Atribución-NoComercial 4.0 InternacionalRuiz M., Otto Raúl2019-06-282019-06-281983https://repositorio.unal.edu.co/handle/unal/42783Given a mechanical system (M,K,U) where M is a n-dimensional variety and the kinetic and potential energy K and U are three times differentiable, let E0 be a potential energy value such that {X ϵ M|U(x) ≤ E0} is homeomorphic to the n-dimensional disk, and its border B is the E0-equipotential surface. If (M,K,U) is a Finsler mechanical system, then any point of potential energy less than E0 can be joined to B by an orbit of total energy E0 which approaches a fixed point of B. If (M,K,U) is a Riemann mechanical system, the orbit can be made to turn back on itself after reaching B.application/pdfspaDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/Artículo de revistahttp://bdigital.unal.edu.co/32880/info:eu-repo/semantics/openAccessMechanical systemkinetic and potential energyhomeomorphicFinslermechanical systemRiemann / Sistema mecánicocinéticapotencial energéticohomeomorfoFinslersistema mecánicoRiemann