Lane–Emden equation
dimensionless form of Poisson's equation for the gravitational potential of a Newtonian self-gravitating, spherically symmetric, polytropic fluid
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Summary
Lane–Emden equation is a second order differential equation[1].
Key Facts
- Instance of: ordinary differential equation[2]
- Named after: Jonathan Homer Lane[3], Robert Emden[4]
- Defining formula: \frac1{\xi^2}\frac{\mathrm d}{\mathrm d\xi}\left(\xi^2\frac{\mathrm d\theta}{\mathrm d\xi}\right)+\theta^n=0[5]
- Maintained by WikiProject: WikiProject Mathematics[6]
- In defining formula: \xi[7]