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math.DS2018
Hill four-body problem with oblate tertiary: an application to the Sun-Jupiter-Hektor-Skamandrios system
Jaime Burgos-Garcia, Alessandra Celletti, Catalin Gales +2
We consider a restricted four-body problem with a precise hierarchy between the bodies: two point-mass bigger bodies, a smaller one with oblate shape, and an infinitesimal body in…
math.DS2014★ 50 cited
On the dynamics of space debris: 1:1 and 2:1 resonances
Alessandra Celletti, Catalin Gales
We study the dynamics of the space debris in the 1:1 and 2:1 resonances, where geosynchronous and GPS satellites are located. By using Hamiltonian formalism, we consider a model in…