The structure, stability, and form of marginally stable axisymmetric perturbations of rotating gas clouds with simple conformal density distributions. I - General features and analytical solutions

Astronomy and Astrophysics – Astrophysics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

12

Equilibrium Equations, Gas Dynamics, Protostars, Rotating Matter, Cosmology, Density Distribution, Differential Equations, Equations Of State, Polar Coordinates

Scientific paper

A family of conformal solutions of the equilibrium equations for differentially rotating and selfgravitating gas clouds is considered. The clouds are infinitely extended and have infinite central densities. As the radial parts of the solutions are given by power laws, the problem of the equilibrium structure is reduced to a system of ordinary differential equations for the angular parts. A case of radiative equilibrium and cases of rotating polytropes are discussed. Axially symmetric, marginally stable, polytropic perturbations of these equilibrium states are considered, and by separation of the variables the perturbation equations are reduced to ordinary differential equations for the angular parts of the perturbations. The radial parts are simple oscillating functions with Titius-Bode law features. Special attention is called to polytropic perturbations of polytropic equilibrium states, in particular to the case of isothermal perturbations of isothermal undisturbed clouds.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

The structure, stability, and form of marginally stable axisymmetric perturbations of rotating gas clouds with simple conformal density distributions. I - General features and analytical solutions 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 The structure, stability, and form of marginally stable axisymmetric perturbations of rotating gas clouds with simple conformal density distributions. I - General features and analytical solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The structure, stability, and form of marginally stable axisymmetric perturbations of rotating gas clouds with simple conformal density distributions. I - General features and analytical solutions will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1857187

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.