Abstract
We examine the basic dynamics associated with a simple model of a dust particle interacting with a planetary gravitational field, solar radiation pressure and a constant magnetic field. We find the presence of global equilibrium points that are analogous to the Lagrangian equilibria of the circular restricted three-body problem. We focus on the nonlinear stability properties of the points in the case of a 1:2 resonance. These properties are analyzed by studying the phase flow on the reduced phase space after normalization.
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References
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Lanchares, V., López-Moratalla, T. (2001). Resonances and Lyapunov Stability for Lagrange Equilibria of Orbiting Dust. In: Zamorano, J., Gorgas, J., Gallego, J. (eds) Highlights of Spanish Astrophysics II. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1776-2_64
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DOI: https://doi.org/10.1007/978-94-017-1776-2_64
Publisher Name: Springer, Dordrecht
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