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Orbital dynamics of minor bodies

Grant number: 11/08171-3
Support type:Research Projects - Thematic Grants
Duration: May 01, 2012 - April 30, 2017
Field of knowledge:Engineering - Aerospace Engineering
Principal Investigator:Othon Cabo Winter
Grantee:Othon Cabo Winter
Home Institution: Faculdade de Engenharia (FEG). Universidade Estadual Paulista (UNESP). Campus de Guaratinguetá. Guaratinguetá , SP, Brazil
Co-Principal Investigators:Antônio Fernando Bertachini de Almeida Prado ; Ernesto Vieira Neto ; Rodolpho Vilhena de Moraes ; Silvia Maria Giuliatti Winter
Associated grant(s):15/19880-6 - Aster project: analysis of the mission to the triple asteroid, AV.EXT
13/09134-0 - A study of double and single second order averaged models to evaluate third body perturbation considering elliptic orbits for the perturbing body, PUB.ART
13/07670-1 - The study of the asymmetric multiple encounters problem and its application to obtain Jupiter gravity assisted maneuvers, PUB.ART
+ associated grants 13/02281-7 - A compound model for the origin of Earth's water, PUB.ART
13/00960-4 - 23rd AAS/AIAA space flight mechanics meeting, AR.EXT
12/17365-9 - Evasive maneuvers in space debris environment and technological parameters, PUB.ART - associated grants
Associated scholarship(s):16/18418-0 - Search for orbits around the lagrangian points of a triple asteroid and orbital transfers, BP.DR
16/18613-7 - Gravity assisted Orbital Maneuvers for missions to asteroids, BP.MS
16/07248-6 - Study of orbits for space vehicles travelling around asteroids, BP.DR
+ associated scholarships 16/03727-7 - Studies on the dynamics of Chariklo's rings, BP.MS
16/01430-7 - Study of equilibrium points and less perturbed orbits related to asteroid systems in full Restricted Three-Body Problem, BP.PD
15/26019-5 - Spin orbit coupling in solar system dynamics, BP.PD
16/03830-2 - Terrestrial planets formation: the case of inefficient colisions, BP.IC
16/01467-8 - Dynamics of narrow planetary rings and small satellites, BP.PD
15/15588-9 - The stability of the Solar System dynamical evolution via Nice Model, BP.DR
14/22293-2 - Mapping orbits around the lagrangian points in a triple asteroid, BP.MS
14/04126-1 - Evolution of a binary system under the tidal effects, BP.IC
13/24281-9 - Study of the giant planet's satellites formation using bi-dimensional hydrodynamics numerical integration with star perturbation, BP.DR
13/03233-6 - Dynamics, control and reconfiguration of satellite formation flight around Lagrangian points, BP.PD
13/18814-4 - Origins of the irregular satellites of Jupiter: capture mechanisms and their plausibility under the known Solar System evolution scenarios, BP.PD
13/05803-4 - The effects of the eletromagnetic force on small ring particles, BP.IC
12/21340-1 - Orbital maneuvers involving gravitational capture and flattening of the primaries, BP.IC
12/19976-5 - Gravitational capture of small bodies by gas drag using hydrodynamics equations, BP.IC
12/12539-9 - Stability of frozen orbits around planetary satellites using the Hamiltonian system in its normalized form, BP.MS
09/16517-7 - Optimal space trajectories using solar electric propulsion (Sep) and gravity assisted maneuver, with genetic algorithm, BP.PD - associated scholarships

Abstract

In orbital dynamics, minor bodies are those that have size (and mass) much smaller than at least one of the other bodies (called primaries) of the system that belong to. One case very common in astronautics is the case of a spacecraft traveling within the Earth-Moon system. This kind of characteristic makes the dynamics of the system to present some peculiarities. One of them is the fact that the minor body, in general, does not significantly affect the orbital evolution of the primaries. However, in the case of having an expressive amount of minor bodies interacting with a primary body, an accumulative effect of the angular momentum exchange occurs, leading the primary body to significant orbital changes (orbital migrations). In the case of gravitational interactions between minor bodies, there can happen a variety of different outcomes, depending on physical and dynamical parameters of these bodies. Among the