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Investigation of the roto-translational dynamics: Reductions and Intermediaries

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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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
DOS SANTOS, JOSUE CARDOSO; FERRER, SEBASTIAN; SCHEERES, DANIEL J.. Study of the roto-orbital motion using intermediaries: numerical experiments. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 131, n. 6, . (15/18881-9)
PRADO, A. F. B. A.; CARDOSO DOS SANTOS, J.; CARVALHO, J. P. S.; VILHENA DE MORAES, R.; ZANETTI, R; RUSSELL, RP; OZIMEK, MT; BOWES, AL. STUDY OF PERTURBATION INTEGRALS APPLIED TO THE DYNAMICS OF SPACECRAFTS AROUND GALILEAN MOONS. ASTRODYNAMICS 2018, PTS I-IV, v. 158, p. 19-pg., . (13/26652-4, 12/21023-6, 14/06688-7, 11/08171-3, 11/05671-5, 15/18881-9)

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