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Bondi accretion

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Bondi accretion
NameBondi accretion
DiscovererHermann Bondi
Year1952
FieldAstrophysics; Fluid dynamics
RelatedBlack hole; Accretion disk; Spherical symmetry

Bondi accretion Bondi accretion describes steady, spherically symmetric flow of gas onto a compact object, formulated by Hermann Bondi in 1952 during studies related to Royal Astronomical Society problems and debates contemporaneous with research at Cambridge University and interests of Fred Hoyle and Subrahmanyan Chandrasekhar. It provides a baseline model for mass capture by isolated objects such as black hole, neutron star, and white dwarf candidates and informs analyses in contexts like Interstellar medium accretion, Active galactic nucleus fueling, and early models preceding modern accretion disk theory by Shakura–Sunyaev and others.

Introduction

The Bondi paradigm was introduced in a milieu involving figures associated with Royal Society meetings and debates touching on work by Arthur Eddington and Lev Landau, consolidating spherical accretion as a complement to rotating models advanced by Lynden-Bell and Shakura–Sunyaev. It assumes an ideal, non-rotating ambient medium at infinity and yields analytic insight useful in interpretations of observations tied to objects studied at institutions like Harvard–Smithsonian Center for Astrophysics and Max Planck Institute for Astrophysics.

Physical Theory

Bondi accretion rests on conservation laws from Isaac Newton-era gravitation extended via continuum hypotheses from Leonhard Euler and Daniel Bernoulli principles, embedding thermodynamic closure often via a polytropic relation originally considered by S. Chandrasekhar. The model contrasts with rotating flows invoked in work by Frank, King, and Raine and with relativistic corrections explored by Roger Penrose and John Wheeler. Key physical quantities include sound speed, density, and Mach number; the critical sonic radius resembles analyses in Subrahmanyan Chandrasekhar's stellar structure studies and echoes transit conditions in Lighthill-type fluid phenomena.

Mathematical Formulation

The canonical Bondi solution solves the steady, spherical Euler equations under a central potential from Isaac Newton, with a polytropic equation of state parameterized by an adiabatic index often compared to values used by Enrico Fermi in dense matter contexts. The problem reduces to algebraic relations between dimensionless accretion rate, Mach number, and radius, producing a critical point akin to those in transonic flow studied by Theodore von Kármán and Ludwig Prandtl. Relativistic generalizations were later framed in terms of the Schwarzschild metric associated with Karl Schwarzschild and extended in work connected to Roy Kerr metrics.

Extensions and Generalizations

Generalizations incorporate angular momentum following lines of inquiry by Pringle and Shakura–Sunyaev, magnetic fields in magnetohydrodynamic treatments linked to Eugene Parker and Hannes Alfvén, and radiative feedback considered in studies by Martin Rees and Geoffrey Burbidge. Time-dependent collapse and instability analyses build on methods from Lev Landau and Evgeny Lifshitz and link to accretion scenarios in Type Ia supernova progenitor models discussed by Wheeler-era researchers and groups at Lawrence Livermore National Laboratory.

Astrophysical Applications

Bondi-type accretion rates are used as order-of-magnitude estimates for mass growth in environments around Sagittarius A*, the supermassive object at the center of the Milky Way, and for isolated compact objects surveyed by facilities such as Chandra X-ray Observatory and XMM-Newton. The framework informs theoretical treatments of fueling in Active galactic nucleus models examined by researchers at Institute of Astronomy, Cambridge and in cosmological contexts addressed by teams from European Southern Observatory and Space Telescope Science Institute. It is also applied in modeling accretion onto primordial objects in scenarios connected to Big Bang nucleosynthesis constraints.

Observational Evidence

Observational comparisons employ X-ray and radio data from instruments operated by organizations like NASA and European Space Agency, with studies of low-luminosity accretion onto Sagittarius A* and accreting isolated neutron stars contributing empirical tests cited in papers by groups at Harvard and MIT. Limits on Bondi accretion rates have been inferred from spectra obtained with Chandra X-ray Observatory and interpreted alongside theoretical expectations from teams including those at CfA and Max Planck Institute for Radio Astronomy.

Numerical Simulations

Numerical explorations began with one-dimensional hydrodynamic codes influenced by early computational work at Los Alamos National Laboratory and advanced to multidimensional magnetohydrodynamic simulations developed at centers like Princeton University and Kavli Institute for Theoretical Physics. Modern simulations incorporate relativistic dynamics by groups using codes validated against analytic Bondi solutions and compared with results from large collaborations at National Center for Supercomputing Applications and Jet Propulsion Laboratory, linking computational outcomes to observations from facilities such as Very Large Array.

Category:Astrophysics