  In this work, we investigate astrophysical systems in a Newtonian regime
using anisotropic matter. For this purpose, we considered that both radial and
tangential pressures satisfy a generalized Chaplygin-type equation of state.
Using this model, we found the Lane--Emden equation for this system and solved
it numerically for several sets of parameters. Finally, we explored the mass
supported by this physical system and compared it with the Chandrasekhar mass.
