Electromagnetic Resonances in Jupiter's Rings

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Scientific paper

Voyager and Galileo images have shown that Jupiter's ring consists of several components: 1) a 10,000 km wide main ring associated with the satellites Metis and Adrastea, 2) a vertically-extended halo located inward of the main ring, and 3) Gossamer rings associated with the small satellites Thebe and Amalthea. The gross properties of the rings are probably due to electromagnetic forces, which cause resonances at specific locations, and Poynting-Robertson drag, which makes orbits evolve inward. First-order electromagnetic, or Lorentz, resonances seem to bound the inner and outer edges of the jovian ring halo, while in the outer gossamer ring, these vertical Lorentz resonances are strong enough to trap dust grains smaller than a few microns in radius and systematically drive them to high inclinations. Additionally, we have found two new and interesting sets of resonances near synchronous orbit. Both sets are second-order resonances, where the small quantities are orbital eccentricities and inclinations in one case and the strength of the perturbation forces in the other. Both sets of resonances have analogs in gravitational systems. These resonances affect the orbital properties of ring particles near synchronous orbit, and may lead to observable features in the structure of the ring. Indeed, Voyager noted an enhancement in density near synchronous orbit, although Galileo observations do not confirm this observation. Finally, we have implemented a symplectic integrator capable of handing an array of perturbations affecting dust: planetary, solar, and satellite gravity, radiation pressure, and the velocity-dependent Lorentz force. We are currently running tests to determine circumstances under which the new integrator is superior to more commonly used Runge-Kutta and Bulirish Stoer algorithms and will report our initial findings.

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