The analysis of the stellar systems which Herschel uses to build his cosmology upon, shows an illustration of the laws of evolution of astronomy which we listed in a previous work. The essential characteristics of Herschel’s method are shown: 1) Application of geometric and kinematic criteria to telescopic observation. 2) The law of gravitation as a universal concept. 3) The analog reasoning of T. Wright and Kant. 4) Lambert's cosmology. These characteristics are discussed in relation to some discoveries of that time; the law of Titius - Bode, the planet Uranus, and the asteroid Ceres.Asociación Argentina de Astronomí