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Undamped oscillations of homogenous collisionless stellar systems

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Blackwell Publishing for the Royal Astronomical Society

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Abstract

The Lewis (1968) invariant of the time-dependent harmonic oscillator is used to construct exact time-dependent, uniform density solutions of the collisionless Boltzmann equation. The spatially bound solutions are time-periodic.

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Monthly Notices of the Royal Astronomical Society, 1989, Vol.238, p1159-1163

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(1989) Royal Astronomical Society