Central burst of simultaneously rotating and gravitating body

Details Central burst of simultaneously rotating and gravitating body Central burst of simultaneously rotating and gravitating body

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984rpee....4....9g&link_type=abstract

In its USSR Rept.: Eng. and Equipment (JPRS-UEQ-84-004) p 9 (SEE N84-22772 13-31) Transl. into ENGLISH from Dokl. Akad. Nauk S

Astronomy and Astrophysics

Astrophysics

Astrophysics, Bursts, Ellipsoids, Fluid Mechanics, Gas Expansion, Rotating Bodies, Spherical Coordinates, Adiabatic Conditions, Conservation Laws, Euler-Lagrange Equation, Gravitation, Momentum Theory, Pressure Distribution, Shock Fronts

Scientific paper

The astrophysical problem of bursts in simultaneously rotating and gravitating celestial bodies is treated as an axisymmetric one for a homogeneous ellipsoid bursting at the center. It is formulated in a system of spherical coordinates with the sought distributions of pressure and gravitational potential appropriately stipulated. The corresponding equations of steady axisymmetric adiabatic motion of a gas during the initial stage, before the shock wave reaches the surface, are formulated in Lagrange variables and by the asymptotic method of a thin shock layer with epsilon = upsilon -1 as the small parameter upsilon- adiabatic exponent) and with appropriate boundary conditions at the shock wave front. Consideration is taken of the law of momentum conservation and the condition of continuity for the tangential velocity component as well as for Euler and Lagrange variables. Emergence of the shock wave at the body surface, at the poles first, results in formation of jets associated with expansion of a gas into vacuum.

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