Alvarez-Ramírez, Martha Medina, Mario
Published in
Astrophysics and Space Science

The aim of this paper is to present recent results on the restricted five-body problem where the primaries are located at a known central configuration having the x\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setleng...

Ansari, Abdullah A. Singh, Jagadish Alhussain, Ziyad Ali Belmabrouk, Hafedh
Published in
Astrophysics and Space Science

This paper investigates the motion of a test particle (third body) in the frame work of Robe’s circular restricted three-body problem (RCR3BP) when it also experiences the viscous force of the fluid and small perturbations of Coriolis and centrifugal forces. The existence of equilibrium points and their stability are analysed under certain conditio...

Jiang, Yu
Published in
Astrophysics and Space Science

We investigate the dynamical environment in the first announced triple asteroid system 87 Sylvia. The 3D shape of the primary is rebuilt from shape data using the polyhedral model method. The dynamical characteristics of the primary, such as the surface height, the surface effective potential, the surface gravitational acceleration, the structure o...

Jamilis, Martín Garelli, Fabricio De Battista, Hernán Volcke, Eveline

Zotos, Euaggelos E.
Published in
Astrophysics and Space Science

The circular Sitnikov problem, where the two primary bodies are prolate or oblate spheroids, is numerically investigated. In particular, the basins of convergence on the complex plane are revealed by using a large collection of numerical methods of several order. We consider four cases, regarding the value of the oblateness coefficient which determ...

Lei, Hanlun Xu, Bo Circi, Christian
Published in
Celestial Mechanics and Dynamical Astronomy

In this work, the single-mode motions around the collinear and triangular libration points in the circular restricted three-body problem are studied. To describe these motions, we adopt an invariant manifold approach, which states that a suitable pair of independent variables are taken as modal coordinates and the remaining state variables are expr...

Shi, Yu Wang, Yue Xu, Shijie
Published in
Celestial Mechanics and Dynamical Astronomy

The motion of a massless particle in the gravity of a binary asteroid system, referred as the restricted full three-body problem (RF3BP), is fundamental, not only for the evolution of the binary system, but also for the design of relevant space missions. In this paper, equilibrium points and associated periodic orbit families in the gravity of a bi...

de Almeida, A. K. Prado, A. F.B.A. Yokoyama, T. Sanchez, D. M.

The main goal of this paper is to describe the motion of a spacecraft around an artificial equilibrium point in the circular restricted three-body problem. The spacecraft is under the gravitational influence of the Sun and the Earth, as primary and secondary bodies, subjected to the force due to the solar radiation pressure and some extra perturbat...

Zotos, Euaggelos E. Sanam Suraj, Md
Published in
Astrophysics and Space Science

We numerically explore the Newton-Raphson basins of convergence, related to the libration points (which act as attractors), in the planar circular restricted five-body problem (CR5BP). The evolution of the position and the linear stability of the equilibrium points is determined, as a function of the value of the mass parameter. The attracting regi...

Popescu, E.
Published in
Astrophysics and Space Science

In this paper, we study the equilibria and the relative equilibria, emphasizing the central configurations that characterize the two-body problem associated to a Buckingham type potential. We give conditions on potential parameters that allow the description of the equilibrium points. We characterize the relative equilibria by means of the moment o...