A second-order perturbation theory for differentially rotating gaseous polytropes

Details A second-order perturbation theory for differentially rotating gaseous polytropes A second-order perturbation theory for differentially rotating gaseous polytropes

Aug 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..64..359g&link_type=abstract

Astrophysics and Space Science, vol. 64, no. 2, Aug. 1979, p. 359-389.

Astronomy and Astrophysics

Astrophysics

33

Computerized Simulation, Gas Flow, Perturbation Theory, Polytropic Processes, Rotating Fluids, Angular Velocity, Axes Of Rotation, Boundary Value Problems, Computer Programs, Differential Equations, Mathematical Models, Run Time (Computers)

Scientific paper

The aim of the present investigation has been to specify the structure of a differentially rotating gaseous polytrope, by extending Chandrasekhar's method to include second-order terms in the perturbation parameter. The formal results obtained permit the determination of the polytropic structure for all types of differential rotation of cylindrical symmetry. The formalism developed works efficiently in the limiting case of uniform rotation and the results obtained are compared with those of previous investigations of uniformly rotating polytropes.

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