105 | | Since I am having difficulty saving an initial density function in astrobear for use with !ProblemBeforeStep, I just plotted the analytical function for the initial density perturbation and the perturbation after an e-folding time in Mathematica. The e-folding time in physical units is - These |

| 105 | Since I am having difficulty saving an initial density function in astrobear for use with !ProblemBeforeStep, I just plotted the analytical function for the initial density perturbation and the perturbation after an e-folding time in Mathematica. The e-folding time in physical units is ~6 Myr, and in computational units corresponds to t = 0.0016. |

| 106 | |

| 107 | |

| 108 | [[Image(RhoInit.png, 35%)]] |

| 109 | |

| 110 | |

| 111 | |

| 112 | [[Image(RhoFinal.png, 35%)]] |