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**Abstract**

Artificial satellites are nowadays part of daily life as well instruments for advanced research in fields such as geodynamics, astrophysics of the solar system (atmosphere composition, magnetic field of planets), astrobiology ( water content and other materials essential to life as we know it), cosmology (Hubble and its new generation missions), communication satellites, weather and territory monitoring (deforesting of regions like the Amazon), the omnipresent military activity, possible mining of asteroids or their destruction in case of danger of collision with the Earth (on a not too much science fiction studies), etc.. Every other citizen has GPS devices to guide their trips in cities and roads. All these application require an adequate determination and control of the orbits and attitudes depending on the objective of the mission. Furthermore, these objectives have to be attained within constraint of cost and and/or time: tripulated missions have to have to be in the shortest time while equipment carrying can take very low cost orbits which take a considerable longer time span. The latter is the case of satellites travelling through unstable directions towards the Lagrangian collinear unstable regions such as SOHO (already accomplished mission) James Webb Space Telescope substituting the Hubble Telescope. Missions to planetary satellites have been planned and executed with very specific design of orbits: polar, critically inclined, frozen, synchronized with the rotation of the natural satellite; multisatellites: tethered satellites, formation flight (Terrestrial Planet Finder mission - TPF, now cancelled due to international crises) requiring nano precision; low cost orbits at the Langrangian collinear equilibria, etc. The high precision requirements leads to developing more sophisticated modeling of the forces: non-gravitational forces and resonances have to be considered simultaneously. Moreover missions to Solar System bodies require a good knowledge of the dynamical evolution of these bodies. Engineers, technicians and researchers involved in the aerospace field - (flight dynamics, mission analysis, control, aerodynamics, propulsion, structure, materials, projects, systems, etc - need a solid common basic formation on so that they can performed their tasks in a integrated form, as pointed in the PNAE 2007-2013.The project is distributed in four interconnected parts classified as: A) Orbital Perturbations -coordinated by Helio Koiti Kuga B) Stability - coordinated by Teresinha de Jesus Stuchi C) Trajectory Optimization - coordinated by Sandro da Silva Fernandes D) Attitude Dynamics- coordinated by Maria Cecília Zanardi. 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 six main researchers, together with other collaborators (researchers and students). All parts will be developed simultaneously, existing direct connections among them. The goal of this project is to gather researchers, with solid scientific experience in Orbital and Attitude Dynamics, to explore the translational and rotational motion of natural and artificial celestial bodies subject to polygenic and non-polygenic forces and also resonances. Influence spheres, orbital evolution of particles (natural and artificial), potential evaluation of non-uniform mass distributions (planets, natural satellites, asteroids, etc.), frozen and sun-synchronous orbits, tethered satellites, matter transport using topological features of the gravitational field shall be considered. Mathematical methods from dynamical system theory such as Birkhoff-Hori-Lie normal forms are to be applied to aerospace engineering and technology. (AU)

Scientific publications
(37)

(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 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.

SOUSA-SILVA, PRISCILLA;
TERRA, MAISA O.;
CERIOTTI, MATTEO.
Fast Earth-Moon transfers with ballistic capture.
** ASTROPHYSICS AND SPACE SCIENCE**,
v. 363,
n. 10
OCT 2018.
Web of Science Citations: 2.

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.

FERNANDES, SANDRO DA SILVA;
CARVALHO, FRANCISCO DAS CHAGAS;
BATCH ROMAO, JOAO VICTOR.
A NUMERICAL-ANALYTICAL APPROACH BASED ON CANONICAL TRANSFORMATIONS FOR COMPUTING OPTIMAL LOW-THRUST TRANSFERS.
** REVISTA MEXICANA DE ASTRONOMIA Y ASTROFISICA**,
v. 54,
n. 1,
p. 111-128,
APR 2018.
Web of Science Citations: 0.

FERNANDES, SANDRO DA SILVA;
CARVALHO, FRANCISCO DAS CHAGAS.
Analytical Solution for Optimal Low-Thrust Limited-Power Transfers Between Non-Coplanar Coaxial Orbits.
** JOURNAL OF AEROSPACE TECHNOLOGY AND MANAGEMENT**,
v. 10,
2018.
Web of Science Citations: 0.

SANDRO DA SILVA FERNANDES;
FRANCISCO DAS CHAGAS CARVALHO.
Analytical Solution for Optimal Low-Thrust Limited-Power Transfers Between Non-Coplanar Coaxial Orbits.
** J. Aerosp. Technol. Manag.**,
v. 10,
p. -,
2018.

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.

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.

CARVALHO, FRANCISCO DAS CHAGAS;
FERNANDES, SANDRO DA SILVA;
DE MORAES, RODOLPHO VILHENA.
A numerical study for optimal low-thrust limited power transfers between coplanar orbits with small eccentricities.
** COMPUTATIONAL & APPLIED MATHEMATICS**,
v. 35,
n. 3,
p. 907-936,
OCT 2016.
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.

