Observations of nonlinear coherent plasma phenomena in spacecraft and terrestrial experiments often rely on visual identification of solitary modes because nonlinear coherent modes are broadband in a Fourier transform based analysis. We implement an alternative spectral decomposition known as the inverse scattering transform and demonstrate its ability to successfully isolate nonlinear modes on the homogeneous and forced Korteweg–De Vries equation which models these nonlinear modes. We also demonstrate for the first time that this decomposition is useful when forcing is applied. This is because the stable modes generated by localized forcing are similar to the homogeneous solutions where the inverse scattering transform is a rigorous decomposition. This spectral technique is then applied to simulations of ion acoustic waves generated by a 10 mm spherical debris object interacting with the ionospheric plasma orbiting at 2000 km altitude. The algorithm is found to successfully detect the resultant solitons. This demonstrates the feasibility of using this spectral technique as a real time analysis tool for screening spacecraft data for nonlinear solitary modes.
M-type asteroids may have remanent magnetic fields. Regolith particles on M-type asteroids are likely to have metallic components, causing them to be paramagnetic and respond to an external magnetic field. Paramagnetic particles placed in an external magnetic field are influenced by induced magnetic moments of neighboring particles. Therefore, the magnetic force between regolith particles on an M-type asteroid can change the net cohesion of the regolith. Previous works have shown the influence of cohesive forces in the evolution of rubble-pile asteroids. This work characterizes the magnetic force between regolith particles on M-type asteroids. We implement existing models of the magnetic force between paramagnetic particles placed in an external magnetic field and then present an empirical model of this force for two magnetic field orientations as an essential step toward a general semiempirical model that the wider planetary science community can more easily use to investigate the significance of this force.
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