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DETERMINATION OF OPTIMAL TRAJECTORIES IN THE DYNAMICS OF THE RESTRICTED PROBLEM OF THREE OR FOUR BODIES

Grant number: 12/25308-5
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): August 01, 2013
Effective date (End): July 31, 2017
Field of knowledge:Engineering - Aerospace Engineering - Flight Dynamics
Principal researcher:Sandro da Silva Fernandes
Grantee:Luiz Arthur Gagg Filho
Home Institution: Divisão de Ciências Fundamentais (IEF). Instituto Tecnológico de Aeronáutica (ITA). Ministério da Defesa (Brasil). São José dos Campos , SP, Brazil

Abstract

The main purpose of this research project is the study of optimal impulsive transfers in the dynamics of restricted problem of three or four bodies with application to lunar and interplanetary missions. The basic problem of optimization consists in transferring a spacecraft from a low circular orbit around the Earth to a low circular orbit around the Moon or a planet (Mars, in particular) by applying two impulses (instantaneous velocity changes) in order to minimize fuel consumption of the mission, represented by the total increment of velocity. Gradient techniques - gradient method and gradient with restoration method - will be applied in the determination of optimal solutions.

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Scientific publications (6)
(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)
GAGG FILHO, LUIZ ARTHUR; FERNANDES, SANDRO DA SILVA. A method based on Jacobi Integral variational equation for computing Earth-Moon trajectories in the four-body problem. ACTA ASTRONAUTICA, v. 165, p. 312-330, DEC 2019. Web of Science Citations: 0.
GAGG FILHO, LUIZ ARTHUR; FERNANDES, SANDRO DA SILVA. Interplanetary patched-conic approximation with an intermediary swing-by maneuver with the moon. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, n. 1, SI, p. 27-54, DEC 2018. Web of Science Citations: 1.
GAGG FILHO, LUIZ ARTHUR; FERNANDES, SANDRO DA SILVA. A study of Earth-Moon trajectories based on analytical expressions for the velocity increments. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, n. 1, SI, p. 338-364, DEC 2018. Web of Science Citations: 1.
GAGG FILHO, LUIZ ARTHUR; FERNANDES, SANDRO DA SILVA. Minimum fuel trajectories for round trip lunar missions. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, n. 3, p. 3608-3656, JUL 2018. Web of Science Citations: 0.
GAGG FILHO, LUIZ ARTHUR; FERNANDES, SANDRO DA SILVA. A study of the influence of the sun on optimal two-impulse Earth-to-Moon trajectories with moderate time of flight in the three-body and four-body models. ACTA ASTRONAUTICA, v. 134, p. 197-220, MAY 2017. Web of Science Citations: 5.
GAGG FILHO, LUIZ ARTHUR; FERNANDES, SANDRO DA SILVA. Optimal round trip lunar missions based on the patched-conic approximation. COMPUTATIONAL & APPLIED MATHEMATICS, v. 35, n. 3, p. 753-787, OCT 2016. Web of Science Citations: 3.

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