure of the
invariant manifolds associated to the Lagrange point orbits is presented in this paper. A …

Heteroclinic connections between periodic orbits in planar restricted circular three-body problem–a computer assisted proof

D Wilczak, P Zgliczynski - Communications in mathematical physics, 2003 - Springer
The restricted circular three-body problem is considered for the following parameter values
C= 3.03, μ= 0.0009537–the values for the Oterma comet in the Sun-Jupiter system. We …