Now showing items 1-20 of 37

• #### A family of stacked central configurations in the planar five-body problem ﻿

(2017-11)
Article
Open Access
We study planar central configurations of the five-body problem where three bodies, (Formula presented.) and (Formula presented.), are collinear and ordered from left to right, while the other two, (Formula presented.) and ...
• #### A note on a family of non-gravitational central force potentials in dimension one ﻿

(Elsevier, 2017-12-01)
Article
Open Access
In this work, we study a one-parameter family of differential equations and the different scenarios that arise with the change of parameter. We remark that these are not bifurcations in the usual sense but a wider phenomenon ...
• #### A note on the dynamics around the L1,2 Lagrange points of the Earth-Moon system in a complete solar system model ﻿

(2012)
Conference report
Open Access
The purpose of this paper is the study of the phase space around the collinear libration points L1 and L2 of the Earth–Moon system when the gravitational effects of the remaining bodies of the Solar System are taken into ...
• #### A note on the dynamics around the Lagrange collinear points of the Earth-Moon system in a complete Solar System model ﻿

(2013-02)
Article
Restricted access - publisher's policy
In this paper we study the dynamics of a massless particle around the L 1,2 libration points of the Earth–Moon system in a full Solar System gravitational model. The study is based on the analysis of the quasi-periodic ...
• #### A note on the dynamics around the Lagrange points of the Earth-Moon system in a complete Solar System model ﻿

(2013)
Conference report
Open Access
This paper studies the dynamics of a massless particle around the libration points of the Earth - Moon system in a full Solar System gravitational model. The study is based on the analysis of the quasi - periodic ...
• #### An invitation to singular symplectic geometry ﻿

(2019)
Article
Open Access
In this paper we analyze in detail a collection of motivating examples to consider bm-symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every bm-symplectic ...
• #### Analysis of the relative dynamics of a charged spacecraft moving under the influence of a magnetic field ﻿

(2018-09-01)
Article
Open Access
We analyse a dynamical scenario where a constantly charged spacecraft (follower) moves in the vicinity of another one (leader) that follows a circular Keplerian orbit around the Earth and generates a rotating magnetic ...
• #### Bifurcation of relative equilibria of the (1+3)-body problem ﻿

(2015-04-02)
Article
Open Access
We study the relative equilibria of the limit case of the planar Newtonian 4-body problem when three masses tend to zero, the so-called (1+3)-body problem. Depending on the values of the infinitesimal masses the number of ...
• #### Central configurations of the planar coorbial satellite problem ﻿

(2004-10)
Article
Open Access
We study the planar central configurations of the 1 +n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2=n=4. Numerically, ...
• #### Dinàmica de varietats espacials: les autopistes de l’univers ﻿

(2019-12-20)
Article
Open Access
En aquest article volem il.lustrar com la comprensió de la dinàmica d’alguns models de la mecànica celeste permet explicar alguns fenòmens astronòmics i dissenyar missions realistes a l’espai. El model paradigmàtic usat ...
• #### Dynamics in the centre manifold around equilibrium points in periodically perturbed three-body problems ﻿

(2016)
Conference report
Open Access
A new application of the parameterization method is pre- sented to compute invariant manifolds about the equilib- rium points of Periodically Perturbed Three-Body Problems ( PPTBP ). These techniques are applied to obtain ...
• #### Formation flying in space borne artificial magnetic dipole field ﻿

(2017)
Conference lecture
Open Access
In this paper, we consider a new dynamical scenario in which a constantly charged spacecraft (follower) moves near a leader spacecraft, which follows a circular Keplerian orbit around the Earth and generates a rotating ...
• #### Four-body co-circular central configurations ﻿

(2012-02)
Article
Open Access
We classify the set of central configurations lying on a common circle in the Newtonian four-body problem. Using mutual distances as coordinates, we show that the set of four-body co-circular central configurations with ...
• #### Lagrangian coherent structures ﻿

(Universitat Politècnica de Catalunya, 2015-05)
Bachelor thesis
Open Access
Real-life mechanical systems can usually be modeled as non-linear, non-periodic and non-autonomous dynamical systems. It is very important to have different tools to study these systems, and there are many classical ...
• #### Mathematical Methods Applied to the Celestial Mechanics of Artificial Satellites ﻿

(2012)
Article
Open Access
• #### Mathematical methods applied to the celestial mechanics of artificial satellites ﻿

(2015-02-02)
Article
Open Access
• #### Mathematical Methods Applied to the Celestial Mechanics of Artificial Satellites 2013 ﻿

(2013)
Article
Open Access
• #### Numerical exploration of the limit ring problem ﻿

(2013-04)
Article
Open Access
The aim of this work is to provide an insight of an idealized model of a planetary ring. The model is a limit case of the planar circular restricted 1 + n body problem, where an infinitesimal particle moves under the ...
• #### On central configurations of the kn-body problem ﻿

(2019-08-15)
Article
Restricted access - publisher's policy
We consider planar central configurations of the Newtonian kn-body problem consisting in k groups of regular n-gons of equal masses, called (k, n)-crown. We derive the equations of central configurations for a general (k, ...
• #### On co-orbital quasi-periodic motion in the three-body problem ﻿

(2019-01-01)
Article
Open Access
Within the framework of the planar three-body problem we establish the existence of quasi-periodic motions and KAM $4$-tori related to the co-orbital motion of two small moons about a large planet where the moons move in ...