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Non-convergence of the critical cooling timescale for fragmentation of self-gravitating discs
accretion accretion discs protoplanetary discs planets and satellites
2010/11/10
We carry out a resolution study on the fragmentation boundary of self-gravitating discs. We perform three-dimensional Smoothed Particle Hydrodynamics simulations of discs to determine whether the crit...
Homotopy Continuation Method of Arbitrary Order of Convergence for Solving the Hyperbolic Form of Kepler’s Equation
Homotopy method hyperbolic Kepler’s equation initial value problem orbit determination
2009/5/12
In this paper, an efficient iterative method of arbitrary integer
order of convergence ≥ 2 has been established for solving the hyperbolic
form of Kepler’s equation. The method is of a dynamic natur...