possibilities of outcomes is the collision between the bodies, which can result in fragmentation and/or accretion of the bodies involved. Other possibility is the scattering of these bodies, resulting in expressive orbital changes for both of them. In orbital dynamics there are many fields of study based on collective of minor bodies. This apply to satellite constellations, formation flight, clouds of space debris, families of irregular satellites, proto-planetary discs and planetary rings, for example. The goal of this Thematic Project is to gather researchers, with solid scientific experience in Orbital Dynamics, to explore, in a systematic and coordinated way, the theme Orbital Dynamics of Minor Bodies. In this project will be developed studies that tackle from the question of fundamentals, as the phenomenon of collision and the development of gravitational potential of minor bodies (which, in general, are highly irregular), up to the most varied and relevant applications in astronautics (orbital evolution of satellites and spacecrafts, orbital maneuvers, evolution of space debris clouds, space missions to explore asteroids, etc ) and planetary dynamics (origin and formation of planetary systems, of families of irregular satellites, of groups of asteroids, orbital evolution of planetary rings systems, etc).The project is distributed in four interconnected parts classified as: A) Collision, Fragmentation and Accretion Coordinated by Ernesto Vieira Neto; B) Gravitational Potential Coordinated by RodolphoVilhena de Moraes; C) Orbital Maneuvers Coordinated by Antonio Fernando Bertachini de Almeida Prado; D) Clouds, Rings and Discs Coordinated by Silvia Maria Giuliatti Winter. The above listed researchers will coordinate the respective part of the project. However, each one of the four parts will be developed by at least three of the five main researchers, together with other collaborators (researchers and students). All parts will be developed simultaneously, existing direct connections among them. In special, the studies to be developed in parts (A) Collision, Fragmentation and Accretion and (B) Gravitational Potential will be applied in the other two parts and will receive inputs from them along their developments. For example, collision is a basic question in the generation and evolution of space debris, as well as, in the studies of planetary formation and formation of families of irregular planetary satellites. In the case of the gravitational potential of irregular bodies, the development of these potentials will be fundamental in the studies of the orbital evolution and maneuvers of spacecraft exploring these bodies, as well as, in the studies of natural satellites and particles that orbit around them. (AU)

Articles published in Agência FAPESP Newsletter about the research grant
New model for asteroid belt formation is described 
Astronomers develop new model to explain the formation of Mars 
Brazilian researchers develop a model of the origin of water on Earth  
Articles published in Pesquisa FAPESP Magazine about the research grant:
Danger nearby 
Why Mars is so small 
Danger near Pluto 
Danger near Pluto 

Scientific publications (62)
(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)
FERREIRA, ALESSANDRA F. S.; PRADO, ANTONIO F. B. A.; WINTER, OTHON C. Planar powered Swing-By maneuvers to brake a spacecraft. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, n. 1, SI, p. 202-219, DEC 2018. Web of Science Citations: 3.
FORMIGA, JORGE KENNETY S.; GOMES, VIVIAN MARTINS; DE MORAES, RODOLPHO VILHENA. Orbital effects in a cloud of space debris making a close approach with the earth. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, n. 1, SI, p. 133-143, DEC 2018. Web of Science Citations: 0.
SALAZAR, F. J. T.; WINTER, O. C.; MCINNES, C. R. Collecting solar power by formation flying systems around a geostationary point. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, n. 1, SI, p. 84-95, DEC 2018. Web of Science Citations: 1.
ARAUJO, R. A. N.; WINTER, O. C.; SFAIR, R. Rings under close encounters with the giant planets: Chariklo versus Chiron. Monthly Notices of the Royal Astronomical Society, v. 479, n. 4, p. 4770-4777, OCT 2018. Web of Science Citations: 0.
