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Orbital study of the motion of spacecrafts

Abstract

The main goal of the present proposal is to continue the study of the methods used in the calculation of optimal space trajectories, from the point of view of minimum fuel consumption for a spacecraft to travel between two given orbits. Several choices for the dynamics, controller and optimization techniques will be considered. Classical methods (Hohmann transfer, bi-elliptical transfer, etc...) and modern methods (using gravitational capture and swing-bys) will be studied. It is a continuation of the research that the proponent developed during his master at the Instituto Nacional de Pesquisas Espaciais - INPE (Brazil, 1987-1989); training at the International Space University (France, 1989); Ph.D. at The Universidade of Texas (USA, 1990-1993), professor at the Mecânica Espacial e Controle graduate school at Instituto Nacional de Pesquisas Espaciais - INPE (Brazil, 1994-presente), researcher for CNPq (from august 1995 to the present time), proponent of a Jovem-Pesquisador-FAPESP from june-1996 to june-2000 (process 95/09290-1) and in several regular research project from FAPESP. There are many goals that this project is willing to reach. The main one is the realization of new and original research to generalize and/or amplify existent results and to develop new methods. In this task, many graduate and undergraduate students are already involved. (AU)

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Scientific publications (21)
(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)
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, . (11/08171-3, 11/05671-5, 11/09310-7, 12/21023-6)
DOMINGOS, R. C.; PRADO, A. F. B. A.; GOMES, V. M.. Effects of the Eccentricity of a Perturbing Third Body on the Orbital Correction Maneuvers of a Spacecraft. MATHEMATICAL PROBLEMS IN ENGINEERING, . (11/08171-3, 11/13101-4, 11/09310-7, 12/21023-6)
PRADO, A. F. B. A.; GOMES, V. M.. Searching for capture and escape trajectories around Jupiter using its Galilean satellites. COMPUTATIONAL & APPLIED MATHEMATICS, v. 34, n. 2, p. 451-460, . (11/08171-3, 11/13101-4, 11/09310-7, 12/21023-6)
DOMINGOS, R. C.; DE ALMEIDA PRADO, A. F. B.; VILHENA DE MORAES, R.. A study of the errors of the averaged models in the restricted three-body problem in a short time scale. COMPUTATIONAL & APPLIED MATHEMATICS, v. 34, n. 2, p. 507-520, . (11/08171-3, 11/09310-7, 12/21023-6)
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, . (11/05671-5, 11/09310-7)
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, . (11/08171-3, 11/05671-5, 11/09310-7)
SOUZA DOS SANTOS, DENILSON PAULO; BERTACHINI DE ALMEIDA PRADO, ANTONIO FERNANDO; ROCCO, EVANDRO MARCONI. The Study of the Asymmetric Multiple Encounters Problem and Its Application to Obtain Jupiter Gravity Assisted Maneuvers. MATHEMATICAL PROBLEMS IN ENGINEERING, . (11/09310-7, 11/08171-3, 09/16517-7)
PRADO, ANTONIO F. B. A.. Mapping orbits around the asteroid 2001SN(263). Advances in Space Research, v. 53, n. 5, p. 877-889, . (11/08171-3, 11/09310-7)
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, v. 2015, p. 11-pg., . (11/05671-5, 12/21023-6, 11/09310-7, 11/08171-3)
PRADO, A. F. B. A.; GOMES, V. M.. Searching for capture and escape trajectories around Jupiter using its Galilean satellites. COMPUTATIONAL & APPLIED MATHEMATICS, v. 34, n. 2, p. 10-pg., . (11/13101-4, 12/21023-6, 11/09310-7, 11/08171-3)
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, v. 2014, p. 10-pg., . (11/05671-5, 12/21023-6, 11/09310-7, 11/08171-3)
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, v. 2013, p. 7-pg., . (11/05671-5, 11/09310-7, 11/08171-3)
SOUZA DOS SANTOS, DENILSON PAULO; BERTACHINI DE ALMEIDA PRADO, ANTONIO FERNANDO; ROCCO, EVANDRO MARCONI. The Study of the Asymmetric Multiple Encounters Problem and Its Application to Obtain Jupiter Gravity Assisted Maneuvers. MATHEMATICAL PROBLEMS IN ENGINEERING, v. 2013, p. 12-pg., . (11/09310-7, 09/16517-7, 11/08171-3)
DOMINGOS, R. C.; BERTACHINI DE ALMEIDA PRADO, A. F.; DE MORAES, R. VILHENA. A Study of Single- and Double-Averaged Second-Order Models to Evaluate Third-Body Perturbation Considering Elliptic Orbits for the Perturbing Body. MATHEMATICAL PROBLEMS IN ENGINEERING, v. 2013, p. 11-pg., . (11/09310-7, 11/08171-3)
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, . (11/08171-3, 11/05671-5, 11/09310-7, 12/21023-6)
SANCHEZ, DIOGO M.; PRADO, ANTONIO F. B. A.; YOKOYAMA, TADASHI. On the effects of each term of the geopotential perturbation along the time I: Quasi-circular orbits. Advances in Space Research, v. 54, n. 6, p. 1008-1018, . (11/08171-3, 11/09310-7)
GOMES, VIVIAN MARTINS; BERTACHINI DE ALMEIDA PRADO, ANTONIO FERNANDO; GOLEBIEWSKA, JUSTYNA. Dynamics of Space Particles and Spacecrafts Passing by the Atmosphere of the Earth. SCIENTIFIC WORLD JOURNAL, . (11/08171-3, 11/13101-4, 11/09310-7)
DOMINGOS, R. C.; BERTACHINI DE ALMEIDA PRADO, A. F.; DE MORAES, R. VILHENA. A Study of Single- and Double-Averaged Second-Order Models to Evaluate Third-Body Perturbation Considering Elliptic Orbits for the Perturbing Body. MATHEMATICAL PROBLEMS IN ENGINEERING, . (11/08171-3, 11/09310-7)
DOMINGOS, R. C.; DE ALMEIDA PRADO, A. F. B.; VILHENA DE MORAES, R.. A study of the errors of the averaged models in the restricted three-body problem in a short time scale. COMPUTATIONAL & APPLIED MATHEMATICS, v. 34, n. 2, p. 14-pg., . (12/21023-6, 11/09310-7, 11/08171-3)
DOMINGOS, R. C.; PRADO, A. F. B. A.; GOMES, V. M.. Effects of the Eccentricity of a Perturbing Third Body on the Orbital Correction Maneuvers of a Spacecraft. MATHEMATICAL PROBLEMS IN ENGINEERING, v. 2014, p. 15-pg., . (11/13101-4, 12/21023-6, 11/09310-7, 11/08171-3)
GOMES, VIVIAN MARTINS; BERTACHINI DE ALMEIDA PRADO, ANTONIO FERNANDO; GOLEBIEWSKA, JUSTYNA. Dynamics of Space Particles and Spacecrafts Passing by the Atmosphere of the Earth. SCIENTIFIC WORLD JOURNAL, v. N/A, p. 6-pg., . (11/13101-4, 11/09310-7, 11/08171-3)

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