This paper develops a Chebyshev–Taylor spectral method for studying stable/unstable
manifolds attached to periodic solutions of differential equations. The work exploits the …

The planar equilateral restricted four-body problem where two of the primaries have equal
masses is used in order to determine the Newton-Raphson basins of convergence …

The present problem deals with the effect of the radiation pressure on the topology of the
basins of convergence in the restricted problem of four bodies in two different …

The planar equilateral restricted four-body problem, formulated on the basis of Lagrange's
triangular solutions is used to determine the existence and locations of libration points and …

This paper presents the study of the perturbed restricted problem of three bodies with an
elongated smaller primary and an oblate radiating bigger primary. The albedo effect and …

We use validated numerical methods to prove the existence of spatial periodic orbits in the
equilateral restricted four-body problem. We study each of the vertical Lyapunov families (up …

This paper studies numerically the existence, location and stability of equilibrium points
under the influence of small perturbations in the Coriolis and centrifugal forces in the …

In this paper, we have drawn the periodic orbits in the restricted four-body problem. The
fourth body of infinitesimal mass moves under the Newtonian gravitational law due to three …

We consider the planar restricted four-body problem proposed by Moulton. One infinitesimal
mass moves under the attraction of three mass points in collinear Euler's configuration …

In this paper we consider a restricted equilateral four-body problem where a particle of
negligible mass is moving under the Newtonian gravitational attraction of three masses …