MORAES, R. A.; KLEY, W.; VIEIRA NETO, E. Growth and evolution of satellites in a Jovian massive disc. Monthly Notices of the Royal Astronomical Society, v. 475, n. 1, p. 1347-1362, MAR 2018. Web of Science Citations: 2.
WINTER, OTHON C.; SOUZA, ALEXANDRE P. S.; SFAIR, RAFAEL; GIULIATTI WINTER, SILVIA M.; MOURAO, DANIELA C.; FORYTA, DIETMAR W. Particles Co-orbital to Janus and to Epimetheus: A Firefly Planetary Ring. ASTROPHYSICAL JOURNAL, v. 852, n. 1 JAN 1 2018. Web of Science Citations: 0.
ARAUJO, R. A. N.; MORAES, R. V.; PRADO, A. F. B. A.; WINTER, O. C. Mapping stable direct and retrograde orbits around the triple system of asteroids (45) Eugenia. Monthly Notices of the Royal Astronomical Society, v. 472, n. 4, p. 3999-4006, DEC 2017. Web of Science Citations: 0.
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.
NEGRI, RODOLFO BATISTA; BERTACHINI DE ALMEIDA PRADO, ANTONIO FERNANDO; SUKHANOV, ALEXANDER. Studying the errors in the estimation of the variation of energy by the ``patched-conics{''} model in the three-dimensional swing-by. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 129, n. 3, p. 269-284, NOV 2017. Web of Science Citations: 4.
TORRES DOS SANTOS, LEONARDO BARBOSA; BERTACHINI DE ALMEIDA PRADO, ANTONIO F.; SANCHEZ, DIOGO MERGUIZO. Lifetime of a spacecraft around a synchronous system of asteroids using a dipole model. ASTROPHYSICS AND SPACE SCIENCE, v. 362, n. 11 NOV 2017. Web of Science Citations: 0.
COUTO OLIVEIRA, GERALDO MAGELA; PRADO, ANTONIO F. BERTACHINI DE A.; SANCHEZ, DIOGO MERGUIZO; GOMES, VIVIAN MARTINS. Orbital transfers in an asteroid system considering the solar radiation pressure. ASTROPHYSICS AND SPACE SCIENCE, v. 362, n. 10 OCT 2017. Web of Science Citations: 2.
DE ALMEIDA, JR., A. K.; PRADO, ANTONIO F. B. A.; SANCHEZ, DIOGO M.; YOKOYAMA, TADASHI. SEARCHING FOR ARTIFICIAL EQUILIBRIUM POINTS TO PLACE SATELLITES ``ABOVE AND BELOW{''} L-3 IN THE SUN-EARTH SYSTEM. REVISTA MEXICANA DE ASTRONOMIA Y ASTROFISICA, v. 53, n. 2, p. 349-359, OCT 2017. Web of Science Citations: 1.
SILVA NETO, J. B.; SANCHEZ, D. M.; PRADO, A. F. B. A.; SMIRNOV, G. V. ON THE USE OF CONTROLLED RADIATION PRESSURE TO SEND A SATELLITE TO A GRAVEYARD ORBIT. REVISTA MEXICANA DE ASTRONOMIA Y ASTROFISICA, v. 53, n. 2, p. 321-332, OCT 2017. Web of Science Citations: 1.
GASPAR, H. S.; WINTER, O. C.; VIEIRA NETO, E. The asteroid belt outer region under jumping-Jupiter migration. Monthly Notices of the Royal Astronomical Society, v. 470, n. 3, p. 2680-2686, SEP 2017. Web of Science Citations: 0.
MUNOZ-GUTIERREZ, M. A.; WINTER, S. GIULIATTI. Long-term evolution and stability of Saturnian small satellites: Aegaeon, Methone, Anthe and Pallene. Monthly Notices of the Royal Astronomical Society, v. 470, n. 3, p. 3750-3764, SEP 2017. Web of Science Citations: 2.
FERREIRA, ALESSANDRA F. S.; PRADO, ANTONIO F. B. A.; WINTER, OTHON C. A numerical mapping of energy gains in a powered Swing-By maneuver. NONLINEAR DYNAMICS, v. 89, n. 2, p. 791-818, JUL 2017. Web of Science Citations: 12.
