Řešení problému těles
Restricted three-body problems and the non-regularization of the elliptic collision restricted isosceles three-body problem.
Robust transitivity in hamiltonian dynamics
A goal of this work is to study the dynamics in the complement of KAM tori with focus on non-local robust transitivity. We introduce open sets () of symplectic diffeomorphisms and Hamiltonian systems, exhibitinglargerobustly transitive sets. We show that the closure of such open sets contains a variety of systems, including so-calleda priori unstable integrable systems. In addition, the existence of ergodic measures with large support is obtained for all those systems. A main ingredient of...
Several examples of nonholonomic mechanical systems
A unified geometric approach to nonholonomic constrained mechanical systems is applied to several concrete problems from the classical mechanics of particles and rigid bodies. In every of these examples the given constraint conditions are analysed, a corresponding constraint submanifold in the phase space is considered, the corresponding constrained mechanical system is modelled on the constraint submanifold, the reduced equations of motion of this system (i.e. equations of motion defined on the...
Simple orbit determination using GPS based on a least-squares algorithm employing sequential Givens rotations.
Sobre los sistemas mecánicos con enlaces.
A mathematical model is proposed in order to describe the behaviour of mechanical systems with constraints.
Solving non-holonomic Lagrangian dynamics in terms of almost product structures.
Given a Lagrangian system with non-holonomic constraints we construct an almost product structure on the tangent bundle of the configuration manifold such that the projection of the Euler-Lagrange vector field gives the dynamics of the system. In a degenerate case, we develop a constraint algorithm which determines a final constraint submanifold where a completely consistent dynamics of the initial system exists.
Some first integrals of differential equations of motion of a mechanical system.
Some initial conditions for disposed satellites of the systems GPS and Galileo constellations.
Some open problems in dynamical systems.
Some properties of collision and non-collision orbits for a class of singular dynamical systems
We present some regularity properties of periodic solutions to a class of singular potential problems and we discuss the existence of a regular solution.
Some remarks on the stability analysis in Robe's three body problem.
Spin-stabilized spacecrafts: analytical attitude propagation using magnetic torques.
Stability of equilibrium points in the photogravitational two-body problem.
Su di un sistema dissipativo soggetto a forze dipendenti dal tempo
Sul collasso di un ammasso di materia disgregata. Nota I
Starting from the considerations developed in [4], it is shown that the only forces at a distance exerted among the elements of an isolated spherical cluster of incoherent matter which, preserving homogeneity, is collapsing are those expressed by Newton's law of gravitation and those of the elastic type. Furthermore the reverse is shown, that is if the forces at a distance are of these two types during the collapse the homogeneity is preserved.
Sul collasso di un ammasso di materia disgregata. Nota II
With reference to Nota I, the hypothesis that the cluster is spherical is substituted by the hypothesis that it has an isotropic behaviour with respect to a given frame of reference with origin in an element internal to . The kinematical behaviour of during the collapse with respect to the frames of reference with origin in the elements of and in translatory motion with respect to is studied. This behaviour is the same with respect to each of such frames, which are in translatory motion...
Sul moto di un giroscopio in un campo gravitazionale centrale
Sulla legge di gravitazione universale. Nota I
Without making recourse to Newton's law of gravitation and starting from the concept of gravitational force, the concepts of active gravitational mass and of passive gravitational mass are introduced. Furthermore it is proved that they can be identified and that in Newton's law of gravitation the linear dependence on masses necessarily follows from the principle of superposition of simultaneous forces and from Newton's third law of dynamics.
Supplément au Mémoire sur le mouvement de rotation de la Terre.