  We consider Hamiltonian functions of classical type, namely even and convex
with respect to the generalized momenta. A brake orbit is a periodic solution
of Hamilton's equations such that the generalized momenta are zero on two
different points. Under mild assumptions, this paper reduces the multiplicity
problem of the brake orbits for a Hamiltonian function of classical type to the
multiplicity problem of orthogonal geodesic chords in a concave Finslerian
manifold with boundary. This paper will be used for a generalization of a
Seifert's conjecture about the multiplicity of brake orbits to Hamiltonian
functions of classical type.
