9 citations · 11 across the 3 of their papers we have counts for
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astro-ph2008★ 2 cited
A Roche Model for Uniformly Rotating Rings
Stefan Horatschek, David Petroff
A Roche model for describing uniformly rotating rings is presented and the results are compared with numerical solutions to the full problem for polytropic rings. In the thin ring…
astro-ph2008★ 9 cited
Uniformly Rotating Polytropic Rings in Newtonian Gravity
David Petroff, Stefan Horatschek
An iterative method is presented for solving the problem of a uniformly rotating, self-gravitating ring without a central body in Newtonian gravity by expanding about the thin ring…
astro-ph2008
Uniformly Rotating Homogeneous Rings in Newtonian Gravity
Stefan Horatschek, David Petroff
In this paper, we describe an analytical method for treating uniformly rotating homogeneous rings without a central body in Newtonian gravity. We employ series expansions about the…