24-26 September 2020
Lima, Perú
America/Lima timezone
Share our event through the following link: https://indico.uni.edu.pe/e/Meeting-of-Physics-2020

Step-by-step analitical solutions of the Lane-Emden equation with politropic index 0, 1 and 5 using SymPy

25 Sep 2020, 12:30
Lima, Perú

Lima, Perú

Centro de Investigación de la Facultad de Ciencias Universidad Nacional de Ingeniería
poster General relativity and Field theory Poster session


Ricardo Angelo Quispe Mendizábal (Universidad Nacional Mayor de San Marcos)


In the study of the stellar structures, some models arises to explain their interior dynamics and surface consequences (measurable in the laboratory), the Lane-Emden equation provides us with a detailed explanation of the astrophysical properties of these stars based on newtonian self-gravitating, spherically symmetric and polytropic fluid. We present a revisited step by step solution for the well known cases for politropic index n=0 and n=1, and all real solutions for n=5 in terms of Jacobian and Weierstrass elliptic functions. All the calculus are performed using Sympy.

Primary authors

Ricardo Angelo Quispe Mendizábal (Universidad Nacional Mayor de San Marcos) Mr Martin Vuelta (Universidad Nacional Mayor de San Marcos)

Presentation Materials

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