Stability and solution of the time-dependent Bondi–Parker flow

  title={Stability and solution of the time-dependent Bondi–Parker flow},
  author={Eric R. Keto},
  journal={Monthly Notices of the Royal Astronomical Society},
  • E. Keto
  • Published 20 February 2020
  • Physics
  • Monthly Notices of the Royal Astronomical Society
Bondi (1952) and Parker (1958} derived a steady-state solution for Bernouilli's equation in spherical symmetry around a point mass for two cases, respectively, an inward accretion flow and an outward wind. Left unanswered were the stability of the steady-state solution, the solution itself of time-dependent flows, whether the time-dependent flows would evolve to the steady-state, and under what conditions a transonic flow would develop. In a Hamiltonian description, we find that the steady… 

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