Formulary of geodesics of the projected averaged Kepler Hamiltonian
Résumé
This short note gives the quadratures of the geodesics of the averaged Hamiltonian of the controlled Kepler equation (energy criterion) projected on $\SS^2$. The endpoints of the corresponding cut locus are also deduced, as well as the injectivity radius of the associated Riemannian metric on the $2$-sphere.
Domaines
Optimisation et contrôle [math.OC]
Origine : Fichiers produits par l'(les) auteur(s)