Let gα be a one-parameter family of one-dimensional maps with a cascade of period doubling bifurcations. Between each of these bifurcations, a superstable periodic orbit is known to exist. An example… (More)

In this note we compare the frequencies of the motion of the Trojan asteroids in the Restricted Three-Body Problem (RTBP), the Elliptic Restricted Three-Body Problem (ERTBP) and the Outer Solar… (More)

In this paper we have considered the movement of a solar sail in the Sun Earth system. As a model we have used the RTBP adding the solar radiation pressure. It can be seen that we have a 2D family of… (More)

We have considered the planar circular RTBP + solar radiation pressure to model the movement of a solar sail in the Earth Sun system. It is known that for a fixed value of the sail lightness number… (More)

In this paper, we make a systematic study of the global dynamical structure of the Sun– Jupiter L4 tadpole region. The results are based on long-time simulations of the Trojans in the Sun, Jupiter,… (More)

Solar sails are a proposed form of spacecraft propulsion using large membrane mirrors to propel a satellite taking advantage of the solar radiation pressure. To model the dynamics of a solar sail we… (More)

We focus on the continuation with respect to parameters of smooth invariant curves of quasi-periodically forced 1-D systems. In particular, we are interested in mechanisms leading to the destruction… (More)

Quasiperiodic perturbations with two frequencies (1/ε, γ/ε) of a pendulum are considered, where γ is the golden mean number. We study the splitting of the three-dimensional invariant manifolds… (More)

This paper studies various Hopf bifurcations in the two-dimensional plane Poiseuille problem. For several values of the wavenumber α, we obtain the branch of periodic flows which are born at the Hopf… (More)

In this work we focus on the dynamics of a Solar sail in the SunEarth Elliptic Restricted Three-Body Problem with Solar radiation pressure. The considered situation is the motion of a sail close to… (More)