کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1899564 1534045 2013 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mathematical analysis of a model for moon-triggered clumping in Saturn’s rings
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Mathematical analysis of a model for moon-triggered clumping in Saturn’s rings
چکیده انگلیسی


• A realistic model for moon-triggered clumping in Saturn’s rings is studied.
• Periodic solutions are proved to exist under general conditions.
• Conditions for uniqueness and stability are provided.
• Explicit bounds of the solutions in good agreement with numerics.

Spacecraft observations of Saturn’s rings show evidence of an active aggregation–disaggregation process triggered by periodic influences from the nearby moons. This leads to clumping and break-up of the ring particles at timescales of the order of a few hours. A mathematical model has been developed to explain these dynamics in Saturn’s FF-ring and BB-ring (Esposito et al., 2012) [4], the implications of which are in close agreement with the empirical results. In this paper, we conduct a rigorous analysis of the proposed forced dynamical system for a class of continuous, periodic and zero-mean forcing functions that model the ring perturbations caused by the moon flybys. In specific, we derive the existence of at least one periodic solution to the dynamic system with the period equal to the forcing period of the moon. Further, conditions for the uniqueness and stability of the solution and bounds for the amplitudes of the periodic solution are derived.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 259, 15 September 2013, Pages 55–62
نویسندگان
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