Existence of rotating planet solutions to the Euler-Poisson equations with an inner hard core
arXiv:1410.3719 · doi:10.1007/s00205-015-0891-9
Abstract
The Euler-Poisson equations model rotating gaseous stars. Numerous efforts have been made to establish existence and properties of the rotating star solutions. Recent interests in extrasolar planet structures require extension of the model to include a inner rocky core together with its own gravitational potential. In this paper, we discuss various extensions of the classical rotating star results to incorporate a solid core.
25 pages
References in corpus (4)
- The Heavy Element Masses of Extrasolar Giant Planets, Revealed
- A Massive Core in Jupiter Predicted From First-Principles Simulations
- Existence and Nonlinear Stability of Rotating Star Solutions of the Compressible Euler-Poisson Equations
- Effects of Collisions with Rocky Planets on the Properties of Hot Jupiters