Open AccessAnalytic solutions for spherical gravitational gas accretion on to a solid body
Author(s) -
Gaite José
Publication year - 2003
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.2003.06341.x
Subject(s) - polytropic process , physics , shock wave , accretion (finance) , classical mechanics , gravitational wave , gravitational collapse , similarity solution , gravitation , astrophysics , homogeneous , mechanics , statistical physics , boundary layer
The process of gravitational accretion of initially homogeneous gas on to a solid ball is studied using the methods of fluid dynamics. The fluid partial differential equations for polytropic flow can be solved exactly in an early stage, but this solution soon becomes discontinuous and gives rise to a shock wave. Afterwards, there is a crossover between two intermediate asymptotic self‐similar regimes, where the shock wave propagates outwards according to two similarity laws, initially accelerating and then decelerating (and eventually vanishing). Lastly, we study the final static state. Our purpose is to attain a global picture of the process.