Stability of the uniform nonlinear pulsations of gravitating gas spheres

Details Stability of the uniform nonlinear pulsations of gravitating gas spheres Stability of the uniform nonlinear pulsations of gravitating gas spheres

Aug 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976izssr.......14s&link_type=abstract

Akademiia Nauk SSSR, Izvestiia, Mekhanika Zhidkosti i Gaza, July-Aug. 1976, p. 14-20. In Russian.

Astronomy and Astrophysics

Astrophysics

Pressure Pulses, Stable Oscillations, Stellar Gravitation, Variable Stars, Astrophysics, Density Distribution, Nonlinearity, Oscillating Flow, Spheres

Scientific paper

In the pulsation theory of variable stars, a solution with uniform nonlinear pulsations of gravitating gas spheres is of particular interest because it accurately predicts the density pulsations, and because this simple physical model is amenable to analytical treatment. In the present paper, the stability of the exact solution with a periodically time-dependent uniform density is analyzed. It is shown that the equation describing the arbitrarily small disturbances of this solution can be reduced to a system of ordinary differential equations with periodic coefficients by expanding the disturbances in a series of a certain system of eigenfunctions.

Affiliated with

Also associated with

No associations

Rating

Stability of the uniform nonlinear pulsations of gravitating gas spheres 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 Stability of the uniform nonlinear pulsations of gravitating gas spheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability of the uniform nonlinear pulsations of gravitating gas spheres will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1872970