Orbital dynamics of a simple solar photon thruster.
Orbites périodiques dans le problème des trois corps
Orbites périodiques des systèmes hamiltoniens du type de celui des trois corps
Oscillatory Solutions in the Planar Restricted Three-Body Problem.
Particle Dynamics Modelling of Cell Populations
Evolution of cell populations can be described with dissipative particle dynamics, where each cell moves according to the balance of forces acting on it, or with partial differential equations, where cell population is considered as a continuous medium. We compare these two approaches for some model examples
Periodic derivative of solutions to nonlinear differential equations
Periodic orbits close to elliptic tori and applications to the three-body problem
We prove, under suitable non-resonance and non-degeneracy “twist” conditions, a Birkhoff-Lewis type result showing the existence of infinitely many periodic solutions, with larger and larger minimal period, accumulating onto elliptic invariant tori (of hamiltonian systems). We prove the applicability of this result to the spatial planetary three-body problem in the small eccentricity-inclination regime. Furthermore, we find other periodic orbits under some restrictions on the period and the masses...
Periodic solutions for N-body type problems
Periodic solutions of hamiltonian systems of 3-body type
Periodic solutions of some problems of 3-body type
Periodic solutions to Lagrangian system
A classical mechanics Lagrangian system with even Lagrangian is considered. The configuration space is a cylinder . A large class of nonhomotopic periodic solutions has been found.
Periodic solutions with prescribed energy for some keplerian -body problems
Phase space of rolling solutions of the tippe top.
Pozoruhodná řešení problému těles
Precession of the perihelion within a generalized theory for the two body problem
Sulla base di una teoria generalizzata di Meccanica Classica per il problema dei Due Corpi, recentemente formulata dall'autore, si considera la questione della precessione del perielio dei pianeti, assente nel caso Newtoniano. Si mostra come la descrizione di questo fenomeno in tale teoria generalizzata è sostanzialmente equivalente a quella offerta dalla Relatività Generale.
Problème diophantien des moments et modèle d'Ising
Problème diophantien des moments et modèle d'Ising
Pyramidal central configurations and perverse solutions.
Reconstruction of the satellite orbit via orientation angles.
Réponse à la Note de M. Allégret sur le Problème des trois corps.