A non-elliptic solution of the Lane-Emden equation for index n=5

Details A non-elliptic solution of the Lane-Emden equation for index n=5 A non-elliptic solution of the Lane-Emden equation for index n=5

Mar 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977phla...60..381s&link_type=abstract

Physics Letters A, Volume 60, Issue 4, p. 381-382.

Physics

Scientific paper

A condition for the existence of non-elliptic solutions of the Lane-Emden equation of index 5 is obtained. It is shown that for a particular non-zero value of the integration constant D the equation admits a non-elliptic solution and thus leads to the modification of the statement of Chandrashekhar [1] that the solution of the Lane-Emden equation of index 5 for non-zero values of D is complicated and involves elliptic integrals. Some characteristics of the new solution curves are also discussed.

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