Density Distribution in the Gaseous Envelope of the Planet

Purpose: Theoretical study of gas density distribution around the planet given self-gravity. Methods: Proposed in this paper equations for gaseous envelope with corresponding boundary conditions are solved analytically and numerically by Runge-Kutta method. Results: For first time, analysis numerical solution all space where gravitational influence prevails - distance range from surface till Hill radius has been pursued using similarity Near planet, coincides classical barometric formula, at intermediary distances, formula which takes into consideration dependence free fall acceleration large singular isothermal sphere due to Practical significance: On basis obtained, unified picture was analyzed. The results presented can be useful both university physics professors researchers involved astrophysics.