FERNANDES, SANDRO DA SILVA;
CARVALHO, FRANCISCO DAS CHAGAS;
DE MORAES, RODOLPHO VILHENA.
Optimal low-thrust transfers between coplanar orbits with small eccentricities.
** COMPUTATIONAL & APPLIED MATHEMATICS**,
v. 35,
n. 3,
p. 803-816,
OCT 2016.
Web of Science Citations: 4.

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.

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.

GARCIA, ROBERTA VELOSO;
OLIVEIRA MATOS, NICHOLAS DE FREITAS;
KUGA, HELIO KOITI;
ZANARDI, MARIA CECILIA.
Unscented Kalman filter for spacecraft attitude estimation using modified Rodrigues parameters and real data.
** COMPUTATIONAL & APPLIED MATHEMATICS**,
v. 35,
n. 3,
p. 835-846,
OCT 2016.
Web of Science Citations: 3.

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: 6.

ZANARDI, M. C.;
ORLANDO, V.;
MOTTA, G. B.;
PELOSI, T.;
SILVA, W. R.
Numerical and analytical approach for the spin-stabilized satellite attitude propagation.
** COMPUTATIONAL & APPLIED MATHEMATICS**,
v. 35,
n. 3,
p. 937-949,
OCT 2016.
Web of Science Citations: 0.

DE SOUSA-SILVA, PRISCILLA A.;
TERRA, MAISA O.
A survey of different classes of Earth-to-Moon trajectories in the patched three-body approach.
** ACTA ASTRONAUTICA**,
v. 123,
p. 340-349,
JUN-JUL 2016.
Web of Science Citations: 6.

ROBERTA VELOSO GARCIA;
HÉLIO KOITI KUGA;
MARIA CECÍLIA F. P. S. ZANARDI.
Unscented Kalman Filter for Determination of Spacecraft Attitude Using Different Attitude Parameterizations and Real Data.
** J. Aerosp. Technol. Manag.**,
v. 8,
n. 1,
p. 82-90,
Mar. 2016.

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: 8.

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.

GARCIA, ROBERTA VELOSO;
KUGA, HELIO KOITI;
ZANARDI, MARIA CECILIA F. P. S.
Unscented Kalman Filter for Determination of Spacecraft Attitude Using Different Attitude Parameterizations and Real Data.
** JOURNAL OF AEROSPACE TECHNOLOGY AND MANAGEMENT**,
v. 8,
n. 1,
p. 82-90,
JAN-MAR 2016.
Web of Science Citations: 5.

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: 5.

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: 13.

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: 3.

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.

PINTO MESQUITA PARDAL, PAULA CRISTIANE;
KUGA, HELIO KOITI;
DE MORAES, RODOLPHO VILHENA.
The Particle Filter Sample Impoverishment Problem in the Orbit Determination Application.
** MATHEMATICAL PROBLEMS IN ENGINEERING**,
2015.
Web of Science Citations: 2.

SANCHEZ, DIOGO MERGUIZO;
YOKOYAMA, TADASHI;
BERTACHINI DE ALMEIDA PRADO, ANTONIO FERNANDO.
Study of Some Strategies for Disposal of the GNSS Satellites.
** MATHEMATICAL PROBLEMS IN ENGINEERING**,
2015.
Web of Science Citations: 4.

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.

DE ASSIS, SHEILA C.;
TERRA, MAISA O.
Escape dynamics and fractal basin boundaries in the planar Earth-Moon system.
** CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY**,
v. 120,
n. 2,
p. 105-130,
OCT 2014.
Web of Science Citations: 25.

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.

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: 3.

PINTO MESQUITA PARDAL, PAULA CRISTIANE;
DE MORAES, RODOLPHO VILHENA;
KUGA, HELIO KOITI.
Effects of Geopotential and Atmospheric Drag Effects on Frozen Orbits Using Nonsingular Variables.
** MATHEMATICAL PROBLEMS IN ENGINEERING**,
2014.
Web of Science Citations: 2.

SAMPAIO, J. C.;
WNUK, E.;
VILHENA DE MORAES, R.;
FERNANDES, S. S.
Resonant Orbital Dynamics in LEO Region: Space Debris in Focus.
** MATHEMATICAL PROBLEMS IN ENGINEERING**,
2014.
Web of Science Citations: 3.

GOMES, VIVIAN MARTINS;
FORMIGA, JORGE;
DE MORAES, RODOLPHO VILHENA.
Studying Close Approaches for a Cloud of Particles Considering Atmospheric Drag.
** MATHEMATICAL PROBLEMS IN ENGINEERING**,
2013.
Web of Science Citations: 7.

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