Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..47..229d&link_type=abstract
Astrophysics and Space Science, vol. 47, Mar. 1977, p. 229-236.
Astronomy and Astrophysics
Astrophysics
Astrophysics, Dynamic Stability, Shock Wave Propagation, Stellar Models, Continuity Equation, Flow Equations, Partial Differential Equations, Rankine-Hugoniot Relation
Scientific paper
Sedov (1957) constructed a set of simple formulas from a general solution that describes the dynamic behavior of an unstable stellar configuration. The same problem is reinvestigated by reducing the nonlinear partial differential equations of motion to ordinary differential equations by a method similar to that of Courant and Friedrichs (1948), assuming that the velocity of a gas element at distance r and time t varies as r/t. It is found that a solution exists only if the constant of proportionality equals 2/3 and that there are only two sets of physically meaningful solutions. These results are shown to verify the previous finding that the mass enclosed within a shock surface at any given time equals that contained within the same radius in the undisturbed state of the gaseous mass.
No associations
LandOfFree
On a type of solutions for dynamical rupture of the equilibrium of stars does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On a type of solutions for dynamical rupture of the equilibrium of stars, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a type of solutions for dynamical rupture of the equilibrium of stars will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1845416