• Corpus ID: 119591532

Scale invariant stellar structure

  title={Scale invariant stellar structure},
  author={Sidney A. Bludman and Dallas C. Kennedy},
  journal={arXiv: Classical Physics},
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… 

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