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A numerical investigation of coorbital stability and libration in three dimensions
(Springer, 2016-05-01)
Motivated by the dynamics of resonance capture, we study numerically the coorbital resonance for 0 <= I <= 180 degrees inclination in the circular restricted three-body problem. We examine the similarities and differences ...
A study of the 1/2 retrograde resonance: periodic orbits and resonant capture
(2021-05-01)
We describe the families of periodic orbits in the 2-dimensional 1/2 retrograde resonance at mass ratio 10 - 3, analyzing their stability and bifurcations into 3-dimensional periodic orbits. We explain the role played by ...
Artificial satellites orbits in 2:1 resonance: GPS constellation
(Pergamon-Elsevier B.V. Ltd, 2012-12-01)
In this work, the resonance problem in the artificial satellites motion is studied. The development of the geopotential includes the zonal harmonics J(20) and J(40) and the tesseral harmonics J(22) and J(42). Through an ...
Artificial satellites orbits in 2:1 resonance: GPS constellation
(Pergamon-Elsevier B.V. Ltd, 2012-12-01)
In this work, the resonance problem in the artificial satellites motion is studied. The development of the geopotential includes the zonal harmonics J(20) and J(40) and the tesseral harmonics J(22) and J(42). Through an ...
Degenerate resonances and branching of periodic orbits
(Springer HeidelbergHeidelbergAlemanha, 2008)
Dynamics of two satellites in the 2/1 Mean-Motion resonance: application to the case of Enceladus and Dione
(Springer, 2007-05-01)
The dynamics of a pair of satellites similar to Enceladus-Dione is investigated with a two-degrees-of-freedom model written in the domain of the planar general three-body problem. Using surfaces of section and spectral ...
On retrograde orbits, resonances and stability
(2016-10-01)
We start by reviewing our previous work on retrograde orbital configurations and on modeling and identifying retrograde resonances. Then, we present new results regarding the enhanced stability of retrograde configurations ...
Dynamics of the 11:10 Corotation and Lindblad resonances with Mimas, and application to Anthe
(2020-09-15)
The short-term, resonant and long-term dynamics of Anthe (S/2007 S4), are investigated with the most recent published ephemeris of the Saturnian system. We identify and explain many components in the time variations of the ...
Homoclinic orbits in degenerate reversible-equivariant systems in R-6
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2013)