Electrostatic orrery for celestial mechanics

Physics

Scientific paper

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Orbit Determination And Improvement, Electrostatics, Poisson And Laplace Equations, Boundary-Value Problems, Demonstration Experiments And Apparatus

Scientific paper

A device is described in which negatively charged submillimeter particles are trapped in orbits about a rod with a positive potential. Hollow glass microspheres about 50 μm in diameter are dropped past an emitting filament and accumulate a charge of approximately 5×105 electrons. The microspheres fall into a Kingdon trap (concentric cylinders with end caps) and are trapped by a rising potential of order 10 kV. The orbital decay time is determined by molecular drag and is about 40 min or 105 revolutions at 2×10-6 Torr. Orbiting particles are visible to the unaided eye and may be recorded photographically with a CCD camera. Possible applications from celestial mechanics include experiments on orbital resonances, Kirkwood gaps, and planetary ring phenomena.

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