Ehresmann Connection in the Geometry of Nonholonomic Systems
Eight-shaped Lissajous orbits in the Earth-Moon system
Euler and Lagrange proved the existence of five equilibrium points in the circular restricted three-body problem. These equilibrium points are known as the Lagrange points (Euler points or libration points) . The existence of families of periodic and quasi-periodic orbits around these points is well known (see [20, 21, 22, 23, 37]). Among them, halo orbits are 3-dimensional periodic orbits diffeomorphic to circles. They are the first kind of the so-called Lissajous orbits. To be selfcontained,...
Energy and Momentum Conserving Methods of Arbitrary Order for the Numerical Integration of Equations of Motion. I. Motion of a Single Particle.
Energy Conserving, Arbitrary Order Numerical Solutions of the N-Body Problem.
Equations of motion of nonlinear nonholonomic systems with variable masses
Errata : “Generators for quasi-free completely positive semi-groups”
Existence and uniqueness for dynamical unilateral contact with Coulomb friction : a model problem
A simple dynamical problem involving unilateral contact and dry friction of Coulomb type is considered as an archetype. We are concerned with the existence and uniqueness of solutions of the system with Cauchy data. In the frictionless case, it is known [Schatzman, Nonlinear Anal. Theory, Methods Appl. 2 (1978) 355–373] that pathologies of non-uniqueness can exist, even if all the data are of class . However, uniqueness is recovered provided that the data are analytic [Ballard, Arch. Rational Mech....
Existence and uniqueness for dynamical unilateral contact with Coulomb friction: a model problem
A simple dynamical problem involving unilateral contact and dry friction of Coulomb type is considered as an archetype. We are concerned with the existence and uniqueness of solutions of the system with Cauchy data. In the frictionless case, it is known [Schatzman, Nonlinear Anal. Theory, Methods Appl.2 (1978) 355–373] that pathologies of non-uniqueness can exist, even if all the data are of class C∞. However, uniqueness is recovered provided that the data are analytic [Ballard, Arch. Rational...
Existence and uniqueness of solutions to dynamical unilateral contact problems with coulomb friction: the case of a collection of points
This study deals with the existence and uniqueness of solutions to dynamical problems of finite freedom involving unilateral contact and Coulomb friction. In the frictionless case, it has been established [P. Ballard, Arch. Rational Mech. Anal. 154 (2000) 199–274] that the existence and uniqueness of a solution to the Cauchy problem can be proved under the assumption that the data are analytic, but not if they are assumed to be only of class C∞. Some years ago, this finding was extended [P. Ballard...
Explication des irrégularités observées dans le mouvement d'Uranus, fondée sur l'hypothèse des perturbations causées par une planète plus éloignée; comprenant une détermination de la masse, de l'orbite et de la position du corps perturbant (suite et fin).
Explication des irrégularités observées dans le mouvement d'Uranus, fondée sur l'hypothèse des perturbations causées par une planète plus éloignée; comprenant une détermination de la masse, de l'orbite et de la position du corps perturbant.
Explicit Solutions of Classical Generalized Toda Models.
Exposition, d'après les principes de Jacobi, de la méthode suivie par M. Delaunay dans sa Théorie du Mouvement de la Lune autour de la Terre; extension de la méthode.
Exposition de la méthode de M. Gyldén pour le développement des perturbations des comètes
Extension des relations de Frenet aux courbes à points irréguliers
Extrait d'une Lettre à M. Hermite, relative à l'application des fonctions elliptiques à la théorie des perturbations.