Topology of the Lane-Emden equation

Details Topology of the Lane-Emden equation Topology of the Lane-Emden equation

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...177..117h&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 177, no. 1-2, May 1987, p. 117-130.

Statistics

Computation

10

Computational Astrophysics, Differential Equations, Stellar Structure, Milne Method, Topology

Scientific paper

A complete topological study of the Lane-Emden equation is performed in terms of Milne's homology-invariant variables for the cases of principal practical interest: N = 1 (polytropic slabs), N = 2 (polytropic cylinders), and N = 3 (polytropic spheres). Several improvements and extensions in comparison with Kimura's (1981) work are made. The integral curves are calculated quantitatively for selected typical polytropic indices, and connections with previous work summarized by Chandrasekhar (1939) are made throughout.

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