Analysis of orbits for scientific missions around natural celestial bodies

• Grant number: 13/26652-4
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: October 01, 2014
• End date: August 31, 2018
• Field of knowledge: Engineering - Aerospace Engineering - Flight Dynamics
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Rodolpho Vilhena de Moraes
• Grantee: Josué Cardoso dos Santos
• Host Institution: Faculdade de Engenharia (FEG). Universidade Estadual Paulista (UNESP). Campus de Guaratinguetá. Guaratinguetá , SP, Brazil
• Associated research grant: 12/21023-6 - Artificial satellite dynamics, AP.TEM
• Associated scholarship(s): 15/18881-9 - Investigation of the roto-translational dynamics: Reductions and Intermediaries, BE.EP.DR

Abstract

This project seeks the development of theories, building computer programs and obtaining favorable dynamic conditions that will be used in the planning of aerospace and scientific missions in regard to the stability of orbits of artificial satellites around natural celestial bodies. The studies are related to translational motion of natural and artificial celestial bodies, considering polygenic disturbances due to forces such as those ones due to non-sphericity of the central body and due to third body gravitational attraction. The equations of motion are developed in closed form to avoid expansions in eccentricity and inclination. For a description of canonical formalism the canonical Delaunay variables are used. The set of canonical equations, which are nonlinear differential equations, will be used to study the stability of orbits around celestial bodies such as "minor bodies" or "small bodies" (Solar System small bodies), which includes dwarf planets, planetary satellites, asteroids, comets and TNOs (acronym that refers to a group of celestial bodies in the solar system that includes dwarf planets and Main Belt asteroids-like bodies, and that are found in more distant orbits than the planet Neptune), etc. The bodies chosen for this project are: Europa, Ganymede, Encélados and Haumea. Emphasis will be given to the case of frozen orbits, which are defined as orbits that have almost constant values of eccentricity, inclination and argument of periapsis. The approach aims to search for frozen orbits around natural celestial bodies and analyze the stability of these orbits by applying a process of normalization of Hamiltonian. (AU)

Scientific publications

(4)

(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)

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., 2016-01-01. (13/26652-4, 12/21023-6, 14/06688-7, 11/08171-3, 11/05671-5, 15/18881-9)

CARVALHO, J. P. S.; CARDOSO DOS SANTOS, J.; PRADO, A. F. B. A.; VILHENA DE MORAES, R.. Some characteristics of orbits for a spacecraft around Mercury. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, p. 15-pg., 2018-12-01. (13/26652-4)

CARVALHO, J. P. S.; CARDOSO DOS SANTOS, J.; PRADO, A. F. B. A.; VILHENA DE MORAES, R.. Some characteristics of orbits for a spacecraft around Mercury. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, n. 1, SI, p. 267-281, DEC 2018. (13/26652-4)

DOS SANTOS, JOSUE CARDOSO; CARVALHO, JEAN P. S.; PRADO, ANTONIO F. B. A.; DE MORAES, RODOLPHO VILHENA. Lifetime maps for orbits around Callisto using a double-averaged model. ASTROPHYSICS AND SPACE SCIENCE, v. 362, n. 12, DEC 2017. (12/12539-9, 16/14665-2, 13/26652-4, 16/24561-0, 11/08171-3, 12/21023-6, 11/05671-5)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SANTOS, Josué Cardoso dos. Study of the dynamics around celestial bodies using analytical and semi-analytical techniques. 2018. Doctoral Thesis - Universidade Estadual Paulista (Unesp). Faculdade de Engenharia. Guaratinguetá Guaratinguetá.