Mapping the $ν odot$ Secular Resonance for Retrograde Irregular Satellites - Astrophysics > Earth and Planetary AstrophysicsReport as inadecuate




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Abstract: Constructing dynamical maps from the filtered output of numericalintegrations, we analyze the structure of the $ u \odot$ secular resonance forfictitious irregular satellites in retrograde orbits. This commensurability isassociated to the secular angle $\theta = \varpi - \varpi \odot$, where$\varpi$ is the longitude of pericenter of the satellite and $\varpi \odot$corresponds to the fixed planetocentric orbit of the Sun. Our study isperformed in the restricted three-body problem, where the satellites areconsidered as massless particles around a massive planet and perturbed by theSun. Depending on the initial conditions, the resonance presents a diversity ofpossible resonant modes, including librations of $\theta$ around zero as foundfor Sinope and Pasiphae or 180 degrees, as well as asymmetric librations e.g.Narvi. Symmetric modes are present in all giant planets, although each regimeappears restricted to certain values of the satellite inclination. Asymmetricsolutions, on the other hand, seem absent around Neptune due to its almostcircular heliocentric orbit. Simulating the effects of a smooth orbitalmigration on the satellite, we find that the resonance lock is preserved aslong as the induced change in semimajor axis is much slower compared to theperiod of the resonant angle adiabatic limit. However, the librational modemay vary during the process, switching between symmetric and asymmetricoscillations. Finally, we present a simple scaling transformation that allowsto estimate the resonant structure around any giant planet from the resultscalculated around a single primary mass.



Author: J. Correa Otto, A. M. Leiva, C. A. Giuppone, C. Beaugé

Source: https://arxiv.org/







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