The dynamics of the G ring of Saturn: the satellite Aegaeon and the arc
Dynamical formation of trans-Neptunian detached objects near mean motion resonance...
| Grant number: | 15/18881-9 |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| Effective date (Start): | December 01, 2015 |
| Effective date (End): | November 30, 2016 |
| Field of knowledge: | Physical Sciences and Mathematics - Astronomy - Positional Astronomy and Celestial Mechanics |
| Principal Investigator: | Rodolpho Vilhena de Moraes |
| Grantee: | Josué Cardoso dos Santos |
| Supervisor: | Daniel Jay Scheeres |
| Host Institution: | Faculdade de Engenharia (FEG). Universidade Estadual Paulista (UNESP). Campus de Guaratinguetá. Guaratinguetá , SP, Brazil |
| Research place: | University of Colorado Boulder, United States |
| Associated to the scholarship: | 13/26652-4 - Analysis of orbits for scientific missions around natural celestial bodies, BP.DR |
Abstract The purpose of this project is to develop a study concerning the roto-translational dynamics of an asymmetric rigid body, considering this body under the influence of a central gravitational field. A Hamiltonian theory will be studied as a perturbed form of the Keplerian motion and torque-free rotation. A chain of canonical transformations will be considered: the elimination of the nodes and the elimination of the parallax will be used to reduce the degree of freedom of the problem and simplifies the resulting Hamiltonian, which will be shaped as a radial intermediary part plus a remainder one. Some features of the integrable intermediary will be analyzed and the normalized system in closed form will be seek in order to complete the solution. | |
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