Resumen de Frozen orbits around a prolate body

Víctor Lanchares Barrasa , Ana Isabel Pascual Lería , Juan Félix San Juan Díaz

• For a satellite orbiting a prolate body we determine the class of the so called frozen orbits, a kind of trajectories for which either the eccentricity and the argument of the perigee are close to be stationary. This is done after an averaging procedure that produces a one degree of freedom Hamiltonian system retaining the main qualitative features of the original one. This reduced system can be studied in a systematic way in order to calculate the equilibrium solutions, directly related to the frozen orbits.