A definition of the initium-method of spherical arcs is proposed. Theoretical and operational aspects of the method are discussed. Geometrical homogeneity is achieved by measuring arc distances between vertices of the octant (a right-angle spherical triangle) and the object in question. The measurements are made with the use of the standard angle γ on board a satellite with rotation rate reconstructions with splines. The chosen standard angle is discussed. The accuracy estimations are given.