Browsing by Subject "Celestial mechanics"
Now showing items 120 of 36

A family of stacked central configurations in the planar fivebody problem
(201711)
Article
Open AccessWe study planar central configurations of the fivebody problem where three bodies, (Formula presented.) and (Formula presented.), are collinear and ordered from left to right, while the other two, (Formula presented.) and ... 
Analysis of the relative dynamics of a charged spacecraft moving under the influence of a magnetic field
(20180901)
Article
Restricted access  publisher's policyWe 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 ... 
An invitation to singular symplectic geometry
(2019)
Article
Open AccessIn this paper we analyze in detail a collection of motivating examples to consider bmsymplectic forms and foldedtype symplectic structures. In particular, we provide models in Celestial Mechanics for every bmsymplectic ... 
A note on a family of nongravitational central force potentials in dimension one
(Elsevier, 20171201)
Article
Restricted access  publisher's policyIn this work, we study a oneparameter 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 EarthMoon system in a complete solar system model
(2012)
Conference report
Open AccessThe 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 EarthMoon system in a complete Solar System model
(201302)
Article
Restricted access  publisher's policyIn 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 quasiperiodic ... 
A note on the dynamics around the Lagrange points of the EarthMoon system in a complete Solar System model
(2013)
Conference report
Open AccessThis 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 ... 
Bifurcation of relative equilibria of the (1+3)body problem
(20150402)
Article
Open AccessWe study the relative equilibria of the limit case of the planar Newtonian 4body problem when three masses tend to zero, the socalled (1+3)body problem. Depending on the values of the infinitesimal masses the number of ... 
Central configurations of the planar coorbial satellite problem
(200410)
Article
Open AccessWe 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, ... 
Dynamics in the centre manifold around equilibrium points in periodically perturbed threebody problems
(2016)
Conference report
Open AccessA new application of the parameterization method is pre sented to compute invariant manifolds about the equilib rium points of Periodically Perturbed ThreeBody Problems ( PPTBP ). These techniques are applied to obtain ... 
Formation flying in space borne artificial magnetic dipole field
(2017)
Conference lecture
Open AccessIn 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 ... 
Fourbody cocircular central configurations
(201202)
Article
Open AccessWe classify the set of central configurations lying on a common circle in the Newtonian fourbody problem. Using mutual distances as coordinates, we show that the set of fourbody cocircular central configurations with ... 
Lagrangian coherent structures
(Universitat Politècnica de Catalunya, 201505)
Bachelor thesis
Open AccessReallife mechanical systems can usually be modeled as nonlinear, nonperiodic and nonautonomous 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
(20150202)
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
(201304)
Article
Open AccessThe 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 knbody problem
(20190815)
Article
Restricted access  publisher's policyWe consider planar central configurations of the Newtonian knbody problem consisting in k groups of regular ngons of equal masses, called (k, n)crown. We derive the equations of central configurations for a general (k, ... 
On coorbital quasiperiodic motion in the threebody problem
(20190101)
Article
Open AccessWithin the framework of the planar threebody problem we establish the existence of quasiperiodic motions and KAM $4$tori related to the coorbital motion of two small moons about a large planet where the moons move in ... 
On the central configurations of the planar 1 + 3 body problem
(2011)
Article
Open AccessWe consider the Newtonian 4 body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two diferent classes of central ...