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Neate, Andrew and Truman, Aubrey
(2013).
DOI: https://doi.org/10.1063/1.4794514
Abstract
We consider a proto-ring nebula of a gas giant such as Neptune as a cloud of gas/dust particles whose behaviour is governed by the stochastic mechanics associated to the Kepler problem. This leads to a stochastic Burgers-Zeldovich type model for the formation of planetesimals involving a stochastic Burgers equation with vorticity which could help to explain the turbulent behaviour observed in ring systems. The Burgers fluid density and the distribution of the mass M(T) of a spherical planetesimal of radius δ are computed for times T. For circular orbits, sufficient conditions on certain time averages of δ2 are given ensuring that VarM(T) ∼ 0 as T ∼ ∞. Some applications are given to the satellites of Jupiter and Saturn, in particular giving a possible explanation of the equal mass families of satellites.
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About
- Item ORO ID
- 79004
- Item Type
- Journal Item
- ISSN
- 0022-2488
- Academic Unit or School
- Faculty of Science, Technology, Engineering and Mathematics (STEM)
- Copyright Holders
- © 2013 American Institute of Physics
- Depositing User
- Andrew Neate