N-body Dynamics on an Infinite Cylinder: the Topological Signature in the Dynamics

Autor: Thierry Combot, Gladston Duarte, T. J. Stuchi, Stefanella Boatto, Jaime Andrade

Publikováno v: Regular and Chaotic Dynamics
Regular and Chaotic Dynamics, MAIK Nauka/Interperiodica, 2020, 25 (1), pp.78-110. ⟨10.1134/S1560354720010086⟩

International audience; The formulation of the dynamics of N-bodies on the surface of an infinite cylinder is considered. We have chosen such a surface to be able to study the impact of the surface's topology in the particle's dynamics. For this purp

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d77a46d9c4fe2bb6d29f9a764ff40002
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-02521855

Dynamics of tethered satellites in the vicinity of the Lagrangian point L 2 $L_{2}$ of the Earth–Moon system

Autor: M. F. Baião, T. J. Stuchi

Publikováno v: Astrophysics and Space Science. 362

This paper analyzes the dynamical evolution of satellites formed by two masses connected by a cable—tethered satellites. We derive the Lagrangian equations of motion in the neighborhood of the collinear equilibrium points, especially for the $L_{2}

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::026af1fa62fe1d329867bb89214a8018
https://doi.org/10.1007/s10509-017-3087-y

Attitude stability of artificial satellites subject to gravity gradient torque

Autor: Jorge Kennety Silva Formiga, Rodolpho Vilhena de Moraes, Regina Elaine Santos Cabette, Maria Cecília Zanardi, T. J. Stuchi

Publikováno v: Celestial Mechanics and Dynamical Astronomy. 104:337-353

The stability of the rotational motion of artificial satellites is analyzed considering perturbations due to the gravity gradient torque, using a canonical formulation, and Andoyer’s variables to describe the rotational motion. The stability criter

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d8fbec58bfe28a01c07fd06c2f2c6103
https://doi.org/10.1007/s10569-009-9216-3

Numerical study of the time required for the gravitational capture in the bi-circular four-body problem

Autor: Antonio F. B. A. Prado, Alexandre Lacerda Machuy, T. J. Stuchi

Publikováno v: Advances in Space Research. 40:118-124

A gravitational capture occurs when a spacecraft (or any particle with negligible mass) changes from a hyperbolic orbit with a small positive energy around a celestial body into an elliptic orbit with a small negative energy without the use of any pr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a269e0b154aeac6cb215d4b3c774f489
https://doi.org/10.1016/j.asr.2007.02.069

Generalizing the classical fixed-centres problem in a non-Hamiltonian way

Autor: A Albouy, T J Stuchi

Publikováno v: Journal of Physics A: Mathematical and General (1975-2006)
Journal of Physics A: Mathematical and General (1975-2006), 2004, 37, pp.9109-9123. ⟨10.1088/0305-4470/37/39/005⟩

International audience; The problem of two gravitational (or Coulombian) fixed centres is a classical integrable problem, stated and integrated by Euler in 1760. The integrability is due to the unexpected first integral G. We introduce some straightf

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a525626a82c3b527e3dd02e5abc788a
https://doi.org/10.1088/0305-4470/37/39/005