MURCIA PINEROS, JHONATHAN ORLANDO; BERTACHINI DE ALMEIDA PRADO, ANTONIO FERNANDO. Powered aero-gravity-assist maneuvers considering lift and drag around the Earth. ASTROPHYSICS AND SPACE SCIENCE, v. 362, n. 7 JUL 2017. Web of Science Citations: 7.
PINHEIRO MASAGO MESCOLOTTI, BRUNA YUKIKO; BERTACHINI DE ALMEIDA PRADO, ANTONIO FERNANDO; MARINS CHIARADIA, ANA PAULA; GOMES, VIVIAN MARTINS. Searching for some natural orbits to observe the double asteroid 2002CE(26). ASTROPHYSICS AND SPACE SCIENCE, v. 362, n. 7 JUL 2017. Web of Science Citations: 0.
SALAZAR, F. J. T.; MCINNES, C. R.; WINTER, O. C. Periodic orbits for space-based reflectors in the circular restricted three-body problem. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 128, n. 1, p. 95-113, MAY 2017. Web of Science Citations: 5.
FERREIRA, ALESSANDRA F. S.; PRADO, ANTONIO F. B. A.; WINTER, OTHON C.; SANTOS, DENILSON P. S. Effects of the eccentricity of the primaries in powered Swing-By maneuvers. Advances in Space Research, v. 59, n. 8, p. 2071-2087, APR 15 2017. Web of Science Citations: 13.
TORRES DOS SANTOS, LEONARDO BARBOSA; BERTACHINI DE ALMEIDA PRADO, ANTONIO F.; SANCHEZ, DIOGO MERGUIZO. Equilibrium points in the restricted synchronous three-body problem using a mass dipole model. ASTROPHYSICS AND SPACE SCIENCE, v. 362, n. 3 MAR 2017. Web of Science Citations: 2.
IZIDORO, ANDRE; RAYMOND, SEAN N.; PIERENS, ARNAUD; MORBIDELLI, ALESSANDRO; WINTER, OTHON C.; NESVORNY, DAVID. THE ASTEROID BELT AS A RELIC FROM A CHAOTIC EARLY SOLAR SYSTEM. ASTROPHYSICAL JOURNAL, v. 833, n. 1 DEC 10 2016. Web of Science Citations: 10.
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.
FORMIGA, JORGE KENNETY S.; DOS SANTOS, DENILSON P. S. Orbital maneuvers to reach and explore a triple asteroid. COMPUTATIONAL & APPLIED MATHEMATICS, v. 35, n. 3, p. 893-905, OCT 2016. Web of Science Citations: 1.
GOMES, VIVIAN M.; OLIVEIRA, GERALDO M. C.; PRADO, ANTONIO F. B. A.; SANCHEZ, DIOGO M. Close approach of a cloud of particles around an oblate planet. COMPUTATIONAL & APPLIED MATHEMATICS, v. 35, n. 3, p. 663-673, OCT 2016. Web of Science Citations: 0.
GOMES, VIVIAN MARTINS; DOMINGOS, RITA DE CASSIA. Studying the lifetime of orbits around Moons in elliptic motion. COMPUTATIONAL & APPLIED MATHEMATICS, v. 35, n. 3, p. 653-661, OCT 2016. Web of Science Citations: 5.
GOMES, VIVIAN MARTINS; MURCIA PINEROS, JHONATHAN O.; BERTACHINI DE ALMEIDA PRADO, ANTONIO FERNANDO; GOLEBIEWSKA, JUSTYNA. Atmospheric close approaches with the Earth considering drag and lift forces. COMPUTATIONAL & APPLIED MATHEMATICS, v. 35, n. 3, p. 817-833, OCT 2016. Web of Science Citations: 7.
SANTANA, S. H. S.; DE MELO, C. F.; MACAU, E. E. N.; WINTER, O. C. Exploring the Moon gravity to escape from the Earth-Moon system. COMPUTATIONAL & APPLIED MATHEMATICS, v. 35, n. 3, p. 701-710, OCT 2016. Web of Science Citations: 0.
