In this research, we study the material point motion, in the field of a
homogeneous and unbounded, material rod. so we present the
Hamiltonian formalization of the problem and study the orbits
located in the plans perpendicular to the rod. We reve
al the
proprieties of symmetry of those orbits, and present the conditions
to its closure.
We also study the material point motion, in the field of a
homogeneous and bounded, material rod. We present the
Hamiltonian formalization of the problem, reveal the practicality of
the plan of symmetry, and we studied the motion in this plan. We
reveal the existence of unbounded or bounded planar orbits; some
of those are closed. We also reveal that when the angular velocity
isn't null, there are not orbits leading to a collision with the rod.
