# Scale invariant stellar structure

@article{Bludman2010ScaleIS, title={Scale invariant stellar structure}, author={Sidney A. Bludman and Dallas C. Kennedy}, journal={arXiv: Classical Physics}, year={2010} }

In scale invariant hydrostatic barotropes, the radial evolutionary equation linearly relates the local gravitational and internal energies. From this first-order equation, directly follow all the properties of polytropes and the important mass-radius relation. Quadrature then leads to the regular Lane-Emden functions and their Picard and Pade approximations, which are useful wherever stars are approximately or exactly polytropic. We illustrate this particularly for the n=3 regular polytrope and… Expand

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