Hill Problem Analytical Theory to the Order Four. Application to the Computation of Frozen Orbits around Planetary SatellitesFrozen orbits of the Hill problem are determined in the double averaged problem, where short and long period terms are removed by means of Lie transforms. The computation of initial conditions of corresponding quasi periodic solutions in the non-averaged problem is straightforward for the perturbation method used provides the explicit equations of the transformation that connects the averaged and non-averaged models. A fourth order analytical theory reveals necessary for the accurate computation of quasi periodic, frozen orbits.
Lara, Martin (Real Observatorio de la Armada Spain)
Palacian, Jesus F. (Universidad Publica de Navarra Pamplona, Spain)
August 24, 2013
September 24, 2007
Publication: Proceedings of the 20th International Symposium on Space Flight Dynamics