7 citations · 16 across the 8 of their papers we have counts for
14 papers
Why are inner planets not inclined?
Andrew Clarke, Jacques Fejoz, Marcel Guardia
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 stab…
Arnold diffusion in Hamiltonian systems on infinite lattices
Filippo Giuliani, Marcel Guardia
We consider a system of infinitely many penduli on an -dimensional lattice with a weak coupling. For any prescribed path in the lattice, for suitable couplings, we construct orb…
Breakdown of homoclinic orbits to L3 in the RPC3BP (I). Complex singularities and the inner equation
Inmaculada Baldomá, Mar Giralt, Marcel Guardia
The 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…
Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula
Inmaculada Baldomá, Mar Giralt, Marcel Guardia
The 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 p…
Oscillatory Motions and Parabolic Manifolds at Infinity in the Planar Circular Restricted Three Body Problem
Maciej J. Capiński, Marcel Guardia, Pau Martín +2
Consider the Restricted Planar Circular 3 Body Problem with both realistic mass ratio and Jacobi constant for the Sun-Jupiter pair. We prove the existence of all possible combinati…
Symbolic Dynamics in the Elliptic Isosceles Restricted Three Body Problem
Marcel Guardia, Jaime Paradela, Tere-M. Seara +1
The elliptic isosceles restricted three body problem (REI3BP) models the motion of a massless body under the influence of the Newtonian gravitational force caused by two other bodi…