ARAUJO, N. C. S.; VIEIRA NETO, E.; FORYTA, D. W. Formation of the G-ring arc. Monthly Notices of the Royal Astronomical Society, v. 461, n. 2, p. 1868-1874, SEP 11 2016. Web of Science Citations: 0.
SALAZAR, F. J. T.; MCINNES, C. R.; WINTER, O. C. Intervening in Earth's climate system through space-based solar reflectors. Advances in Space Research, v. 58, n. 1, p. 17-29, JUL 1 2016. Web of Science Citations: 7.
ARAUJO, R. A. N.; SFAIR, R.; WINTER, O. C. THE RINGS OF CHARIKLO UNDER CLOSE ENCOUNTERS WITH THE GIANT PLANETS. ASTROPHYSICAL JOURNAL, v. 824, n. 2 JUN 20 2016. Web of Science Citations: 12.
HAGHIGHIPOUR, NADER; WINTER, OTHON C. Formation of terrestrial planets in disks with different surface density profiles. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 124, n. 3, p. 235-268, MAR 2016. Web of Science Citations: 8.
PINHEIRO LOPES MASAGO, BRUNA YUKIKO; BERTACHINI DE ALMEIDA PRADO, ANTONIO FERNANDO; MARINS CHIARADIA, ANA PAULA; GOMES, VIVIAN MARTINS. Developing the ``Precessing Inclined Bi-Elliptical Four-Body Problem with Radiation Pressure{''} to search for orbits in the triple asteroid 2001SN(263). Advances in Space Research, v. 57, n. 4, p. 962-982, FEB 15 2016. Web of Science Citations: 9.
CARRUBA, V.; ALJBAAE, S.; WINTER, O. C. On the Erigone family and the z(2) secular resonance. Monthly Notices of the Royal Astronomical Society, v. 455, n. 3, p. 2279-2288, JAN 21 2016. Web of Science Citations: 4.
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: 8.
SALAZAR, F. J. T.; WINTER, O. C.; MACAU, E. E.; MASDEMONT, J. J.; GOMEZ, G. Zero drift regions and control strategies to keep satellite in formation around triangular libration point in the restricted Sun-Earth-Moon scenario. Advances in Space Research, v. 56, n. 7, p. 1502-1518, OCT 1 2015. Web of Science Citations: 3.
PRADO, ANTONIO F. B. A. Using Tethered Gravity-Assisted Maneuvers for Planetary Capture. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, v. 38, n. 9, SI, p. 1852-1855, SEP 2015. Web of Science Citations: 6.
DA SILVA FERREIRA, ALESSANDRA FERRAZ; PRADO, ANTONIO F. BERTACHINI A.; WINTER, OTHON CABO. A numerical study of powered Swing-Bys around the Moon. Advances in Space Research, v. 56, n. 2, p. 252-272, JUL 15 2015. Web of Science Citations: 19.
SALAZAR, F. J. T.; WINTER, O. C.; MACAU, E. E.; MASDEMONT, J. J.; GOMEZ, G. Natural formations at the Earth-Moon triangular point in perturbed restricted problems. Advances in Space Research, v. 56, n. 1, p. 144-162, JUL 1 2015. Web of Science Citations: 5.
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, JUL 2015. Web of Science Citations: 4.
FORMIGA, JORGE KENNETY S.; PRADO, ANTONIO F. B. A. Studying sequences of resonant orbits to perform successive close approaches with the Moon. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 37, n. 4, p. 1391-1404, JUL 2015. Web of Science Citations: 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, JUL 2015. Web of Science Citations: 1.
SALAZAR, F. J. T.; MACAU, E. E. N.; WINTER, O. C. Pareto Frontier for the time-energy cost vector to an Earth-Moon transfer orbit using the patched-conic approximation. COMPUTATIONAL & APPLIED MATHEMATICS, v. 34, n. 2, p. 461-475, JUL 2015. Web of Science Citations: 4.
