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    A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP 

    Jorba, A.; Nicolás, B.; Rodríguez, O. (2024-12-03)

    The Hilda group is a set of asteroids whose mean motion is in a 3:2 orbital resonance with Jupiter. In this paper, we use the planar Circular Restricted Three-Body Problem (CRTBP) as a dynamical model and we show that there ...

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    Invariant manifolds near L1 and L2 in the Sun-Jupiter elliptic restricted three-body problem II: the dynamics of comet Oterma 

    Duarte, G.; Jorba, Angel (2024-10-26)

    Comet 39P/Oterma is known to make fast transitions between heliocentric orbits outside the orbit of Jupiter and heliocentric orbits inside that of Jupiter. In this paper, the dynamics of comet Oterma is modelled and fitted ...

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    On the Arnold Diffusion Mechanism in Medium Earth Orbit 

    Alessi, E. M.; Baldomá, I.; Giralt, M.; Guardia, M. (2024-11-05)

    Space debris mitigation guidelines represent the most effective method to preserve the circumterrestrial environment. Among them, end-of-life disposal solutions play a key role. In this regard, effective strategies should ...

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    On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites 

    Alessi, Elisa Maria; Baldomá Barraca, Inmaculada; Giralt, Mar; Guardia, Marcel; Pousse, Alexandre (2025-03-01)

    Motivated by the practical interest in the third-body perturbation as a natural cleaning mechanism for high-altitude Earth orbits, we investigate the dynamics stemming from the secular Hamiltonian associated with the lunar ...

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    Oscillatory Motions, Parabolic Orbits and Collision Orbits in the Planar Circular Restricted Three-Body Problem 

    Lamas, J.; Guardia, M.; Sea, T. M. (2025-04-10)

    In this paper we consider the planar circular restricted three body problem (PCRTBP), which models the motion of a massless body under the attraction of other two bodies, the primaries, which describe circular orbits around ...

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    Symmetric planar central configurations of five bodies: Euler plus two 

    Gidea, Marian; Llibre i Saló, Jaume (2009-11)

    We study planar central configurations of the five-body problem where three of the bodies are collinear, forming an Euler central configuration of the three-body problem, and the two other bodies together with the collinear ...

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    The vicinity of the Earth–Moon L1 point in the bicircular problem 

    Jorba, À.; Jorba-Cuscó, M.; Rosales, J.J. (2020-02-07)

    The bicircular model is a periodic time-dependent perturbation of the Earth–Moon restricted three-body problem that includes the direct gravitational effect of the Sun on the infinitesimal particle. In this paper, we focus ...

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    Why are inner planets not inclined? 

    Clarke, M.; Fejoz, J.; Guàrdia, M. (2024-09-19)

    Poincaré's work more than one century ago, or Laskar's numerical simulations from the 1990's on, have irrevocably impaired the long-held belief that the Solar System should be stable. But mathematical mechanisms explaining ...