Open AccessAnalytical approximation for the structure of differentially rotating barotropes
Author(s) -
Odrzywołek A.
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.1365-8711.2003.06951.x
Subject(s) - physics , barotropic fluid , differential rotation , rotation (mathematics) , stars , range (aeronautics) , classical mechanics , distribution (mathematics) , differential (mechanical device) , statistical physics , astrophysics , theoretical physics , mathematical analysis , mechanics , geometry , aerospace engineering , thermodynamics , mathematics , engineering
The approximate analytical formula for density distribution in differentially rotating stars is derived. Any barotropic equation of state and conservative rotation law can be handled by using this method for a wide range of differential rotation strengths. The results are in good qualitative agreement in comparison to other methods. Some applications are suggested and possible improvements of the formula are discussed.