SALAZAR, F. J. T.; MACAU, E. E. N.; WINTER, O. C. Chaotic Dynamics in a Low-Energy Transfer Strategy to the Equilateral Equilibrium Points in the Earth-Moon System. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 25, n. 5 MAY 2015. Web of Science Citations: 3.
DOMINGOS, R. C.; WINTER, O. C.; IZIDORO, A. Planet formation in a triple stellar system: implications of the third star's orbital inclination. International Journal of Astrobiology, v. 14, n. 2, SI, p. 153-163, APR 2015. Web of Science Citations: 1.
WINTER, SILVIA M. GIULIATTI; WINTER, OTHON C.; NETO, ERNESTO VIEIRA; SFAIR, RAFAEL. The sailboat island and the New Horizons trajectory. ICARUS, v. 246, p. 339-344, JAN 15 2015. Web of Science Citations: 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, 2015. Web of Science Citations: 2.
SALAZAR, F. J. T.; MASDEMONT, J. J.; GOMEZ, G.; MACAU, E. E.; WINTER, O. C. Zero, minimum and maximum relative radial acceleration for planar formation flight dynamics near triangular libration points in the Earth-Moon system. Advances in Space Research, v. 54, n. 9, p. 1838-1857, NOV 1 2014. Web of Science Citations: 5.
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, SEP 15 2014. Web of Science Citations: 19.
PERNA, D.; ALVAREZ-CANDAL, A.; FORNASIER, S.; KANUCHOVA, Z.; GIULIATTI WINTER, S. M.; VIEIRA NETO, E.; WINTER, O. C. The triple near-Earth asteroid (153591) 2001 SN263: an ultra-blue, primitive target for the Aster space mission. Astronomy & Astrophysics, v. 568, AUG 2014. Web of Science Citations: 8.
GIULIATTI WINTER, S. M.; WINTER, O. C.; VIEIRA NETO, E.; SFAIR, R. A peculiar stable region around Pluto. Monthly Notices of the Royal Astronomical Society, v. 439, n. 4, p. 3300-3307, APR 2014. Web of Science Citations: 4.
PRADO, ANTONIO F. B. A. Mapping orbits around the asteroid 2001SN(263). Advances in Space Research, v. 53, n. 5, p. 877-889, MAR 1 2014. Web of Science Citations: 24.
CHANUT, T. G. G.; WINTER, O. C.; TSUCHIDA, M. 3D stability orbits close to 433 Eros using an effective polyhedral model method. Monthly Notices of the Royal Astronomical Society, v. 438, n. 3, p. 2672-2682, MAR 2014. Web of Science Citations: 18.
IZIDORO, A.; HAGHIGHIPOUR, N.; WINTER, O. C.; TSUCHIDA, M. TERRESTRIAL PLANET FORMATION IN A PROTOPLANETARY DISK WITH A LOCAL MASS DEPLETION: A SUCCESSFUL SCENARIO FOR THE FORMATION OF MARS. ASTROPHYSICAL JOURNAL, v. 782, n. 1 FEB 10 2014. Web of Science Citations: 42.
SALAZAR, F. J. T.; MACAU, E. E. N.; WINTER, O. C. Alternative transfer to the Earth-Moon Lagrangian points L4 and L5 using lunar gravity assist. Advances in Space Research, v. 53, n. 3, p. 543-557, FEB 1 2014. Web of Science Citations: 7.
SPAHN, F.; VIEIRA NETO, E.; GUIMARAES, A. H. F.; GORBAN, A. N.; BRILLIANTOV, N. V. A statistical model of aggregate fragmentation. NEW JOURNAL OF PHYSICS, v. 16, JAN 17 2014. Web of Science Citations: 0.
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: 7.
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, 2014. Web of Science Citations: 4.
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, 2013. Web of Science Citations: 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, 2013. Web of Science Citations: 6.
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, 2013. Web of Science Citations: 10.
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, 2013. Web of Science Citations: 0.

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