Variational method of calculation of equilibrium constant density stellar structures in external gravitational fields
In the given article a method of stellar structure calculation is introduced for stars located in the vicinity of a supermassive black hole. The efficiency of the given method is demonstrated by a simple example of a constant density star freely falling into a nonrotating black hole. A method of calculation of the surface equation of a rotating constant density star is also developed in the article starting from the variational principle.