Exploració per tema "Celestial mechanics"
Ara es mostren els items 1-20 de 54
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A family of stacked central configurations in the planar five-body problem
(2017-11)
Article
Accés obertWe 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
Accés obertIn 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)
Text en actes de congrés
Accés obertThe 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
Accés restringit per política de l'editorialIn 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)
Text en actes de congrés
Accés obertThis 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 ... -
Active signal repeater for interferometric precise orbit determination
(Universitat Politècnica de Catalunya, 2021-07-27)
Treball Final de Grau
Accés restringit per acord de confidencialitat -
An invitation to singular symplectic geometry
(2019)
Article
Accés obertIn 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
Accés obertWe 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 ... -
Applications to celestial mechanics
(Universitat Politècnica de Catalunya, 2023-06)
Projecte Final de Màster Oficial
Accés obertThis master's thesis consists in the study of the Elliptical Restricted Three-Body Problem, known as Elliptical RTBP. In particular, a first approach will be obtaining a compact formulation, through some changes of variables, ... -
Bifurcation of relative equilibria of the (1+3)-body problem
(2015-04-02)
Article
Accés obertWe 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 ... -
Breakdown of homoclinic orbits to L3 in the RPC3BP (I). Complex singularities and the inner equation
(2022-10-29)
Article
Accés obertThe Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies, called the primaries. If the primaries perform circular motions and the massless body ... -
Breakdown of homoclinic orbits to L3 in the RPC3BP (II): an asymptotic formula
(Elsevier, 2023-10-01)
Article
Accés obertThe Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies called the primaries. If one assumes that the primaries perform circular motions and that ... -
Central configurations in the five-body problem: rhombus plus one
(2021-05-20)
Article
Accés obertWe show the existence of central configurations in the planar five-body problem where four bodies are located at the vertices of a rhombus, called rhombus plus one central configurations. Concretely we prove analytically ... -
Central configurations of the planar coorbial satellite problem
(2004-10)
Article
Accés obertWe 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, ... -
Design of ganymede-synchronous frozen orbit around Europa
(Multidisciplinary Digital Publishing Institute (MDPI), 2023-01-01)
Article
Accés obertA Ganymede-synchronous frozen orbit around Europa provides a stable spatial geometry between a Europa probe and a Ganymede lander, which facilitates the observation of Ganymede and data transmission between probes. However, ... -
Dinàmica de varietats espacials: les autopistes de l’univers
(2019-12-20)
Article
Accés obertEn 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)
Text en actes de congrés
Accés obertA 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)
Comunicació de congrés
Accés obertIn 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
Accés obertWe 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 ... -
From 2N to infinitely many escape orbits
(Pleiades Publishing, 2023-07-31)
Article
Accés restringit per política de l'editorial—In this short note, we prove that singular Reeb vector fields associated with generic b-contact forms on three dimensional manifolds with compact embedded critical surfaces have either (at least) 2N or an infinite number ...