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Stability analysis for planetary satellites orbits

Grant number: 11/05671-5
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): August 01, 2011
Effective date (End): July 31, 2014
Field of knowledge:Engineering - Aerospace Engineering
Principal Investigator:Rodolpho Vilhena de Moraes
Grantee:Jean Paulo dos Santos Carvalho
Home Institution: Instituto de Ciência e Tecnologia (ICT). Universidade Federal de São Paulo (UNIFESP). Campus São José dos Campos. São José dos Campos , SP, Brazil

Abstract

Low-altitude, near-polar, near-circular orbits are very desirable as science orbits for missions to planetary satellites, such as the Jupiter's moon Europa. However, past research suggests that a spacecraft into a low-altitude, near-polar orbit around Europa will have an impact in a relatively short time. Frozen orbits around the Moon, natural satellites, asteroids, or are current interest because of various space missions that aim to orbit around such bodies. For this, an approach on stability of these orbits around planetary satellites will be developed to study the orbital motion of artificial satellites around planetary satellites, for example, the Moon and Europa, considering the gravitational perturbation due to the planet and the non-uniform distribution of mass of the planetary satellite. Will be developed semi-analytical approach that will be used in a version of KAM theorem as presented by Kovalev and Saychenko. We present an analytical development to study the stability of equilibrium points of conservative dynamical systems involving the normalization of the Hamiltonian (with two and three degrees of freedom), where is applied the Lie-Hori perturbation method. An application will be made to a problem taking into account the non-uniform distribution of mass of the planetary satellite and the perturbation of the third-body where the equations will be developed in closed form which is valid for a range of applications. A set of parameters will be established (synchronous orbits, inclinations critical, polar orbits, frozen orbits, etc.) that can be used for maintenance of spacecraft in orbit in exploratory missions to planetary satellites. This analysis of stability is of fundamental importance for aerospace research to ensure the success of space missions. An application of the problem considered here is the study of orbital maneuvers necessary for the maintenance of a Keplerian orbit within certain ranges, where the goal is to correct the orbit change was due to perturbations over time. Considering this question, the dynamics studied here is the problem of transferring a spacecraft between two given orbits with minimum fuel consumption possible. In such a transfer there are several other important factors, such as, for example, time spent on the transfer limits on the actuators and/or condition of the vehicle, etc. However, in this work, the fuel consumption is the critical element of our maneuvers, although the time required by the maneuver is also considered.

Scientific publications (7)
(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; 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. Web of Science Citations: 1.
CARVALHO, J. P. S.; VILHENA DE MORAES, R.; PRADO, A. F. B. A.; MOURAO, D. C.; WINTER, O. C. Analysis of the orbital evolution of exoplanets. COMPUTATIONAL & APPLIED MATHEMATICS, v. 35, n. 3, p. 847-863, OCT 2016. Web of Science Citations: 1.
CARVALHO, J. P. S.; MOURAO, D. C.; VILHENA DE MORAES, R.; PRADO, A. F. B. A.; WINTER, O. C. Exoplanets in binary star systems: on the switch from prograde to retrograde orbits. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 124, n. 1, p. 73-96, JAN 2016. Web of Science Citations: 7.
VENDITTI, FLAVIANE C. F.; PRADO, ANTONIO F. B. A. Mapping Orbits regarding Perturbations due to the Gravitational Field of a Cube. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015. Web of Science Citations: 1.
CARVALHO, J. P. S.; DE MORAES, R. VILHENA; PRADO, A. F. B. A. Searching Less Perturbed Circular Orbits for a Spacecraft Travelling around Europa. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014. Web of Science Citations: 6.
DOS SANTOS CARVALHO, JEAN PAULO; DE MORAES, RODOLPHO VILHENA; BERTACHINI DE ALMEIDA PRADO, ANTONIO FERNANDO. Dynamics of Artificial Satellites around Europa. MATHEMATICAL PROBLEMS IN ENGINEERING, 2013. Web of Science Citations: 6.
CARVALHO, J. P. S.; MOURAO, D. C.; ELIPE, A.; DE MORAES, R. VILHENA; PRADO, A. F. B. A. FROZEN ORBITS AROUND EUROPA. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 22, n. 10 OCT 2012. Web of Science Citations: 8.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.