In the Newtonian setting, a star is modelled as a spherically symmetric gas obeying the compressible Euler-Poisson system. In certain regimes, smooth initial data may give rise to blow-up solutions, corresponding to the collapse of a star under its own gravity, and such solutions have been rigorously constructed in recent years. In this talk, I will present the nonlinear stability of the simplest of these blow-up profiles, the Larson- Penston solution to the Euler-Poisson equations. This is based on joint works with Yan Guo, Mahir Hadzic, and Juhi Jang.