Spin-stabilized spacecrafts: analytical attitude propagation using magnetic torques.
The homogeneity properties of two different families of geometric objects playing a crutial role in the non-autonomous first-order dynamics - semisprays and dynamical connections on - are studied. A natural correspondence between sprays and a special class of homogeneous connections is presented.
In some preceding works we consider a class of Boltz optimization problems for Lagrangian mechanical systems, where it is relevant a line , regarded as determined by its (variable) curvature function of domain . Assume that the problem is regular but has an impulsive monotone character in the sense that near each of some points to is monotone and is very large. In [10] we propose a procedure belonging to the theory of impulsive controls, in order to simplify into a structurally...
Soit une variété différentiable de dimension paire munie d’une 2-forme différentielle fermée générique . L’apparition éventuelle d’un lieu de dégénérescence du rang de est l’obstacle à ce que soit une structure symplectique. Nous étudions les propriétés géométriques de et nous caractérisons l’algèbre des hamiltoniennes admissibles de i.e. les fonctions différentiables qui possèdent un champ hamiltonien sur .